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Lostsunrise [7]
3 years ago
10

Find the equation of the axis of symmetry of the graph of y = (x + 3)^2 - 5

Mathematics
1 answer:
Temka [501]3 years ago
3 0
Equation of the parabola: y = ax^2 + bx + c. Find a, b, and c.
x of axis of symmetry:
x
=
−
b
2
a
=
3
-> b = -6a
Writing that the graph passing at point (1, 0) and point (4, -3):
(1) 0 = a + b + c -> c = - a - b = - a + 6a = 5a
(2) -3 = 16a + 4b + c --> -3 = 16a - 24a + 5a = -3a --> a = 1
b = -6a = -6; and c = 5a = 5
y
=
x
2
−
6
x
+
5

Check with x = 1: -> y = 1 - 6 + 5 = 0. OK
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Suppose that y varies inversely as x and that y=8 when x=3. Calculate the value of y when x= 10.
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3 years ago
What is 2 1/4 times 9/5
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4 0
2 years ago
The ratio of cats to dogs in the shelter is 2:3. If there are 8 cats, how many dogs are there?
maxonik [38]
12, for every 2 cats there are three dogs. 8/2 is four. you multiply 3 times 4 to get 12
4 0
1 year ago
Read 2 more answers
Still don’t get it idk lol
KonstantinChe [14]

Answer:

XQ = 12

Step-by-step explanation:

In this question it asks for XQ instead of x, but you need to find x first.

1. Find x.

XQ is half of MQ so this statement is true: 3x - 3 = 2(2x - 6)

Solve for x.

3x - 3 = 2(2x - 6)

Distribute 2.

3x - 3 = 4x - 12

Isolate x.

3x = 4x - 9

-x = -9

Divide -1 out.

x = 9

Now solve for XQ, which the equation is given.

XQ = 2(9) - 6

XQ = 18 - 6

XQ = 12

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3 years ago
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Crazy boy [7]

Answer:

Anyone have all the answers?

Step-by-step explanation:

6 0
3 years ago
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