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ryzh [129]
3 years ago
9

Given the function f(x) = 0.5(3)x, what is the value of f−1(7)? 1) 0.565 2) 1.140 3) 1.771 4) 2.402

Mathematics
2 answers:
murzikaleks [220]3 years ago
6 0

Answer:7=0.5 |x-4| -3

+3                +3

10=0.5 |x-4|

10/0.5=0.5/0.5 |x-4|

20=|x-4|

            ^

-20=x-4   20=x-4

 +4    +4    +4    +4

-16=x       24=x

The answers are -16=x and 24=x

Hope this helps, an if it pleases you put as the brainliest answer!

Read more on Brainly.com - brainly.com/question/3508210#readmore

Step-by-step explanation:

myrzilka [38]3 years ago
5 0
Y = .5(3)x = 1.5x
The inverse is x = 1.5 y which is f^-1(x)
Then y = x/1.5
f^-1(7) = 7/1.5 = 14/3 which is not an answer.
Is the problem written correctly.
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Which expression is equivalent to this expression? x(2x+3) Question 1 options: 2x2+3 2x2+3x 2x2−3x 3x + 3
sleet_krkn [62]

Answer:

2x^2+3x is the expression which is equivalent to  x\left(2x+3\right).

In other words:

x\left(2x+3\right)=2x^2+3x

Step-by-step explanation:

Given the expression

x\left(2x+3\right)

solving

x\left(2x+3\right)

\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac

a=x,\:b=2x,\:c=3

=x\cdot \:2x+x\cdot \:3

=2xx+3x

=2x^2+3x            ∴  2xx=2x^2

Thus,

x\left(2x+3\right)=2x^2+3x

Therefore, 2x^2+3x is the expression which is equivalent to  x\left(2x+3\right).

8 0
3 years ago
In a homicide case 6 different witnesses picked the same man from a line up. The line-up contained 5 men. If the identifications
Vedmedyk [2.9K]

Answer:

since we have 6 witnesses and 5 men so,

therefore the probability that they would pick the same man is \frac{5}{6} =0.83333 to 5 decimal places

Step-by-step explanation:

probability is the likelihood of an event occurring or not happening.

6 0
3 years ago
Simplify the expressions by combining like terms<br><br> 10r - 5r + 3r - 8r
Yuri [45]

Answer:

0

Step-by-step explanation:

Combine like terms, perform the operations with the coefficients of the variable, then write the variable.

10r - 5r + 3r - 8r

= 5r + 3r - 8r

= 8r - 8r

= 0

7 0
2 years ago
Read 2 more answers
GC = 4x + 5, CF = 3x – 2, and GF = 24. What is the value of x?
Aleonysh [2.5K]
G = F(4x+5)/ 3x-2
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6 0
3 years ago
A phone manufacturer wants to compete in the touch screen phone market. He understands that the lead product has a battery life
alisha [4.7K]

Answer:

a)

The null hypothesis is H_0: \mu \leq 10

The alternative hypothesis is H_1: \mu > 10

b-1) The value of the test statistic is t = 1.86.

b-2) The p-value is of 0.0348.

Step-by-step explanation:

Question a:

Test if the battery life is more than twice of 5 hours:

Twice of 5 hours = 5*2 = 10 hours.

At the null hypothesis, we test if the battery life is of 10 hours or less, than is:

H_0: \mu \leq 10

At the alternative hypothesis, we test if the battery life is of more than 10 hours, that is:

H_1: \mu > 10

b-1. Calculate the value of the test statistic.

The test statistic is:

We have the standard deviation for the sample, so the t-distribution is used to solve this question

t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, s is the standard deviation and n is the size of the sample.

10 is tested at the null hypothesis:

This means that \mu = 10

In order to test the claim, a researcher samples 45 units of the new phone and finds that the sample battery life averages 10.5 hours with a sample standard deviation of 1.8 hours.

This means that n = 45, X = 10.5, s = 1.8

Then

t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}

t = \frac{10.5 - 10}{\frac{1.8}{\sqrt{45}}}

t = 1.86

The value of the test statistic is t = 1.86.

b-2. Find the p-value.

Testing if the mean is more than a value, so a right-tailed test.

Sample of 45, so 45 - 1 = 44 degrees of freedom.

Test statistic t = 1.86.

Using a t-distribution calculator, the p-value is of 0.0348.

5 0
2 years ago
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