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2 years ago

The graphs below have the same shape. what is the equation of the red graph?

Mathematics

1 answer:

Naily [24]2 years ago

7 0

Answer:

Option D. $G(x)=x^{3}-1$

Step-by-step explanation:

we have

$F(x)=x^{3}$ -----> the parent function

The vertex of the function F(x) is the origin (0,0)

The vertex of the function G(x) is the point (0,-1)

The rule of the translation is equal to

(x,y)------> (x,y-1)

That means ------> The translation is 1 unit down

Applying the rule of the translation to F(x)

F(x)-------> G(x)

$G(x)=x^{3}-1$

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What is 4 (5×1÷20) because I dont know lol

Whitepunk [10]

Well first we need to do whatever is in the parentheses, which in this case is: (5x1/20)

Following the order of operations (PEMDAS) we start with the multiplication, which is (5x1). We know that 5x1=5, so now we can move on to the division:

5/20, which is equal to 0.25

So now that we know the answer to the equation in the parentheses is 0.25, we can solve the whole equation.

Here is the equation simplified:

4 (0.25)

Because there is now operation indicated between the 4 and the parentheses, we can assume that multiplication is implied, so the final equation is as follows:

4x0.25=1

The final answer is: 1

Hope this helps!

4 0

3 years ago

15m + 0.50 = 25m + 0.25

il63 [147K]

M = 0.025
I hope this helped you.

4 0

2 years ago

Read 2 more answers

The price of a computer component is decreasing at a rate of 15% per year. State whether this decrease is linear or exponential

Margaret [11]

Answer:

Since the price is given by an exponential function, the decline in price is exponential.

The component will cost $36.8475 in three years.

Step-by-step explanation:

The equation for the price of a component has the following format:

$P(t) = P(0)(1-r)^{t}$

In which P(t) is the price after t years, P(0) is the initial price, and r is the rate that the price decreases.

Since the price is given by an exponential function, the decline in price is exponential.

The price of a computer component is decreasing at a rate of 15% per year.

This means that $r = 0.15$

Component costs $60 today

So P(0) = 60. Then

$P(t) = P(0)(1-r)^{t}$

$P(t) = 60(1-0.15)^{t}$

$P(t) = 60(0.85)^{t}$

What will it cost in three years?

This is P(3).

$P(t) = 60(0.85)^{t}$

$P(3) = 60(0.85)^{3} = 36.8475$

The component will cost $36.8475 in three years.

6 0

2 years ago

Ummm what this ?? Helping my sister

Radda [10]

Answer:

ok this the answer By definition, a rectangle is a parallelogram because its pairs of opposite sides are parallel. A rectangle also has the special characteristic that all of its angles are right angles; all four of its angles are congruent. The other special case of a parallelogram is a special type of rectangle, a square.

Step-by-step explanation:

6 0

2 years ago

A cylinder has a diameter of 24 inches. If its height is half its radlus, what is the volume of the cylinder in cubic Inches?

ella [17]

Answer:

about 2714.34 in^3

Step-by-step explanation:

24/2=12--radius

12/2=6--height

formula is V=(pi)(r^2)(h)

r is for radius and h is for height

V=(pi)(12*12)(6)

V=(pi)(144)(6)

V=(pi)(864)

V= about 2714.34 in^3

4 0

3 years ago