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3 years ago

Given the following functions f(x) and g(x), solve (f + g)(3) and select the correct answer below:

Mathematics

2 answers:

kati45 [8]3 years ago

8 0

(f+g)(3) = f(3) + g(3) = 6(3) + 3 + 3 -7 = 18 +6 -7 = 17.

Answer: 17

Ann [662]3 years ago

3 0

Answer:

Option B is correct

$(f+g)(3)$ = 17

Step-by-step explanation:

Given the functions:

f(x) = 6x+3

g(x) = x-7

Solve: $(f+g)(3)$

First do:

$(f+g)(x) = f(x)+g(x)$

Substitute the given values we have;

$(f+g)(x) = 6x+3+x-7 = 7x-4$

Put x = 3 above we have;

$(f+g)(3) = 7(3)-4 = 21-4=17$

Therefore, the value of $(f+g)(3)$ is 17

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A piece of copper wire of length 200 m has a diameter of 1.2 mm.

vova2212 [387]

The volume of the copper wire is 226.080 cm³ and the mass of the wire is 2,012.112 g/cm³.

Given that, the length of copper wire=200 m=200000 mm and the diameter of the copper wire=1.2 mm.

We need to find the volume of the copper wire.

<h3>What is the formula to find the volume of the cylinder?</h3>

The formula to find the volume of a cylinder is πr²h.

Now, the volume of the copper wire=πr²h= $\frac{22}{7} \times (0.6)^{2} \times 200000=2,26,080$ mm³=226.080 cm³

If the density of copper is 8.9 g/cm³, find the mass of the wire.

We know that $Density=\frac{Mass}{Volume} }$ .

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⇒Mass=2,012.112 g/cm³

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2 years ago

Graph the linear equation ax +by = c, where a = 0, b = 1, and c = 1.5.

Nana76 [90]

Step-by-step explanation:

ax +by = c

0(x) + 1(y) = 1.5

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3 years ago

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Linear equation

dybincka [34]

Answer:

see explanation

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

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Here m = $\frac{1}{2}$ and (a, b) = (3, - 2) , thus

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The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = $\frac{1}{2}$ , thus

y = $\frac{1}{2}$ x + c ← is the partial equation

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3 years ago

Picking a blue shirt from a drawer with 8 blue shirts and 2 white shirts

Nata [24]

Answer:

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Step-by-step explanation:

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4 years ago

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Private colleges and universities rely on money contributed by individuals and corporations for their operating expenses. Much o

Art [367]

Answer:

The value will be used as the point estimate for the mean endowment of all private colleges in the United States is of 180.975 millions of dollars.

Step-by-step explanation:

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We have to find the mean of the 8 colleges. So

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