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IgorLugansk [536]
4 years ago
15

What is the value of the expression?

Mathematics
1 answer:
KengaRu [80]4 years ago
8 0

Answer:

<h2>B. -3.2</h2>

Step-by-step explanation:

4\!\!\!\!\diagup^1\cdot\dfrac{-6.4}{8\!\!\!\!\diagup_2}=-\dfrac{6.4}{2}=-3.2

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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
Read 2 more answers
Suppose M is the midpoint of line FG.
alukav5142 [94]
A)\\|FM|=5y+13;\ |MG|=5-3y\\\\|FG|=|FM|+|MG|\\\\|FG|=(5y+13)+(5-3y)=2y+18\\\\B)\\|FM|=8a+1;\ |FG|=42\\\\|FG|=2|FM|\\\\2(8a+1)=42\\16a+2=42\ \ \ \ \ |subtract\ 2\  from\ both\ sides\\16=40\ \ \ \ \ |divide\ both\ sides\ by\ 16\\a=\frac{40}{16}\\a=\frac{5}{2}\\a=2.5

6 0
3 years ago
Please help me on this one
lara31 [8.8K]

Answer:8600

Step-by-step explanation:

477

8 0
4 years ago
What value of a make the equation 14-a=19-12
abruzzese [7]

14-a=19-12\\14-a=7\\a=14-7\\a=7

5 0
2 years ago
Read 2 more answers
Share 747 pound in the ratio 2:7 betwen tom and ben
Yuliya22 [10]
2p + 7p = 747
9p = 747 divded by 9 = 83
2 * 83 = 166    7 * 83 = 581

Hope it helps
7 0
3 years ago
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