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olga nikolaevna [1]
3 years ago
9

At which root does the graph of f(x) = (x – 5)3(x + 2)2 touch the x-axis?

Mathematics
1 answer:
Sauron [17]3 years ago
5 0

Answer:

x = -2

Step-by-step explanation:

The root will touch the axis and bounce off when the exponent is even. In that case, that means (x + 2)² is the binomial that will bounce. Therefore, the root which bounces and touches the x-axis is x = -2.

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Shayla's rideshare fare from the airport was $28.50, and she added a 15% tip. How much did Shayla pay in total
Elodia [21]
15 percent of 28.50 is 4.275
So 28.50 + 4.275 = 32.775
So $32.77
8 0
3 years ago
If f(x + 2) = 6x2 + 5x − 8. Find f(6).
Blababa [14]

Answer:

  108

Step-by-step explanation:

We can rewrite f(x+2) to make it easier to evaluate:

  f(x+2) = (6x +5)x -8

Since we want f(6), we want x+2 = 6, or x=4.

  f(6) = (6·4 +5)·4 -8 = 29·4 -8

  f(6) = 108

6 0
3 years ago
Solve each equation for the given variable. Use inverse operations to solve each equation.
andre [41]
X = 15

Inverse operations would be + 5 to the -5 which cancels that out, & adding 5 to the 15 which gives you 15
4 0
3 years ago
in a square garden plot (with an area of 400 sq ft)deer fencing priced at $1.50 per foot is to be installed around the plot. if
mina [271]

We have a square garden of 400 square foot.

The area of a square is:

A=x^2

where x: side length.

In this case:

\begin{gathered} A=400=x^2 \\ x=\sqrt[]{400}=20\text{ ft} \end{gathered}

The perimeter of the square is the sum of the lengths of the sides of the square. As they are all equal, we can write:

P=4x=4\cdot20=80\text{ ft}

The fencing is priced at $1.50 per foot. If we add the 7% sales tax to this price we get:

C=1.50\cdot(1+0.07)=1.50\cdot1.07=1.605\text{ \$/ft}

The fencing will be installed in all the perimeter (80 ft).

We can calculate the total cost by multiplying the sales price ($1.605 per foot) and the perimeter (80 ft):

F=C\cdot P=1.605\frac{\text{\$}}{\text{ft}}\cdot80\text{ ft}=\$128.40

Answer: the fencing will cost a total of $128.40

8 0
1 year ago
Help i’ll give brainliest!
Murljashka [212]
F would be 1. G would be 4. E would be negative 3
4 0
2 years ago
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