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3 years ago

If f is a function, then f(3x)=3f(x)

1 answer:

7 0

This is false.
The f(3x) means you are multiplying the input 'x' by 3 before plugging into the equation.
3f(x) means you are going to multiply your answer (output) by 3 after you've plugged the input value in and gotten the output.

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A cube has a surface area of 294 square cm. Find the length of one side.

DerKrebs [107]

Since a cube has 6 sides, we can divide 294 by 6, so we have the area of one side. Since it is a cube, we can just square root that, and you get 7 cm.

6 0

3 years ago

Through: (-5, -5), slope=2/5

kakasveta [241]

For this case we have that by definition, the equation of a line in the slope-intersection form is:

$y = mx + b$

Where:

m: It is the slope

b: It is the cut point with the y axis

The slope is: $m = \frac {2} {5}$

Thus, the equation is of the form:

$y = \frac {2} {5} x + b$

We substitute the given point and find "b":

$-5 = \frac {2} {5} (- 5) + b\\-5 = -2 + b\\-5 + 2 = b\\b = -3$

Finally, the equation is:

$y = \frac {2} {5} x-3$

Answer:

$y = \frac {2} {5} x-3$

4 0

3 years ago

Examine the system of equations.

MrMuchimi

answer:

$x = - 2 \\ y = 2 \\ \\ ( - 2, \: 2)$

explanation:

$y = - \frac{1}{2} x + 1 \\ y = 2x + 6 \\ first \: equation \: add \: \frac{1}{2} from \: both \\ sides \\ \\ second \: equation \: subtract \: 2x \: from \\ both \: sides \\ \\ y + \frac{1}{2} x = 1 \\ y - 2x = 6 \\ solve \: the \: first \: equation \\ \\ y + \frac{1}{2} x = 1 \\ subtract \: \frac{x}{2} from \: both \: sides \\ \\ y = - \frac{1}{2} x + 1 \\ substitute \: - \frac{x}{2} + 1 \: for \: y \: in \: the \\ other \: equation \\ \\ - \frac{1}{2} x + 1 - 2x = 6 \\ add \: \frac{1}{2} x \: to \: 2x \\ \\ - \frac{5}{2} x + 1 = 6 \\ subtract \: 1 \: from \: both \: sides \\ \\ - \frac{5}{2} x = 5 \\ divide \: both \: sides \: by \: - \frac{5}{2} \\ \\ x = - 2 \\ substitute \: the \: value \: of \: x \: into \\ an \: equation \\ \\ y = - \frac{1}{2} ( - 2) + 1 \\ distribute \\ \\ y = 1 + 1 \\ add \\ \\ y = 2 \\ \\ ( - 2, \: 2)$

7 0

3 years ago

Please someone help me

Vanyuwa [196]

1.
1/4 is less then 2/4 or 1/2so if the denominator is equal it will be easier to multiply

3 0

3 years ago

Use the model to complete the number sentence 1/2

VladimirAG [237]

That is one half also 1/2 if this was not what u where looking for then just tell me

8 0

3 years ago