All categories

3 years ago

F(x) = x2 - 4x – 8, Graph

Mathematics

1 answer:

Tema [17]3 years ago

6 0

Answer:

-2x-8

2x= -8

x = -4

( x - 2 )(x + 2 )

x=2

x= -2

You might be interested in

Question 1

Oliga [24]

Where are the choices

6 0

3 years ago

HELP PLEASE THANK U BAES

Ksenya-84 [330]

Answer:

Step-by-step explanation:

y-y1=m(x-x1)

y1= y-coordinate of a point

(-2,1)

the y-coordinate is 1

4 0

3 years ago

A laptop company claims up to 8.1 hours of wireless web usage for its newest laptop battery life. However, reviews on this lapto

natka813 [3]

Answer:

0.0918 = 9.18% probability that the battery life is at least 8.1 hours.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean 7.5 hours

This means that $\mu = 7.5$

Standard deviation 27 minutes.

An hour has 60 minutes, which means that $\sigma = \frac{27}{60} = 0.45$

What is the probability that the battery life is at least 8.1 hours?

This is 1 subtracted by the p-value of Z when X = 8.1. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{8.1 - 7.5}{0.45}$

$Z = 1.33$

$Z = 1.33$ has a p-value of 0.9082.

1 - 0.9082 = 0.0918

0.0918 = 9.18% probability that the battery life is at least 8.1 hours.

8 0

3 years ago

Suppose your friends parents invest $10,000 in an account paying

Lisa [10]

Answer:

$14025.52

Step-by-step explanation:

The Total amount after a compound interest can be calculated using the formula:

$T = P(1 + \frac{R}{100})^{n}$

where P is the amount of deposit, R is the rate of interest, n is the duration.

Hence by substituting the values, we get:

$T = 10 000(1 + \frac{7}{100})^{5}$

T = $14025.52 (nearest cent)

5 0

3 years ago

The sum of four times a first number and a second number is 68. If the first number is decreased by twice the second number the

tia_tia [17]

The first number is 15 and the second number is 8.

Step-by-step explanation:

Let us assume,

First number be 'x'.
Second number be 'y'.

Given :

Sum of four times a first number and a second number is 68.

⇒ 4x + y = 68

⇒ y = 68-4x

If the first number is decreased by twice the second number the result is -1.

⇒ x - 2y = -1

Substitute y = 68-4x in the above equation.

⇒ x - 2(68-4x) = -1

⇒ x-136+8x = -1

⇒ 9x - 136 = -1

⇒ 9x = -1+136

⇒ x = 135/9

⇒ x = 15

The first number is 15.

The second number is y = 68-4x.

⇒ y = 68 - 4(15)

⇒ y = 68-60

⇒ y = 8

The second number is 8.

8 0

3 years ago