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1 year ago

Given f (x) = -3 + 5, solve for x when f (x) = -4

Mathematics

2 answers:

Svetllana [295]1 year ago

6 0

Answer:

x = 3

Step-by-step explanation:

Hello!

Think of this as a linear equation: y = -3x + 4.

If f(x) = -4, it means that y = -4.

Plug in the value for y and solve for x.

<h3>Solve</h3>

f(x) = -3x + 5
y = -3x + 5
-4 = -3x + 5
-9 = -3x
3 = x

The value of x is 3.

bezimeni [28]1 year ago

4 0

The value of x when f(x) = -4 is 3

<h3>How to solve the function?</h3>

The function is given as:

f(x) = -3x + 5

When f(x) = -4, we have:

-4 = -3x + 5

Subtract 5 from both sides

-3x = -9

Divide both sides by -3

x = 3

Hence, the value of x when f(x) = -4 is 3

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Conduct the appropriate hypothesis test and compute the test statistic. A company that produces fishing line undergoes random te

andre [41]

Answer:

Option D) Yes, because the test statistic is -2.01

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 30 pound

Sample mean, $\bar{x}$ = 29.1 pounds

Sample size, n = 20

Alpha, α = 0.05

Sample standard deviation, s = 2 pounds

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 30\text{ pounds}\\H_A: \mu < 30\text{ pounds}$

We use one-tailed(left) t test to perform this hypothesis.

Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{29.1 - 30}{\frac{2}{\sqrt{20}} } = -2.012$

Now,

$t_{critical} \text{ at 0.05 level of significance, 19 degree of freedom } = -1.729$

Since,

$t_{stat} < t_{critical}$

We fail to accept the null hypothesis and reject it. We accept the alternate hypothesis. Thus, there were enough evidence to conclude that the fishing line breaks with an average force of less than 30 pounds.

Option D) Yes, because the test statistic is -2.01

5 0

3 years ago

Plzzzzz help …. T understand

bazaltina [42]

Pythagorean Theorem: a^2 + b^2 = c^2
a = 6
c = 9
b = ?
6^2 + b^2 = 9^2
36 + b^2 = 81
b^2 = 81 - 36
b^2 = 45
b = sqrt(45)
b = 6.71 miles

3 0

2 years ago

Why was I wrong why is this right

shutvik [7]

Answer:

Idk?

Step-by-step explanation:

3 0

3 years ago

3 less than a number p is 25

Goryan [66]

Answer:

The number is 28

Step-by-step explanation:

<u>Step 1: Make an expression </u>

$p - 3 = 25$

<u>Step 2: Add 3 to both sides </u>

$p - 3 + 3 = 25 + 3$

$p = 28$

Answer: The number is 28

5 0

2 years ago

I need help please?!!

Arisa [49]

Answer:9

Step-by-step explanation:

3(5-2)

15-6

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3 years ago