Add. Simplify, if possible. Help please.

Add. Simplify, If Possible. Help Please.

Answers

Answer 1

Answer: A

Step-by-step explanation:

To add fractions, we want to make sure there is a common denominator. After that, we can add the numerator.

[tex]\frac{8}{z^2+6z+9} +\frac{5}{z^2-9}[/tex]                 [factor denominator]

[tex]\frac{8}{(z+3)(z+3)} +\frac{5}{(z+3)(z-3)}[/tex]      [multiply first fractioni by z-3 and second by z+3]

[tex]\frac{8(z-3)}{(z+3)^2(z-3)} +\frac{5(z+3)}{(z+3)^2(z-3)}[/tex]   [distribute by FOIL]

[tex]\frac{8z-24}{(z+3)^2(z-3)} +\frac{5z+15}{(z+3)^2(z-3)}[/tex]   [add]

[tex]\frac{13x-9}{(z+3)^2(z-3)}[/tex]

This is the same as A. Therefore, A is our answer.


Related Questions

I need help with math please

Answers

Answer:

47/30

Step-by-step explanation:

2.35 * 2/3 =

= 2 35/100 * 2/3

= 2 7/20 * 2/3

= 47/20 * 2/3

= 94/60

= 47/30

Answer:

47/30

Step-by-step explanation:

what is the value of -2|6x -y| when x-3 and y =4

Answers

So, we have been given the following

[tex]-2(6x -y)[/tex]

But, we have also been given heads up that [tex]x=-3[/tex], and [tex]y=4[/tex].

So, that would mean the new equation would be the following.

[tex]-2(6-3 -4)[/tex]

After we solve it our answer should be [tex]2[/tex]!

If this helps then please mark me brainliest!

Answer:

-44

Step-by-step explanation:

Given:

-2|6x -y|x = -3y = 4

Solution:

-2|6*(-3) - 4| =-2|-22| =

Absolute value is always positive, therefore |-22| = 22

-2*22 =-44

Reginald has to put fertilizer on his yard. The bags of fertilizer cost $4.79 and cover 3500 square feet. Reginald's yard is a rectangle that measures 427 ft by 231 ft. How much will he spend on fertilizer?​

Answers

He'll spend 138.91 dollars.

First multiply 427 and 231 to find out how much square feet you need to cover. Then divide the number by 3500 to see how many bags of fertilizer you need. Since there is a remainder, he'll have to buy another bag. Then, multiply the number of bags needed with the price of each bag to get the amount of money spent.

What is the positive square root of 81?

Answers

Answer:

the positive square root of 81 is 9

Step-by-step explanation:

9 times itself equals 81

Danielle put 4.902 gallons of gasoline in a gas tank. What is 4.902 written in expanded form?
A. 4×1+9×110+2×1100
B. 4×1+9×110+2×11,000
C. 4×10+9×110+2×1100
D. 4×10+9×1100+2×11,000

Answers

Answer:

(4* 1) + (9 * 1/10) + (2 * 1/1000)

Step-by-step explanation:

Given the figure : 4.902

Writw the figure above in expanded form:

4.902

Using the place value indicators :

Unit___tenth___hundredth___thousandth

4______9_______0___________2

Unit:

4 × 1

After the decimal point :

Tenth :

9 × 1/10 =

Hundredth :

0 * 1/ 100

Thousandth:

2 * 1/1000

Hence :

(4* 1) + (9 * 1/10) + 0 + (2 * 1/1000)

Answer:   B

Step-by-step explanation:

4x1+9x1/10+2x1/1000

Those are the math questions I need the answers of ​

Answers

Answer:

1)

[tex]12\sqrt{18}-3\sqrt{50}+\sqrt{32}[/tex]

[tex]12\sqrt{9}\sqrt{2}-3\sqrt{25} \sqrt{2} +\sqrt{16} \sqrt{2}[/tex]

[tex]12\times3\sqrt{2} -3\times5\sqrt{2}+4\sqrt{2}[/tex]

[tex]36\sqrt{2}-15\sqrt{2}+4\sqrt{2}[/tex]

[tex]25\sqrt{2}[/tex]

2)

[tex]\frac{1}{5+2\sqrt{6}}[/tex]

Multiply [tex]5-2\sqrt{6}[/tex]:

[tex]\frac{1\times \left(5-2\sqrt{6}\right)}{\left(5+2\sqrt{6}\right)\left(5-2\sqrt{6}\right)}[/tex]

Apply Difference of Squares formula: [tex](a+b)(a-b)=a^2-b^2[/tex]

[tex]\frac{5-2\sqrt{6}}{5^2-\left(2\sqrt{6}\right)^2}[/tex]

[tex]\frac{5-2\sqrt{6}}{25-2^2\left(\sqrt{6}\right)^2}[/tex]

[tex]\frac{5-2\sqrt{6}}{25-4\times6}[/tex]

[tex]\frac{5-2\sqrt{6}}{1}[/tex]

[tex]{5-2\sqrt{6}}[/tex]

a = 5, b = -2

3(8⋅7−45)+5(6⋅4−1) Just checking to see if it is right

Answers

Answer: 148

Step-by-step explanation:

Answer:

3(8⋅7−45)+5(6⋅4−1) = 148

2y=12+4y please show work

Answers

Answer:Step 1: Simplify both sides of the equation.

2y=4y+12

Step 2: Subtract 4y from both sides.

2y−4y=4y+12−4y

−2y=12

Step 3: Divide both sides by -2.

−2y

−2

=

12

−2

y=−6

Answer:

y=−6

 

Step-by-step explanation:

Ok so you have to take away the y term with that is added with the non term and subtract it with the other y term since they’re both positive. Once you get your answer, divide it with the no term number and there’s your final answer.

2y=12+4y
-4y -4y

6y=12

12/6=2

Answer is 2

2 5 x y + =
Solve for Y
Please hellppppppppp

Answers

I do not think all of the question is there.

25 X y = / y would have to

4. Order the set of numbers from least to greatest: (4 points)
5
6
-5,
5.-26
31
6
O
31
6
.- 26, -5,
-5. -
6
O 5
6'
31 -126
-5,
6
O -126
31
5
6
O 5
6'
-5, -√26,
31
6

Answers

Answer:

Sorry to waist your time but no one would know this not even the person who made the question.

Step-by-step explanation:

if x=2⅓-2, then find the value of x³+6x²+12x​

Answers

Answer:

4  19/27

Step-by-step explanation:

x = 2 1/3 - 2

= 1/3

x³ + 6x² + 12x =

= (1/3)³ + 6(1/3)² + 12(1/3)

= 1/27 + 6×1/9 + 12×1/3

= 1/27 + ⁹⁾2/3 + ²⁷⁾4

= (1 + 18 + 108)/27

= 127/27

= 4  19/27

what is the gradient of the line 3x+y=4

Answers

Answer:

The slope is - 3

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

The equation is 3x+y = 4

To find the slope of the line we must first write the equation in the general form above

Make y the subject

That's

y = - 3x + 4

Comparing with the general equation above

Slope of the line = - 3

Hope this helps you

what is b ? -14 - 5b + 2b = -2 - 2(1 - b)

Answers

Answer: B = -2

Step-by-step explanation:

-14 - 5b + 2b = -2 - 2(1 - b)

-14 -3b = -2 -2 + 2b

-14 - 3b = -4 + 2b

-10 = 5b

b = -2

I'm bad at explaining

Answer:

b = -2

have fun

The ratio of toucans to macaws at the zoo was 5 to 7. If there were 60 total birds, how many were macaws?

Answers

Answer:

5+7=12

12=60

7=?

cross multiply

7×60/12

35macaws

Help how do i do these

Answers

Answer:

Step-by-step explanation: What I would do is make the triangle into a square and what ever is mirroring it i would put that for my answer and then I would round it. I used to do this i don't exactly remember. Sorry if this doesn't help.

El M.C.M de: 60; 80 y 90

Answers

Step-by-step explanation:

wrong question.........??????

Answer:

what ?

Step-by-step explanation:

A marine biologist discovered species with a diameter of 0.00085 inches. Express this measurement using scientific notation.

Answers

Answer:

8.5 or 8.50

Step-by-step explanation:

Move the decimal to the right four times, it will be in the middle of the 8 and 5.

The height of a tree is 38 inches. After 4 years, the height is 9 feet 10 inches. How many inches did the tree grow each year?

Answers

The tree grows linearly, then the tree grows each year will be 20 inches.

What is the linear system?

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

The height of a tree is 38 inches.

After 4 years, the height is 9 feet 10 inches.

1 ft = 12 inches

9 ft = 180 inches

Then 9 ft and 10 inches will be

→ 108 + 10

→ 118 inches

The tree grows in 4 years and will be

→ 118 - 38

→ 80 inches

Let the tree grows linearly, then the tree grows each year will be

→ 80 / 4

→ 20 inches

More about the linear system link is given below.

https://brainly.com/question/20379472

#SPJ2

Solve for x: 3x−7=7x+13

Answers

Answer:

x=-5

Step-by-step explanation:

[tex]3x-7=7x+13\\\\3x-7+7=7x+13+7\\\\3x=7x+20\\\\3x-7x=7x+20-7x\\\\-4x=20\\\\\frac{-1}{4}(-4x) =\frac{-1}{4}(20)\\\\x=-5[/tex]

what is 966×54278 what is the answer

Answers

52,432,548 and mark me as branliest it would help a lot :)
52432548 is answer sks

What is the distance between P(-3, 10 ) and Q( 12,-6)

Answers

(15, 16) you’re welcome lol

The differences in y-values the differences in y- values produced by a constant change in x- values in a function are called
differences.

Answers

Answer:

y equals the value of it answer on the question if you compare two apples

Step-by-step explanation:

i took the test to find out

Please help !!!!!!Asap!!

Answers

Answer: x=7, EF=12, FG=15

Step by Step:
(4x-16) + (3x-6) = 7x-22
7x-22=27
7x=27+22
7x=49
x=7

4(7)-16= 12
3(7)-6=15

for auto tech and uhh it’s rlly just about starting a toolbox with tools sort of deal thing with a $600 budget

Answers

Yes, what are you trying to solve? What is the formula?

round 9.69 to the nearest whole number

Answers

I think the answer is 10 because you can go down and you can’t get any higher than that

Rounding 9.69 to the nearest whole number gives us 10.

Given that we need to round the decimal number 9.69 to the nearest whole number,

To round 9.69 to the nearest whole number, we look at the decimal part of the number, which is 0.69.

Since the decimal part is greater than or equal to 0.5, we round the whole number up to the next higher number. In this case, 9.69 is closer to 10 than to 9, so we round it up to 10.

Therefore, rounding 9.69 to the nearest whole number gives us 10.

Learn more about Rounding Numbers click;

https://brainly.com/question/29261078

#SPJ6

The diagram is not drawn to scale
14.
2x-9
Find the value of x.

Answers

Answer:Step-by-step explanation:

10

The value of the x is 8 if after using the property of a similar triangle.

What is the similarity law for triangles?

It is defined as the law to prove that the two triangles have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.

We have a triangle shown in the picture.

By using the property of a similar triangle:

2/1 = 14/(2x-9)

2x - 9 = 7

2x = 7 + 9

2x = 16

x = 8

Thus, the value of the x is 8 if after using the property of a similar triangle.

Learn more about the similarity of triangles here:

brainly.com/question/8045819

#SPJ2

NEED IT ASAP
what’s is the quotient
2 1/5
———
-1/10

Answers

Answer:

2 1/5 ---- 1/10 = 21

10

= 21

10

= 2.1

Step-by-step explanation:

What type of relationship is indicated by the following set of ordered pairs ? I don’t understand it .

Answers

Answer: Since the second differences are constant, there is a quadratic relationship between and .

Step-by-step explanation:

What is the value of -6^2?
-12
036
-36
12

Answers

Answer:

21

Step-by-step explanation:

Steps to solve:

-6^2

-6 * -6

6 * 6

36

Best of Luck!

f(x) = 4x – 10
g(x) = -8x2 + 6x – 10
Find: f(x) · g(x)

Answers

Answer: f(x) · g(x)=-32x³+104x²-100x+100

Step-by-step explanation:

Since we are given f(x) and g(x), all we have to do is multiply them together.

f(x) · g(x)=(4x-10)(-8x²+6x-10)                              [distribute by FOIL]

f(x) · g(x)=-32x³+24x²-40x+80x²-60x+100         [combine like terms]

f(x) · g(x)=-32x³+104x²-100x+100

Now, we have multiplied them together, we have f(x) · g(x)=-32x³+104x²-100x+100.

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