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Veronika [31]
3 years ago
15

If g(x) = 3(x - 2), find the value of x if g(x) = 6. (2 points)

Mathematics
1 answer:
Lera25 [3.4K]3 years ago
6 0

Answer:

4

Step-by-step explanation:

g(x) = 3(x-2)

g(x) = 6

6 = 3(x-2).     3(x-2) = 3x-6

  1. add six to both sides, so the equation would be 12 = 3x
  2. divide both sides by 3, so the equation would be 4 = x

So the final answer is x = 4

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gtnhenbr [62]

A line perpendicular to y = -2x + 5 will have an equation in the form of:

y = (1/2)x + b

Since the graph must intersect (-2,9), we plug in this point to solve for b.

9 = (1/2)*(-2) + b

9 = -1 + b

10 = b

So the equation is:

y = (1/2)x + 10

The answer is A.

7 0
3 years ago
PLEASE HELP{ WILL GIVE BRAINLIEST
Volgvan

Answer:

\approx10.29\text{ feet}

Step-by-step explanation:

Please refer to the attachment.

By AA Similarity, the two triangles are similar.

Therefore, corresponding parts of them are proportional.

Therefore, we can write the following proportion:

\frac{7}{24}=\frac{3}{x+3}

We will solve for x. Cross-multiply:

7(x+3)=24(3)

Distribute:

7x+21=72

Subtract 21 from both sides:

7x=51

Divide both sides by 7. So, the value of x is:

x\approx7.2857

However, that is only the value of x.

The shadow of the tree is (x+3).

Hence, we will need tot add 3 to our value. Therefore, the actual length of the shadow of the tree is approximately:

\approx10.2857\approx10.29\text{ feet}

7 0
3 years ago
Awesome Almonds wants to see if their new almond flavor is enjoyed more by high school or middle school students. They decide to
lidiya [134]
The sample of the population consists of those that were surveyed; therefore,

<span>All students who attend one middle school and one high school in Houston, TX
</span>
6 0
4 years ago
Read 2 more answers
Justin puppy gained a total of 14 pounds in three months. The puppy gained an equal amount of weight each month. how much weight
Artyom0805 [142]
The puppy gained 42 pounds because 14×3=42
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3 years ago
Please help!<br> A- answer as a percent rounded to nearest tenth<br> B- answer as a fraction
Licemer1 [7]

a)  the Probability p( red, red, red) is 0.83%.

b) the probability p(white, red, white) is 0.

<u>Step-by-step explanation:</u>

The total number of marbles = 3+6+1.

                                                =10.

a) to find the Probability p( red, red, red).

p( red, red, red)= \frac{3C_{3} }{10C_{3}}.

p( red, red, red)=\frac{3}{10}×\frac{2}{9}×\frac{1}{8}.

p(red,red,red)= 0.0083.

p(red,red,red)=0.83%

b)to find the probability p(white, red, white).

p(white, red, white) is 0.

Since there is only one white.

6 0
3 years ago
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