MATHEMATICS HIGH SCHOOL

Write in standard form (x^2 + 3x -1) + (7x-4)
Write in standard form (x^2 + 3x -1) + (7x-4) - 1

Answers

Answer 1
Answer: =x² +3x -1 + 7x -4
= x² +10x -4
x² +10x=4

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What is (-m)^-3n, if m= 2 and n= -24?a. 3b. -3c. 4. d. -4

Answers

(-m)^(-3)n\n\nm=2;\ n=-24\n\nsubtitute\n\n(-2)^(-3)\cdot(-24)=(1)/((-2)^3)\cdot(-24)=(1)/(-8)\cdot(-24)=(-24)/(-8)=3

Answer: a. 3

Solve each equation by finding all roots x^4-16=0

Answers

{ x }^( 4 )-16=0\n \n { x }^( 4 )=16\n \n x=\pm \sqrt [ 4 ]{ 16 } \n \n \therefore \quad x=\pm 2
add both sides by 16
so you'll have x^4 =16
take the 4th root of both sides and you'll get x=  2

What number should be placed in the box to help complete the division calculation?

Answers

Answer:

160

Step-by-step explanation:

226

-160

____

66

-64 (4 in the quotient)

____

2

Why is 6/6 equivalent to 6

Answers

Hey There!

(6)/(6) does not equal to six, because when you see fractions with the same numerator and denominator you divide, so 6/6 equals one. Therefore, (6)/(6) does not equal to one.

Have A Brainly Day :)
Hey! 6/6 does not equal to 6 because this sign here "/" means division. When you divide a number by itself it equals to 1. So 6/6 is equal to 1!

Factor completely. b2 + 12b + 32
Factor completely: a2 - a - 20

Answers

Factoring the first polynomial expression completely will give us (b+4)(b+8). Try to check it for yourself by multiplying the factors and you will get b2+12b+32. For the second polynomial expression, the factors are (a-5)(a+4). To check, just do the FOIL method and you will get a2-a-20.

Answer:

b² + 12b + 32 = (b + 8)(b + 4)

a² - a - 20 = (a - 5)(a + 4)

Step-by-step explanation:

b² + 12b + 32

To factor, let's find two numbers that multiply to 32, and add to 12.

I find the two numbers as 4 and 8.

We can expand 12b as 4b + 8b, and factor the pairs.

Factor:

  • b² + 12b + 32
  • b² + 4b + 8b + 32
  • (b² + 4b) + (8b + 32)
  • b(b + 4) + 8(b + 4)
  • (b + 8)(b + 4)

The factored form is (b + 8)(b + 4)

a² - a - 20

Using the same process, find two numbers that multiply to -20 and add to -1

The numbers are 4 and -5

Factor:

  • a² - a - 20
  • a² + 4a - 5a - 20
  • (a² + 4a) + (-5a - 20)
  • a(a + 4) -5(a + 4)
  • (a - 5)(a + 4)

The factored form is (a - 5)(a + 4)

the time t required to drive a certain distance varies inversely with the speed, r. if it takes 4 hours to drive the distance at 40 miles per hour, how long will it take to drive the same distance at 55 miles per hour? a. about 2.91 hours b. about 160.00 c. 22.00 hours d. about 5.50 hours

Answers

Hello,

Answer A

d :the distance in miles
t: the time in hours
v: the speed in miles/hours (vistesse)


d=v*t
==>d=40*4=160(mi)

d=55*x=160==>x=160/55=2.909090... (mi/(mi/h)=h)≈2.91(hours)

The time it would take to drive the same distance at 55 miles per hour is 2.91 hours.

What is the time needed to drive the same distance?

If time varies inversely with speed, as time increases, speed decreases. This means that the faster one travels, the lower the time it would take to reach the destination.

The equation that can be used to represent inverse relation is:

t = k / r

Where k is the constant of proportionality

4 = k/40

k = 160

160 / 55 = 2.91 hours

To learn more about inverse proportion, please check: brainly.com/question/25748643

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