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r-ruslan [8.4K]
3 years ago
5

I need help with this math question :(

Mathematics
1 answer:
Ray Of Light [21]3 years ago
8 0

Answer:

k = 5,

y = 5x

Step-by-step explanation:

If y is proportional to x,

y ∝ x

Then the equation will be

y = kx

Her k = proportionality constant.

Now we choose a point from the given table.

Let the point is (2, 10).

By putting the values of x and y in the equation,

10 = 2×k

k = \frac{10}{2}

k = 5

This will be true for any point we choose from the table.

And the equation will be y = 5x

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Write an equation in slope-intercept form that goes through (12, 4) and (20,8).
spayn [35]

Answer:

Equation in slope-intercept form that goes through (12, 4) and (20,8) is: y = \frac{1}{2}x-2

Step-by-step explanation:

Given two points are:

(x_1,y_1) = (12,4)\\(x_2,y_2) = (20,8)

Slope intercept form of line is given as:

y = mx+b

Here m is the slope of the line and b is the y-intercept.

Slope of a line is calculated by the formula:

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

Putting the values

m = \frac{8-4}{20-12}\\m = \frac{4}{8}\\m=\frac{1}{2}

Putting the value of slope in slope-intercept form we get

y = \frac{1}{2}x+b

To find the value of b, any one point will be put in the equation

Putting the first point (12,4) in the equation

4 = \frac{1}{2}(12) + b\\4 = 6+b\\b = 4-6\\b = -2

Putting the value of b

y = \frac{1}{2}x-2

Hence,

Equation in slope-intercept form that goes through (12, 4) and (20,8) is: y = \frac{1}{2}x-2

4 0
3 years ago
What is the effect on the graph of the function f(x) = V3x when f(x) is replaced with f(x + 4)?​
andreev551 [17]

Answer:Replacing x with -x will reflect a graph across the y-axis. Multiplying x by 3 before the function is applied will compress the graph horizontally. This means the correct choice is D.

8 0
3 years ago
In blueprints an architects firm drew everything 1/24 of the actual size the windows will actually measure 4feet by 6 feet and t
stich3 [128]
To apply a scale to a measure, you have to follow this rule:

Real measure x Scale = Scaled measure

So the drawings will have:

4 x 1/24 = 0'167 feet
6 x 1/24 = 0'25 feet
<span>Windows: 0'167 by 0'25 feet
</span>
<span>12 x 1/24 = 0'50 feet
</span><span>8 x 1/24 = 0'33 feet
</span>Doors: 0'33 by <span>0'50 feet</span>
8 0
3 years ago
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What is 21 and 1/4 percent as a fraction?
Y_Kistochka [10]

Answer:

The answer is 17/80.

Step-by-step explanation:

5 0
2 years ago
Find the area of the parallelogram
iogann1982 [59]

Answer:

The answer is 32.

Step-by-step explanation:

Just multiply the height by the base length. 4*8=32

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