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Stella [2.4K]
3 years ago
9

Which equation has the same graph as 4x + 8y = 12?

Mathematics
1 answer:
Nutka1998 [239]3 years ago
8 0

Answer:

4x + 8y = 12  \\ 4(x + 2y) = 12 \\  \frac{4(x + 2y)}{4}  =  \frac{12}{4}  \\ x + 2y = 3

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How do you rewrite y-3=4(x-5) turn into Slope Intercept Form
marissa [1.9K]

Answer:

20

Step-by-step explanation:

cause when you do 3=4 equals 4 then multiply 5 then you have 20

6 0
4 years ago
3. Find f[h(a+4)], given the functions below. *
mote1985 [20]

Answer:

C 5a^2 +70a +240

Step-by-step explanation:

We have given these following functions:

f(x) = 5x, g(x) = -2x + 1, h(x) = x^2 + 6x + 8

h(a+4)

This function is:

h(a+4) = (a+4)^2 + 6(a + 4) + 8

h(a+4) = a^2 + 8a + 16 + 6a + 24 + 8

h(a+4) = a^2 + 14a + 48

f[h(a+4)]

f(x) = 5x

Thus

f(h(a+4)) = f(a^2+14a+48) = 5(a^2 + 14a + 48) = 5a^2 + 70a + 240

The correct answer is given by option C.

8 0
3 years ago
A soccer team drank 7 gallons of water during the first 3 games this season. At this rate, about how many gallons of water will
andrezito [222]
The answer would be 77.
8 0
3 years ago
Read 2 more answers
Find the unknown value in proportion 2.3/6.7 = 4.6/x <br> a)13.4<br>b)20.1<br>c)1.6<br>d)3.4
Dominik [7]

2.3/6.7 = 4.6/x

using cross products

2.3*x = 6.7 * 4.6

divide by 2.3

x = 6.7 * 4.6 / 2.3

x = 6.7 * 2

x = 13.4

Choice A

5 0
3 years ago
The average annual income I in dollars of a lawyer with an age of x years is modeled with the following function I=425x^2+45,500
natali 33 [55]
You did not include the questions, but I will give you two questions related with this same statement, and so you will learn how to work with it.

Also, you made a little (but important) typo.

The right equation for the annual income is: I = - 425x^2 + 45500 - 650000

1) Determine <span>the youngest age for which the average income of a lawyer is $450,000

=> I = 450,000 = - 425x^2 + 45,500x - 650,000

=> 425x^2 - 45,000x + 650,000 + 450,000 = 0

=> 425x^2 - 45,000x + 1,100,000 = 0

You can use the quatratic equation to solve that equation:

x = [ 45,000 +/- √ { (45,000)^2 - 4(425)(1,100,000)} ] / (2*425)

x = 38.29 and x = 67.59

So, the youngest age is 38.29 years

2) Other question is what is the maximum average annual income a layer</span> can earn.

That means you have to find the maximum for the function - 425x^2 + 45500x - 650000

As you are in college you can use derivatives to find maxima or minima.

+> - 425*2 x + 45500 = 0

=> x = 45500 / 900 = 50.55

=> I = - 425 (50.55)^2 + 45500(50.55) - 650000 = 564,021. <--- maximum average annual income
3 0
3 years ago
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