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JulijaS [17]
3 years ago
6

The vertex form of the function y=x^2+8x+29

Mathematics
1 answer:
stira [4]3 years ago
5 0

Answer:

y = (x+4)^2 +13

Step-by-step explanation:

y=x^2+8x+29

To complete the square take  the coefficient of the x term

8

Divide by 2

8/2 =4

Then square it

4^2 =16

y=x^2+8x+16+13

 = (x^2+8x+16)  +13

 = (x+4)^2 +13

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I am lost on "Graph y< -3|x-1| please help!
Sindrei [870]

1) |x| is the absolute value function. Its vertex is at (0,0).

2) |x-1| has the same graph as does y = |x|, except that the vertex is shifted 1 unit to the left.

3) -3|x-1| has the same graph as the previous result, except that we must reflect the previous graph in the x-axis.

4) Replace the solid lines you used in this graph with dashed ones.

5) Shade the area beneath y = -3|x-1|

In summary:

the desired graph is the shaded area below the inverted v-shaped graph of

y = -3|x-1|. Its vertex is at (-1,0).

6 0
4 years ago
Covert 0.125 to a percent
Vlad [161]

Answer:

12.5%

Step-by-step explanation:

when converting a decimal to a fraction, multiply 100.

8 0
3 years ago
How would I convert -0.5x-y+5=0 into standard form with there being no coefficient for x?
juin [17]
First put the equation into standard form by isolating y:
y=-0.5x+5
To convert x to have no coefficients, the coefficient is really 1, so multiplying everything by -2 and you get
-2y=x-10
8 0
3 years ago
Select ALL the equations represented by this tape diagram.
stepladder [879]

Answer:

I think A, C and D

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3 0
3 years ago
Read 2 more answers
A survey was conducted that asked 1004 people how many books they had read in the past year. Results indicated that x overbarequ
melisa1 [442]

Answer:

Step-by-step explanation:

Given that a survey was conducted that asked 1004 people how many books they had read in the past year.

Results are:

x bar =12.5

s = 16.6

n = 1004

Std error of sample = \frac{s}{\sqrt{n-1} } =\frac{16.6}{\sqrt{1003} }\\=0.524152\\=0.524

Since population std dev is not known t critical value can be used for confidence interval.

df = 1004-1 =1003

t critical = 1.96

Margin of error = 1.96(std error) =1.027

Confidence interval lower bound = 12.5-1.027 = 11.473

Upper bound = 12.5+1.027 = 13.527

6 0
3 years ago
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