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oksian1 [2.3K]
3 years ago
15

Mr johnson's students want to know his age. He tells them that this year his age is a multiple of 9, and next year it will be a

multiple of 4. What is his age?
Mathematics
1 answer:
vladimir1956 [14]3 years ago
8 0

Answer:

He is 27 years old.

Step-by-step explanation:

27 is a multiple of 9 (9 x 3)

28 comes after, and is a multiple of 4 (4 x 7)

Hope this answer helps you!! :)

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At what point on the curve y = 2 + 2ex − 4x is the tangent line parallel to the line 4x − y = 3? (x, y) =
Papessa [141]

Answer:

{ln 4, (2 + 2e^ln 4 − 4 ln 4)} or (1.39, 4.45)

Step-by-step explanation:

From this equation 4x − y = 3

-y = 3 - 4x

then, y = 4x - 3

From line equation y = mx + b

Therefore, the slope is 4

Since the are parallel line, they will have same slope

Finding the derivative of y = 2 + 2e^x − 4x

y = 2 + 2e^x − 4x

y' = 0 + 2e^x - 4

Therefore,

4 = 2e^x - 4

4 = e^x

x = ln 4 = 1.39

To find the y coordinate

y = 2 + 2e^x − 4x

y = 2 + 2e^ln 4 − 4 ln 4

y = 4.45

Hence, they are parallel at point (1.39 and 4.45)

3 0
3 years ago
How do you find the length of the legs of an isosceles triangle?
AveGali [126]

Answer:

Step-by-step explanation:

4 0
3 years ago
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A store has a 28% off sale on hammers. Before the discount, the price of a hammer is $49. What is the sale price?
zheka24 [161]
28% of 49 is 13.72. So subtract that from 49 and you get 35.28. 35.28 is the price after the sale
5 0
2 years ago
A Baker used 7 bags of cookie-doe to make 10 cookies he used__ of a doe for each cookies- How many?
Ksivusya [100]

Answer:

I think it is 70

Step-by-step explanation:

7(10)=70

70=70

3 0
3 years ago
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(9h+3)(−h−1) porfavor ayudenme con esta pregunta.
BartSMP [9]

Answer:

-9h² - 12h - 3

Step-by-step explanation:

Follow the FOIL method:

FOIL = First, Outside, Inside, Last

Multiply the terms together:

First: 9h * -h = -9h²

Outside: 9h * -1 = -9h

Inside: 3 * -h = -3h

Last: 3 * -1 = -3

Combine like terms: 9h² + (-9h - 3h) - 3

9h² - 12h - 3

-9h² - 12h - 3 is your answer.

~

5 0
3 years ago
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