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sergiy2304 [10]
3 years ago
7

Determine any data values that are missing from the table, assuming that the data represent a linear function.

Mathematics
1 answer:
Stells [14]3 years ago
7 0

Answer:

Fill in the blank with 14

<em></em>

Step-by-step explanation:

Given

The attached table

Required

Fill in the gap

Since, the table represents a linear function.

The first step is to calculate the slope of the table

m = \frac{y_2 - y_1}{x_2 - x_1}

Where

(x_1,y_1) = (1,2)

(x_2,y_2) = (2,6)

m = \frac{y_2 - y_1}{x_2 - x_1}

m = \frac{6 - 2}{2 - 1}

m = \frac{4}{1}

m=4

The equation of the table is calculated next as:

y - y_1 = m(x - x_1)

This becomes

y - 2 = 4(x - 1)

y - 2 = 4x - 4

Solve for y

y = 4x - 4+2

y = 4x -2

To fill in the blank;

The value of x is 4

So, substitute 4 for x in y = 4x -2

y = 4 * 4 - 2

y = 16 - 2

y = 14

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3 km

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30 divided by 10 is 3.

9 divided by 3 is 3.

Therefore, your answer is 3.

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2 years ago
PLEASE HELP ME ASAP!
TEA [102]

Answer:

x=5, y=2

Step-by-step explanation:

You simply write down what you see:

3x - 4y + 4x - 5y = 17

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Then you simplify by grouping the x and the y terms:

7x - 9y = 17

5x - 8y = 9

Now you want to get equal amounts of x or y. Let's go for x. If we multiply the top eq with 5 and the bottom one with -7, we get:

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-------------------------+ now we can add them:

11y = 22 divide by -11

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So 7x - 18 = 17, x =5

Finally, it makes sense to double check by filling in these answers in the original equations, just to see if no mistakes were made:

3*5 - 4*2 = 7

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7+10 = 17: ok!

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3*5 - 5*2 = 5

4+5 = 9: ok!

4 0
3 years ago
In a certain Algebra 2 class of 27 students, 18 of them play basketball and 16
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Answer:

<em>The probability is 0.89 or 89%</em>

Step-by-step explanation:

<u>Probability</u>

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The probability that a randomly chosen student plays basketball or baseball is:

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2 years ago
4-(2x-3)=3 whats the answer
Oxana [17]

Hello there.

Explanation:

↓↓↓↓↓↓↓↓↓↓

4-(2x-3)=3

First, subtract by 4 from both sides.

4-(2x-3)-4=3-4

Second, simplify.

-(2x-3)=-1

Third, divide by -1 from both sides.

\frac{-(2x-3)}{-1}=\frac{-1}{-1}

Fourth, simplify.

2x-3=1

Next, add by 3 from both sides.

2x-3+3=1+3

Then simplify.

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Finally, simplify.

x=2

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Hope this helps!

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