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4 years ago

Given the expression, -8x2 + 76x - 168, what is the first step you should perform in factoring?

Mathematics

1 answer:

earnstyle [38]4 years ago

4 0

Answer:

Step-by-step explanation:

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All of the following are equivalent except 7x2, 4x+3x, (4+3)x, 7x

Virty [35]

Answer:

7x^2 (the first choice)

Step-by-step explanation:

7x^2

4x+3x = 7x

(4+3)x = 7x

All are 7x except for the first one which is 7x^2

5 0

3 years ago

Read 2 more answers

Convert the Cartesian equation (x 2 + y 2)2 = 4(x 2 - y 2) to a polar equation.

SashulF [63]

<u>ANSWER</u>

${r}^{2} = 4 \cos2\theta$

<u>EXPLANATION</u>

The Cartesian equation is

${( {x}^{2} + {y}^{2} )}^{2} = 4( {x}^{2} - {y}^{2} )$

We substitute

$x = r \cos( \theta)$

$y = r \sin( \theta)$

and

${x}^{2} + {y}^{2} = {r}^{2}$

This implies that

${( {r}^{2} )}^{2} = 4(( { r \cos\theta) }^{2} - {(r \sin\theta) }^{2} )$

Let us evaluate the exponents to get:

${r}^{4} = 4({ {r}^{2} \cos^{2}\theta } - {r}^{2} \sin^{2}\theta)$

Factor the RHS to get:

${r}^{4} = 4{r}^{2} ({ \cos^{2}\theta } - \sin^{2}\theta)$

Divide through by r²

${r}^{2} = 4 ({ \cos^{2}\theta } - \sin^{2}\theta)$

Apply the double angle identity

$\cos^{2}\theta -\sin^{2}\theta= \cos(2 \theta)$

The polar equation then becomes:

${r}^{2} = 4 \cos2\theta$

7 0

3 years ago

2. Write a recursive formula for the sequence 5, 18, 31, 44, 57, ... Then find the next term.

ludmilkaskok [199]

Answer: a6=70

Step-by-step explanation:

we know that

In the Arithmetic Sequence the formula is:

an= a1 + d(n−1)

where

a1 is the first term

d is the common difference

n is the number of terms

in this problem

a1=5

a2=18

a3=31

a4=44

a5=57

d=a2-a1 or a3-a2 or a4-a3 or a5-a4

d=57-44----> 13

find a6

a6= a1 + d(n−1)

n=6

d=13

a1=5

a6=5+13*(6-1)----> a6=5+13*5----> a6=70

8 0

3 years ago

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How do you write this number using digits?

Darina [25.2K]

The answer to this is 36,145,097

4 0

3 years ago

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Unlike fractions 5/6-1/2=

PolarNik [594]

The answer is one third or 1/3 multiply diagonal both ways and then multiply denominators

5 0

3 years ago