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3 years ago

Solve for x in the equation x squared + 4 x minus 4 = 8.

Mathematics

2 answers:

Tcecarenko [31]3 years ago

6 0

Answer:

x = -6 or x=2

Step-by-step explanation:

x = –6 or x = 2

x = negative 2 plus-or-minus 2 StartRoot 2 EndRoot

x = –2 or x = 6

x = 2 plus-or-minus 2 StartRoot 2 EndRoot

Goryan [66]3 years ago

5 0

Step-by-step explanation:

x² + 4x − 4 = 8

x² + 4x − 12 = 0

(x + 6) (x − 2) = 0

x = -6 or x = 2

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Step-by-step explanation:

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3 years ago

A college-entrance exam is designed so that scores are normally distributed with a mean of 500 and a standard deviation of 100.

yawa3891 [41]

Answer:

The probability is 0.003

Step-by-step explanation:

We know that the average $\mu$ is:

$\mu=500$

The standard deviation $\sigma$ is:

$\sigma=100$

The Z-score is:

$Z=\frac{x-\mu}{\sigma}$

We seek to find

$P(x800)$

For P(x>800) The Z-score is:

$Z=\frac{x-\mu}{\sigma}$

$Z=\frac{800-500}{100}$

$Z=3$

The score of Z = 3 means that 800 is 3 standard deviations from the mean. Then by the rule of the 8 parts of the normal curve, the area that satisfies the conficion of 3 deviations from the mean has percentage of 0.15%

$P(x>800)=0.15\%$

For P(x<200) The Z-score is:

$Z=\frac{x-\mu}{\sigma}$

$Z=\frac{200-500}{100}$

$Z=-3$

The score of Z = -3 means that 200 is 3 standard deviations from the mean. Then by the rule of the 8 parts of the normal curve, the area that satisfies the conficion of 3 deviations from the mean has percentage of 0.15%

$P(x$

Therefore

$P(x800)=P(x800)$

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6 0

3 years ago

-3a + 6b= a + 4b<br> Write a formula for f (a) <br> in terms of a.

belka [17]

Answer:The formula for a can be calculated by the following steps;

Step-by-step explanation:

-3a-a=4b-6b

-4a=-2b

cancelling the negative sign;

4a=2b

a=2b/4

a=b/2

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4 years ago

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If f(x)=4x+7 and g(x)=x^3, what is (g°f)(-1)

Annette [7]

Answer:

The answer is (g°f)(-1) = 27

Step-by-step explanation:

* (g°f)(1) ⇒ means make the domain of g is the range of f

- At first find the value of f(-1)

- Take the answer and substitute it as the value of x for g

- So the range of f is the domain of g

∵ f(x) = 4x + 7

∵ The domain of f = -1 ⇒ x is the domain

∴ f(-1) = 4(-1) + 7 = -4 + 7 = 3 ⇒ f(-1) is the range

∵ g(x) = x³

∵ x = f(-1) = 3 ⇒ the domain of g

∴ g(3) = 3³ = 27 ⇒ the range of g

* (g°f)(-1) = 27

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3 years ago