What is the value of this

The graphs of functions f(x) and g(x) = f(x) + k are shown:

iogann1982 [59]

Answer:

9514 1404 393

Step-by-step explanation:

k = 2

The point (0, 0) on the graph of f(x) tells you f (0) = 0.

The point (-4, 0) on the graph of g(x) tells you g (-2) = 0.

Now we know that

g(-2) = 0 = f(0) = f(-2+k)

or ...

0 = -2+k

2 = k

The value of k is 2

so the answer to you problem is k=2

5 0

2 years ago

If f(x) = 2x + 3 and g(x) = x2-7, find (f+g)(x)

love history [14]

f(x) = 2x + 3
g(x) = x²-7

(f+g)(x) = f(x) + g(x) = 2x + 3 + x² - 7 = x² + 2x - 4

(f+g)(x) = x² + 2x - 4

3 0

3 years ago

BRAINLIESTTT. ASAP! PLEASE HELP ME :)

Vsevolod [243]

Answer: Choice A

$\frac{\sqrt{6}+\sqrt{2}}{4}$

========================================================

Work Shown:

$\cos(30) = \frac{\sqrt{3}}{2}$

$\cos(\frac{x}{2}) = \sqrt{\frac{1+\cos(x)}{2}$

$\cos(\frac{30}{2}) = \sqrt{\frac{1+\cos(30)}{2}$

$\cos(15) = \sqrt{\frac{1+\frac{\sqrt{3}}{2}}{2}$

$\cos(15) = \sqrt{\frac{\frac{2}{2}+\frac{\sqrt{3}}{2}}{2}$

$\cos(15) = \sqrt{\frac{\frac{2+\sqrt{3}}{2}}{2}$

$\cos(15) = \sqrt{\frac{2+\sqrt{3}}{4}}$

$\cos(15) = \frac{\sqrt{2+\sqrt{3}}}{\sqrt{4}}$

$\cos(15) = \frac{\sqrt{2+\sqrt{3}}}{2}$

$\cos(15) = \frac{0.5\sqrt{6}+0.5\sqrt{2}}{2}$

$\cos(15) = \frac{\sqrt{6}+\sqrt{2}}{4}$

5 0

3 years ago

According to the last census (2010), the mean number of people per household in the United States is LaTeX: \mu = 2.58 Assume a

Veseljchak [2.6K]

Answer:

P(2.50 < Xbar < 2.66) = 0.046

Step-by-step explanation:

We are given that Population Mean, $\mu$ = 2.58 and Standard deviation, $\sigma$ = 0.75

Also, a random sample (n) of 110 households is taken.

Let Xbar = sample mean household size

The z score probability distribution for sample mean is give by;

Z = $\frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

So, probability that the sample mean household size is between 2.50 and 2.66 people = P(2.50 < Xbar < 2.66)

P(2.50 < Xbar < 2.66) = P(Xbar < 2.66) - P(Xbar $\leq$ 2.50)

P(Xbar < 2.66) = P( $\frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } }$ < $\frac{2.66-2.78}{\frac{0.75}{\sqrt{110} } }$ ) = P(Z < -1.68) = 1 - P(Z 1.68)

= 1 - 0.95352 = 0.04648

P(Xbar $\leq$ 2.50) = P( $\frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } }$ $\leq$ $\frac{2.50-2.78}{\frac{0.75}{\sqrt{110} } }$ ) = P(Z $\leq$ -3.92) = 1 - P(Z < 3.92)

= 1 - 0.99996 = 0.00004

Therefore, P(2.50 < Xbar < 2.66) = 0.04648 - 0.00004 = 0.046

7 0

3 years ago

Factor completely 5a2 + b. Prime a(5a + b) b(5a2) ab(5a + 1)

Tatiana [17]

$\sf {5a^2+b~is~\boxed{\bf{prime}}}$

It is prime because it has no common factors in 5a^2 and b.

The answer is A.

6 0

3 years ago

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