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valina [46]
3 years ago
7

Gregory's front porch is rectangular. The length is 8 feet more than the width. The perimeter of the porch is 52 feet. What is t

he width of the porch?
Mathematics
1 answer:
Lapatulllka [165]3 years ago
5 0
The length would be 18 and the width would be 10 because if the use this formula: P=2L+2W(perimeter=s 2 Lengths  + 2 Widths) you will get 56 by adding 18+18=36 + 10 +10 = 56 Hope this helped/helps!

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Factor the quadratic equation of y= 4x^2 + 16x -48
vodka [1.7K]

Answer:

y = 4(x+6)(x-2)

Step-by-step explanation:

y = 4x² + 16x - 48, factor out the 4

y = 4(x² + 4x - 12), find factors of 12

Factors of 12:

1*12, 2*6, 3*4; find a pair that sums to 4x or 4

6-2 = 4, since 12 is a negative number, a number in the factor must be negative, in this case, making 2 negative, would make 6-2 = 4

y = 4(x+6)(x-2)

8 0
2 years ago
Suppose that a recent poll found that 49​% of adults believe that the overall state of moral values is poor. Complete parts​ (a)
Lunna [17]

Answer:

The mean of X is 122.5 and the standard deviation is 7.9.

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they believe that the overall state of moral values is poor, or they do not believe this. The probability of an adult believing this is independent of other adults. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

In this problem, we have that:

n = 250, p = 0.49

So

E(X) = np = 250*0.49 = 122.5

\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{250*0.49*0.51} = 7.9

The mean of X is 122.5 and the standard deviation is 7.9.

3 0
3 years ago
Please help! Algebra 1 math.
olya-2409 [2.1K]
A.   The data in the table represent a function. y=x/2. This is seen as for every value of x in the table, y=x/2(half of it). You can show this further by trying this fact on each value.

B.   For the original function, when x =8, y=x/2=4
For the function given in this part, when x=8, y=3(8)-10
                                                                 y=24-10                                                                                                            y=14
     This means the relation given in this part has a greater value when x=8

C. When x=80, f(x)=3(80)-10
                           =240-10
                           =230 
4 0
3 years ago
NEED HELP ASAP!!!!!!!
Elan Coil [88]
I think the answer is C
3 0
3 years ago
I don’t understand at all
Savatey [412]

Answer and Step-by-step explanation:

The parent function, f(x) = |x|, has no transformations applied to it.

When the number is with the x, it translates the graph horizontally. <->

When the number is outside of the absolute box, it translates the graph vertically. ^ V

When the number is multiply the absolute box on the outside with the x inside, it scales the graph.

So, first lets apply the translations of horizontal and vertical shift.

The graph translated 1 units downwards.

The graph translates 2 units to the right.

g(x) = |x - 2| - 1

We subtract the 2 because that makes it go right, while if we added it would go left.

Now for the scale.

The lines have a slope of \frac{1}{4}, so that is what we are multiplying.

<u> g(x) = </u>\frac{1}{4}<u>|x - 2| - 1</u>

<u></u>

<u>^That is your transformed function.</u>

<u></u>

<u></u>

<u></u>

<em><u>#teamtrees #PAW (Plant And Water)</u></em>

7 0
2 years ago
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