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tatyana61 [14]
3 years ago
15

Use the number line below, where RS=7y+3, ST=2y+9, RT=14y-8a. What is the value of y?y=

Mathematics
1 answer:
Ilia_Sergeevich [38]3 years ago
8 0
RS+ST= RT
(7Y+3)+(2Y+9)= 14Y-8
9Y+12=14Y-8
5Y=20
Y=4
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What is the axis of symmetry for the function f(x) =-2x^2+4x+1 is the line x=1 where is the vertex of the function located?
Aleksandr-060686 [28]

Answer:

Step-by-step explanation:

hello :

f(x) =-2x²+4x+1       Completing The Square : f(x) =2(x²+2x)+1

f(x) = -2((x²-2x+1)-1)+1

f(x) = -2((x-1)²-1)+1

f(x) =2(x-1)²+1  ... verex form   when the vertex is (1,1)

the axis of symmetry  is x=1

5 0
3 years ago
The vertex of the graph of y = -4(x + 3)2 + 2 is <br><br> (____,____)
Mars2501 [29]

Answer: The vertex is (-3, 2)

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I rewrote x+3 as x - (-3)

Compare y = -4(x - (-3))^2 + 2 with the general template y = a(x-h)^2 + k

Note how

a = -4

h = -3

k = 2

So the vertex is (h,k) = (-3, 2)

5 0
3 years ago
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What is an equation of the line that passes through the points (3,0) and (6,-1)
aliya0001 [1]

Answer:

Step-by-step explanation:

slope=(-1-0)/(6-3)=-1/3

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7 0
3 years ago
What is the answer for 63 * 4
lesya692 [45]

Hello


Answer:

15752961 or 252

Step-by-step explanation:

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6x4 is 252

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5 0
3 years ago
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Suppose that an insurance company classifies people into one of three classes — good risks, average risks, and bad risks. Their
Dominik [7]

Answer: Our required probability is 0.745.

Step-by-step explanation:

Since we have given that

Probability of getting good risks people = 0.05

Probability of getting average risks people = 0.15

Probability of getting bad risks people = 0.30

Probability of getting good risk accident = 0.2

Probability of getting average risk accident = 0.5

Probability of getting bad risk accident = 0.3

So, Probability of people having accident in a year is given by

0.05\times 0.2+0.15\times 0.5+0.30\times 0.3\\\\=0.175

Probability of people either good or average risk given that he\she had no accident is given by

=\dfrac{0.2\times 0.95+0.5\times 0.85}{1-0.175}\\\\=\dfrac{0.615}{0.825}\\\\=0.745

Hence, our required probability is 0.745.

3 0
3 years ago
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