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Wewaii [24]
3 years ago
5

-ELIMINATION-- 4x + 9y = 9 x - 3y = -6

Mathematics
1 answer:
Troyanec [42]3 years ago
6 0
The first on is this answer here

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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

y=a(x-h)^{2} +k

where

(h,k) is the vertex of the parabola

and the axis of symmetry is equal to x=h

In this problem we have the axis of symmetry x=6

so

the x-coordinate of the vertex is equal to 6  

therefore

For x=6+1=7 -----> one unit to the right of the vertex

Find the value of f(7)

f(7)=7^{2}+b(7)+10

f(7)=59+7b

For x=6-1=5 -----> one unit to the left of the vertex

Find the value of f(5)

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


3 0
3 years ago
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8x + 12 = 4r - 16 find r
Ber [7]
After r duhh IM SORRY
7 0
3 years ago
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Identify the slope and the y-intercept of the following line!<br> y=-5+17/8x
hichkok12 [17]

The slope = 17/8, while as the y - intercept = -5. The graph shown below will help give you a better understanding of what I'm saying.

5 0
2 years ago
Plss show the work<br> –4z + 8 = –2z
IceJOKER [234]

Answer:

z=-4/3

Step-by-step explanation:

8=-6z

z=-8/6

z=-4/3

4 0
2 years ago
2⁄3 − 1⁄2=<br> Answer as a fraction
OverLord2011 [107]

Answer: 1/6

Step-by-step explanation:

8 0
3 years ago
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