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AnnyKZ [126]
2 years ago
7

Can somebody help me with this please!!

Mathematics
1 answer:
saul85 [17]2 years ago
8 0

1. -21

2. −39

3.−42

4. -5

5. −3

for the other question u can use calculator :)

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If f(x) and it’s inverse function, f^-1(x), are, both plotted on the same coordinate plane, what is their point of intersection
Korolek [52]

Answer:

Step-by-step explanation:

Hello,

there is not always an intersection point

let's take the example of on the appropriate domain

f(x)=e^x \ \ \ f^{-1}(x)=ln(x)

there is no intersection point

if there is one it means that the point (x,f(x)) and the point (x,f^{-1}(x)) is the same so that have to solve

f(x)=f^{-1}(x)

for instance if we take

f(x)=x^2 \ \ \ f^{-1}(x)=\sqrt{x} \ \ \ for \ x >= 0

intersection point are for x >= 0

x^2=\sqrt{x} x^4=xx^3=1 \ or \ x=0 x = 1 \ or \ x=0

hope this helps

8 0
3 years ago
What is the slope of the line that passes through the points (-10, 0) and (-13, 3)? Write your answer in simplest form.
Ket [755]

Answer:The slope of the line that passes through (-10, 0) and (-13, 3) is "-1".

Given points are:

As we know, the formula,

→

By substituting the above points, we get

→                

→                

→                

→                

Thus the solution is right.

Step-by-step explanation:

4 0
3 years ago
Mr.Mason takes two-thirds of his body weight and drinks that amount of gatorade in ounces per day. If Mr.Mason drinks 118 ounces
denis-greek [22]

The total weight of Mason is 177

<em><u>Solution:</u></em>

Given that, Mr.Mason takes two-thirds of his body weight and drinks that amount of gatorade in ounces per day

Mr.Mason drinks 118 ounces each day

Let "x" be the total weight of Mr.Mason

Therefore, we can say,

Two third of body weight = Amount of gatorade drank in ounces per day

Two third of x = 118

\frac{2}{3} \text{ of } = 118\\\\\frac{2}{3} \times x = 118\\\\2x = 118 \times 3\\\\2x = 354\\\\x = \frac{354}{2}\\\\x = 177

Thus total weight of Mason is 177

6 0
3 years ago
In 2008, data from the Center for Disease Control revealed that 28.5% of all male teenagers, aged 18-19 and attending U.S. colle
m_a_m_a [10]

Answer:

a) H0 : u = 28.5%

H1 : u < 28.5%

b) critical value = - 1.645

c) test statistic Z= - 1.41

d) Fail to reject H0

e) There is not enough evidence to support the professor's claim.

Step-by-step explanation:

Given:

P = 28.5% ≈ 0.285

X = 210

n = 800

p' = \frac{X}{n} = \frac{210}{800} = 0.2625

Level of significance = 0.05

a) The null and alternative hypotheses are:

H0 : u = 28.5%

H1 : u < 28.5%

b) Given a 0.05 significance level.

This is a left tailed test.

The critical value =

-Z_0.05 = -1.645

The critical value = -1.645

c) Calculating the test statistic, we have:

Z = \frac{p' - P}{\sqrt{\frac{P(1-P)}{n}}}

Z = \frac{0.2625 - 0.285}{\sqrt{\frac{28.5(1-28.5)}{800}}}

Z = -1.41

d) Decision:

We fail to reject null hypothesis H0, since Z = -1.41 is not in the rejection region, <1.645

e) There is not enough evidence to support the professor's claim that the proportion of obese male teenagers decreased.

5 0
3 years ago
What are the three main types of money?
Andrew [12]

Answer:

D)commodity,representative,filat

4 0
3 years ago
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