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jeka57 [31]
2 years ago
14

2. Two rectangular lots are adjacent to each other, as shown in the diagram below. Using a function operation, determine how man

y times bigger the large lot is than the small lot. Clearly identify the individual component functions and simplified final equation. ​
Mathematics
1 answer:
Galina-37 [17]2 years ago
8 0

The large rectangle is 8/3 times bigger than the small rectangle.

<h3>How to explain the area?</h3>

Area of large rectangle will be:

= 4x(2x - 2)

= 8x² - 8x

Area of small rectangle will be:

= (3x - 3)x

= 3x² - 3x

The ratio will be:

= 8x² - 8x/3x² - 3x

= 8(x² - x)/3(x² - x)

= 8/3

The large rectangle is 8/3 times bigger than the small rectangle.

Learn more about rectangles on:

brainly.com/question/25292087

#SPJ1

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The midpoint of AB is M(1, -4). If the coordinates of A are (-3,-6), what are the coordinates of B?
kramer

Answer:

The coordinates of B is (5,-2)

Step-by-step explanation:

In order to find the coordinates of B, you have to use midpoint formula. Then substitute the following values into the formula :

m = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} )

Let (x1,y1) be A (-3,-6),

Let (x2,y2) be B,

Let midpoint be M (1,-4),

(1, - 4) =  (\frac{ - 3 + x2}{2} , \frac{ - 6 + y2}{2} )

by \: comparison, \:

\frac{ - 3 + x2}{2}  = 1

- 3 + x2 = 2

x2 = 5

\frac{ - 6 + y2}{2}  =  - 4

- 6 + y2 =  - 8

y2 =  - 2

6 0
3 years ago
You are choosing between two health clubs. Club A offers membership for a fee of $12 plus a monthly fee of $28. Club B offers me
EleoNora [17]

A has fixed one time fee of $12 and if you go to it say "m" months you pay $28 for each month, so your total cost at A is really 12 + 28m.

B has a fixed one time fee of $20 and if you go to it "m" months you pay $26 for each month, so you total cost at B is 20 + 26m.

how many months for the cost to be the same?

\stackrel{A}{12+28m}=\stackrel{B}{20+26m}\implies 12+2m=20\implies 2m=8\implies m=\cfrac{8}{2}\implies m=4

well, since the cost for both is the same, we can just get A's, knowing that B is the same

12+28(4)\implies 12+112\implies 124

5 0
2 years ago
What is the volume of the right prism?
Over [174]
B. 46 CM3 IT MAY BE
8 0
3 years ago
A forester studying diameter growth of red pine believes that the mean diameter growth will be different from the known mean gro
-Dominant- [34]

Answer:

t=\frac{1.6-1.35}{\frac{0.46}{\sqrt{32}}}=3.07  

The degrees of freedom are given by:

df =n-1= 32-1=31

Since is a two-sided test the p value would be:  

p_v =2*P(t_{31}>3.07)=0.0044  

Since the p value is a very low value we have enough evidence to conclude that true mean is significantly different from 1.35 in/year at any significance level commonly used for example (\alpha=0.01,0.05, 0.1, 0.15).

Step-by-step explanation:

Data given and notation  

\bar X=1.6 represent the sample mean

s=0.46 represent the sample deviation

n=32 sample size  

\mu_o =1.35 represent the value that we want to test  

\alpha represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the true mean is different from 1.35 in/year, the system of hypothesis would be:  

Null hypothesis:\mu =1.35  

Alternative hypothesis:\mu \neq 1.35  

The statistic is given by:

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}} (1)  

Calculate the statistic  

We can replace in formula (1) the info given like this:  

t=\frac{1.6-1.35}{\frac{0.46}{\sqrt{32}}}=3.07  

P-value  

The degrees of freedom are given by:

df =n-1= 32-1=31

Since is a two-sided test the p value would be:  

p_v =2*P(t_{31}>3.07)=0.0044  

Since the p value is a very low value we have enough evidence to conclude that true mean is significantly different from 1.35 in/year at any significance level commonly used for example (\alpha=0.01,0.05, 0.1, 0.15).

5 0
3 years ago
Which of the following is a quadratic function?
rewona [7]

the function of quadratic is number4

4 0
3 years ago
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