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2 years ago

WHAT IS THE VALUE OF X?

Mathematics

1 answer:

Tanzania [10]2 years ago

7 0

It is a similar triangle so the side length of the smaller triangle (x and x-2) are in the same ratio as the bigger triangle (2x+5 and 2x-1). As the ratio is the same, you can equate them and solve for x.

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Given f (g (x)) = x + 4 and f (x) = 3x + 5, find g (x).

JulijaS [17]

Answer:

g(x) = $\frac{1}{3}(x - 1) = \frac{x}{3} - \frac{1}{3}$

Step-by-step explanation:

f(x) = 3x + 5

f[g(x)] = 3[g(x)] + 5

⇒ 3[g(x)] + 5 = x + 4

⇒ 3[g(x)] = x + 4 - 5

⇒ 3[g(x)] = x - 1

⇒ g(x) = $\frac{1}{3}(x - 1) = \frac{x}{3} - \frac{1}{3}$

5 0

2 years ago

11 students went on a trip to New York City. 3 of them visited the Statue of Liberty. What fraction of the students visited the

Ne4ueva [31]

so since only 3 out of 11 went to visit then it is simple

since just 3 went and there were 11

3/11 of the students went

5 0

3 years ago

Read 2 more answers

10>29-3b Please help and explain your answer I will mark Brainlyest

Marta_Voda [28]

Step 1 , switch sides - 29-3b<10
step 2 , subtract 29 from both sides - -3b< -19
step 3 , multiply both sides by -1 - 3b > 19
step 4 (answer) - divide by 3 = 19/3

7 0

3 years ago

What are the kinds of triangles

Elan Coil [88]

Isosceles triangle scalene triangle and equaliteral triangle

5 0

2 years ago

Read 2 more answers

Which score indicates the highest relative position? I. A score of 2.6 on a test with X = 5.0 and s = 1.6 II. A score of 650 on

Zanzabum

Answer:

A score of 2.6 on a test with $\bar X$ = 5.0 and s = 1.6 and A score of 48 on a test with $\bar X$ = 57 and s = 6 indicate the highest relative position.

Step-by-step explanation:

We are given the following:

I. A score of 2.6 on a test with $\bar X$ = 5.0 and s = 1.6

II. A score of 650 on a test with $\bar X$ = 800 and s = 200

III. A score of 48 on a test with $\bar X$ = 57 and s = 6

And we have to find that which score indicates the highest relative position.

For finding in which score indicates the highest relative position, we will find the z score for each of the score on a test because the higher the z score, it indicates the highest relative position.

The z-score probability distribution is given by;

Z = $\frac{X-\bar X}{s}$ ~ N(0,1)

where, $\bar X$ = mean score

s = standard deviation

X = each score on a test

The z-score of First condition is calculated as;

Since we are given that a score of 2.6 on a test with $\bar X$ = 5.0 and s = 1.6,

So, z-score = $\frac{2.6-5}{1.6}$ = -1.5 {where $\bar X = 5.0$ and s = 1.6 }

The z-score of Second condition is calculated as;

Since we are given that a score of 650 on a test with $\bar X$ = 800 and s = 200,

So, z-score = $\frac{650-800}{200}$ = -0.75 {where $\bar X = 800$ and s = 200 }

The z-score of Third condition is calculated as;

Since we are given that a score of 48 on a test with $\bar X$ = 57 and s = 6,

So, z-score = $\frac{48-57}{6}$ = -1.5 {where $\bar X = 57$ and s = 6 }

AS we can clearly see that the z score of First and third condition are equally likely higher as compared to Second condition so it can be stated that A score of 2.6 on a test with $\bar X$ = 5.0 and s = 1.6 and A score of 48 on a test with $\bar X$ = 57 and s = 6 indicate the highest relative position.

7 0

3 years ago