MATHEMATICS MIDDLE SCHOOL

The function y=-4(x - 3)2 + 8 shows the daily profit (in hundreds of dollars)of a taco food truck, where x is the price of a taco (in dollars). Find and
interpret the zeros of this function,
Select two answers: one for the zeros and one for the interpretation.
O
A. Interpretation: The zeros are where the daily profit is $0.00.
O B. Zeros: x = 3 - V3 = 1.58 and x = 3 + v = 4.41
O
c. Interpretation: The zeros are where the price of a taco is $0.00.
O D. Zeros: x = 3 and x = -3

Answers

Answer 1

Answer:

Answer:

Interpretation: The zeros are where the daily profit is $0.00.

Zeroes are x = 1.58 and x = 4.41.

Step-by-step explanation:

Given function,

$y=-4(x-3)^2+8$

For finding the zeros,

y = 0,

$-4(x-3)^2+8=0$

$-4(x-3)^2=-8$

$(x-3)^2=2$

$x-3=\pm √(2)$

$\implies x = 3\pm √(2)$

$\implies x\approx 4.41\text{ or }x=1.58$

Hence, the zeroes of the function are x = 1.58 and x = 4.41,

∵ x represents the price of a taco and y represents daily profit,

Therefore, the zeroes are where the daily profit is $ 0.00.

Answer 2

Answer:

Answer:

Step-by-step explanation:

To find the zeros, set y=-4(x - 3)2 + 8 = 0. Then -4(x - 3)^2 = -8, and:

4(x - 3)^2 = 8. Dividing both sides by 4 yields (x - 3)^2 = 2.

Taking the square root of both sides yields x - 3 = ±2, so that

x = 3 ±2, or x = 5 and x = 1. These are the zeros. The correct interpretatioon is A: where the daily profit is $0.

Related Questions

Which could be the dimensions of a rectangular prism whose surface area is greater than 140 square feet? Check all that apply.6 feet by 2 feet by 3 feet 6 feet by 5 feet by 4 feet 7 feet by 6 feet by 4 feet 8 feet by 4 feet by 3 feet
Sergio has p paintings in his art collection. He and other local painting collectors agreed to donate a total of 48 paintings to the local museum. Each of the 12 collectors will donate the same number of paintings. How many paintings will Sergio have in his art collection after his donation? Write your answer as an expression.
Simplify write equivalent expressions. 4-2+(3b+6)
5/6 x 6/7 answer please
Members of a band are required to practice 25 minutes every night about how many hours as a band member practice weekly

What is 0.03703703703 as a fraction

Answers

$n=0.\dot { 0 } 3\dot { 7 } \n \n 1000n=37.\dot { 0 } 3\dot { 7 } \n \n 1000n-n=37$

$\n \n 999n=37\n \n n=\frac { 37 }{ 999 } \n \n n=\frac { 37 }{ 37 } \cdot \frac { 1 }{ 27 } \n \n \therefore \quad n=\frac { 1 }{ 27 }$

$x=0.\overline{037}\n1000x=37.\overline{037}\n1000x-x=37.\overline{037}-0.\overline{037}\n999x=37\nx=(37)/(999)=(1)/(27)$

In the diagram below, and are tangent to O. What is the measure of E?

Answers

Answer:

A. 32 degrees

Step-by-step explanation:

Here we have to use the rule.

m∠E = 1/2 (major arc - minor arc)

m∠E = 1/2 (212 - 148)

m∠E = 1/2 (64)

m∠E = 32 degrees

Answer: A. 32 degrees

Thank you

Can someone help write this equation

Answers

Answer:

d = 8t

Step-by-step explanation:

d = r*t where d is the distance, r is the rate and t is the time

We can travel at 8 miles an hour

d = 8t

Answer:

d=8t

Step-by-step explanation:

The equation 7^2=a^3 shows the relationship between a planet’s orbital period, T, and the planet’s mean distance from the sun, A, in astronomical units, AU. If planet Y is k times the mean distance from the sun as planet X, by what factor is the orbital period increased?

Answers

Answer:

The period of Y increases by a factor of $k^ {3/2}$ with respect to the period of X

Step-by-step explanation:

The equation $T ^ 2 = a ^ 3$ shows the relationship between the orbital period of a planet, T, and the average distance from the planet to the sun, A, in astronomical units, AU. If planet Y is k times the average distance from the sun as planet X, at what factor does the orbital period increase?

For the planet Y:

$T_y ^ 2 = a_y ^ 3$

For planet X:

$T_x ^ 2 = a_x ^ 3$

To know the factor of aumeto we compared $T_x$ with $T_y$

We know that the distance "a" from planet Y is k times larger than the distance from planet X to the sun. So:

$a_y ^ 3 = (a_xk) ^ 3$

$(T_y ^ 2)/(T_x ^ 2)=(a_y ^ 3)/(a_x^ 3)\n\n(T_y ^ 2)/(T_x ^ 2)=((a_xk)^3)/(a_x ^ 3)\n\n(T_y^ 2)/(T_x^ 2)=\frac{k ^ {3}a_(x)^ 3}{a_(x)^ 3}\n\n(T_(y)^ 2)/(T_(x)^ 2)=k ^ 3\n\nT_(y)^ 2 = T_(x)^(2)k^(3)\n\nT_(y) =k^{(3)/(2)}T_x$

Finally the period of Y increases by a factor of $k^ {3/2}$ with respect to the period of X

Derek applies grass seed to 2/5 acre in 3/4 hour. How many acres can Derek cover per hour?

Answers

The area that can be covered with grass seed by Derek is 8/15 acres.

Time spent while applying grass seed to 2/5 acre = 3/4 hour

Or, 3/4 hour is needed to apply grass seed to 2/5 acre.

What is a 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.

3/4 hour ≡ 2/5 acre

1-hour ≡ (2/5)/(3/4) acre

1-hour ≡ $(2)/(5) *(4)/(3)$

1-hour ≡ $(8)/(15)$ acre

So, Derek can cover $(8)/(15)$ acre per hour.

Hence, the area that can be covered with grass seed by Derek is 8/15 acres.

To get more about the unitary method visit:

brainly.com/question/24587372

Number of acres / Time taken

(2/5) acre / (3/4) hour

= 2/5 × 4/3 = 8/15 acre / hour

Persevere with Problems Decide whether the following statement isalways, sometimes, or never true. Explain your reasoning.
Any decimal that ends with a digit in the thousandths place can be
written as a fraction with a denominator that is divisible by both 2 and 5.

Answers

Answer:

Step-by-step explanation: true

Other Questions

What figure shows a line of reflectional symmetry for the letter T ??? Help plz

there are 3 cans that store 9 tennis balls consider the number of balls per can. find the constant of proportionality for this .write an equation to represent the relationship

John is a quarterback. This year, he completed 350 passes, which is 70% percent of all the passes he's attempted this year. How many passes has John attempted this year?

What is the approximate area of the shaded region?