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Tanya [424]
3 years ago
5

Find the exact solution to the equation. 5^(6-2x) = 25

Mathematics
1 answer:
STatiana [176]3 years ago
3 0

Answer:

x = 2

Step-by-step explanation:

Note that 25 = 5² , then

5^{(6-2x)} = 5²

Since the bases on both sides are 5 then equate the exponents

6 - 2x = 2 ( subtract 6 from both sides )

- 2x = - 4 ( divide both sides by - 2 )

x = 2

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Which point is a solution to the inequality shown in this graph?
kykrilka [37]

Answer:

The only solution can be (0,-3) point.

Step-by-step explanation:

We have to judge whether the points in options are the solution to the graphed inequality or not.

The first point is (5,-5) which not included in the shaded region of the graph. Hence, it can not be a solution.

The second point is (6,0) which not included in the shaded region of the graph. Hence, it can not be a solution.

The third point is (0,-5) which not included in the shaded region of the graph. Hence, it can not be a solution.

The fourth point is (0,-3). It is on the firm red line which is included in the shaded region of the graph. Hence, it is a solution.

Therefore, the only solution can be (0,-3) point. (Answer)

5 0
3 years ago
3x-2y=-1. <br> Y=-x+3. <br> Is (1,2) a solution do the system?
andrew-mc [135]

Answer:

Yes

Step-by-step explanation:

To figure out if (1,2) is a solution to the system, we can plug the values in and see if it is true.

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3-4=-1

-1=-1

It is true for this equation. Now let's check the next one.

y=-x+3

2=-(1)+3

2=2

Since both equations are true when we plug the values in, (1,2) is a solution to the system.

8 0
3 years ago
Read 2 more answers
If f(x)=|x+2| is changed to g(x)=3f(x)+4, how is the graph of the function transformed?
frozen [14]

Answer:

download photomath it will help u with any type of math

3 0
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(1/4)^-2 - (5^0) • 1^-1 =
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Answer:

15

Step-by-step explanation:

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Suppose sarah is trying to design a metal box (a rectangular prism), which will hold 450 cubic centimeters of liquid. the length
schepotkina [342]
<span>So, the volume of a container can also be thought of as the amount of liquid that the container is capable of holding. It follows that 450=(length)(width)(height). The constraints of the problem say that the length of the box must be twice as large as the width, so it follows that j(height)=(2w)(w)(height)-450. This then implies that j(height)=(2w^2)(height)-450. In simpler terms, the height is defined as 450/(2w^2), or j(w)=450/(2w^2).</span>
5 0
3 years ago
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