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3 years ago

Describe the transformation using the values for slope (m) and the y-intercept b. Compare the graph to the parent y = x.

Mathematics

1 answer:

ra1l [238]3 years ago

8 0

Answer:

See attached

Step-by-step explanation:

y = mx + b - slope-intercept form

m- is the slope, the greater the slope the steeper the line, it gets flatter when is getting closer to zero

b- y-intercept, if be is positive it indicates vertical shift up, when negative- vertical shift down

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PLEASE HELP ASAP GIVING 100 POINTS

Inessa [10]

Answer:

3.98 meters

Step-by-step explanation:

First we need to know the formula for finding the height of a cylinder

$h=\frac{V}{\pi r^2}$

Now That we know our formula, we just need to put in our numbers and simplify

$h=\frac{5000}{\pi 20^2}$

$h=\frac{5000}{1256.637}$

$h=3.97887$

4 0

2 years ago

Graph of a cubic polynomial that falls to the left and rises to the right with x intercepts negative 3, negative 2, and 2

Tasya [4]

Answer:

f(x) = x3 + 3x2 − 4x − 12

Step-by-step explanation:

A polynomial which falls tot he left and rises to the right is a function with a positive leading coefficient. Its formed by the x-intercepts or zeros x = -3, -2 and 2. The zeros form the factors (x+3)(x+2)(x-2). Multiply the factors using the distributive property to find the function in standard form.

(x+3)(x+2)(x-2)

(x^2 + 3x + 2x + 6)(x-2)

(x^2 + 5x + 6)(x-2)

x^3 + 5x^2 + 6x -2x^2 - 10x - 12

x^3 + 3x^2 - 4x - 12

4 0

3 years ago

What is the volume of the cylinder below radius 8 height 3 in pi units Answer choices: A)96pi unit^3 B)192pi unit^3 C)225pi unit

WARRIOR [948]

Hey!

The formula for finding volume of a cylinder is: π · r² · h

$r = 8 \\ r^{2} = 8 \times 8 = 64$

$h = 3$

Now multiply

$\pi \times 64 \times 3 = 192\pi$

<em>Your answer is B)192π units³</em>

Good luck and hope this helps! :)

7 0

3 years ago

Christine, Dale, and Michael sent a total of 71 messages during the weekend. Dale sent 9 fewer messages than Christine. Michael

Alisiya [41]

Answer:

Micheal sent 40 messages, Christine sent 20, and Dave sent 11.

Step-by-step explanation:

Christine, Dale, and Michael sent a total of 71 messages

C + D + M = 71

Dale sent 9 fewer messages than Christine

D = C - 9

Michael sent 2 times as many messages as Christine

M = 2C

Plug-in the numbers.

C + C - 9 + 2C = 71

4C - 9 = 71

4C = 80

C = 20

Now, plug in to other equations for other results.

D = (20) - 9

D = 11

M = 2(20)

M = 40

Micheal sent 40 messages, Christine sent 20, and Dave sent 11.

Verify?

40 + 20 + 11 = 71.

5 0

3 years ago

If the population of a particular country is growing at 1.5 % compounded continuously, how long will it take the population to

DIA [1.3K]

$e^{0.015t}=3$
Taking natural logs of both sides, we get
0.015t=ln 3
t = ln 3/0.015 = 73.24

The answer is 73.24 years.

5 0

3 years ago