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Finger [1]
3 years ago
10

Put the equation y = x^2 + 26 x + 160 into the form y = ( x − h )^2 + k :

Mathematics
2 answers:
KATRIN_1 [288]3 years ago
6 0

Put the equation y = x^2 + 26 x + 160 into the form y = ( x − h )^2 + k

Given equation is y = x^2 + 26 x + 160

We apply completing the square method

we take coefficient of middle term and then divide by 2  and then square it

coefficient of middle term is 26

Divide by 2, it becomes 13

then we square it (13)^2 = 169

Add and subtract 169

y = x^2 + 26 x +169 - 169 + 160

y = x^2 + 26 x +169 - 9

y = (x + 13)^2 - 9

We got the equation in vertex form

Alisiya [41]3 years ago
3 0

<u>Answer:</u>

<u>y = (x + 13)^2 - 9</u>

<u>Step-by-step explanation:</u>

To write the given quadratic equation in the form  y = ( x − h )^2 + k, we need to complete the square for the given equation.

y = x^2 + 26x + 160

Shift the constant to the left side of the equation:

y - 160 = x^2 + 26x

Divide the coefficient of x by 2 and add the square of the result to both sides of the equation:

26 / 2 = 13

So adding 13^2 to both sides of the equation to get:

y - 160 + (13)^2 = x^2 + 26x + (13)^2

y - 160 + 169 = (x + 13)^2

y + 9 =  (x + 13)^2

y =  (x + 13)^2 - 9

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(1+5^2)-16(1/2)^3<br><br> step by step of solving this
riadik2000 [5.3K]

Power: 5 ^ 2 = 25

Add: 1 + 25 = 26

Power: 1

2

^ 3 = 13

23

= 1

8

Multiple: 16 * 1

8

= 16 · 1

1 · 8

= 16

8

= 2 · 8

1 · 8

= 2

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(16, 8) = 8

Subtract: 26 - 2 = 24


7 0
3 years ago
During the summer of 2014, Coldstream Country Club in Cincinnati, Ohio collected data on 443 rounds of golf played from its whit
lys-0071 [83]

Answer:

Step-by-step explanation:

Hello!

You have the data on 443 rounds of golf played on the 12th hole.

The variable of interest is:

X: score of one round of golf played on the 12th hole.

To construct the empirical distribution of the discrete variable you have to organize the data from least to highest and count how many times each score was recorded, establishing the absolute frequency for each value of the variable.

a. Check attachment.

fi= absolute frequency

Fi= accumulated absolute frequencies

hi= relative frequency

Hi= accumulated relative frequency

b.

P(X≤4)

This is the probability of the player scoring "4 or less", so it includes the probability of the player scoring 3 and the player scoring 4, symbolically:

P(X≤4)= P(X=3)+P(X=4)= H(4)= 0.136

c.

The expected score of a discrete variable is:

E(X)= [∑(Xi*fi)]/n= 2343/443= 5.29

d.

To calculate the variance of the variable you have to use the following formula:

V(X)= 1/(n-1)*[∑(Xi²*fi)-(∑(Xi*fi)²]/n)] = (1/442)*[12831-(2343²/443)]

V(X)= 0.993

e.

The standard deviation is the square root of the variance:

√V(X)=√0.993= 0.994

I hope it helps!

4 0
3 years ago
Read 2 more answers
a concession stand is selling hot dogs and hamburgers during a game. at halftime they sold a total of 78 hot dogs and hamburgers
lara31 [8.8K]
Let x=number of hamburgers sold and y=number of hot dogs sold.
Step 1)
cost of burgers X # of burgers + cost of hotdogs X # of hotdogs=$ collected               1.5x + 1.25y=105.5

step 2)
# of burgers sold + number of hot dogs sold = total number of items sold
     x + y = 78

step 3)  solve for y in the second equation
     y = 78 - x

step 4)  substitute y = 78 - x in the first equation for the value of y and solve for x
     1.5x + 1.25(78 - x)=105.50
     1.5 x + 97.5 - 1.25x=105.50
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     x = 32


step 5)  plug in our value for x in the second equation and solve for y
     x+y=78
     32+y=78
     y=46

answer       32 hamburgers and 46 hot dogs
3 0
3 years ago
Which equations for the line of best fit do not accurately represent the data in the scatter plot? Select all that apply.
Inessa [10]

Concluding, the equations that do not accurately represent the data in the scatter plot are B, C, and D.

<h3></h3><h3>Which equations do not accurately represent the data in the scatter plot?</h3>

By looking at the scatter plot, we can see that as we read from left to right, the number of shoes sold (y variable) decreases.

Then the linear fit must have a negative slope, from that, we can discard options B and C.

Now, we also can see that the line starts almost at y = 70.

If you look at the option D, you can see that the constant term of that line is -70, so we can also discard that option.

Concluding, the equations that do not accurately represent the data in the scatter plot are B, C, and D.

If you want to learn more about scatter plots:

brainly.com/question/6592115

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8 0
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Nataly_w [17]

Answer:

500/6 min if I'm correct

Step-by-step explanation:

8 0
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