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Zarrin [17]
3 years ago
6

PLEASE HELP I WILL GIVE THE BRANLYEST

Mathematics
2 answers:
avanturin [10]3 years ago
4 0
Hey it would be
1st expression would be 1/x-2
2nd expression would be just x
3rd expression would be x4
4th expression would be x9
Have an amazing day❤️
liberstina [14]3 years ago
3 0

Answer:

the answers below follow in the same order as the question

1/x^-2, x,x^4,x^9

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Which pairs of points would result in a line with a rate of change of 2:1? select all that apply
Reil [10]

Answer:

A,C,D

Step-by-step explanation:

Complete Question:

<em>"Which pairs of points would result in a line with a rate of change of 2:1? select all that apply"</em>

<em>A.(−4,−11) and (−2−7) </em>

<em>B.(5,6) and (−5, 12) </em>

<em>C.(0,−3)and (−4,−11) </em>

<em>D. (0,−3) and (5, 7)</em>

<em />

Rate of change is the slope. 2:1 would mean a slope of simply, 2.

We need to find slope of each of the choices from A - D and see which one has 2. The formula would be:

m=\frac{y_2-y_1}{x_2-x_1}

Where m is the slope and

x_1 is first x point

x_2 is second x point

y_1 is first y point

y_2 is second y point

Let's calculate slope of each of the choices.

A.

m=\frac{y_2-y_1}{x_2-x_1}\\m=\frac{-7+11}{-2+4}\\m=2

THis one is okay.

B.

m=\frac{y_2-y_1}{x_2-x_1}\\m=\frac{12-6}{-5-5}\\m=-\frac{3}{5}

THis one is not 2:1.

C.

m=\frac{y_2-y_1}{x_2-x_1}\\m=\frac{-11+3}{-4-0}\\m=2

THis one is okay.

D.

m=\frac{y_2-y_1}{x_2-x_1}\\m=\frac{7+3}{5-0}\\m=2

This one is okay.

Hence, A, C, and D all have rate of change of 2:1

4 0
4 years ago
Find the relative minimum of y = 3x^3 + 12x^2 - 10x - 56
Ilia_Sergeevich [38]

Answer:

(0.4, -57.9)

Step-by-step explanation:

y = 3x³ + 12x² - 10x - 56

dy/dx = 9x² + 24x - 10 = 0

x = [-24 +/- sqrt(24² - 4(9)(-10))]/(2×9)

x = -3.033006505, 0.3663398379

d²y/dx² = 18x + 24

For minima, d²y/dx² > 0 which is at x = 0.3663398379

y = 3(0.3663398379)³ + 12(0.3663398379)² - 10(0.3663398379) - 56

y = -57.90544608

7 0
3 years ago
The angle of elevation of an unfinished tower from a point of 120m away from its base is 25 degrees. How much higher will the to
Sav [38]

Answer:

44.73 m

Step-by-step explanation:

Given that the angle of elevation of an unfinished tower from a point of 120m away from its base is 25 degrees.

Using trigonometry ratio, the height of the tower can be calculated by

Tan Ø = height / base

Tan 25 = height / 120

Make height the subject of formula

Height = 120 × tan 25

Height = 55.96 m

How much higher will the tower need to be raised so that its angle of elevation from the same point will be 40 degrees?

Using the same formula to calculate the new height.

Tan 40 = new height / base

Tan 40 = new height / 120

Make the new height the subject of the formula.

New height = 120 × tan 40

New height = 100.69 m

Increase in height = new height - height

Increase in height = 100.69 - 55.96

Increase in height = 44.73m

Therefore, the tower will need 44.73m to be raised so that its angle of elevation from the same point will be 40 degrees.

4 0
3 years ago
How much must be deposited today into the following account in order to have $ 50,000 in 6 years for a down payment on a​ house?
Charra [1.4K]

Answer:

The Amount initially deposited is $37046.64

Step-by-step explanation:

A = p (1+r/n)^(nt)

A= final amount= $5000

P = principal amount=

r = rate = 0.05

n = number of times compounded

= 6*12

= 48

t = years= 6

A = p (1+r/n)^(nt)

50000 = p (1+0.05/48)^(48*6)

50000= p(1.001041667)^288

50000= p (1.34965)

50000/1.34965= p

37046.64 = p

The Amount initially deposited is $37046.64

3 0
3 years ago
0.75(4x + 2) = 5 - (x + 1.5)<br> X =
djverab [1.8K]

Answer:

The answer is x=1/2 or x=0.5

7 0
3 years ago
Read 2 more answers
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