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2 years ago

The first three steps in writing f(x) = 40x + 5x2 in vertex form are shown. What is the function written in vertex form?

Mathematics

1 answer:

pychu [463]2 years ago

4 0

F(x) = 5(x + 4) – 80
f(x) = 5(x + 8) – 80
f(x) = 5(x + 4)2 – 80
f(x) = 5(x + 8)2 – 80

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Multiply. <br> 8 1/2 -2 2/3

MrRissso [65]

Answer: $-\frac{68}{3}$ or $-22\ 2/3$

Step-by-step explanation:

To solve this problem you must:

- Convert the mixed numbers to fractions, as following:

$8\ 1/2=\frac{((8*2)+1)}{2}=\frac{17}{2}$

$2\ 2/3=\frac{((3(2)+2)}{3}=\frac{8}{3}$

- Multiply both fractions. Mutilply the numerators and the denominators:

$(\frac{17}{2})(-\frac{8}{3})=-\frac{136}{6}$

- Simplify. Therefore, you obtain that the answer is:

$-\frac{68}{3}$ or $-22\ 2/3$

5 0

2 years ago

Read 2 more answers

7. Quadrilateral MNPQ has vertices M(4,0), N(0,6), P(-4,0) and Q(0, -6). Determine whether

kirill [66]

Answer:

SQUARE

Step-by-step explanation:

If Quadrilateral MNPQ has vertices M(4,0), N(0,6), P(-4,0) and Q(0, -6).

Find the following MN, NP, PQ and MQ

Using the formula for calculating the distance between two points

MN = √(6-0)²+(0-4)²

MN = √6²+4²

MN = √36+16

MN = √52

MN = 2√13

NP = √(0-6)²+(-4-0)²

NP = √6²+4²

NP = √36+16

NP = √52

NP = 2√13

PQ = √(-6-0)²+(0-(-4))²

PQ = √6²+4²

PQ = √36+16

PQ = √52

PQ = 2√13

MQ = √(-6-0)²+(0-4)²

MQ = √6²+4²

MQ = √36+16

MQ= √52

MQ = 2√13

Since the length of all the sides are equal, hence the shape is a SQUARE

4 0

2 years ago

Can someone please answer it correctly if it’s correct I will mark you brainliest

dem82 [27]

Answer:

$-\frac{5}{2}, -2, 1.7$

Step-by-step explanation:

1. Make fraction to decimal

$-\frac{5}{2} = -2.5$

2. Order from least to greatest.

1.7 > -2 > -2.5

Least to greatest : $-\frac{5}{2}, -2, 1.7$

4 0

2 years ago

Hello, Earthlings! Martian here! Need help with math, I'm new to this subject! You'll get 50 (B) coins for answering!

alekssr [168]

Answer:

answer is 10000

Step-by-step explanation:

THANK U AGAIN <33ewiudhuids

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2 years ago

Please answer correctly! I will mark you as Brainliest!

alukav5142 [94]

Answer:

1024pi/3

Step-by-step explanation:

to find the volume of a sphere you use the equation 4/3*pi*r^3

4/3*pi*8^3

4/3*pi*512

2048/3 pi

This is the volume of the whole sphere but we only need half so we can just divide by 2.

(2048/3 pi)/2

1024/3 pi

6 0

3 years ago