Answers
Answer:
1: y = 3x + 1 Swap sides so that all variable terms are on the left hand side. 3x + 1 = y Subtract 1 from both sides.
2: y(x) = 5x, y(x) is just another way of writing the equation to indicate that y is a function of x. You could simply write it as y = 5x. Thus if we compare to the standard form equation y = ax + b, a=5 and b=0. Thus the y-intercept is zero.
3: the answer is simply 0
4: y-(1/5*x-10)=0
STEP
1
:
1
Simplify —
5
Equation at the end of step
1
:
1
y - ((— • x) - 10) = 0
5
STEP
2
:
Rewriting the whole as an Equivalent Fraction
2.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 5 as the denominator :
10 10 • 5
10 = —— = ——————
1 5
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
x - (10 • 5) x - 50
———————————— = ——————
5 5
Equation at the end of step
2
:
(x - 50)
y - ———————— = 0
5
STEP
3
:
Rewriting the whole as an Equivalent Fraction :
3.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using 5 as the denominator :
y y • 5
y = — = —————
1 5
Adding fractions that have a common denominator :
3.2 Adding up the two equivalent fractions
y • 5 - ((x-50)) 5y - x + 50
———————————————— = ———————————
5 5
Equation at the end of step
3
:
5y - x + 50
——————————— = 0
5
STEP
4
:
When a fraction equals zero :
4.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Hope this helps :)
Related Questions
A line has a slope of a and has a y-intercept of (0,b). Which equation represents this line?
A. y-b=a(x-0)
B. y+b=a(x-0)
C. y-0=a(x-b)
D. y-0=a(x+b)
PLEASE HELP GIVING 50 POINTS!!!
Answers
Step-by-step explanation:
General line equation: y = mx + c, where m is the slope of the line and c is the y-intercept.
We have y = ax + b.
=> y - b = ax
=> y - b = a(x - 0).
The answer is option A.
Answer:
A
[tex]general \: equation \: of \: line \\ y = mx + c \\ from \: the \: data \: given \\ m = a \\ c = b \\ y = ax + b \\ y - b = ax \\ y - b = a(x - 0)[/tex]
Which equation produces the values in the table?
O y= 4x
O y=4+x
O y=1/4x
Oy=4 - x
Answers
Answer:
Step-by-step explanation: It’s C thank me later
The equation produces the values in the table is y = x/4
What is an equation?Mathematically, an equation can be defined as a statement that supports the equality of two expressions, which are connected by the equals sign “=”.
For example, 2x – 5 = 13.
Given is table (attached) we need to determine an equation that produces the values in the table,
So, seeing the value it is much that the value of x are the 4 times of the values of y,
So, we can write,
4y = x
or, y = x/4
Hence, the equation produces the values in the table is y = x/4
Learn more about equation, click;
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Complete the sentence using the bare infinitive.
1.My parents often make me __________ English Subject
Answers
Answer:
study my ___________ I hope it helps
the following two ratios form a proportion 4/5 and 8/10. true or false (I need quick answers pls)
Answers
Answer:
this is true because you can divide 8/10 by 2 and you get the same number 2/5 and sorry for my english
what is the gcf of 8x³ and 6x²
Answers
Answer:
The GCF is 2²
Step-by-step explanation:
The factored expression would be 2²(4x+3) .
A line passes through the points (-1, -8) and (3, 12). Compute the slope of
the line. Show your steps. *
Your answer
This is a required question
A line passes through the points (-1, -8) and (3, 12). Write the equation for
the line that passes through these points in the form y=mx + b. (Hint: you
already computed m in the previous problem.) *
Answers
Answer:
y = 5x - 3
Step-by-step explanation:
The Slope of a Line
Suppose it's given a line that passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the formula:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
The equation of the line in slope-intercept form is:
y=mx+b
Where:
m = slope
b = y-intercept.
We are given the points (-1,-8) and (3,12). Compute the slope:
[tex]\displaystyle m=\frac{12+8}{3+1}=\frac{20}{4}=5[/tex]
The equation of the line now has one known value:
y = 5x + b
Let's use the point (3,12) to find the value of b:
12 = 5(3) + b = 15 + b
Solving for b:
b = 12 - 15 = -3
The required equation of the line is:
y = 5x - 3
Vocabulary: How are integers and their opposites related? Select all that are true.
Answers
Example:|-2| |2|
When using a number line, in which direction should you move when subtracting a negative value?
Answers
Answer:
LEFT
Step-by-step explanation:
Answer:
Move to the right when you're subtracting a negative number.
The average fuel efficiency of U.S. light vehicles (cars, SUVs, minivans, vans, and light trucks) for 2005 was 21 mpg. If the standard deviation of the population was 2.9 and the gas ratings were normally distributed, what is the probability that the mean mpg for a random sample of 25 light vehicles is Under 20
Answers
Answer:
0.042341
Step-by-step explanation:
We solve using z score formula
z = (x-μ)/σ/n, where
x is the raw score = 20 mpg
μ is the population mean = 21 mpg
σ is the population standard deviation = 2.9
n = random number of samples
Hence:
For x < 20
= z = 20 - 21/2.9/√25
= z = -1/2.9/5
= z = -1.72414
P-value from Z-Table:
P(x<20) = 0.042341
The probability that the mean mpg for a random sample of 25 light vehicles is Under 20 mpg is 0.042341
The probability that the mean mpg for a random sample of 25 light vehicles is 0.042341
Calculation:Here we used z score formula
z = (x-μ)/σ/n, wherex is the raw score = 20 mpgμ is the population mean = 21 mpgσ is the population standard deviation = 2.9n = random number of samplesSo,
For x < 20
= z = 20 - 21/2.9/√25
= z = -1/2.9/5
= z = -1.72414
Now
P-value from Z-Table:
P(x<20) = 0.042341
Learn more about the probability here: https://brainly.com/question/795909?referrer=searchResults
Can somebody please help with this? (Slope)
Answers
Answer:
the slope is m= 5/31 :)
Plss answer
i will give brainliest
Answers
Answer:
sorry im doing a challenge but i will have someone answer it
Step-by-step explanation:
Find the solution to the system of equations: x + 3y = 7 and 2x + 4y = 8
1. Isolate x in the first equation:
2. Substitute the value for x into the second equation:
3. Solve for y:
4. Substitute y into either original equation:
5. Write the solution as an ordered pair:
x = 7 – 3y
2(7 – 3y) + 4y = 8
14 – 6y + 4y = 8
14 – 2y = 8
–2y = –6
y = 3
x + 3(3) = 7
(, )
Answers
Answer:
The solution to the system of equation is: (-2,3)
Step-by-step explanation:
We need to find the solution to the system of equations: x + 3y = 7 and 2x + 4y = 8
I am placing steps for each point given
1. Isolate x in the first equation:
First equation is:
x+3y=7
Isolating x:
x=7-3y
2. Substitute the value for x into the second equation:
Second equation is:
2x+4y=8
Putting value of x: x=7-3y
2(7-3y)+4y=8
3. Solve for y:
2(7-3y)+4y=8
Multiply 2 with terms inside the bracket
14-6y+4y=8
-2y=8-14
-2y=-6
y=-6/-2
y=3
So, we get value of y: y=3
4. Substitute y into either original equation:
Putting value of y: y=3 in equation 1
x+3y=7
x+3(3)=7
x+9=7
x=7-9
x=-2
So, we get value of x: x=-2
5. Write the solution as an ordered pair:
After solving the equation we get:
x = -2 and y = 3
The ordered pair is: (-2,3)
Answer:
-2,3
Step-by-step explanation:
Isolate x in the first equation:
Substitute the value for x into the second equation:
Solve for y
Please give me brainiest
what is the difference between bullying and conflict
Answers
Answer:
Bullying is making fun of or hurting someone and a conflict is a disagreement that is serious
Step-by-step explanation:
Multiply the polynomials: (x – 4)(x2 + 2x – 5)
Question 16 options:
A)
x3 + 6x2+ 3x – 20
B)
x3 + 6x2 + 3x + 20
C)
x3 – 2x2 – 13x – 20
D)
x3 – 2x2 – 13x + 20
Question 17 (5 points)
Subtract: (4x3 + 9xy + 8y) – (3x3 + 5xy – 8y)
Question 17 options:
A)
7x3 + 14xy
B)
x3 + 4xy
C)
7x3 + 14xy + 16y
D)
x3 + 4xy + 16y
Question 18 (5 points)
What are the real solutions to the equation 5x2 + 29x + 20 = 0?
Question 18 options:
A)
x = –5, x = 4∕5
B)
x = –4∕5, x = 5
C)
x = 4∕5, x = 5
Answers
Step-by-step explanation:
Hey there!
Given;
[tex] = (x - 4)( {x}^{2} + 2x - 5)[/tex]
[tex] = x( {x}^{2} + 2x - 5) - 4( {x}^{2} + 2x - 5)[/tex]
[tex] = {x}^{3} + 2 {x}^{2} - 5x - 4 {x}^{2} - 8x + 20[/tex]
[tex] = {x}^{3} - 2 {x}^{2} - 13x + 20[/tex]
Therefore, Option D is correct answer.
Q.no.
Given;
[tex] =( 4 {x}^{3} + 9xy + 8y) - (3 {x}^{3} + 5xy - 8y)[/tex]
[tex] = 4 {x}^{3} + 9xy + 8y - 3 {x}^{3} - 5xy + 8y[/tex]
[tex] = {x}^{3} + 4xy + 16y[/tex]
Therefore, answer is Option D.
Qno.
Given;
[tex]5 {x}^{2} + 29x + 20 = 0[/tex]
[tex]5 {x}^{2} + (25 + 4)x + 20 = 0[/tex]
[tex]5 {x}^{2} + 25x + 4x + 20 = 0[/tex]
[tex]5x(x + 5) + 4(x + 5) = 0[/tex]
(5x + 4)(x + 5) =0
Either (5x+4)= 0,
5x = -4
X = -4/5
Or, X+5 = 0
X = -5.
Therefore, X= -5, -4/5.
Hope it helps....
URGENT!!!! Han earns $48 for babysitting 3 hours. How much money does Han make per hour? Explain
your reasoning. :)
Answers
Answer:
Step-by-step explanation:
If he earns $48 dollars in 3 hours, you need to divide 48 by 3 to work out how much he makes per hour. and 48/3 = 16. So he makes $16 dollars an hour.
Answer:
16$
Step-by-step explanation:
You would have to divide the number of hours he worked for three days by the days he worked in order to find out what he would earn per hour.
This means the answer is 16 dollars per hour.
Question 1
Find the missing angle to the nearest degree.
36
14
degrees
Answers
Answer:
23°
Step-by-step explanation:
Let the missing angle be x
Reference angle = missing angle = x
Opposite side to x = 14
Hypotenuse = 36
Applying trigonometric ratio, we have:
[tex] sin(x) = \frac{14}{36} [/tex]
[tex] x = sin^{-1}(\frac{14}{36}) [/tex]
x = 23° (to the nearest degree)
1. A store sold 700 motorcycles last year. This year the store sold 820 motorcycles. What is the percent change in the number of motorcycles sold from las year to this year?
Answers
Answer:
120 or 120%, hope this helps!
Step-by-step explanation:
The meaning of an inequality depends on the __________________of the inequality sign.
Answers
Answer:
Denpeds on the left hand side of nagetive of the inequality sign
What’s 65+56+4+-4
;)
Answers
Answer:
119
Step-by-step explanation:
simplify pls
8(4x-12)
Answers
Answer:
32x-96
Step-by-step explanation:
8 · 4x = 32x
8 · 12 = 96
use screen shot i will mark brainliest :)
Answers
Answer: there is no screenshot :(
Step-by-step explanation:
It is Monday.
/: There is chicken for lunch.
/
Write the inverse in if-then form.
Answers
The proper way to write this sentence would be:
If it is Monday then there is chicken for lunch.
May I have brainliest please? :)
Hellllllllpppppp please I will mark Brainly
Answers
Answer:
the slope is 9/2
Step-by-step explanation:
i did the test
Can someone help me with this question?
36x245
Answers
Which expression is NOT equivalent to 24 + 6x?
A. 2(3x + 12)
B. 28 + 4x – 4 + 2x
C. 5x + 7 + x + 17
D. 3(8 + 3x)
Answers
Answer:
D
the answer is D because when you multiply 3(8 + 3x), it will give you 24+9x
3(8 + 3x) is not equivalent to 24 + 6x.
Option D expression is not equivalent to 24 + 6x.
What is an expression?An expression or algebraic expression is any mathematical statement which consists of numbers, variables and an arithmetic operation between them.
According to the question
Expression is NOT equivalent to 24 + 6x
A . 2(3x + 12)
= 2(3x) + 2(12)
= 6x + 24
= 24 + 6x
B. 28 + 4x – 4 + 2x
= (28 - 4) + (4x + 2x)
= 24 + 6x
C. 5x + 7 + x + 17
= (5x + x) + (7 + 17)
= 6x + 24
= 24 + 6x
D. 3(8 + 3x)
= 3(8x) + 3(3x)
= 24 + 9x
Hence, Option D is not equivalent to 24 + 6x.
3(8 + 3x) is not equivalent to 24 + 6x.
Find out more information about expression here
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4.02>4.1 TRUE OR FALSE
Answers
Answer: true
Step-by-step explanation: cuz
Answer:
False
Step-by-step explanation:
Find all solutions of sinx-sqrt1-3sin^2x=0
Answers
Answer:
what
Step-by-step explanation:
that doesnt make any sense
what is the degree of x^6+4x-3
Answers
Answer:
1.2599
Step-by-step explanation:
NEED HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
R= radius. Radius is half of the diameter, and d= 20. This means that radius = 10. Now we have a full formula to work with.2*Pi*10.
Substitute 3.14 for pi.
3.14 * 10 = 31.4.
31.4*2 = 62.8.
62.8 rounded equals 63.
C = 63.
helpppplzzzzzzzzz:)))))))))
Answers
Answer:
The answer is 14 minutes
Step-by-step explanation:
Subtract your total and divide what you have left. $20 - $18.04 = $1.96
You spent a total of $1.96
Divide that by 0.14 how much per minute and you get 14 minutes.
