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2 years ago

The function f(x) models the value of imported goods into the United States, and the function g(x) models the value of exported

Mathematics

2 answers:

Harman [31]2 years ago

6 0

Answer:

C, D, E

Step-by-step explanation:

I did the USATESTPREP

Airida [17]2 years ago

5 0

Answer:

c, d, e

Step-by-step explanation:

usatestprep

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Solve the following system of equations algebraically:<br> y = x2 - 6x + 9<br> y = -9x + 19

Ratling [72]

{(-5,64), (2,1)}

linear equation: y = -9x + 19
quadratic equation: y = x² - 6x + 9

Substitute the y in the quadratic equation by the its value in the linear equation.

-9x + 19 = x² - 6x + 9
      - 19    - 19 *subtract 19 to both sides
-9x    = x² - 6x -10
+9x + 9x *add 9x to both sides
0 = x² + 3x - 10
0 = (x + 5) (x - 2) *Factor

Set each factor = 0 and solve
x + 5 = 0 ; x - 2 = 0
x = -5    ; x = 2

Find the corresponding value of y using the linear equation.
y = -9x + 19

x = -5 x = 2
y = -9(-5) + 19    y = -9(2) + 19
y = 45 + 19 y = -18 + 19
y = 64 y = 1

(-5,64) (2,1)

Check each value on each equation.
y = x² - 6x + 9
(-5,64) (2,1)
64 = (-5)² - 6(-5) + 9 1 = 2² - 6(2) + 9
64 = 25 + 30 + 9 1 = 4 - 12 + 9
64 = 64    1 = 1

y = -9x + 19
64 = -9(-5) + 19 1 = -9(2) + 19
64 = 45 + 19 1 = -18 + 19
64 = 64 1 = 1

{(-5,64), (2,1)}

3 0

2 years ago

In the form of a paragraph, use complete sentences to describe some of your observations that helped you to conclude who researc

Verizon [17]

Answer:

1st pic:

Felix

mean: 11.31

median: 9

mode: none

range: 26

Tyler

mean: 56.57

median; 68

mode: none

range: 92

2nd pic:

The first histogram has a large amount of cheaper books and doesn't have any books that are above $29.99. This histogram sells cheaper books. The second histogram sells a more even distribution of books by cost. There are no bins that are significantly higher than the rest. This second histogram sells more expensive books.

3rd pic:

The first set of data shows that the difference in the prices is very small while the second set of data shows a larger variety of prices. The first set represents its prices in equally divided groups making it easier to read and determine than the second set of data.

Step-by-step explanation:

3 0

2 years ago

Can somebody tell me the answer and maybe tell me how you got it too.

asambeis [7]

To get t on one side, we have to use inverse operations to get rid of the 5.

1. Use inverse operation of multiplication to get rid of 5. Which would be division.

2. Divide both sides by 5.

5t/5 = 7 1/2 / 5

3. Solve.

5t/5 = t and 7 1/2 /5 = 1 1/2

7.5 / 5 = 1.5

Therefore, your answer would be C. divide both sides by 5, and the answer is 1 1/2.

7 0

3 years ago

100 is the sum of 25 and Num

Slav-nsk [51]

Algebraic expression: 100 = 25 + n

Answer: n = 75

7 0

2 years ago

Which of the following accurately shows the range of the function defined below?

il63 [147K]

Answer: The answer is (b) (2, ∞)

Step-by-step explanation: We are given a function f(x) in the figure and we are to select out of the given options that accurately shows the range of the function defined.

$\textup{For }x < 0, \textup{we have}~f(x)=3.$

$\textup{For }0\leq x$

$\textup{For }x\geq 2,\textup{ we have }f(x)=\dfrac{1}{2}x+5\geq 5.$

Therefore, the range of the function f(x) will be greater then or equal to 2. So, the range will be [2, ∞).

Thus, the correct option is (b) (2, ∞).

7 0

3 years ago

Read 2 more answers