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velikii [3]
3 years ago
8

If y varies directly as x and y=12 when x=c what is y in terms of c when x=8

Mathematics
1 answer:
tatiyna3 years ago
8 0

"y varies directly as x" means y = kx

you do not know what k is yet, other than that it is some constant number.

Now plug in the given values, y=12 when x=4, in the equation

12 = 4k

=> k = 3

Now rewrite the equation with the k value you just found

y = 3k

Substitute 18 in place of x

y = 3(18)

y = 54

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The wind force f on a sail varies jointly as the area a of the sail and the square of the wind speed w.
blondinia [14]

Answer:

  122.5 lbs

Step-by-step explanation:

The relation between force, wind speed, and area can be written ...

  f = ks²a

for some wind speed s and area a.

__

The constant of proportionality, k, can be found from the given data.

  64.8 = k(18²)(500) . . . force in pounds, area in square feet, speed in mph

  k = 64.8/(324×500) = 0.0004

__

Using the equation with the second set of data, we have ...

  f = 0.0004(35²)(250) = 122.5 . . . . pounds

The force on the 250 square foot sail would be 122.5 pounds.

4 0
2 years ago
F(x) = 4x+3x<br> g(x) = 2x-5<br> 7. Find (f+9) (x) <br> 8. Find (f - g) (x)
notka56 [123]

Answer:

7. (f+g)(x) = 6x - 2

8. (f-g)(x) = 2x + 8

Step-by-step explanation:

We are given two function, f(x) and g(x).

We want to find their addition and their subtraction, and we do this combining like terms.

The functions are:

f(x) = 4x + 3

g(x) = 2x - 5

7. Find (f+9) (x)

4x + 3 + 2x - 5 = 4x + 2x + 3 - 5 = 6x - 2

So

(f+g)(x) = 6x - 2

8. Find (f - g) (x)

4x + 3 - (2x - 5) = 4x + 3 - 2x + 5 = 4x - 2x + 3 + 5 = 2x + 8

So

(f-g)(x) = 2x + 8

3 0
2 years ago
Write a slope intercept equation for a line that passes through (-2,5) and (2,-7)
wlad13 [49]

Slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept.

First, find slope using the given coordinates. Formula for slope: y₁ - y₂ / x₁ - x₂.

Our coordinates are (-2, 5) and (2, -7). Plug them in and simplify.

5 - (-7) / -2 - 2

5 + 7 / -4

12/-4

-3

The slope is -3. The equation becomes y = -3x + b.

To find b, plug an (x, y) coordinate on the line in for x and y in the equation and solve. I'll use (-2, 5)

y = -3x + b

5 = -3(-2) + b

5 = 6 + b

-1 = b

The y-intercept is (0, -1). The equation can now be completed!

<h3>Answer:</h3>

y = -3x - 1

7 0
3 years ago
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Scorpion4ik [409]
I think it would be JK but im not really sure
8 0
3 years ago
Which step comes first? 12÷3•(15-6)+3​
bagirrra123 [75]
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3 years ago
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