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Dmitrij [34]
2 years ago
5

72 is what percent of 45​

Mathematics
1 answer:
Aloiza [94]2 years ago
8 0

Answer:

160%

Step-by-step explanation:

45= 100%

72= ?%

100×72/45 = 160

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If f(x) = x3 – x2 – 3, which of the following is equal to g(x) = f(2 – x)?
Andru [333]

Answer:

-x^3+5x^2-8x+1, which is choice A

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

Work Shown:

f(x) = x^3 - x^2 - 3

f(x) = (x)^3 - (x)^2 - 3

f(2-x) = (2-x)^3 - (2-x)^2 - 3 ................ see note 1 (below)

f(2-x) = (2-x)(2-x)^2 - (2-x)^2 - 3 ........... see note 2

f(2-x) = (2-x)(4-4x+x^2) - (4-4x+x^2) - 3 ..... see note 3

f(2-x) = -x^3+6x^2-12x+8 - (4-4x+x^2) - 3 ..... see note 4

f(2-x) = -x^3+6x^2-12x+8 - 4+4x-x^2 - 3 ....... see note 5

f(2-x) = -x^3+5x^2-8x+1

----------

note1: I replaced every copy of x with 2-x. Be careful to use parenthesis so that you go from x^3 to (2-x)^3, same for the x^2 term as well.

note2: The (2-x)^3 is like y^3 with y = 2-x. We can break up y^3 into y*y^2, so that means (2-x)^3 = (2-x)(2-x)^2

note3: (2-x)^2 expands out into 4-4x+x^2 as shown in figure 1 (attached image below). I used the box method for this and for note 4 as well. Each inner box or cell is the result of multiplying the outside terms. Example: in row1, column1 we have 2 times 2 = 4. You could use the FOIL rule or distribution property, but the box method is ideal so you don't lose track of terms.

note4: (2-x)(4-4x+x^2) turns into -x^3+6x^2-12x+8 when expanding everything out. See figure 2 (attached image below). Same story as note 3, but it's a bit more complicated.

note5: distribute the negative through to ALL the terms inside the parenthesis of (4-4x+x^2) to end up with -4+4x-x^2


4 0
3 years ago
Area of a circle with a radius of 6.75 inches
maw [93]

Answer:

A = 143.2

Step-by-step explanation:

A= πr² = π(6.75)² = \frac{22}{7} × 45.5625 = 143.196 ≈143.2

4 0
1 year ago
Help asap they are in order form top to bottom <br><br> A<br> B<br> C<br> D
Olin [163]

Answer: The answer is B

Step-by-step explanation:

3 0
3 years ago
Find the coordinates of point B along a directed line segment from A(3,4) and
andreev551 [17]

We have been given two points. A(3,4) and C(3,9). We are asked to find the point B such that it divides line segment AC so that the ratio of AB to BC is 4:1.

We will use segment formula to solve our given problem.

When a point P divides segment any segment internally in the ratio m:n, then coordinates of point P are:

[\right x=\frac{mx_2+nx_1}{m+n},y=\frac{my_2+ny_1}{m+n}\left]

(x_1,y_1)=(3,4) and (x_2,y_2)=(3,9).

m=4,n=1

Upon substituting our given information in above formula, we will get:

[\right x=\frac{4(3)+1(3)}{4+1},y=\frac{4(9)+1(4)}{4+1}\left]

[\right x=\frac{12+3}{5},y=\frac{36+4}{5}\left]

[\right x=\frac{15}{5},y=\frac{40}{5}\left]

[\right x=3,y=8\left]

Therefore, the coordinates of point B would be (3,8).

8 0
3 years ago
0.8342 as a fraction?
ratelena [41]

Answer:

4171/5000

Step-by-step explanation:

When diving 4171 by 5000, you get the answer of 0.8342. If you are using a calculator, you can use a button that allows you to convert decimals to fractions and vice versa.

5 0
3 years ago
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