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2 years ago

F(x)=-3x+19, what is the value of x for which f(x) = 4

Mathematics

1 answer:

bekas [8.4K]2 years ago

6 0

Answer:

x = 5

Step-by-step explanation:

Given: f(x) = -3x + 19

f(x) = 4

1. Substitute f(x) = 4 into f(x) = -3x + 19:

⟹ 4 = -3x + 19

2. Add 3x to both sides:

4 + 3x = -3x + 3x + 19

⟹ 3x + 4 = 19

3. Subtract 4 from both sides:

3x + 4 - 4 = 19 - 4

⟹ 3x = 15

4. Divide both sides by 3:

3x ÷ 3 = 15 ÷ 3

⟹ x = 5

5. Check your work:

4 = -3x + 19

4 = -3(5) + 19

4 = -15 + 19

⟹ 4 = 4 ✔

Learn more here:

brainly.com/question/24278473

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The operations manager of a large production plant would like to estimate the mean amount of time a worker takes to assemble a n

xz_007 [3.2K]

Answer:

(15,595, 16,805)

Step-by-step explanation:

We have to:

m = 16.2, sd = 3.75, n = 150

m is the mean, sd is the standard deviation and n is the sample size.

the degree of freedom would be:

n - 1 = 150 - 1 = 149

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at 95% confidence level the t is:

alpha = 1 - 95% = 1 - 0.95 = 0.05

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replacing:

E = 1,976 * 3.75 / (150 ^ (1/2))

E = 0.605

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4 years ago

1. Let C be between D and E. Use the Segment addition Postulate to solve for v.

AURORKA [14]

By applying the segment addition postulate, the <u>value of v = 7</u>

According to the Segment Addition Postulate, it holds that if point C is between points D and E, therefore:

DC + CE = DE

Given that:

$DC = 2v-15\\\\CE = 3v-8\\\\DE = 27$

Therefore, by substitution, we will have the following equation:

$(2v-15) + (3v-8) = 27$

Open the bracket and solve for the value of v.

$2v-15 + 3v-8 = 27$

Add like terms

$5v - 23 = 27$

Add 23 to both sides

$5v - 23+ 23 = 27 + 23\\\\5v = 50$

Divide both sides by 5

v = 10

Therefore, using the segment addition postulate, the <u>value of v = 10</u>

Learn more about the segment addition postulate here:

brainly.com/question/1721582

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