By what percent (%) will a fraction change if its numerator is decreased by 10% and its denominator is decreased by 70%?

Answer:

f(g(x)) = x^4 + 12x^3 + 14x^2 -132x + 123

Step-by-step explanation:

Here, we simply will place g(x) into f(x)

So every x in f(x) is replaced by g(x)

Thus, we have;

(x^2 + 6x + 11)^2 + 2

= (x^2+6x-11)(x^2 + 6x -11) + 2

= x^4 + 6x^3 -11x^2 + 6x^3 + 36x^2 - 66x -11x^2 -66x + 121 + 2

= x^4 + 12x^3 + 14x^2 -132x + 123

Answer:h=a/3b

Step-by-step explanation:

Answer:

pretty sure the answer is C) 54

Step-by-step explanation:

I'm in 10th grade and I been in advanced math for my entire life

Answer:

C) 54

And thanks I really needed it!

Answer:

Step-by-step explanation:

Rewrite the decimal number as a fraction with 1 in the denominator

[tex]0.189 = \frac{189}{1000}[/tex]

Multiply to remove 3 decimal places. Here, you multiply top and bottom by  = [tex]10^{3} = 1000[/tex]

[tex]\frac{0.189}{1} * \frac{1000}{1000} = \frac{189}{1000}[/tex]

In conclusion,

[tex]0.189 = \frac{189}{1000}[/tex]

the simplest form of [tex]\frac{189}{1000}[/tex] is [tex]\frac{189}{1000}[/tex]    because

In order to simplify a fraction there must be:

1. A number that will divide evenly into both the numerator and denominator so it can be reduced. No such number exists for 189 and 1000.

or

2. The numerator must be greater than the denominator, (an improper fraction), so it can be converted to a mixed number. 189 is not greater than 1000.

This fraction is in simplest form:

[tex]\frac{189}{1000}[/tex]    

Have a wonderful day

Answer:

The average rate of change of the height [tex]A_{rate}=1.8[/tex]

Step-by-step explanation:

The average rate of change of a function is given by:

[tex]A_{rate}=\frac{f(b)-f(a)}{b-a}[/tex]

Where:

f(x) is the funtion, in our case [tex]f(x) = y = -0.05x^{2}+3.2x+8[/tex]

f(b) is the function evaluated in b, when b = 20

f(a) is the funtion evaluated in a, when a = 8

Let's find f(a) and f(b):

[tex]f(8) = -0.05(8)^{2}+3.2(8)+8=30.4[/tex]

[tex]f(20) = -0.05(20)^{2}+3.2(20)+8=52[/tex]

Therefore, using the average rate of change equation.

[tex]A_{rate}=\frac{52-30.4}{20-8}=1.8[/tex]

I hope it helps you!

5 times

Step-by-step explanation:

Answer: X is 3 here. Haven't done this math (don't know how to graph) but I found x so it should be hard from here :)

Good Luck

=)

Answer:

X = 6

Step-by-step explanation:

17 - 5 = 12

12/2 = 6

hope this helps...

Answer:

6

Step-by-step explanation:

Find x

Try to get x by itself

2x + 5 = 17

subtract 5 on both sides

2×+5(-5)=17(-5)

by subtracting 5 from its opposite, it turns to 0

now we are left with

2x=12

Next we need to divide

2x is like 2(x) which is multiplication

the inverse is division

when we divide, whatever u do to one side u do to the other

2x/2=12/2

×=12/2

we finally got x by itself

we can break 12/2 even further by dividing and you'd get

×= 6

Answer:

B.

Step-by-step explanation

714.30 was the prior balance

Answer:

360 packages

Step-by-step explanation:

1080 divided by 3 = 360

hope this helps

Answer:

360 packages

Step-by-step explanation:

Answer:

Perimeter = 42 units Area = 57.73 square units

Step-by-step explanation:

Perimeter of an Astroid = 6l ---> 6 x 7 = 42 units

Area of an Astroid = (3 x pi x a^2)/8 = 57.73 square units

- since they are perpendicular, they would add up to 90°

- set them up.

7x + 2 + 5x + 4 = 90

12x + 6 = 90

12x = 84

x = 7

-- let me know if you have questions regarding this.

Answer:

1/6

Step-by-step explanation:

8/48 = 1/6

Answer:

1/6

Step-by-step explanation:

Scale factor = 8/(4*12) = 8/48 = 1/6

Answer:

c. [tex]x^{2}[/tex]

Step-by-step explanation:

Answer:

4.5 hours

Step-by-step explanation:

t=d/r

315/70=4.5

Answer: 9 months.

Step-by-step explanation:

Simple interest = Principal x rate(in decimal)  x Time(in years)

Given: Principal = $15,000 , rate = [tex]5\dfrac12\%=\dfrac{11}{2}\%= 5.5\%= 0.055[/tex]

Interest =  $618.75

let t= time

Then,

[tex]618.75=15000\times 0.055\times t\\\\\Rightarrow\ t=\dfrac{618.75}{15000\times0.055}\\\\\Rightarrow\ t= 0.75\ or\ t=\dfrac34\ year[/tex]

1 year =12 months

[tex]\dfrac34\ year=\dfrac34\times12 = 9\ months[/tex]

Hence, it will take 9 months.

Answer:

20% of $849 is $169.8

849- 169.8

$679.2

6% of $679.2

40.752

$679.2 + $40.752

$719.9

so approx $720

Answer: $719.95

Step-by-step explanation:

Answer: a)  (-4, -2)

cuz that's where the point intersects.

9514 1404 393

Answer:

Step-by-step explanation:

The slope of the line is found using the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (-11 -1)/(2 -(-1)) = -12/3 = -4

Then the point-slope form of the equation for a line can be used to write the equation:

  y -k = m(x -h) . . . . . line with slope m through point (h, k)

Using the first point, the equation is ...

  y -1 = -4(x +1)

__

Simplifying to slope-intercept form, we can find the y-intercept.

  y = -4x -4 +1

  y = -4x -3 . . . . . . . . slope-intercept form

The constant in this equation is the y-intercept: -3, point (0, -3).

Answer:

if i'm not mistaken its 100

Step-by-step explanation:

Answer:

5/2

Step-by-step explanation:

Answer:

whats the question?

Step-by-step explanation:

Answer:

ya

Step-by-step explanation:

22