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DochEvi [55]
2 years ago
9

Which of the following represents the area of a rectangle whose length is 3x + 5 and whose width is x − 2?

Mathematics
1 answer:
Vladimir [108]2 years ago
3 0

Answer:

3x^2 - x - 10

Step-by-step explanation:

Times the two together and you get

3x^2 + (-6x) + 5x + (-10)

Sum these up for your answer

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Look at the link

Step-by-step explanation:

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Consider the system: y = 3x + 5 y = ax + b What values for a and b make the system inconsistent? What values for a and b make th
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<span>When a = 3 and b ≠ 5, the system will be inconsistent because the lines will be parallel. When a = 3 and b = 5, the system will be consistent and dependent because they represent the same line.</span>
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In △EKL, m∠K = 90º, m∠E = 25º, EK = 3 cm, KH - altitude. Find EH.
laiz [17]

Answer:

EH = 3.31

Step-by-step explanation:

We have been given a right angle triangle EKL. As KH has been given as the altitude (perpendicular) of the right angled triangle, and K is the right angle, we can say that EK is tthe base of the triangle and EH is the only side lleft, which is the hypotenuse of the triangle.

Where,

EK = Base = 3

KH = perpendicular altitude

EH = Hypotenuse

m<K = 90

m<E = 25

We know that

cosθ = Base/ Hypotenuse

cos 25 = 3/ EH

EH = 3/cos25

EH = 3.31

Perpendicular alitutude can also be calculated by using the formula for tanθ.

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Jessica is selling books during the summer to earn money for college. She earns a commission on each sale but has to pay for her
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The slope represents the rate of change of earnings in a week for every unitary change in number of doors knocked. For Jessica's function, her earnings change by +7 units for every unit of door she knocks.

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Colin is painting figurines. He spends 20 minutes painting each figurine. After painting for 60 minutes, he still has 9 more fig
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Answer:

f(t) = -0.05t +12

Step-by-step explanation:

To solve this problem we must pay attention to the following data supplied:

- f It is the number of figurines that remain to be painted.

- t amount of time, in minutes, that Colin spends painting

- Colin takes 20 minutes painting each figurines.

- After painting 60 min, he still has 9 figurines left. f (60) = 9

If he takes 20 minutes painting 1, it means that in 60 minutes he has painted 3 and he has 9 left.

Then, at the beginning he has 9 +3 figurines to be painted.

f (0) = 3 + 9\\f (0) = 12

With these two points we can find the function:

If m is the slope of the line, then:

m = \frac{y_2-y_1}{x_2-x_1}\\\\m = \frac{9-12}{60-0}\\\\m = -0.05\\\\f (t) = -0.05t + c

Where by definition c = f(0) = 12

Finally the formula is:

f(t) = -0.05t +12

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