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4 years ago

How do the graphs of f(x)=x^3 and g(x)=(1/3x)^3 relate?

2 answers:

6 0

<span>Graph of g(x) is the transformation of the graph of f(x) The graph of f(x) is: while of g(x) is graphed We can see the g(x) is f(x) after a reflection on the y-axis and a horizontal compression by a factor of 1/3
</span>

Romashka [77]4 years ago

4 0

Both graphs have the same exponential degree of 3. The only difference between the two is that g(x) is expanded to a scale factor of 3, due to the coefficient being 1/3.

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An employee earns a 12% commission rate on the cameras he sells. If he earns $384 in commission, what were his total sales?

Vlad1618 [11]

I do questions like these a little different than most people so...

384/12= 32 (32 is 1% of his sales)
32*100= 3200

His total sales were $3200.

4 0

3 years ago

Read 2 more answers

At a historical landmark, candles are used to simulate an authentic atmosphere. A volunteer is currently putting new candles in

myrzilka [38]

Answer:

Each small candleholder holds 3 candles, and each large one holds 5 candles.

Step-by-step explanation:

This question can be solved by a system of equations.

I am going to say that:

x is the number of candles that a small candleholder holds.

y is the number of candles that a large candleholder holds.

24 small candle holders and 3 large candle holders, using a total of 87 candles.

This means that

$24x + 3y = 87$

Simplifying by 3

$8x + y = 29$

$y = 29 - 8x$

14 small candle holders and 7 large candle holders, for a total of 77 candles.

This means that $14x + 7y = 77$

Simplifying by 7

$2x + y = 11$

$y = 11 - 2x$

Since $y = 29 - 8x$

$11 - 2x = 29 - 8x$

$6x = 18$

$x = \frac{18}{6}$

$x = 3$

$y = 29 - 8x = 29 - 8*3 = 29 - 24 = 5$

Each small candleholder holds 3 candles, and each large one holds 5 candles.

5 0

3 years ago

(-9) + (-4) =

Gwar [14]

$\\ \bull\sf\longmapsto -9+(-4)=-9-4=-13$

$\\ \bull\sf\longmapsto +3-(-5)=3+5=8$

$\\ \bull\sf\longmapsto 2\times 2=4$

$\\ \bull\sf\longmapsto 36+4=40$

$\\ \bull\sf\longmapsto 5\times 7=35$

$\\ \bull\sf\longmapsto 8(9)=72$

$\\ \bull\sf\longmapsto -4+(-2)=-4-2=-6$

$\\ \bull\sf\longmapsto 3-(-6)=3+6=9$

$\\ \bull\sf\longmapsto -6(-3)=18$

$\\ \bull\sf\longmapsto -4+(-4)=-4-4=-8$

$\\ \bull\sf\longmapsto 5(7)=35$

$\\ \bull\sf\longmapsto 4-(-5)=4+5=9$

$\\ \bull\sf\longmapsto 4-3=1$

$\\ \bull\sf\longmapsto 10+5=15$

$\\ \bull\sf\longmapsto 3(8)=24$

7 0

3 years ago

Question 6 of 37 write the equation in slope-intercept form. what are the slope and y-intercept? –12x + 11y = –8

Eddi Din [679]

Solve for y. Do that by adding the opposite of the x-term, then dividing by the coefficient of y.
11y = 12x - 8
y = (12/11)x - 8/11

The slope is 12/11.
The y-intercept is -8/11.

8 0

3 years ago

Cancel help me with these two problems

Alex_Xolod [135]

4. To solve this problem, we must simply subtract the volume of the smaller box from the volume of the larger box. The formula for volume of a rectangular prism is length * width * height. So we know that the bigger box has a height of 20 inches, a length of 15 inches, and a height of 9 inches. We can multiply these together to get the volume.

20 * 15 = 300

300 * 9 = 2700

The bigger box has a volume of 2,700 cubic inches.

Now for the smaller box. This box has a length of 12 inches, a width of 8 inches, and a height of 4 inches. Let us multiply this together:

12 * 8 = 96

96 * 4 = 384

The smaller box has a volume of 384 cubic inches.

Now, we just need to subtract.

2700 - 384 = 2316

There are 2,316 cubic inches of space left in Jeff's bigger box.

5. Mrs. Nelson has plans for a flower box that has two constant side lengths, the length and height (5 feet and 2 feet). The width can be any whole number (counting number) only up to 5 feet, so there are 5 different volumes she could have. Those are:

5 * 2 * 1 = 10 cubic feet

5 * 2 * 2 = 20 cubic feet

5 * 2 * 3 = 30 cubic feet

5 * 2 * 4 = 40 cubic feet

and

5 * 2 * 5 = 50 cubic feet

The possible volumes for Mrs. Nelson's flower box are 10, 20, 30, 40, and 50 cubic feet.

So there you have it!
Hope that helped! =)

3 0

3 years ago