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Scrat [10]
3 years ago
5

The width of a rectangle is modeled by the function w(x) = 3x – 6, and the length of the rectangle is modeled by the function l(

x) = 5x + 7. How can the functions be combined to find a function, a(x), that models the area of the rectangle?
a(x) = 8x + 1
a(x) = 16x + 2
a(x) = 15x2 – 9x – 42
a(x) = 30x2 – 18x – 84
Mathematics
1 answer:
Inessa [10]3 years ago
7 0

Answer:

15x^2 - 9x - 42

Step-by-step explanation:

(3x+6)(5x+7)

15x^2 +21x - 30x -42

15x^2 - 9x - 42

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Please help???????? ASAP​
Keith_Richards [23]

Answer:

The answer is 9

Step-by-step explanation:

You each exponent to get 81/9. You simplify and it gives you 9.

8 0
3 years ago
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Please send a picture or tell me what to draw to show because I need to show my work too. Thanks
oee [108]

Answer: 81 people attended

Explanation:

Number of adults = 988 / 26 = 38

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5 0
3 years ago
Find the common ratio of the geometric sequence 18,-72,288,...
tamaranim1 [39]

Answer:

<em>The common ratio of the geometric sequence is -4</em>

Step-by-step explanation:

<u>Geometric Sequence</u>

A geometric sequence is defined as a series of numbers that follow a fixed pattern: Each term equals the previous term times a fixed number called the common ratio. The recursive formula is:

a_n=a_{n-1}*r

Where r is the common ratio.

We are given three terms of a geometric sequence:

18,-72,288,...

To find the common ratio, just divide each term by the previous term:

\displaystyle r=\frac{-72}{18}=-4

Make sure it's a fixed number and test with the third term:

\displaystyle r=\frac{288}{-72}=-4

Since both numbers coincide, the common ratio of the geometric sequence is -4

5 0
3 years ago
A recipe for a batch of muffins calls for 1/3 cup of sugar, 3/4 cup of flour, and 1/2 cup of milk. How many total cups of sugar,
Arturiano [62]
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7 0
3 years ago
In a study of 259 comma 995 cell phone​ users, it was found that 121 developed cancer of the brain or nervous system. Assuming t
IRISSAK [1]

Answer:

The probability of having 121 cases or less is:

P(X

This suggests that the study does not show any significantly effect of the use of cell phone in the probability of having brain or nervous system cancer. The use of cell phone does not appear to be a significant factor in the risk of having this type of cancer.

Step-by-step explanation:

We start by calculating the expected standard deviation of the population cases:

\sigma=\sqrt{n\pi(1-\pi)}=\sqrt{259,995*0.000489*0.999514}\\\\\sigma=\sqrt{126.29}\\\\\sigma=11.24

Then, to calculate the probability, we first calculate the z-score for 121 cases.

z=\dfrac{X-\mu}{\sigma}=\dfrac{121-127}{11.24}=\dfrac{-6}{11.24}=-0.5338

The probability of having 121 cases or less is:

P(X

This suggests that the study does not show any significantly effect of the use of cell phone in the probability of having brain or nervous system cancer. The use of cell phone does not appear to be a significant factor in the risk of having this type of cancer.

3 0
4 years ago
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