Which graph represents the following piecewise defined function?

Answer:

(x−1)(x+2)

Step-by-step explanation:

The middle number is 1 (1x) and the last number is -2.

Factoring means we want something like

(x+_)(x+_)  

We need two numbers that...

Add together to get 1

Multiply together to get -2  

Try -1 and 2:

-1+2 = 1

-1*2 = -2

Fill in the blanks in

(x+_)(x+_)

with -1 and 2 to get...

(x-1)(x+2)

Hope this helps!

Answer:

Where is the question

Step-by-step explanation:

Answer:

661.7 million

Step-by-step explanation:

Given the exponential model :

A = 661.7 e^0.011t

The general form of an Exponential model is expresses as :

A = A0 * e^rt

Where A = final value ; A0 = Initial value ; r = growth rate and t = time elapsed

From the question t = time after 2003

Therefore, A0 = initial population, which is the population in 2003

Therefore, A0 = 661.7

Or we could put t = 0 in the equation and solve for A

A = 661.7 e^0.011(0)

A = 661.7 * 1

A = 661.7

Hence, population in 2003 is 661.7 million

Answer:

Perimeter of the summer camp = 38 units

Step-by-step explanation:

Distance between P(5, 14) and Q(8, 14) = 8 - 5

                                                                = 3 units

Distance between Q(8, 14) and R(8, 2) = 14 - 2

                                                               = 12 units

Distance between R(8, 2) and S(1, 2) = 8 - 1

                                                            = 7 units

Distance between S(1, 2) and T(1, 8) = 8 - 2

                                                            = 6 units

Distance between T(1, 8) and U(5, 8) = 5- 1

                                                             = 4 units

Distance between U(5, 8) and P(5, 14) = 14 - 8

                                                               = 6 units

Therefore, perimeter of the summer camp = 3 + 12 + 7 + 6 + 4 + 6

                                                                         = 38 units

Answer:

1500mm

Step-by-step explanation:

Multiply the length by 1000

therefore, 1.5×1000

Answer:

mk?

Step-by-step explanation:

Answer:

44 dollars without tax so the earrings were 11 dollars off

Answer:

72 85 23

Step-by-step explanation:

Equation

(x - 13) + (x/5 + 6) + x = 180                Multiply the equation by 5

Solution

5(x - 13) + 5(x/5 + 6) + 5x = 180*5     Remove the brackets

5x - 65 + x + 30 + 5x = 900              Combine like terms on the left

11x - 35 = 900                                    Add 35 to both sides

      35       35

11x = 935

x = 85

Answer

x - 13 = 85 - 13 =         72

x                      =          85

x/5 + 6 = 17 + 6 =        23

Total =                        180

It might be easier not to multiply through by 5 at the beginning

(x - 13) + (x/5 + 6) + x = 180              Remove the brackets

x - 13 + x/5 + 6 + x = 180                 Combine like terms

2x + x/5 -- 7 = 180

x/5    =   .2x                                     Put 0.2x in for x/5

2.2x - 7= 180                                   Add 7 to both sides

          7      7

2.2x = 187                                       Divide by 2.2

x = 187/2.2

x = 85

Take your pick. Both methods will give the same answer.

Answer:

[tex]a + b = 8 \\ 3a - 4b = 3 \\ 4a + 4b = 32 \\ 3a - 4b = 3 \\7a = 35 \\ (a = 5 )\: and \: (b = 3)[/tex]

Answer:

[tex]\frac{\pi}{3}[/tex] radians

Step-by-step explanation:

Number of hours on a clock = 12

Since, measure of a circle at the center = 360°

Measure of central angle formed by the arc between each number (representing hours) = [tex]\frac{360}{12}[/tex]

                                  = 30°

Central angle formed by the arc intercepted by the hands of the clock at 8:00 = 4 × 30°

        = 120°

Therefore, angle measure in radians = [tex]\frac{\pi }{360}\times (120^0)[/tex]

                                                              = [tex]\frac{\pi }{3}[/tex]

Angle formed by the hands of the clock at 8:00 = [tex]\frac{\pi}{3}[/tex] radians

Answer:

the weight of a bag of candy varies 3.2 ounces from the mean of 4 ounces.

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

A. 4.71cm²

Step-by-step explanation:

Area of a sector = π(radius²)(angle/360)

=π(3²)(60/360)

=(9)(1/6)π=4.71238898038

Answer:  17.2 for each tank

Answer:

The pvalue of the test is 0.177 > 0.02, which means that at α=0.02, you cannot reject the company's claim.

Step-by-step explanation:

A company that makes cola drinks states that the mean caffeine content per​ 12-ounce bottle of cola is 35 milligrams. You want to test this claim.

At the null hypothesis, you test that the mean caffeine content is of 35 milligrams, that is:

[tex]H_o: \mu = 35[/tex]

And at the alternate hypothesis, you test if the content is different from 35, so:

[tex]H_a: \mu \neq 35[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

35 is tested at the null hypothesis:

This means that [tex]\mu = 35[/tex]

During your​ tests, you find that a random sample of thirty​ 12-ounce bottles of cola has a mean caffeine content of 36.8 milligrams. Assume the population is normally distributed and the population standard deviation is 7.3 milligrams.

This means that [tex]n = 30, X = 36.8, \sigma = 7.3[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{36.8 - 35}{\frac{7.3}{\sqrt{30}}}[/tex]

[tex]z = 1.35[/tex]

Pvalue of the test and decision:

The pvalue of the test is the probability of the mean caffeine content differing from the mean by at least 36.8 - 35 = 1.8, which is P(|z| > 1.35), which is 2 multiplied by the pvalue of z = -1.35.

Looking at the z = -1.35 has a pvalue of 0.0885

2*0.0885 = 0.177

The pvalue of the test is 0.177 > 0.02, which means that at α=0.02, you cannot reject the company's claim.

Answer:

22

Step-by-step explanation:

Answer:

(2,1)

Step-by-step explanation:

f(x) = - x^2 + 4x - 3

Factor out the negative

f(x) = - (x^2 - 4x + 3)

Factor

f(x) = -(x-3) (x-1)

The zeros are at

0 = -(x-3) (x-1)

 x-3 =0   x-1 =0

x=3   x=1

We know the vertex is 1/2 way between the zeros

(3+1)/2 = 4/2 =2

The x coordinate of the vertex is 2

Substitute x=2 into the equation

f(2) = -(2^2-4(2) +3)

     = -(4-8+3)

    = -(-1)

    = 1

The vertex is (2,1)

Answer: 7.5 miles

Step-by-step explanation:

think of it as a triangle; the bold line is the hypotenuse, or x.

 8   |\   x

      |_\              it's not a good triangle but you get the point

       6

and then get out pythagorean theorem: a^2+b^2=c^2

put the numbers in: 8^2 + 6^2 = x^2

do some math:

64+36=x^2

100=x^2 (and then find square root)

10=x

BUT, it said each unit was 3/4 of a mile, so we must multiply 10 by 3/4 to get the actual distance, which is 7.5

Answer:

x= 130°

Step-by-step explanation:

Answer:

The probability that both number cubes have the number 4 facing up is 1/36.

Step-by-step explanation:

For a cube, we have the number:

1,2,3,4,5 and 6

The number 4 only occurs once in the six.

So, the probability of having the number 4 in a single roll is 1/6.

Now, for two rolls, we have two probabilities which we will have to multiply.

Thus, we have the probability as:

[tex] \frac{1}{6} \times \frac{1}{6} = \frac{1}{36} [/tex]

Answer:

C is my answer

Step-by-step explanation:

Answer:

Just report the other guy or take down his answer because he was not even trying to help but the answer is Decreases

Step-by-step explanation:

Answer:

48/20=2.4

12/2.4=5

Step-by-step explanation:

Kai can buy 5 bunches of grapes if she has $12.

Answer:

It's 29.

Step-by-step explanation:

48/20=2.4

12x2.4=28.8

Round up to 29.

Answer:

The slope should be 34.00.

Step-by-step explanation:

Answer: The amount of outcomes is 26 because you have 26 cards which are all possible to draw so they are the outcomes.

Step-by-step explanation:

Basic arithmetic really.  8+6+5+7 = 26. The color was just added to confuse u.

Answer:

25 feet

Step-by-step explanation:

Answer:

1.the square pan is larger by 12 inches

40 cm^2

Step-by-step explanation:

The difference in size can be determined by calculating the difference between the perimeter of the square pan and the circumference of a circle

perimeter of a square = 4 x length

14 x 4 = 56 inches

Circumference of a circle = πD = (22/7) x 14 = 44 inches

Difference in size = 56 - 44 = 12 inches

Area of a rectangle = length x width

10 x 4 - 40 cm^2

p=−d+m/h

Step by step:

m−hp=d

−hp+m+−m=d+−m

−hp=d−m

-hp/-h=d-m/-h

p=-d+m/h

The expression solved for p is [tex]p = \frac{m - d}{h}[/tex].

It is the unknown value in a set of range. Variable always represent a number.

Given that,

m − hp = d

There are 4 variables. If we want to solve the above equation for p, take p at one side of the equation and other variables to the other side:

[tex]ph ={m - d}[/tex]

[tex]p = \frac{m - d}{h}[/tex]

Hence the final equation for p is [tex]p = \frac{m - d}{h}\\[/tex].

To know more about equations, refer to the link:

https://brainly.com/question/10413253

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