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kakasveta [241]
3 years ago
13

PLEASE HELP ME!!!! I WILL MARK!!!!!!! COME ON.

Mathematics
1 answer:
denpristay [2]3 years ago
8 0
<h3>Answer:   f(x) = x + 13 </h3>

This is the same as y = x+13

=============================================================

Explanation:

Let's find the slope

I'll use the first two rows as the (x1,y1) and (x2,y2) points

m = (y2-y1)/(x2-x1)

m = (19-18)/(6-5)

m = 1/1

m = 1

The slope is 1.

Now apply the point slope formula and solve for y

y - y1 = m(x - x1)

y - 18 = 1(x - 5)

y - 18 = x - 5

y = x-5 + 18

y = x + 13

f(x) = x + 13  is the final answer

As a check, note how something like x = 5 leads to...

f(x) = x+13

f(5) = 5+13 ... replace x with 5

f(5) = 18

We see that x = 5 leads to f(x) = 18. That verifies the first row. I'll let you check the remaining three rows.

The equation y = x+13 has slope 1 and y intercept 13.

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2 years ago
Bentley went into a bakery and bought 4 donuts and 10 cookies, costing a total of $23. Skylar went into the same bakery and boug
Dima020 [189]

Answer:

Donuts cost $2.00 and Cookies cost $1.50

Step-by-step explanation:

D = cost of a donut

C = cost of a cookie

4D + 10C = $23.00

8D + 6C = $25.00

Eliminate a variable when subtracting the two equations.  Change both values with C to 60 in order to eliminate the C variable and solve for D.

80D + 60C = $250.00 subtracted from 24D + 60C = $138

56D = $112.00  (Divide by 56 to single out the variable)

56D/56 = $112.00/56

D = $2.00

Use the D value to solve for C.

4(2) + 10C = $23.00

8 + 10C = $23.00

8 - 8 + 10C = $23.00 - 8

10C = $15.00

10C/10 = $15/10

C = $1.50

Check:

Bentley:  

4D + 10C = $23

4(2) + 10(1.50) = $23

8 + 15 = $23

23 = 23

Skylar:

8D + 6C = $25

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6 0
3 years ago
Read 2 more answers
Consider the accompanying data on flexural strength (MPa) for concrete beams of a certain type. 7.9 9.7 9.7 8.7 7.0 7.2 11.3 11.
dybincka [34]

Answer:

\sum X_i = 219.8

And we can calculate the mean with the following formula:

\bar X = \frac{\sum_{i=1}^n X_i}{n}= \frac{219.8}{27}= 8.141

We can calculate the sample variance with this formula:

s^2 = \frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}= 2.819

And the sample deviation would be given by:

s= \sqrt{s^2}=\sqrt{2.819}= 1.679

Step-by-step explanation:

For this case we have the following data given:

7.9 9.7 9.7 8.7 7.0 7.2 11.3 11.8 7.3 8.1 8.0 11.6 6.8 9.0 6.3 7.0 7.4 8.7 6.8 5.8 7.8 7.7 6.3 7.0 7.7 6.5 10.7

Our variable of interest is given by X="flexural strength (MPa) for concrete beams of a certain type"

And for this case we know that \sum X_i = 219.8

And we can calculate the mean with the following formula:

\bar X = \frac{\sum_{i=1}^n X_i}{n}= \frac{219.8}{27}= 8.141

We can calculate the sample variance with this formula:

s^2 = \frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}= 2.819

And the sample deviation would be given by:

s= \sqrt{s^2}=\sqrt{2.819}= 1.679

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Answer:

Step-by-step explanation:

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