3 years ago

3/4x+3y=12 for x when y=5

1 answer:

4 0

Solve for x by simplifying both sides of the equation, then isolating the variable.
x = -4
Hope this helps! :)
Happy New Years!

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5c+2(10−c) ????????<br><br> (x+8) - (X-8) ?????

Ghella [55]

Hi again!

$5c + 2(10-c)

Use the distributive property 

=5c+(2)(10)+(2)(-c)

=5c + 20 -2c 

= 3c + 20


--------------------------

(x+8)-(x-8)

x + 8 - x + 8 

= 16 


Best of luck!$

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3 years ago

A light bulb has a lifetime X that is exponentially distributed with a mean 340 hours. Find the probability that the bulb lifeti

LUCKY_DIMON [66]

Answer:

0.7026

Step-by-step explanation:

Let X denote the lifetime of light bulb. Given $X \sim Exp(\lambda)$ where the mean is $E(X) = 340 =\frac{1}{\lambda} \implies \lambda = \frac{1}{340} = 0.00294$ .

Recall that,

$\displaystyle P(X>x) = 1 - \int_0^x e^{-\lambda x} = 1 - (1 - e^{-\lambda x} = e^{-\lambda x}$

$\displaystyle P(X>220 | X>100) = \frac{P(X>220,X>100)}{P(X>100)} = \frac{e^{-\lambda \times 220}}{e^{-\lambda \times 100}} = \frac{0.5236}{0.7452} = 0.7026$

7 0

3 years ago

The graph of y = |x| is shifted to the left by 6 units.

Gnom [1K]

Answer:

D, y= |x+6|

When a graph is shifted to the left, you add the shifted value to the x value in function notation.

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3 years ago

Captain Salamander has a lazy time on the trip and spends about 15 hours a day sleeping. What fraction of the day does he spend

padilas [110]

Well there is 24 hours in a day so 24 - 15 = 9. So he spends 9 hours awake.

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2 years ago

Find the zeros of the function.<br> f(x) = 3x2 – 8x – 16

Vlad1618 [11]

Answer:

amusing you mean 3x^2-8x-16 the answer is when x is equal to -4/3 and 4

Step-by-step explanation:

3x^2-8x-16 ------> (3x+4)(x-4)

3x+4=0 ----> 3x=-4 ----> x=-4/3

x-4=0 ----> x=4

5 0

3 years ago