In 1980, the number of African elephants was 1,200,000 but that number was decreasing 5.25% a year.

Simplify the following expression:

Salsk061 [2.6K]

Simplification form of the provided expression is -x⁴-2x³+2x+5 option (B) is correct.

<h3>What is an expression?</h3>

It is defined as the combination of constants and variables with mathematical operators.

The options are:

A) -x⁴ - 2x - x + 2

B) -x⁴ - 2x³ + 2x + 5

C) -2x³ + 1

D) -x - 2x² + 2x + 5

We have an expression:

= (x + 3) - [(x + 2)(x³ - 1)]

$\rm =x+3-\left(x+2\right)\left(x^3-1\right)$

$\rm =x+3-x^4+x-2x^3+2$

$\rm =-x^4-2x^3+2x+3+2$

$\rm =-x^4-2x^3+2x+5$

Thus, simplification form of the provided expression is -x⁴-2x³+2x+5 option (B) is correct.

Learn more about the expression here:

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5 0

2 years ago

NEED ANSWER ASAP!!!!

gayaneshka [121]

Answer:

y=4x+64

Step-by-step explanation:

The slope intercept form is y=mx+b, m being the slope and b being the y-intercept

The line intersects the y axis at (0, 64), so the y intercept is 64

To find the slope, find the change in y over the change in x

The y decreases by 16 every time the x increases by 4

SO the slope is 16/4, simplified to 4

y=4x+64

6 0

2 years ago

Find the midpoint of a and b when a has coordinates (-5,3) and b has coordinates (3,-1)

azamat

To find the x coordinate of the midpoint, add the x coordinates and divide by 2
(-5+3)/2 = -2/2 = -1
To find the y coordinate of the midpoint, add the y coordinates and divide by 2
(3+-1)/2 = 2/2 = 1
(-1,1)

6 0

2 years ago

Read 2 more answers

1.) A 20° sector in a circle has an area of 21.5π yd².

a_sh-v [17]

Part 1) A 20° sector in a circle has an area of 21.5π yd².

What is the area of the circle?

we know that

the area of a circle represent a sector of $360$ degrees

so by proportion

$\frac{21.5\pi }{20} =\frac{x}{360} \\ \\ x*20=360*21.5\pi \\ \\x=(360*21.5*3.14)/20\\ \\x= 1,215.18\ yd^{2}$

therefore

the answer part 1) is

The area of the circle is $1,215.18\ yd^{2}$

Part 2) What is the area of a sector with a central angle of 3π/5 radians and a diameter of 21.2 cm?

we know that

the area of the circle is equal to

$A=\pi r^{2}$

where

r is the radius of the circle

in this problem we have

$Diameter=21.2\ cm\\ r=Diameter/2\\r=21.2/2\\r= 10.6\ cm$

Find the area of the circle

$A=\pi r^{2}$

$A=\pi*10.6^{2}$

$A=352.8104\ cm^{2}$

Find the area of the sector

we know that the area of the circle represent a sector of $2\pi$ radians

by proportion

$\frac{352.8104}{2\pi }=\frac{x}{(3\pi/5)} \\\\x*2\pi=(3\pi*352.8104)/5\\ \\x= 105.84\ cm^{2}$

therefore

the answer part 2) is

the area of the sector is

$105.84\ cm^{2}$

7 0

3 years ago

Drag each tile to the correct box. A data set that consists of many values can be summarized using the five-number summary. Arra

dimaraw [331]

Answer:

Minimum < Q1 < Median < Q3< Maximum

Step-by-step explanation:

Given

Minimum, Median, Maximum, Q3 and Q1

See attachment for complete question

Required

Order from least to greatest

In a dataset, the range is:

$Range = Maximum - Minimum$

This implies that, the minimum is the least and the maximum is the highest of the dataset

So, we have:

Minimum < < < < Maximum

The median is the middle item; So, the above becomes

Minimum < < Median < < Maximum

In a dataset, the IQR is:

$IQR = Q_3 - Q_1$

This implies that:

$Q_3 > Q_1$

So, we have:

Minimum < Q1 < Median < Q3< Maximum

6 0

3 years ago