What is the simplified form of the quantity 12 z-squared plus 25z plus 12 over the quantity 3 z-squared minus 2z minus 8 ? 4z plus 3 over z plus 2 4z minus 3 over z plus 2 4z plus 3 over z minus 2 4z minus 3 over z minus 2

QUESTION POSTED AT 18/01/2020 - 06:42 AM

Answered by admin AT 18/01/2020 - 06:42 AM

(12z^2 + 25z + 12)/(3z^2 - 2z - 8) You have to factor it. You know how to factor it right? (12z^2 + 16z + 9z + 12)/(3z^2 - 6z + 4z - 8) (4z(3z + 4) + 3(3z + 4))/(3z(z - 2) + 4(z - 2)) ((4z + 3)(3z + 4))/((3z + 4)(z - 2)) (4z + 3)/(z - 2)
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Related questions

A line contains the points (82, −96) and (87, −86) . What is the slope of the line in simplified form?

A line contains the points (82, −96) and (87, −86) .What is the slope of the line in simplified form?
Here are the points: (82, −96) and (87, −86) You could let x1=82 and x2=87


ANSWERED AT 19/02/2020 - 04:21 PM


QUESTION POSTED AT 19/02/2020 - 04:21 PM

Thomas buys a cardboard sheet that is 12 by 8 inches. Create an equation for this situation, find the zeros, and sketch the function. What is the size of the cutout he needs to make so that he can fit the maximum amount of food in the box? If Thomas wants a volume of 12 cubic inches, what size does the cutout need to be? What would be the dimensions of this box? Using complete sentences, explain the connection between the cutout and the volume of the box. Design an equation that would work for any cardboard sheet length, q, and width, p.

For the answer to the question above,

1. If we let x as the side of the square cut-out, the formula for the capacity (volume) of the food dish is:
V = (12 - 2x)(8 - 2x)(x)
V = 96x - 40x^2 + 4x^3
To find the zeros, we equate the equation to 0, so, the values of x that would result to zero would be:
x = 0, 6, 4

2. To get the value of x to obtain the maximum capacity, we differentiate the equation, equate it to zero, and solve for x.
dV/dx = 96 - 80x + 12x^2 = 0
x = 5.10, 1.57
The value of x that would give the maximum capacity is x = 1.57

3. If the volume of the box is 12, then the value of x can be solved using:
12 = 96x - 40x^2 + 4x^3
x = 0.13, 6.22, 3.65
The permissible value of x is 0.13 and 3.65

4. Increasing the cutout of the box increases the volume until its dimension reaches 1.57. After that, the value of the volume decreases it reaches 4.

5. V = (q -2x) (p - 2x) (x)

ANSWERED AT 19/02/2020 - 01:10 PM


QUESTION POSTED AT 19/02/2020 - 01:10 PM

What is the answer to 12 = 4/5w ?

12 =  \frac{4}{5} w
Multiply Crusader, we have:
4w = 12*5
4w = 60
w =  \frac{60}{4}
\boxed{w=15}

Confirm that the solution is correct:

12 = \frac{4}{5} w
12 = \frac{4}{5} *15
12 =  \frac{60}{5}
\boxed{12 = 12}(TRUE)

Answer:
\boxed{w=15}

ANSWERED AT 19/02/2020 - 01:09 PM


QUESTION POSTED AT 19/02/2020 - 01:09 PM

8.97 in expanded form

8 + 100 , 9 + 10 , 7 + 1
is that what you meant 

ANSWERED AT 19/02/2020 - 12:27 PM


QUESTION POSTED AT 19/02/2020 - 12:27 PM

If the original quantity is 10 and the new quantity is 7 what is the percent decrease?

7 divided by 10 then subtract 100% =30

ANSWERED AT 19/02/2020 - 12:01 PM


QUESTION POSTED AT 19/02/2020 - 12:01 PM

Can 1/45 be simplified

Hi there!

No, 1/45 cannot be simplified.
Why?
Because the numerator is 1, and whenever the numerator is 1, it can't be simplified, no matter what the denominator is.

Hope this helps!

ANSWERED AT 19/02/2020 - 11:42 AM


QUESTION POSTED AT 19/02/2020 - 11:42 AM

Solve 12^x-2=20 round to the nearest ten-thousandth

12^x = 22 
x * log 12 = log 22 
finsih that then you round it to the nearest thousandth 
that's what i learnt.

ANSWERED AT 19/02/2020 - 11:21 AM


QUESTION POSTED AT 19/02/2020 - 11:21 AM

Write an equation point slope form for the line that goes through the given point with the given slope. (-4,-2);m=-1/2

Y - y1 = m(x - x1)
slope(m) = -1/2
(-4,-2)...x1 = -4 and y1 = -2
now we sub
y - (-2) = -1/2(x - (-4) =
y + 2 = -1/2(x + 4) <=====

ANSWERED AT 19/02/2020 - 01:12 AM


QUESTION POSTED AT 19/02/2020 - 01:12 AM

Which is an equation in a slope intercept form for the line passing through (5,1) and (-4,7) A: y=-2/3x+13/3 B: y=-2/3x-13/3 C: y=2/3x-13/3 D: y=2/3x+13/3

The answer is A.
tbch i plugged them into a graphing calculator... ,:D too tired atm

ANSWERED AT 19/02/2020 - 01:00 AM


QUESTION POSTED AT 19/02/2020 - 01:00 AM

One foot is equal to 12 inches. The function I(f) takes a length in feet (as input) and returns a length in inches (as output). I(f) = 12f If the output number is 36, what was the input number?

This question is actually really easy!

All you need to do is divide 36 by 12.

And you get... 3!!!

ANSWERED AT 19/02/2020 - 12:58 AM


QUESTION POSTED AT 19/02/2020 - 12:58 AM

A nest of ants initially contains 500 individuals. The population is increasing by 12% each week. a) How many ants will be there after : i. 10 weeks ii. 20 weeks b)How many weeks will it take for the ant population to reach 2000.

Answer:

a) (i) 1553 ants

(ii) 4823 ants

b) 12 weeks

Step-by-step explanation:

Given,

The initial number of ants, P = 500,

Also, the rate of increasing per week, r = 12% = 0.12,

So, the number of ants after x weeks,

A=P(1+r)^x

\implies A=500(1+0.12)^x=500(1.12)^x

a) (i) If x = 10 weeks,

The number of ants would be,

A=500(1.12)^{10}=1552.92\approx 1553

(ii) If x = 20 weeks,

The number of ants would be,

A=500(1.12)^{20}=4823.15\approx 4823

b) If A = 2000

\implies 2000 = 500(1.12)^x

4=(1.12)^x

Taking log both sides,

log(4) = xlog(1.12)

x =  12.23 ≈ 12 weeks

ANSWERED AT 19/02/2020 - 12:58 AM


QUESTION POSTED AT 19/02/2020 - 12:58 AM

I need help finding q'(7) where q(x) = f(x)/g(x) because: F is a zig zag line and at x = 7 the coordinates are: (7,5) however the slope is negative on the left and positive on the right so I can't use your regular slope form to figure out how to find the derivative. g(x)'s slope is .5 at the point, where the point is equal to (7, 2.5).

Remember the difference quotient
the deritivie of f(x)/g(x) is  \frac{f'(x)g(x)-g'(x)f(x)}{(g(x))^2}
so
q'(7)= \frac{f'(7)g(7)-g'(7)f(7)}{(g(7))^2}
g(7)=2.5
g'(7)=0.5
f(7)=5
so
q'(7)= \frac{f'(7)(2.5)-(0.5)(5)}{2.5^2}
q'(7)= \frac{f'(7)(2.5)-2.5}{6.25}
now find the slope of f(x) at x=7
take the deritive and evaluate
(try googling a deritive calculator)
or just ask me

basically
the answer is  \frac{f'(7)(2.5)-2.5}{6.25}
just find the slope of f(x) at x=7 (that is the slope at that specitific point, not for the whole graph)

ANSWERED AT 19/02/2020 - 12:58 AM


QUESTION POSTED AT 19/02/2020 - 12:58 AM

How do you write 280.75 in expanded form

As this, Lizzy6tgbh.

(200) + 80 + (0) + (0.7) + (0.05)

Hope this helps!

ANSWERED AT 19/02/2020 - 12:49 AM


QUESTION POSTED AT 19/02/2020 - 12:49 AM

Ratio simplest form of 1 hour and 45 minutes

1/45 can be 45/45=1 whole

ANSWERED AT 19/02/2020 - 12:42 AM


QUESTION POSTED AT 19/02/2020 - 12:42 AM

What is 8/10 minus 1/2?

8/10-1/2
You need to find a common denominator and that would be 20.
You need to do 8*2=16 to find the first numerator.
Then 10*1=10 to find the second one, so far we have
16/20 - 10/20
Then we keep the first fraction change the signto multiply and flip the second fraction to give:
16/20*20/10
The things that are diagonal to each other we can simplify. For example 20÷20=1
Fraction simplified:
8/1 multiply 1/5
Then we multiply 8 and 1 to give 8 and 5 and 1 to give 5.
The final fraction is 8/5.
If you want it as an improper fraction then it would be 1 whole and 3/5

ANSWERED AT 19/02/2020 - 12:41 AM


QUESTION POSTED AT 19/02/2020 - 12:41 AM

What's the perimeter of a rectangle with length 12 m and width 5 m? A. 49 m B. 17 m C. 60 m D. 34 m

The answer is D. 34 m...Hope this helps.

ANSWERED AT 19/02/2020 - 12:37 AM


QUESTION POSTED AT 19/02/2020 - 12:37 AM

Write 4.65 as a simplified ratio.

4 .65 as a ratio is 46:5,though I am probably wrong

ANSWERED AT 19/02/2020 - 12:21 AM


QUESTION POSTED AT 19/02/2020 - 12:21 AM

A. Show that the ratios 10/20 and 30/60 form a proportion by finding a common multiplayer. b. in part (a) are equal by writing them in simplest form.

Show that the ratios 10/20 and 30/60 form a proportion by finding a common multiplayer. b. in part (a) are equal  in simplest form.

ANSWERED AT 19/02/2020 - 12:21 AM


QUESTION POSTED AT 19/02/2020 - 12:21 AM

( simplify the following , using a GCF : greatest common factor. ) Answer all correctly for a brainliest and also a thanks. Don't answer if you don't know it please .

These already are reduced using a greatest common factor

ANSWERED AT 19/02/2020 - 12:18 AM


QUESTION POSTED AT 19/02/2020 - 12:18 AM

Tina thinks of two numbers. She says, "My two numbers add up to 12. Three times my first number plus twice my second number is 29."

The first number is 5 and the second number is 7

ANSWERED AT 19/02/2020 - 12:16 AM


QUESTION POSTED AT 19/02/2020 - 12:16 AM

What is eight dozen in standard form?

Assuming 8 dozen is 96 not 8000000000000 it would be 9.6x10¹. If it is 8000000000000 then it's 8x10¹²

ANSWERED AT 19/02/2020 - 12:12 AM


QUESTION POSTED AT 19/02/2020 - 12:12 AM

What is 15/20 simplified?

Ummm the answer is 3/4

ANSWERED AT 19/02/2020 - 12:11 AM


QUESTION POSTED AT 19/02/2020 - 12:11 AM

What feature do plants have that provide structure and form? a.plants have an exoskeleton, like insects. b.plants have an internal skeleton of bones. c.plants have rigid tubes made of cellulose. d.plants have an external covering that keeps them upright

It should be a.), all plant cells have a cell wall made of cellulose, which acts as exoskeleton and makes them so stable. However on a bigger level this plant cells can also form cellulose fibers, so that c.) is not completely false :)

ANSWERED AT 19/02/2020 - 12:11 AM


QUESTION POSTED AT 19/02/2020 - 12:11 AM

Identify the correct way to write the following in exponential form. 6 x 6 x 6 x 6 x 6 x 6 x 6 x 6 6(8) 86 8 x 6 68

I'm assuming 6(8) is 6^8, and none of the other answers are correct, so the answer is 6(8). This is because you are not multiplying 6 by 8, you are multiplying 6 by 6, but you're doing it 8 times. For example 6 × 6 = 36, 36 × 6 = 216, etc. I hope this helps!

ANSWERED AT 19/02/2020 - 12:11 AM


QUESTION POSTED AT 19/02/2020 - 12:11 AM

Four friends go out to lunch and decide to split the bill evenly. The bill comes to $48.20. How much does each person owe? $24.10 $12 $9.33 $12.05

The answer is 12.05 because 12.05 times 4 is 48.20

ANSWERED AT 19/02/2020 - 12:10 AM


QUESTION POSTED AT 19/02/2020 - 12:10 AM