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marishachu [46]
3 years ago
7

What is the slope of this graph?

Mathematics
2 answers:
fredd [130]3 years ago
5 0
The slope of the graph is 1/2
zzz [600]3 years ago
3 0
The slope of the graph is 1/2
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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
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What is the standard deviation of the following data set?
tia_tia [17]

Answer:

D. 14.32

Step-by-step explanation:

The formula for standard deviation is:

SD = \sqrt{\frac{\sum | x-\mu|^2}{N}}

The mean μ is 33.

The (x minus μ) squared are 361, 49, 49, 361 respectively.

So that the SD = \sqrt{\frac{820}{4}} \approx 14.31782...

4 0
3 years ago
I just this one please someone help
Step2247 [10]

Answer:

100

Step-by-step explanation:

because 4, 3, and 2 all make 180 and 4 and 2 are both 40 so you add that which makes 80 and then you take 180 and subtract 80 which gives you 100

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3 years ago
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Normal probability Density Function Use a graphing utility to graph the model probability density function with µ = 0 and ð = 2,
Nuetrik [128]

Answer:

Step-by-step explanation:

Hello!

The standard deviation (δ) is a measure of variability, this means, it shows how dispersed the data set is with respect to the mean. The population mean (μ) is a measurement of position. The three graphics have the same position μ=0 but their standard deviations change, this means, the form of their bells is different. The greater the value of the standard deviation, the more dispersed the data is you can see this graphically because the width of the bell will be greater.

Graph attached.

I hope it helps!

5 0
4 years ago
Suppose you win $40,000 in the lottery (after taxes). If you deposit this in a money market account earning 6% interest, compoun
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Answer:

I'm totally gonna have $49.600, in two years earn $9.600.

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