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natali 33 [55]
3 years ago
11

Hi what is the answer

Mathematics
2 answers:
saveliy_v [14]3 years ago
5 0

Answer:

y = 5x

y = 60 when x =12

Step-by-step explanation:

Directly proportional means

y = kx where k is the constant of proportionality

We know y and k so we can find k

30 = k*6

Divide each side by 6

30/6 = 6k/6

5 =k

The equation is

y = 5x

We can find y when x=12

y = 5*12

y = 60

elena-s [515]3 years ago
4 0

Answer:

a) y = 5x

b) y = 60

Step-by-step explanation:

We can see that when you multiply x by 5, you get the y value.

So, 12*5 = 60.

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The axis of symmetry for the graph of the function is f(x) = x2 + bx + 10 is x = 6. What is the value of b?
joja [24]

Answer:

b=-12

Step-by-step explanation:

we have

f(x)=x^{2}+bx+10

we know that

The equation of a vertical parabola into vertex form is equal to

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f(5)=5^{2}+b(5)+10

f(5)=35+5b

Remember that

f(5)=f(7) ------> the x-coordinates are at the same distance from the axis of symmetry

so

59+7b=35+5b ------> solve for b

7b-5b=35-59

2b=-24

b=-12


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