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Georgia [21]
3 years ago
14

Find an equation of a line with the x- and y-intercepts below. Use exact fractions when necessary.

Mathematics
1 answer:
tamaranim1 [39]3 years ago
3 0

Answer:

y=\frac{5}{7}x-5

Step-by-step explanation:

All lines in the plane are of the form

y = mx+b

<u><em>The intersection with the Y-axis is obtained by replacing x with 0 </em></u>

<u><em>The intersection with the X-axis is obtained by replacing y with 0 </em></u>

If we want that the Y-intercept = -5, then  

-5 = m(0)+b

So b = -5

Our temporal equation is then

y = mx-5

If we want that the X-intercept = 7, then  

0 = m(7)-5

7m = 5

m = 5/7

So our final equation is

y=\frac{5}{7}x-5

Attached is the graph of the line

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3 If f(x) = x2 and g(x) = x + 6, find g(f(0)). A. -6 B. 6 C. 12 D. 36
harkovskaia [24]

Answer:

6

Step-by-step explanation:

g(f(0)) means that the input of f(x) is 0 and this value of f(x) found is the input of g(x). This is known as composite functions.

Let's find the value of f(0).

f(x)= x²

f(0)= 0²

f(0)= 0

Now, we can find the value of g(f(0)).

g(x)= x +6

g(f(0))

= g(0)

= 0 +6

= 6

4 0
2 years ago
Please solve for a, b, and c
rusak2 [61]

The table is:
Number of washes denoted by x: 0, 8, 12
Amount left on card denoted by y: 30, 18, 12
 
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Solution:
18 – 30 divided by 8 – 0 = -12/8
On simplest form is -3/2
 
The equation is y = -3/2x + 30
 
b.      Explain the meaning of the negative slope above.
As the number of car washes increase, the dollars left on the card decreases.
 
c.       What is the maximum value of x?
0 = -3/2x + 30
2/3 x 3/2 x = 30/1 x 2/3
Cancel 2/3 x 3/2 and reduce 30 by 3 we get 10, 10 x 2
x = 20

Read more on Brainly.com - brainly.com/question/7171213#readmore
3 0
3 years ago
Distance between points (−4, 3) and (−2, −1)?
sammy [17]

\sqrt{ {( - 4 + 2)}^{2} +  {(3 + 1)}^{2}  }  =  \\  \sqrt{4 + 16}  =  \sqrt{20}
5 0
3 years ago
Taylor uses 1/8 pound of chocolate in every cookie recipe she makes. If she used 3/4 pound of chocolate yesterday, how many batc
omeli [17]
She made 6 patches of cookies because if she uses 1/8 per batch and 3/4 x2 equals 6/8 , she made 6 batches.
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2 years ago
Read 2 more answers
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a_sh-v [17]
The root of 77 is 8.774 so the answer is C

Answer: C
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2 years ago
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