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3 years ago

If f(x)=4x-6 and g(x)=√x+2, what is (f°g)(7)

Mathematics

1 answer:

frosja888 [35]3 years ago

5 0

Answer:

$4\sqrt{7} +2$

Step-by-step explanation:

fog =4 $\sqrt{x}$ +8-6

= 4 $\sqrt{x}$ +2

fog(7) = 4 $\sqrt{7}$ +2

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I need help ? which linear function is represented by the graph?

PilotLPTM [1.2K]

<h3>Answer: f(x) = (-1/2)x+1, choice B</h3>

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Explanation:

The diagonal line passes through 1 on the vertical y axis. So the y intercept is b = 1. This means the location of the y intercept is (0,1).

Start at (0,1) and move down 1 and to the right 2 to arrive at (2,0). This is another point on the diagonal line. The motion of "down 1 and right 2" is effectively the slope

slope = rise/run = -1/2

rise = -1, run = 2

The rise being negative means we have gone downhill as we move to the right.

With m = -1/2 as the slope and b = 1 as the y intercept, we go from y = mx+b to y = (-1/2)x+1

The last thing to do is replace y with f(x) to get f(x) = (-1/2)x+1 as the final answer.

4 0

3 years ago

Read 2 more answers

The friendly sausage factory (fsf) can produce hot dogs at a rate of 5,000 per day. fsf supplies hot dogs to local restaurants a

juin [17]

Answer:

a. 21 327 hot dogs/run

b. 70 runs/yr

c. 4 da/run

Step-by-step explanation:

Data:

Production rate (p) = 5000/da

Usage rate (u) = 260/da

Setup cost (S) = $66

Annual carrying cost (H) = $0.45/hot dog

Production days (d) = 294 da

Calculations:

a. Optimal run size

(i) Annual demand (D) = pd = (5000 hot dogs/1 day) × (294 days/1 yr)

= 1 470 000 hot dogs/yr

(ii) Economic run size

$Q_{0}= \sqrt{\frac{2DS }{ h}\times\frac{ p}{p-u }}$

$= \sqrt{\frac{2\times1470000\times66 }{ 0.45}\times\frac{ 5000}{5000-260 }}$

$= \sqrt{431200000\times\frac{ 5000}{4740 }}$

$= \sqrt{454852321}$

= 21 327 hot dogs/run

b. Number of runs per year

Runs = D/Q₀ = (1 470 000 hot dogs/1yr) × (1 run/21 327 hotdogs)

= 70 runs/yr

c. Length of a run

Length = Q₀/p = (21 327 hot dogs/1 run) × (1 da/5000 hot dogs)

= 4 da/run

8 0

3 years ago

If ΔJKL~ΔMKN, find the value of x.

Aleksandr-060686 [28]

Answer:

x = 14

Step-by-step explanation:

Since the triangles are similar, then the ratios of corresponding sides are equal, that is

$\frac{KL}{KN}$ = $\frac{JL}{MN}$ , substitute values

$\frac{32}{12}$ = $\frac{3x-2}{x+1}$ ( cross- multiply )

12(3x - 2) = 32(x + 1) ← distribute parenthesis on both sides

36x - 24 = 32x + 32 ( subtract 32x from both sides )

4x - 24 = 32 ( add 24 to both sides )

4x = 56 ( divide both sides by 4 )

x = 14

4 0

3 years ago

Tammy's weekly pay decreased from $850 to $790. Which of the following is closest to the

rosijanka [135]

Answer:

About 7 percent

Step-by-step explanation:

8 0

3 years ago

Help me on this please !

inna [77]

Answer:

24.08

Step-by-step explanation:

We use the Pythagorean theorem and we get (16)^2 + (18)^2 = (x)^2

256 + 324 = x^2

x^2 = 580

x is about 24.08.

7 0

3 years ago