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EleoNora [17]
1 year ago
12

If f(x) = mx +c, f(4) = 11 and f(5) = 13, find the value of f(2).​

Mathematics
1 answer:
stellarik [79]1 year ago
3 0

Answer:

7

Step-by-step explanation:

f(4)=4m+c=11 \\ \\ f(5)=5m+c=13

Subtracting the equations yields that m=2, and thus c=3.

\implies f(2)=2(2)+3=7

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X^3+4x^2-9x-36<br> whats the answer
IceJOKER [234]

Answer:

x= -4, -3, 3

Step-by-step explanation:

You must factor this equation.

Once you factor, you get (x+4)(x-3)(x+3)

Set this equal to 0 and solve.

You get -4,-3, and 3.

6 0
3 years ago
A balloon has a circumference of 28 in use the circumference to approximate the surface area of the ballon to the nearest square
nikklg [1K]

The surface area of the balloon is 249 in².

<h3>What is the surface area of the balloon ?</h3>

A balloon has the shape of a sphere. The distance round the sphere is equal to the circumference of the sphere.

Circumference of the sphere = 2πr

Where:

  • r = radius
  • π = pi = 22 / 7

Radius - circumference / 2π

28 / ( 2 x 22/7) = 4.45 inches

Surface area of a sphere = 4πr²

4 x 22/7 x 4.45² = 249 in²

To learn more about the surface area of a sphere, please check: brainly.com/question/27267844

#SPJ1

5 0
1 year ago
I need help plz help me
MissTica

Answer:

a+2b

Step-by-step explanation:

2(a+2b)-a-2b

2a+4b-a-2b

=a+2b

5 0
2 years ago
Read 2 more answers
Suppose (1,19) is on the graph of y = f (x). Which of the following points lies on the graph of the transformed function y = f(1
o-na [289]

Answer:

(5,19) lies on the graph of the transformed function y = f(1/5x)

Step-by-step explanation:

Suppose (1,19) is on the graph of y = f (x)

the graph of the transformed function y = f(1/5x)

y=f(\frac{1}{5}x)

1/5 is multiplied with x  in f(x)

1/5 is less than 1 so there will be a horizontal stretch in the graph by the factor of 1/5

To make horizontal stretch we change the point

f(x)=f(bx) then (x,y) --->( x/b,y)

We divide the x coordinate by the fraction 1/5

(1,19) ----> (\frac{1}{\frac{1}{5}} , 19)= (5,19)

So (5,19) lies on the graph of the transformed function y = f(1/5x)

8 0
3 years ago
Consider a drug testing company that provides a test for marijuana usage. Among 310 tested​ subjects, results from 28 subjects w
Naily [24]

Answer:

z=\frac{0.0903 -0.1}{\sqrt{\frac{0.1(1-0.1)}{310}}}=-0.569  

The p value for this case can be calculated with this probability:

p_v =P(z  

Since the p value is higher than significance level we don't have enough evidence to conclude that the true proportion is significantly less than 0.1

Step-by-step explanation:

Information given

n=310 represent th sample selected

X=28 represent the subjects wrong

\hat p=\frac{28}{310}=0.0903 estimated proportion of subjects wrong

p_o=0.1 is the value to verify

\alpha=0.05 represent the significance level

t would represent the statistic

p_v represent the p value

System of hypothesis

We want to test the claim that less than 10 percent of the test results are wrong ,and the hypothesis are:  

Null hypothesis:p\geq 0.1  

Alternative hypothesis:p < 0.1  

The statistic is given by:

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

Replacing the info we got:

z=\frac{0.0903 -0.1}{\sqrt{\frac{0.1(1-0.1)}{310}}}=-0.569  

The p value for this case can be calculated with this probability:

p_v =P(z  

Since the p value is higher than significance level we don't have enough evidence to conclude that the true proportion is significantly less than 0.1

5 0
3 years ago
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