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Mazyrski [523]
2 years ago
9

If the area of the rectangle is given by the polynomial 2x^2-7x-15, what is the dimension of the reactangle in terms of x?​

Mathematics
1 answer:
Irina18 [472]2 years ago
4 0

Answer:

  • x - 5 and 2x + 3

Step-by-step explanation:

<h3>Given</h3>
  • Area of rectangle = 2x^2 - 7x - 15
<h3>To find</h3>
  • Dimensions of rectangle
<h3>Solution</h3>

<u>Since the area is the product of the sides, let's try to factorize the given:</u>

  • 2x^2 - 7x - 15=
  • 2x^2 - 10x + 3x - 15 =
  • 2x(x - 5) + 3(x - 5) =
  • (x - 5)(2x + 3)

<u>So the dimensions are:</u>

  • x - 5 and 2x + 3

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Answer:

The location offering the better price is The Framers. It is cheaper by $1.35

Step-by-step explanation:

I've Been Framed:

50% of $115 = $57.5

10% of $57.5 = $5.75

$57.5 - $5.75 = $51.75

Total: $51.75

The Framers:

30% of $120 = $36

$120 - $36 = $84

40% of $84 = $33.6

$84 - $33.6 = $50.4

Difference: $1.35

7 0
2 years ago
If the quantity 4 times x times y cubed plus 8 times x squared times y to the fifth power all over 2 times x times y squared is
MA_775_DIABLO [31]
\dfrac{4xy^3 + 8x^2y^5 }{2xy^2}

= \dfrac{4xy^3(1+2xy^2)}{2xy}

= 2y^2(1 + 2xy^2)

= 2y^2 + 4xy^4

Answer: a = 1, b 2, c = 1, d = 4
8 0
2 years ago
If ray NP bisects &lt;MNQ, m&lt;MNQ=(8x+12)°, m&lt;PNQ=78°, and m&lt;RNM=(3y-9)°, find the value of x and y
aksik [14]

Step 1

<u>Find the measure of angle x</u>

we know that

If ray NP bisects <MNQ

then

m<MNQ=m<PNM+m<PNQ ------> equation A

and

m<PNM=m<PNQ -------> equation B

we have that

m<MNQ=(8x+12)°

m<PNQ=78°

so

substitute in equation A

(8x+12)=78+78-------> 8x+12=156------> 8x=156-12

8x=144------> x=18°

Step 2

<u>Find the measure of angle y</u>

we have

m<PNM=(3y-9)°

m<PNM=78°

so

3y-9=78------> 3y=87------> y=29°

therefore

<u>the answer is</u>

the measure of x is 18° and the measure of y is 29°


7 0
2 years ago
A scientist who studies teenage behavior was interested in determining if teenagers spend more time playing computer games then
Marina86 [1]

Answer:

- The amount of time greater than 10.2 hours for this year.

- The P_{value} is 0.01358.

Step-by-step explanation:

Given information:

mean, X = 10.2 hours

sample, n = 15

using t distribution

test statistics = 2.822

P_{value} = 2 x P(t_{n-1} > test statistics)

                              = 2 x P(t_{15-1} > 2.822)

                              = 2 x 0.00679

                              = 0.01358

P_{value} is less than 0.10 which indicates that the amount of time greater than 10.2 hours for this year.

5 0
2 years ago
Alana and two of her friends evenly split the cost of a meal. They determine that each person owes $14.68. How much was the enti
AlekseyPX

Answer:

44.04 bucks

Step-by-step explanation:

14.68 times 3 because 1 plus 2 is 3 friends. And 14.68 is how much they EACH paid.

6 0
2 years ago
Read 2 more answers
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