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3 years ago

PLEASE HELP 15 POINTS

Mathematics

1 answer:

mart [117]3 years ago

8 0

Area Y Square + Area of triangle
= 10x10+1/2x18x5
=100+9x5
=100+45
=145.

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HELPPPP!!!! Need the answer ASAP!!

Greeley [361]

Given that the functions $f(x)=x+4$ and $g(x)=x^{3}$

We need to determine the value of the function $(g \ {\circ} f)(-3)$

First, we shall determine the composition of the function $(g \circ f)(x)$

Function $(g \circ f)(x)$ :

Let us determine the function $(g \circ f)(x)$

Thus, we have;

$(g \circ f)(x)=g[f(x)]$

$=g[x+4]$

$=(x+4)^3$

$(g \circ f)(x)=x^3+3x^2(4)+3x(4)^2+(4)^3$

$(g \circ f)(x)=x^3+12x^2+48x+64$

Thus, the function is $(g \circ f)(x)=x^3+12x^2+48x+64$

Value of the function $(g \ {\circ} f)(-3)$ :

The value of the function can be determined by substituting x = -3 in the function $(g \circ f)(x)=x^3+12x^2+48x+64$

Thus, we have;

$(g \circ f)(-3)=(-3)^3+12(-3)^2+48(-3)+64$

Simplifying the terms, we get;

$(g \circ f)(-3)=-27+12(9)+48(-3)+64$

$(g \circ f)(-3)=-27+108-144+64$

$(g \circ f)(-3)=1$

Thus, the value of the function $(g \ {\circ} f)(-3)$ is 1.

8 0

3 years ago

Math Questions please

Vladimir [108]

Answer:

Andrew quits his job as an accountant where he earns $65,000 per year to go back to school for two years to get an MBA degree. He attends a school that charges $25,000 per year for tuition and related expenses. How much is the total cost (explicit cost plus opportunity cost) of that degree?

A. $153,436

B. $180,000

C. $46,500

D. $158,436

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4 years ago

The graphed line shown below is y = 5 x minus 10. On a coordinate plane, a line goes through (2, 0) and (3, 5). Which equation,

anygoal [31]

Answer:

The correct option is:

y = 5(x-2)

Step-by-step explanation:

The graphed line is;

y = 5x - 10

y = mx + c

Thus, slope of graphed line is equal to m=5.

Those line will have no solution which have are parallel to the graphed line (have a slope of 5) and passes through the given points.

Following lines have the slopes 5:

y= 5(x+2)

y= 5(x-2)

Check which equation satisfied points (2,0) and (3,5)

For (2,0)

y=5(x-2)

y=5(2-2)

y=0

For (3,5)

y=5(x-2)

y=5(3-2)

y=5

Thus, correct option is y = 5(x-2)

5 0

4 years ago

Read 2 more answers

The volume of a cube is 343mm3. What is the length of its side?

stiv31 [10]

Answer:

Step-by-step explanation:

s is the length of each side of the cube

volume = s³

343 = s³

s = ∛343 = 7 mm

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3 years ago

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Solve the inequality. Graph the solution. −8<−1/3 x

Serggg [28]

Answer:

That you answer

Step-by-step explanation:

Given 3x - 2 <2x +1 3x -2x 1 + 2 x <3 or x∈(−∞,3)

The lines y=3x−2 and y=2x+1 both will intersect at x=3

Clearly, the dark line shows the solution of 3x−2<2x+1.

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3 years ago