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stich3 [128]
3 years ago
7

The graph of a linear function has a slope of 5, and it passes through the point (–7, 5). What is the value of the dependent var

iable when the independent variable is equal to 2?
Mathematics
1 answer:
AlladinOne [14]3 years ago
7 0

If we would have assigned a different value for x, the equation would have given us another value for y. We could instead have assigned a value for y and solved the equation to find the matching value of x.

In our equation y=x+7, we have two variables, x and y. The variable which we assign the value we call the independent variable, and the other variable is the dependent variable, since it value depends on the independent variable. In our example above, x is the independent variable and y is the dependent variable.

A function is an equation that has only one answer for y for every x. A function assigns exactly one output to each input of a specified type.

It is common to name a function either f(x) or g(x) instead of y. f(2) means that we should find the value of our function when x equals 2.


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Solve each equation.<br> 7) 18 =-2+a<br> 8) -7= m - 12<br> 9) -8(7 + 7n)=-336<br> 10) -140=-7(-4+36)
lesya692 [45]

Answer:

7) a= 20

8) m= 5

9)n = 5

10) b = 8

Step-by-step explanation:

7) 18+2=-2+2+a

>> 20 = a >> a = 20

18 + 2 = 20 so that isolates the variable leaving a = 20

8) -7+12 = m -12+12

>>> 5 = m >> m = 5

-7 + 12 = 5 so that again isolates the variable leaving m = 5

9) <u>-8(7</u> + <u>7n</u>) = -336

>> -56+56 + -56n = -336+56

>>> -56n/-56 = -280/-56

>>>> n = 5

use distributive property, cancel out necessary numbers, isolate the variable. leaving n = 5.

10) -140 = <u>-7(-4 </u>+ <u>3b)</u>

>>  -140 = 28 - 21b >> -140-28 = -21b +28-28 ( flipped the numbers)

>>>  -168/-21 = -21b /-21

>>>> 8 = b >> b =8

Hope it helps!

5 0
3 years ago
100, 91, 82, 73 Number pattern expression equations
emmasim [6.3K]

Answer:

The pattern is subtract 9 (OR -9)

Step-by-step explanation:

100 - 91 = 9

91 - 82 = 9

82 - 73 = 9

Glad I could help! Feel free to mark brainliest!

5 0
3 years ago
Read 2 more answers
Hi, I have no clue how to do proportions and can you explain how to do this? If you can't that's alright.
bekas [8.4K]

___________________

Please, give me some minutes to take over your question

______________________________________

Rate = miles / time

8/t = 7/ 35

Dividing by 7

8/t = 7/ 35

8/ 7t = 1/ 35

Multiplying by t

8/7 = t/35

_____________

Options

1) 8/t = 35/ 7 (False, t/8 = 35/ 7 )

2) t/8 = 7/ 35 (False, t/8 = 35/ 7 )

3) 8/7 = t/ 35 (TRUE)

4) 7/8 = t/35 (False, 8/7 = t/ 35 )

__________________

Answer

3) 8/7 = t/ 35 (TRUE)

4 0
1 year ago
3. One of the graphs represents
faltersainse [42]

Answer:

3x-2y=6

Step-by-step explanation:

Subtract 3x from both sides of the equation

Divide each term by −2 and simplify.

y=-3+\frac{3x}{2}

Rewrite in slope-intercept form

y=\frac{3}{2} *-3

Use the slope-intercept form to find the slope and y-intercept.

Find the values of m and  b using the form y=mx+b

m=\frac{3}{2}

b=-3

The slope of the line is the value of m, and the y-intercept is the value of b.

Slope: \frac{3}{2}

y-intercept: -3

Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding  y values.

Choose 0 to substitute in for x to find the ordered pair.

(0,−3)

Choose 1 to substitute in for x to find the ordered pair.

(1,-\frac{3}{2} )

Graph the line using the slope and the y-intercept, or the points.

slope:\frac{3}{2}

y-intercept:-3

5 0
3 years ago
Please help asap! Due tonight!
Contact [7]

Answer:

A, \sqrt{17}

Step-by-step explanation:

a^2 + b^2 = c^2

8^2 + b^2 = 9^2

64 + b^2 = 81

b^2 = 17

b = \sqrt{17}

4 0
3 years ago
Read 2 more answers
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