[tex]\begin{cases} x = -4\implies &x+4=0\\ x=-5\implies &x+5=0\\ x = 0\implies &x=0\\ x=\frac{1}{3}\implies &x -\frac{1}{3}=0\\ &3\left( x -\frac{1}{3} \right)=3(0)\\ &3x-1=0 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ (x+4)(x+5)(x)(3x-1)=\stackrel{\textit{original equation}}{0} \\\\\\ (x^2+9x+20)(x)(3x-1)=y\implies (x^3+9x^2+20x)(3x-1)=y \\\\\\ (3x^4+27x^3+60x^2)+(-x^3-9x^2-20x)=y[/tex]
[tex]3x^4+27x^3+60x^2-x^3-9x^2-20x=y \\\\[-0.35em] ~\dotfill\\\\ ~\hfill 3x^4+26x^3+51x^2-20x=y~\hfill[/tex]
In a math class, the teacher asked the students to find the approximate value of one of the x-coordinates of a point of intersection of two functions: f(x) = 2x2 − 3x + 4 g(x) = 5x − 1 Her students gave her different answers. Which answer is the most accurate?
A.
0.8
B.
0.9
C.
1.9
D.
1.1
Answer:
A. 0.8Step-by-step explanation:
An easy way is to substitute values into both equations and compare:
A. x = 0.8
f(x) = 2(0.8)² - 3(0.8) + 4 = 2.88g(x) = 5(0.8) - 1 = 3B. x = 0.9
f(x) = 2(0.9)² - 3(0.9) + 4 = 2.92g(x) = 5(0.9) - 1 = 3.5C. x = 1.9
f(x) = 2(1.9)² - 3(1.9) + 4 = 5.52g(x) = 5(1.9) - 1 = 8.5D. x = 1.1
f(x) = 2(1.1)² - 3(1.1) + 4 = 3.12g(x) = 5(1.1) - 1 = 4.5As we see the most accurate one is A
Let's graph both function(Attached)
Let's round 0.775
[tex]\\ \sf\longmapsto 0.775[/tex]
[tex]\\ \sf\longmapsto 0.77[/tex]
[tex]\\ \sf\longmapsto 0.8[/tex]
Option A is correct
please help..........
THANKS!
ABCD is a parallelogram.the length of AB is 15 what is the the length of CD
rhombus opposite sides are equal.
So, CD = 15
the table shows the pricing for four different types of gasoline which type cost the least per gallon a $20.20 for 10 galb $26.04 for 12 gal c $28.14 for 14 gal d $30.45 for 15 gal
Answer:
A is the cheapest deal.
Step-by-step explanation:
find unit rate; cost / quantity
20.20 / 10 = $2.02 per gallon
26.04 / 12 = $2.17 per gallon
28.24 / 24 = $2.01 per gallon
30.45 / 25 = $2.03 per gallon
Tobias's music store bought a piano at the wholesale price of $550 to buy a smart up the price 35% of the amount of mark up
Answer: 742.50$
Step-by-step explanation:
35% of 550 is 192.50$ 192.50$ + 550.00$= 742.50$
Simplify as far as possible without using a calculator.
2/5+1/2=====================
Answer:
9/10
Step-by-step explanation:
To add fractions, find the LCD and then combine.
Exact Form:
9/10
Decimal Form:
0.9
Kim Barney pays a $290.00 annual premium for an insurance plan with a $500 deductible. The company pays 80% of the remaining expense. If Kim had $2,500.00 in medical expenses, calculate the following.
The amount that Kim Barney spends is $342 for medical expenses.
What is buying cost?Buying cost is the cost at which someone buys or is willing to buy shares, bonds.( including the tax)
here, we have,
Given that,
Kim Barney pays a $290.00 yearly premium for a $500.00 deductible insurance plan. 80 percent of the remaining cost is covered by the business. If Kim has medical costs of $2,500.00
To find : The amount that Kim barney spends for the medical expenses.
If the business covers 80% of the remaining balance ($1710), they will be responsible for paying $1368 of it.
10% of 1710 is 171
171x8=1368
The insurance provider covers the $1368.
Kim Barney spends $342.
Consequently, Kim Barney spends the following amount on medical costs $342.
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Find each function value.
f(6) if f(x) = 4x?
f(8) if f(x) = x + 11
Complete the equation for the line shown in the graph. (-1,-2) (0,1) (1,4)
What is the common difference in the arithmetic sequence 13, 26, 39, 52, 65?
They all have a difference of 13.
So each time 13 is added to get the next number.
Apply the distributive property to factor out the greatest common factor.
6+30=6+30
6 + 30
The greatest common factor is 6, so take it out. We get...
6 (1 + 5)
Let's verify it.
6 (1 + 5) = 6 + 30
6(6) = 6 + 30
36 = 36
LHS = RHS, Hence proved.
______
RainbowSalt2222 ☔
A local hamburger shop sold a combined total of 813 hamburgers and cheeseburgers on Saturday. There were 63 more cheeseburger sold than burgers. How many hamburgers were sold on Saturday?
9514 1404 393
Answer:
375 hamburgers
Step-by-step explanation:
Let h represent the number of hamburgers. Then h+63 is the number of cheeseburgers, and the combined total is ...
h +(h +63) = 813
2h = 813 -63 = 750
h = 750/2 = 375
375 hamburgers were sold on Saturday.
_____
Additional comment
In a "sum and difference" problem like this, the smaller number is half the difference between the sum and the difference. h = (813 -63)/2 = 375. This generic solution applies to all "sum and difference" problems.
What is the measure of angle 1
A copy machine makes copies 32 per minute. How long does it take to make 168 copies
Answer:
5.25m
Step-by-step explanation:
32 papers will make in 1 minute
(168 copies/32copies)×1min = 5.25m
Calcular la masa que tiene un cuerpo que se le aplica una fuerza que empuja al lado derecho de 230 N y otra fuerza que empuja al lado izquierdo de - 150N. Considerar que la aceleración que adquiere es de 2 m/s2.
Answer:
Calculate the mass of a body that is applied with a force that pushes the right side of 230 N and another force that pushes the left side of - 150N. Consider that the acceleration it acquires is 2 m / s2.
Step-by-step explanation:
230 e dos
A groundhog starts out in its burrow 6.2 feet below the surface of the ground. It digs straight up at a rate of 0.8 feet per
How long does it take for the groundhog to reach a depth of
-2.6 feet?
Answer:
4.5
Step-by-step explanation:
I took the test and got it right
Tt takes 20.15 minutes for the groundhog to reach a depth of -2.6 feet.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given that, a groundhog starts out in its burrow 6.2 feet below the surface of the ground.
It digs straight up at a rate of 0.8 feet per minute.
Here, rate =6.2/0.8
= 7.75 feet per minute
Now, the time is 2.6×7.75
= 20.15 minutes
Therefore, it takes 20.15 minutes for the groundhog to reach a depth of
-2.6 feet.
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"Your question is incomplete, probably the complete question/missing part is:"
A groundhog starts out in its burrow 6.2 feet below the surface of the ground. It digs straight up at a rate of 0.8 feet per minute. How long does it take for the groundhog to reach a depth of −2.6 feet?
Jessica's health insurance premium is $3964 annually. If her employer pays 85% and she is paid monthly, how much is deducted from each monthly check? O $22.88 O $49.55 O $330.33 O $594.60
Answer:
594.60
Step-by-step explanation:
basically you turn the percent into a decimal, so 0.85 times 3954. then you subtract 3964.00 and 3369.40 to get the answer <3
What is the place value of 8 in 4.08?
20+ Points
Answer: The place value of 8 is in the hundredths. This would be called four and eight hundredths.
Would appreciate brainly <3
Hello there!
The value of 8 is:
Hundredths
The second number after the decimal point is in the hundredths place.
Hope it helps!
Please mark brainliest!
~Just a determined gal
[tex]MysteriousNature[/tex] here to help
if something traveled 36 feet in 22 frames in a 60 fps video, how fast would that be in mph?
i calculated that the answer will be roughly 24.9 miles per hour.
Please help me, thanks
Answer:
I dont know
Step-by-step explanation:
Can you type in the question please and ty
show work plz!!!!!!!!!!!!!
Here, we have been asked to find the order of rotational symmetry of a symmetry of a regular pentagon. First let us learn about rotational symmetry and some basic terms related to it.
1. Rotational Symmetry: -
It is the property a shape has when it looks the same after some rotation by a partial turn. For example: - an equilateral triangle will look the same after a partial rotation of 120∘
2. Centre of rotation: -
The fixed point around which the rotation occurs is called the centre of rotation. For example: - the centre of rotation of a fan is the centre of the fan from which its blade originates.
3. Angle of Rotational Symmetry: -
The angle of rotational symmetry is the smallest angle for which the figure can be rotated to coincide with itself. For example: - the angle of rotation of an equilateral triangle is 120∘
4. Order of Rotational Symmetry: -
The order of rotational symmetry of a shape is the number of times it can be rotated around a full circle and still look the same. For example: - an equilateral triangle can be rotated 3 times around a full circle, each time at the angle of 120∘
, so its order of rotation will be 3.
In general, a regular polygon having n – sides have ‘n’ lines of symmetry and their order of rotational symmetry is ‘n’.
Now, let us come to the question. We have to find the order of rotational symmetry of a regular pentagon.
We know that a regular pentagon has 5 sides.
Hence, it will have 5 lines of symmetry and its order of rotational symmetry will be 5.list all the prime numbers between 90 and 100
Im pretty sure the only prime number in between 90 and 100 is 97
Find the value of the expression 4a + 7 when a= 1/2.
plssss help quiiick
Answer:
The answer is 9
Step-by-step explanation:
1/2 of 4 is 2, so you plug that in
2+7=9
Someone who is unable to use a credit card after repeated failures to pay has
had their credit
A. garnished
B. defaulted
C. repossessed
D. suspended
SUBMIT
D. suspended
explanation:
Someone who is unable to use a credit card after repeated failures to pay has had their credit suspended.
Option D is the correct answer.
What is a suspended credit card?Credit card suspension is a temporary measure, and the credit card can usually be reinstated once the account is brought up up-to-date.
We have,
When a person repeatedly fails to make payments on their credit card, their credit card company may suspend their credit card.
This means that the person will not be able to use the credit card until they bring their account up-to-date and pay any outstanding balance or fees.
However, repeated failures to pay can have a negative impact on a person's credit score, which is a measure of their creditworthiness.
If the account remains delinquent, it may eventually lead to default, which is when the lender takes legal action to recover the unpaid debt.
Thus,
Someone who is unable to use a credit card after repeated failures to pay has had their credit suspended.
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The sum of 4 consecutive integers is (-28).
Write an equation with these integers equaling (-28).
Answer:
Step-by-step explanation:
Let the lowest integer be x, then:
x + x + 1 + x + 2 + x + 3 = -28.
Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
y=23(0.292)^x
what is the % increase
Answer:
Decay
since 0.292 is less than 1
% rate of decrease
1 - 0.292 = 0.708
70.8%
please help i seriously don’t know this at all lol
Answer:
156m^2
Step-by-step explanation:
label the shapes A and B) triangle=shape b and rectangle=shape a
shape a)10x12=120m^2
shape b)(12x6)/2=36m^2
add the values of shape a and b together to get the area of the shape)120+36=156m^2
Tell whether the fractions are equivalent. Write = or [tex]\neq[/tex]
3/4 ____ 8/12
A small publishing company is releasing a new book. The production costs will include a one-time fixed cost for editing and an additional cost for each book
printed. The total production cost C (in dollars) is given by the function C-550 +15.95N, where N is the number of books,
The total revenue earned (in dollars) from selling the books is given by the function R=31.90N.
Let P be the profit made (in dollars). Write an equation relating P to N. Simplify your answer as much as possible.
Please answer me ASAP I need an answer.
Answer:
P = 15.95N - 550Step-by-step explanation:
The profit is the difference between the revenue and the total cost:
P = R - CSubstitute values:
P = 31.90N - (550 + 15.95N)P = 31.90N - 15.95N - 550P = 15.95N - 550The difference between cost and revenue is profit
P=R-CP=31.90N-(15.95N+550)P=31.90N-15.95N-550P=15.95N-550