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3 years ago

Simplify (4−b)(5b2+5b−4)

Mathematics

1 answer:

astraxan [27]3 years ago

4 0

Answer:15b^2-5b^3+24b-16

Step-by-step explanation:

(4-b)(5b^2+5b-4)

Open the brackets

20b^2+20b-16-5b^3-5b^2+4b

Collect like terms

20b^2-5b^2-5b^3+20b+4b-16

15b^2-5b^3+24b-16

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2/4 + 3/9 in Modeling Fractions?

horrorfan [7]

Answer: 13/12

Step-by-step explanation:

Reduce the fraction 3/9 to the lowest terms by extracting and canceling out 3.

The least common multiple of 4 and 3 is 12. Convert 3/4 and 1/3 to fractions with denominator 12.

Since 9/12 and 4/12 have the same denominator, add them by adding their numerators.

Add 9 and 4 to get 13.

5 0

3 years ago

Graph h(t)=-2(t+5)^2+3, find h(-8)

NARA [144]

Answer:

h(-8)=-15

Step-by-step explanation:

Substitute t=-8

h(-8) =-2(-8+5)^2+3

=-2(-3)^2+3

=-2(9)+3

=-18+3

=-15

8 0

3 years ago

Read 2 more answers

What are the steps to solve the following quadratic equation: 9x +1= 5

ra1l [238]

4/5

Step-by-step explanation:

9x+1=5

or, 9x=5-1

or, 9x=4

therefore x=4/5

6 0

3 years ago

Read 2 more answers

Which equation represents a linear function rule for the following set of ordered pairs?

d1i1m1o1n [39]

The equation that represents the linear function for the set of ordered pairs is: A. y = -3x + 2.

<h3>What is the Equation of a Linear Function?</h3>

Equation of a linear function, where m is the slope and b is the y-intercept, is expressed as y = mx + b.

Find the slope (m):

Slope (m) = change in y/change in x = (-7 -(-4)) / (3 - 2)

Slope (m) = -3/1 = -3

Find b by substituting m = -3 and (1, -1) = (x, y) into y = mx + b:

-1 = -3(1) + b

-1 = -3 + b

-1 + 3 = b

2 = b

b = 2

Substitute m = -3 and b = 2 into y = mx + b

y = -3(x) + 2

y = -3x + 2

Therefore, the equation that represents the linear function for the set of ordered pairs is: A. y = -3x + 2.

Learn more about equation of linear function on:

brainly.com/question/15602982

3 0

2 years ago

The base of an isosceles triangle is one and a half times the length of the other two sides.A smaller triangle has a perimeter t

Anna11 [10]

Answer:

Perimeter of the smaller triangle = 1.75x

Step-by-step explanation:

Let the two equal sides of an isosceles triangle = x

Therefore, length of the base = $(1\frac{1}{2})x$

Perimeter of this isosceles triangle = x + x + $(1\frac{1}{2})x$

= 2x + $(1+\frac{1}{2})x$

= 2x + x + $\frac{x}{2}$

= $\frac{5x}{2}$

Since, smaller triangle has a perimeter that is half the perimeter of the larger triangle,

Length of each corresponding side of smaller triangle will be half of the larger triangle.

Length of sides of the smaller triangle = $\frac{x}{2},\frac{x}{2},(1\frac{1}{2})\frac{x}{2}$

Perimeter of the smaller triangle = $\frac{x}{2}+\frac{x}{2}+(1\frac{1}{2})\frac{x}{2}$

= x + $\frac{x}{2}+\frac{x}{4}$

= $\frac{3}{2}x+\frac{x}{4}$

= $\frac{6}{4}x+\frac{x}{4}$

= $\frac{7}{4}x$

= 1.75x

Therefore, expression that represents the perimeter of the smaller triangle is (1.75x)

4 0

3 years ago