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4 years ago

Write a simplified polynomial expression in standard form to represent the area of the rectangle below.

Mathematics

2 answers:

Margarita [4]4 years ago

4 0

Answer:

The correct option is C.

Step-by-step explanation:

Given information: One side of the rectangle is (5x+2) and another sides of rectangle is (x-4).

The area of rectangle is

$A=length \times width$

Substitute length = (5x+2) and width = (x-4) in the above formula, to find the simplified polynomial expression in standard form to represent the area of the rectangle.

$A=(5x+2)\times (x-4)$

Using distributive property,

$A=5x(x-4)+2(x-4)$

$A=5x(x)+5x(-4)+2(x)+2(-4)$

On simplification we get

$A=5x^2-20x+2x-8$

On combining like terms we get

$A=5x^2+(-20x+2x)-8$

$A=5x^2+(-18x)-8$

$A=5x^2-18x-8$

Therefore the correct option is C.

motikmotik4 years ago

3 0

(5x+2)(x-4
5x (x)+2(x)+5x (-4)+2 (-4)
5x^2+2x-20x-8
5x^2-18x-8
C. 5x^2-18x-8

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What is the measure of angle BCD? WILL GIVE BRAINLIEST!

Lorico [155]

Answer:

m∠BCD = 120°

Step-by-step explanation:

Since the interior angles of a quadrilateral add up to 360°, then we get:

2x+x+2x+x=360°

6x=360°

Divide both sides by 6

x=60°

Since ∠BCD's value is 2x and x is equal to 60°, then ∠BCD is 120°.

8 0

4 years ago

If f(x)=2x^{2} -3x+1, find f(3)-f(2)

LUCKY_DIMON [66]

F(3) = 2(3)^2 - 3(3) + 1 = 18 - 9 + 1 = 10

f(2) = 2(2)^2 - 3(2) + 1 = 8 - 6 = 2

Then f(3) - f(2) = 10 - 2 = 8 (answer)

4 0

3 years ago

Read 2 more answers

10x^4+7x^3-12x^2

VashaNatasha [74]

10x^4+ 7x^3-12x^2
= x^2(10x^2+ 7x- 12)
= x^2(10x^2 -8x+ 15x -12)
= x^2[ 2x(5x-4)+ 3(5x-4)]
= x^2(5x-4)(2x+3)

x^2(5x-4)(2x+3)= 0
⇒ x= 0
or 5x-4= 0
or 2x+3= 0
⇒ x= 0
or x= 4/5
or x= -3/2

The final answer is x= 0 or x= 4/5 or x= -3/2~

8 0

3 years ago

What is the total number of cubes needed to make the figure below?

Leni [432]

Answer:

Your answer is 10 and i need 20 characters so

Step-by-step explanation:

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3 years ago

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An appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of no more than 250 W. From pre

melamori03 [73]

Answer:

We conclude that a compact microwave oven consumes a mean of more than 250 W.

Step-by-step explanation:

We are given that an appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of no more than 250 W with a population standard deviation of 15 W.

They take a sample of 20 microwave ovens and find that they consume a mean of 257.3 W.

Let $\mu$ = mean power consumption for microwave ovens.

So, Null Hypothesis, $H_0$ : $\mu$ $\leq$ 250 W {means that a compact microwave oven consumes a mean of no more than 250 W}

Alternate Hypothesis, $H_A$ : $\mu$ > 250 W {means that a compact microwave oven consumes a mean of more than 250 W}

The test statistics that would be used here One-sample z test statistics as we know about the population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\bar X$ = sample mean power consumption for ovens = 257.3 W

σ = population standard deviation = 15 W

n = sample of microwave ovens = 20

So, the test statistics = $\frac{257.3-250}{\frac{15}{\sqrt{20} } }$

= 2.176

The value of z test statistics is 2.176.

Now, at 0.05 significance level the z table gives critical value of 1.645 for right-tailed test.

Since our test statistic is more than the critical value of t as 2.176 > 1.645, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that a compact microwave oven consumes a mean of more than 250 W.

7 0

3 years ago