Find an equivalent function to f(x) = 5(3)3x.

Answers

Answer 1

Answer: Question: f(x) = 5(3)^(3x)
Explanation/Steps: f(x) = 5(3)^(3x) = 5(3^(3x)) = 5(27)^x = 5(27)x
Answer: f(x) = 5(27)x.

Good luck~

Answer 2

Answer:

Step-by-step explanation:

An equivalent function to 5(3)^3x is Answer C. F(x) = 5(27)x

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Solve equation 2x^{2}−5x−7 = 0 by using the quadratic formula. Then write 2x^{2}−5x−7 in form of a(x−r_{1})(x−r_{2}).

Answers

$2x^2+2x-7x-7=2x(x+1)-7(x+1)=(2x-7)(x+1)=\n \n=2(x-3.5)(x+1)\n \n2x^2-5x-7=0\ \ \ \Leftrightarrow\ \ \ 2(x-3.5)(x+1)=0\n \nx-3.5=0\ \ \vee\ \ \ x+1=0\n \n.\ \ \ \ \ \ \ x=3.5\ \ \ \ \ \ \ \ \ \ \ x=-1$

The graph below shows the velocity f(t) of a runner during a certain time interval:graph of line segment going through ordered pairs 0, 6 and 6, 8. Graph of another line segment going through the ordered pairs 6, 8 and 8, 0. Label on the x axis is time in seconds and label on the y axis is velocity in meters per second

Which of the following describes the intercepts on the graph?

The initial acceleration of the runner was 8 m/s2, and the runner stopped after 6 seconds.

The initial acceleration of the runner was 6 m/s2, and the runner stopped after 8 seconds.

The initial velocity of the runner was 8 m/s, and the runner stopped after 6 seconds.

The initial velocity of the runner was 6 m/s, and the runner stopped after 8 seconds.

Answers

When graphs are plotted, graphs as in the .jpeg image in attachment are obtained.
First graph is line going through ordered pair (point) (0,6) and pair (6,8).
The second graph is line going through ordered pair (6,8) and pair (8,0).
Intercept of these graphs is point (ordered pair) (6,8).
You see from the .jpeg image that the following is true:
Initial velocity of the runner is 6 meters per second (runner starts with this velocity), for a while he runs, velocity grows, then in the 6th second (time=6), runner starts to slow down and velocity starts to decrease, and runner stops totally at time = 8.
So runner stops after 8 seconds.
The 4th claim (sentence) is correct.

First you draw the graph described by the problem to see a better picture of the situation. From the problem the points on the graph are (0,6), (6,8) and (8,0). The first point meant that at time zero the velocity is 6m/s. Then when time is at 8 sec the velocity is zero. The answer to the question is the last choice.

Evaluate 4x-3y+(7x-7y) for x = 6 and y =-1

Answers

$for\ \ x = 6\ \ and\ \ y =-1\n\n4x-3y+(7x-7y)=4x+7x-3y-7y=11x-10y=\n\n=11\cdot 6-10\cdot (-1)=66+10=76$

Answer: 76

Step-by-step explanation:

HELP! a square field has an area of 479 ft squared. what is the approximate length of a side of the field? give your answer to the nearest foot. explain your answer.

Answers

An area of a square is side multiplied by side, so since 479 is the area you would square root it. that would give you 21.88606862823929, just round that up to 22 feet and you got the approximate side length! so there ya go! good luck!

Final answer:

The problem involves finding the side length of a square field given its area. The side length is found by taking the square root of the area. Rounded to the nearest foot, the side length is approximately 22 feet.

Explanation:

The subject here is Mathematics, specifically focusing on geometry. More specifically, the problem is addressing the characteristics of square fields. A square is a shape which has all sides equal in length. The area of a square is calculated by squaring the length of one side (i.e., side * side) or more visually demonstrated as side2.

Given that the area of the square is 479 square feet, you need to find the length of one side. To do this, you would take the square root of the area, because the area of a square field is side2.

Mathematically expressed, this would be:

Side length = √Area
Side length = √479

Using a calculator, you will find the square root of 479 is approximately 21.89. We are asked to give the answer to the nearest foot, so you would round 21.89 to the nearest whole number to get 22 feet. Therefore, the approximate length of a side of the field is 22 feet.

Learn more about Square root here:

brainly.com/question/1540542

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26.
What is the solution to. y - 9 > 4 + 2y?

HELP. answer if you can!

Answers

Answer:

y<−13

y−9>4+2y

Simplify both sides of the inequality

y−9>2y+4

Subtract 2y from both sides

y−9−2y>2y+4−2y

−y−9>4

Add 9 to both sides.

−y−9+9>4+9

−y>13

The divide both sides by -1

Answer:

$\boxed{y < -13}$

Step-by-step explanation:

Hey there!

To solve for y we‘ll combine like terms and use the communicative property.

y - 9 > 4 + 2y

+9 to both sides

y > 13 + 2y

-2y to both sides

-y > 13

Divide -1 by both sides

y < -13

Hope this helps :)

Which is equal to 7/25? 0.70 0.70 0.28 0.28 0.07 0.07 0.35 answer

Answers

Answer:

0.28

Step-by-step explanation:

7/25 is 0.28, you can do this on a calculator OR

25*4=100, that will get you the decimal when you do 7*4 and get 28, then turn it back into a decimal by dividing by 100

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