Mathematics College

The equation of the line y=2x+3 passes through which of the following points? (1,4)(-1,4)(2,3)(3,2)

Answers

Answer 1

Answer:

Step-by-step explanation:

Fill in X and Y for each of the equations until you find one that fits

Answer 2

The equation of the line y=2x+3 passes through the (1,4) point only.
The line gave y=2x+3.

In order to check whether the line passes through the points the following steps are:

A) (1,4)

Here x=1 , y=4.

We will put these values in the line y=2x+3.

4= 2(1)+3

4=4
As L.H.S=R.H.S, therefore this point (1,4) passes through the line.

B) (-1,4)

Here x=-1 , y=4.

We will put these values in the line y=2x+3.

4= 2(-1)+3

4= -2+3
4 [tex]\neq[/tex] 1
As L.H.S [tex]\neq[/tex]R.H.S, therefore this point (1,4) does not pass through the line.

C) (2,3)

Here x=2 , y=3.

We will put these values in the line y=2x+3.

3= 2(2)+3

3= 4+3
3 [tex]\neq[/tex] 7
As L.H.S [tex]\neq[/tex]R.H.S, therefore this point (2,3) does not pass through the line.

D) (3,2)

Here x=3 , y=2.

We will put these values in the line y=2x+3.

2= 2(3)+3

2= 6+3
2 [tex]\neq[/tex] 9
As L.H.S [tex]\neq[/tex]R.H.S, therefore this point (3,2) does not pass through the line.

Only (1,4) point passes through the line.

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Related Questions

Solve the system by substitution. y equals 2 x squared minus 3 x minus 1 y equals x minus 3

Answers

y = 2x ^2 - 3x - 1
y = x-3

First we put the equation in terms of x, we replace y = x-3 in the other equation
y = 2x ^2 - 3x - 1, so we get:

x-3 = 2x^2 - 3x - 1
0 = 2x^2 - 3x - x - 1 + 3
0 = 2x^2 - 4x + 2

We look for a common factor in the equation which is 2:

2 ( x^2 - 2x + 1) = 0

We send the 2 to the other side as a division of 0 so it becomes 0, because 0 divided by anything is 0:

x^2 - 2x + 1 = 0/2
x^2 - 2x + 1 = 0

In ax^2 + bx + c find two numbers that added are b and that multiplied are c, in this case is -1 and -1, because b = -2 and c = 1 and b = (-1) + (-1) b = -2 and c = (-1) • (-1) c = 1, so we get:

(x-1) (x-1) = 0

So we get that:

x - 1 = 0
x = 1

I hope I was helpful.

what is the fourth term of d 4b3

Answers

The fourth term of the polynomial (d - 4b)³ is D. -64d³.

What is a polynomial?

A polynomial is an expression involving the operations of addition, subtraction, multiplication of variables.

Given the expression (d - 4b)³, we need to open the bracket, hence:

(d - 4b)³ = d³ + 3(d²)(-4b) + 3(d)(-4b)²

= d³ - 12bd² + 48b²d - 64d³

Therefore, the fourth term of (d - 4b)³ is D. -64d³

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You recently joined a gym. You had to pay a joining fee of $40, and you will pay $20 per month to maintain the membership. Part A (6 points) Write an equation in slope-intercept form that represents the cost of the membership in relation to time.

Answers

The cost of the membership is the initial joining fee plus the cost per month multiplied by the number of months.

If the cost after [tex]m[/tex] months is [tex]c[/tex] dollars, then [tex]c=20m+40[/tex].

How do you find equivalent in math?

Answers

To find equivalent expression in math is the fractions with distinct numerators and denominators but the same value are said to be equivalent fractions.

In mathematics, equivalent fractions are those with the same denominator and differing numerators.

The multiplicity of a member of a multiset in mathematics is the number of times the member appears in the multiset. The multiplicity of a root, for instance, is how many times a given polynomial has a root at a particular point.

It's crucial to understand the concept of multiplicity in order to correctly count without mentioning exceptions (for example, double roots counted twice). Thus, "counted with multiplicity" is used.

This can be highlighted by counting the number of different elements, as in "the number of separate roots," if multiplicity is disregarded. However, multiplicity is always taken into account when a set (as opposed to a multiset) is established, therefore the word "different" is not necessary.

For instance, if we simplify 5/15, we get a fraction that is equal to 1/3, which is equal to 5/15.

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Gert invested all of her money at the end of 2000. At the end of each year, she checks the value of her investment. At the end of what ear will she first find she's doubled her money if gert invested all of her money at 5% simple interest?

Answers

The year in which Gert will find that she has doubled her money is year 20.

What year will the amount have doubled?

Simple interest is when the interest earned on an investment increases linearly each year.

The formula that can be used to determine simple interest is:

Simple interest = amount invested x duration of the investment x interest rate.

When the amount of money in the account is double what it is now, it means that the interest earned would be $2000 and the value of the account would $4000 (2000 + 2000).

Year when investment would have doubled = simple interest / (amount invested x interest rate)

Year when investment would have doubled = $2000 / (0.05 x 2000)

Year when investment would have doubled = $2000 / 100 = 20 years

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On Tuesday, the Soto Salad restaurant served 6 ½ cups of Italian salad dressing. If the restaurant serves ¼ cup of dressing with each salad, how many salads were ordered with Italian dressing?
Group of answer choices

26

22

24

28

Answers

Answer:

Answer choice 1.

Step-by-step explanation:

6 1/2 ÷ 1/4 is our equation.

6 1/2 as an improper fraction is 13/2

Our new equation is 13/2÷1/4

flip the divisor into a reciprocal and multiply:

13/2×4/1

simplify:

13/1×2/1

26/1

=26

PLEASE MARK BRAINLIEST

Answer: The answer is A or 26

Step-by-step explanation: I have my ways ;>

The table shows Tonya's homework assignment. Tonya's teacher instructed the class to simplify each expression by dividing the numerator and denominator by the GCF.
Complete the table by simplifying each expression and then finding the value.

Answers

Divide the numerator and denominator by the GCF to reduce a fraction. (This is also referred to as "writing a fraction in the simplest terms.") The common factors are sometimes shown to be "cancelled." It is worth noting that the result is an equivalent fraction in its simplest form.

How do you divide the numerator to the denominator by GCF?

To put it simply, we must divide the numerator (x) by the denominator (y) to simplify it. For example, after simplifying 3 6, represent it as a fraction and identify the numerator and denominator. 3 6 can be written as 3/6. Further simplification yields 1/2.

Let's pretend the fraction is a proper fraction. The denominator is the numerator. We want to reduce the fraction to its simplest form.

a) Use Numerator =Remainder* as the denominator.

Now Numerator >Remainder* b)Numerator Remainder*=Remainder** c) ••• (keep going until Remainder =0)

d) When the Remainder equals zero, the Divisor is the GCD (or GCF, as you say). GCF is a misnomer because it only deals with numbers. Only the term GCF applies to variables (with numerical values, as in algebraic expression).

Let us look at an example.

407/3367 is the fraction.

As evident, the numbers407 ,3367 does not appear to have share Divisors 2 or 3 or 5 or 7 or 11 from prima facie considerations. So we may take recourse of successive division method.

3367 ÷407 =Remainder 111 (quotient 8)

407 ÷ 111 =Remainder 74 (quotient 3)

111 ÷74=Remainder 37 (quotient 1)

74 ÷37 =Remainder 0 (ZERO )

Here 37 divides leaving Remainder zero. Therefore the GCD is 37

Fraction 407 /3367 =(407 ÷37)/(3367÷37)=11/91

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The table shows the lengths of hiking trails. It took Lannie 1.9 hours
to hike Ranger Cove Trail. It took Ava 4 hours to hike Mohawk Trail.
Write and solve an equation to find the average hiking rate for
Lannie. Write and solve an equation to find the average hiking rate
for Ava. What is the difference between their average hiking rates?
Round to the nearest tenth.

Answers

The difference between their average hiking rates is 0.51 miles/hour.

Given that, it took Lannie 1.9 hours to hike Ranger Cove Trail. It took Ava 4 hours to hike Mohawk Trail.

What is the speed?

The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance travelled by a body in a given period of time. The SI unit of speed is m/s.

Using speed =Distance/Time

Here, Ranger Cove distance =4.8 miles and time =1.9 hours

Now, rate =4.2/1.9

= 2.21 miles/hour

Mohawk Trail distance =6.8 miles and time =4 hours

Now, rate =6.8/4

= 1.7 miles/hour

The difference between their average hiking rates

= 2.21-1.7

= 0.51 miles/hour

Hence, the difference between their average hiking rates is 0.51 miles/hour.

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Please help will mark Brainly

Answers

Answer:

neither narrower or broader

Step-by-step explanation:

if you look at your problem it says identical so that means exactly the same so it would be the second choice neither narrower or broader

How do you find the slope of a vertex?

Answers

How to find a parabola's equation using its Vertex Form

Step 1: use the (known) coordinates of the vertex, (h,k), to write the parabola's equation in the form: y=a(x−h)2+k. ...

Step 2: find the value of the coefficient by substituting the coordinates of point P into the equation written in step 1 and solving for a.

Describe the function‘s end behavior. f(x)=−10+2x^5−9x^3

as x→∞,f(x)→
as x→−∞,f(x)→

Answers

The function‘s end behavior is falls to the left and rises to the right.

The given function is [tex]f(x)=-10+2x^5-9x^3[/tex].

What is the function?

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Use the degree and the leading coefficient to determine the behavior.

Falls to the left and rises to the right.

Find where the first derivative is equal to 0 to find the local maxima and minima.

x =−3√30/10 is a local maximum

x = 3√30/10 is a local minimum

Therefore, the function‘s end behavior is falls to the left and rises to the right.

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Given f(x)=4(3-x), what is the value of f(-11)? How do I solve these types of equations?

Answers

Answer:

-32

Step-by-step explanation:

Simple

you will just substitute where there is x

for example if f(x)=3x+1 what is f(-2) so we will just substitute( place 2 for x)

it will now be f(-2)=3(-2)+1

=-6+1

=-5

so back to your question My friend

f(x)=4(3-x)

f(-11)=4(3-11)

=4(-8)

=-32

Thanks

In which quadrant is the number 5i located on the complex plane?

Answers

The number 5i located on the complex plane in I Quadrant.

What is Complex Plane?

The real axis and the imaginary axis are the graph's horizontal and vertical axes, which are orthogonal (or perpendicular). The labels Re and Im are typically present. The complex plane is the plane defined by these coordinates.

We are aware that in a two-dimensional plane, an ordered pair's x- and y-coordinates are treated as the real and imaginary parts of the complex number, respectively.

i.e., a+bi=(a,b) -- Quadrant I,

-a+bi=(-a,b) -- Quadrant II,

a-bi=(a,-b) -- Quadrant III

and

-a-bi=(-a,-b) -- Quadrant IV

The complex number that is being presented is 5i, aland it is located in quadrant I.

As a result, the complex number in question belongs in Quadrant I.

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Need help pls on maths question

Answers

Answer please anyone help same doubht

Step-by-step explanation:

Answer:

Refer to the photos taken.

Step-by-step explanation:

Ms. Rios mowed
1
4
of her lawn. Her son mowed
3
7
of it. Who mowed most of the lawn? How much of the lawn still needs to be mowed?

Answers

Her son mowed the most lawn

35%of the lawn meeds to be mowed

Find the amount Erica owes at the end of 6 years if $ 5300 is loaned to her at a rate of 8 % compounded monthly. use A=P(1+r÷n)ⁿt
The amount owed is $
(Do not round until the final answer. Then round to the nearest cent as needed.)

Answers

The final amount compounded monthly at a rate of 8% over 6 years on a principal of $5300 is $8551.56

Compound Interest

Compound interest is the interest calculated on the principal and the interest accumulated over the previous period. It is different from simple interest, where interest is not added to the principal while calculating the interest during the next period.

The formula of compound interest as given in the questions is

A = Final amount P = principalr = ratet = timen = number of times compounded

A = P[(1 + r/n)^nt

Substituting the values into the formula

A = 5300(1 + 0.08/6)^12 * 6

A = 8,551.56

Erica will owe $8551.56

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Determine which set of ordered pairs represent a
Function and justify your selection.
{(-1,4), (2, 4), (8,4), (10,4)}
{(0, -2), (3, 7), (0, 2), (18,2))
{(-1,3), (-1,-1), (-1,-12), (-1,0)}
{(1, 2), (2, 3), (3, 4), (3,5)}
Justification: (What is your reasoning?)

Answers

Answer:

{(-1,4), (2, 4), (8,4), (10,4)}

all of the x-values are different

Step-by-step explanation:

The other three options have duplicate x-values with different y-values.

y.y^3.y^2 pleas help me and spread the gospel of God

Answers

Answer:

[tex]y^6[/tex]

Step-by-step explanation:

1) Use Product Rule: [tex]x^ax^b=x^{a+b}[/tex].

[tex]y^{1+3+2[/tex]

2) Simplify 1 + 3 to 4.

[tex]y^{4+2}[/tex]

3) Simplify 4 + 2 to 6.

[tex]y^6[/tex]

Thank you,

Eddie

Cindy is attempting to calculate how much her car payment would be for a car that costs $27,000 to be repaid with monthly payments in 4 years at 4% APR.

Answers

Cindy's monthly payment of $609.63 will cost her $29,262.24 in 4 years at a 4% APR.

How is the total cost determined?

The total cost that Cindy will spend on the car which costs $27,000 is computed by multiplying the monthly payment by 48 months (the payment period).

The monthly payment can be determined using an online finance calculator that compounds the interest rate monthly for four years.

Cost of car = $27,000

Annual Percentage Rate (APR) = 4%

Payment period = 4 years (monthly)

N (# of periods) = 48 months (4 years x 12)

I/Y (Interest per year) = 4%

PV (Present Value) = $27,000

FV (Future Value) = $0

Results:

PMT = $609.63

Sum of all periodic payments = $29,262.24

Total Interest = $2,262.45

Thus, Cindy will spend $29,262.24 for a car that costs $27,000, if she repays monthly for 4 years.

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7. What is Mrs. Dudley's waming to the guests regarding her leaving the property at night?
a. If they do not clear the dinner table, she will not "wait on people" the following moming
(b.) If they get into trouble, she wouldn't be able to hear them "in the night"
c. If they decide they want to leave, no one will be there to "open the gate" for them
d. If they experience anything, not to "confront" it
8. Which statement best embodies Eleanor's feelings about Hill House?
a. "There is a comforting calmness that accompanies the silence that fills these halls"
b. "My confidence grew that my journcy will end with lovers mecting" "It's awful and I don't want to stay...get away from here, get away"
a. "I am finally starting to feel wanted because of these three people I can call friends"
9. The second guest claims that Eleanor is like his/her...
a. Best friend
b. Sister
(c) Cousin
d. mother
10. Which of the following statements does NOT describe Hill House or how it made its inhabitants feel?
a. "Hill House gave its guests a false sense of comfort and security"
b. "Hill House seemed awake"
c. "Hill House would stay as it was until it was destroyed"
d. "I am like a small creature swallowed whole by a monster [Hill House]"

Answers

In the end, Hill House stands for the enigmas of the human mind, whether it is "sane" or not, as well as the horror that the mind's intrinsic weirdness can arouse. Hill House is intricate, convoluted, and appears to be unknowable, just like the mind.

How does Dr Montague describe Hill House?

The history of Hill House is first described by Doctor Montague.

He asserts that "the concept of certain houses as filthy or banned" is an old one, much like the idea that some places on earth are fundamentally good and good, while others are sacred or holy.

Possibly "evil from the start," the Hill House has been uninhabitable for more than twenty years.

Instead of being malicious, Doctor Montague sees the home as sick or "deranged."

Doctor Montague learned about the rental from a previous tenant a year ago.

After researching it, he found that no renter had kept it for more than a few days.

Even finding a short-term lease, according to Montague, was challenging.

10) "Hill House provided its visitors with a false sense of security and comfort"

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A quality control activity analysis indicated the following four activity costs of a hotel. Verifying credit card information $189,800 Customer service training 379,600 Discounting room rates due to poor customer service 94,900 Correcting charges to customer invoices 284,700 Total $949,000

Answers

The percentage of the quality cost, that is taken up by the prevention and appraisal costs are:

Prevention cost - 40%Appraisal cost - 20%

How to find the percentage of cost?

The prevention cost would be the cost associated with customer service training as this ensures that less mistakes are made.

The appraisal cost would be the cost to verify credit card information.

The percentage of total quality control cost that prevention cost is, would be:

= 379, 600 / 949, 000 total

= 40 %

The percentage for appraisal cost is:

= 189, 800 / 949, 000

= 20 %

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The rest of the question is:

Present the percentage values of prevention and appraisal as a percentage of the quality cost.

Question 1: Multiply: 12.10²
A 120
B 12000
c 1200
D 1.2

Answers

Am pula mare!

Da aaaaaaaaaaa????

Kason went to Bella's bakery and ordered 3 mango smoothies, 3 chocolate covered cherries, and 1 peanut butter cookie how much money did he spend ?

chocolate-covered cherry costs $ 0.75 mango smoothies costs $ 4.25 peanut butter cookie costs $ 1.25

Answers

Answer:

16.25

Step-by-step explanation:

3 x 0.75(chocolate covered cherries) = 2.25

3 x 4.25(mango smoothie) = 12.75

1 x 1.25( peanut butter cookie)= 1.25

12.75 + 2.25 + 1.25= 16.25

I hope this helps...

Answer:

Kaso spent $16.25 at Bella's bakery

Step-by-step explanation:

Each item costs a certain amount of money. What you have to do is multiply that amount by the number of each item. Then, add the sum.

Kason ordered 3 mango smoothies. Each smoothie costs $4.25. Therefore multiply 3(4.25)=12.75

Next, he ordered 3 chocolate covered cherries. Each cherry costs 0.75. Multiply 3(0.75)=2.25

Finally, Kason ordered 1 peanut butter cookie. Since each cookie costs 1.25, that is the amount he paid for the peanut butter cookie.

Add the 3 numbers together.

12.75+2.25+1.25=16.25

This is the amount of money he spent in total.

A sample of bacteria is decaying according to a half-life model. If the sample begins with 700 bacteria, and after 13 minutes there are 630 bacteria, after how many minutes will there be 20 bacteria remaining?

When solving this problem, round the value of k to four decimal places and round your final answer to the nearest whole number

Answers

The number of minutes for 20 bacteria be left is 439minutes. The decay constant is 0.0081

What is exponential function?

An exponential function is a mathematical function, which is used in many real-world situations. It is mainly used to find the exponential decay or exponential growth or to compute investments, model populations and so on.

The No of bacteria left at a particular time t is given as N(t)= Noe^-kt

where No= initial number of bacteria

k= decay constant and t = time

after 13 minutes

630= 700e^-13k

divide both sides by 700

630/700= e^-13k

0.9= e^-13k

ln0.9= -13k

k= ln0.9/-13 = -0.1054/-13 = 0.0081

time for 20 bacteria to be left =

20= 700e^-0.0081t

= 20/700=e^-0.0081t

0.0286= e^-0.0081t

ln0.0286= -0.0081t

-3.554= -0.0081t

divide both sides by -0.0081

t= -3.554/-0.0081= 439 minutes ( nearest minutes)

therefore the time for the bacteria to be left is 439minutes

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An exponential function will have:

Answers

Answer:

Exponential functions have the form f(x) = bx, where b > 0 and b ≠ 1.

Step-by-step explanation:

At this rate, if Candidate A received 45 votes, how many votes did Candidate B receive?

Answers

The number of votes that Candidate B received, given the rate and the votes received by Candidate A, is 63 votes

How to find the number of votes?

The question shows that for every 5 votes received by Candidate A, Candidate B will receive 7 votes.

This means that if Candidate A has 45 votes, the number of votes that Candidate B would receive can be found to be :

= Number of votes received by Candidate A / Number of votes Candidate A receives per Candidate B x Number of votes Candidate B receives per Candidate A

= 45 / 5 x 7

= 9 x 7

= 63 votes

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The first part of the question is:

Candidate A receives about 5 votes for every 7 votes received by Candidate B.

A small toy rocket is launched from a 18-foot pad. The height (h, in feet) of the rocket t seconds after
taking off is given by the formula h = - 3t^2 + 3t+18. How long will it take the rocket to hit the
ground?

Answers

The time it would take the rocket to hit the ground upon launch is; 3 seconds.

At what time does the rocket hit the ground?

It follows from the task content that the time taken for the rocket in discuss to hit the ground upon launch is to be determined.

Since the given formula for the height in terms of time, t is;

h = - 3t² + 3t + 18

It follows that ; when the rocket hits the ground; the height; h = 0.

Therefore;

0 = - 3t² + 3t + 18

0 = -3t² + 9t - 6t + 18

0 = -3t ( t - 3 ) - 6 ( t - 3)

-3t - 6 = 0 OR. t - 3 = 0.

t = -2. OR. t = 3.

Therefore, since the time after launch can only be positive; the time taken for the rocket to hit the ground is; 3 seconds.

Answers

Answer: A

Step-by-step explanation:

18.6 is less than 18.7

so 18.6<18.7

A rectangular yard measuring 35 ft by 55 ft is bordered (and surrounded) by a fence. Inside, a walk that is 3 ft wide goes all the way along the fence. Find the area of this walk. Be sure to include the correct unit in your answer.

Answers

The area of walk is 504 square feet

Area of rectangle

The area of rectangle is define as a product of length L and width w

calculate the area of rectangle yard

Area = L x W,

where A equal the Area, L equals the length and W equal width.

A = 35 x 55

A= 1925 square feet

Area of the rectangular yard is 1925 square feet

From the question, we have 3ft wide goes all the way along the fence inside.

Therefore, we subtract six feet from each of the value of length ( 35) and width (55) because each side has 3feet .

Area = L x W

A = 29 x 49

A = 1421 square feet

Area of new rectangle formed by allowing for three foot walk is 1421 square feet

Area of Walk

To get the area walk; we subtract area of new rectangular formed from area of rectangular yard

Area of Walk = Area of Rectangular yard - Area of new rectangle

Area of Walk = 1925 - 1421

Area of Walk = 504 square feet.

Therefore, the area of walk is 504 square feet.

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what is the length of ac brainly

Answers

The length of AC is equal to 5 units.

Given:

From the figure :

ΔABC is a right angled triangle with sides:

AB = 3 and BC = 4

Right angled triangle:

A right-angled triangle is a type of triangle that has one of its angles equal to 90 degrees.

The other two angles sum up to 90 degrees. The sides that include the right angle are perpendicular and the base of the triangle.

The third side is called the hypotenuse, which is the longest side of all three sides.

we know that,

According to pythagorean theorem:

[tex]AB^2+BC^2 = AC^2[/tex]

3^2 + 4^2 = AC^2

9 + 16 = AC^2

AC^2 = 25

AC = [tex]\sqrt{25}[/tex]

AC = 5 units.

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Full question:

is in the image uploaded

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