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Tamiku [17]
2 years ago
14

The side lengths of a rectangle are described as (2x−3) inches and (5x+7) inches.

Mathematics
1 answer:
anastassius [24]2 years ago
7 0

Answer:

  (a)  10x^2−x−21

Step-by-step explanation:

The area of a rectangle is given by the formula ...

  A = LW . . . . . where L is the length, and W is the width

__

The area of the given rectangle will be ...

  A = (2x -3)(5x +7)

This product is simplified using the distributive property to eliminate parentheses. Then like terms are combined.

  A = 2x(5x +7) -3(5x +7)

  = (2x)(5x) +(2x)(7) -3(5x) -3(7)

  = 10x^2 +14x -15x -21

  A = 10x^2 -x -21

The expression 10x^2 -x -21 represents the area of the rectangle in square inches.

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3 years ago
If someone can answer this, you are BEYOND SMARTT!!! But tell me how to do it too!!!!
andrezito [222]
Look at all the choices

we know that at t = 0, the height of the rock is 16

choices H and I do not have a value of 16 at t = 0.

H: h(0) = -5.2(0)² + 24(0) - 12 = -12
I: h(0) = -4.2(0)² + 26(0) - 20 = -20

so we are left with F and G

if we take choice F and plug in t = 1
h(1) = -4.7(1)² - 25(1) + 16 = -13.7
if we take choice G and plug in t = 1
h(1) = -4.7(1)² + 25(1) + 16 = 36.3

only choice G works for us since it has 36.3 at t = 1

you could have also put these points in a graphing calculator and then use the quadratic regression feature to get an equation that will model this data
8 0
3 years ago
Factor completely:<br> 3x² + 5x - 12
Paladinen [302]

Please find attached photograph for your answer.

7 0
2 years ago
The ages of cars in the staff parking lot of a suburban college are uniformly distributed from 0 to 8 years. a) What is the mean
Novay_Z [31]

Answer:

Mean = 4

Step-by-step explanation:

Given

Range = 0 to 8 years

Distribution: Uniform Distribution

Required

Determine the mean

The mean of a uniform distribution is calculated as thus:

Mean = \frac{a + b}{2}

Where a and b are the range of the distribution

In this case:

b = 8; a = 0

So, we have:

Mean = \frac{0 + 8}{2}

Mean = \frac{8}{2}

Mean = 4

8 0
2 years ago
WILL MARK BRAINLIEST
ryzh [129]

The graph behavior of the function that satisfied the conditions given are:

  • Horizontal asymptote at y = 0.
  • Vertical asymptotes at x = -1 and x = 1.

<h3>What are the asymptotes of a function f(x)?</h3>

  • The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator, or values of x for which the value of the limit goes to infinity.
  • The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity, that is, the limit of f(x) as x goes to infinity.

Hence, for this problem, the graph behavior is given by the following asymptotes:

  • Horizontal asymptote at y = 0.
  • Vertical asymptotes at x = -1 and x = 1.

More can be learned about asymptotes at brainly.com/question/16948935

#SPJ1

5 0
1 year ago
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