Answer:
Vertical stretch by a factor of 6
Step-by-step explanation:
Multiplying the function value by a constant moves its y-coordinate farther away from the x-axis by that factor. It causes a vertical stretch. Here, ...
the vertical stretch factor is 6
Answer:
The given situation is in direct variation.
The dependent variable is the distance covered and the independent variable is the number of hours.
Step-by-step explanation:
We are given the following information in the question:
Steve drove 300 miles in 5 hours.
After stopping for gas, he drove an additional 120 miles in 2 hours.
We calculate the ratios and if these ratios are equal then, we can say that the situation represent a direct variation.
For direct variation, the equation is of the form y = kx that is , we can write,

To check the ratio:

Thus, the given situation is in direct variation.
The dependent variable is the distance covered and the independent variable is the number of hours.
The longest side of a right triangle is the hypotenuse.
The hypotenuse of a right triangle needs to equal the square root of the sum of the two sides Squared of the triangle. This is Known as the Pythagorean theorem.
Hypotenuse = sqrt( 12^2 + 30^2)
= sqrt(144 + 900)
= sqrt(1044)
=32.31
45 is greater than 32.31
Step-by-step explanation:
0.4 x + 3.9 = 5.7
hope 0.4 x = 5.78 - 3.9
0.4x = 1.88
x = 1.88/0.4
x = 4.7
4n + 6 - 2n = 2(n + 3)
Simplify.
4n + 6 - 2n = 2n + 6
Subtract 6 from both sides.
4n - 2n = 2n + 6 - 6
Subtract 2n from both sides.
4n - 2n - 2n = 6 - 6
Simplify.
0 = 0
Therefore, there are infinite solutions.
~Hope I helped!~
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