factorize
a)a²x+2ax-3x+5a²+10a-15
b)(a+b)(a-b)-a+b
c)x³-x²+x+x²y-xy+y​

Answers

Answer 1

Answer:

(a)x(a^2+2a-3)+5(a^2+2a-3)


Related Questions

Which of the following questions are true? Select two that apply.

Answers

Answer: A and C

Step-by-step explanation:

The other choices aren't correct because

B. [tex]x^{\frac{4}{5} } =\sqrt[5 ]{x^{4}}[/tex]D. [tex](\sqrt{x^{3} } )^{8}=(x^{\frac{3}{2} } )^{8}=x^{\frac{24}{2} } =x^{12}[/tex]

Determining a Local Maximum and Minimum

Analyze the table of values for the continuous function,
f(x), to complete the statements.
A local maximum occurs over the interval __
A local minimum occurs over the interval ___

Answers

Answer:

x=-1x=-3

Step-by-step explanation:

Algebra level

There is a bag filled with 5 blue, 4 red and 3 green marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 different colours?

Answers

Answer:

66%

bcz out of 3 stuff in 100% is 66%

66% is the answer for ur question

Q = (√x-5)² + (√x+4)-41​

Answers

Answer:

. .

Step-by-step explanation:

x^2-9x√x-12

solve by using formula (a+b)^2 and open the brackets

q = ( x ) 2 − 9 x − 12

Jon and Kristen are both increasing the number of minutes they jog each day, as shown in the tables.

Jon
Day Minutes
0 15
1 17
2 19
3 21
Kristen
Day Minutes
0 22
1 23
2 24
3 25

Which system of linear equations could be used to determine which day they will jog for the same number of minutes, where d represents the day and m represents the number of minutes?

Answers

Answer:

A system of linear equations that could be used to determine which day they will jog the same number of minutes is presented as follows;

m = 2·d + 15

m = d + 22

Step-by-step explanation:

The table of values for the number of minutes Jon and Kristen jog each day is presented as follows;

Jon

[tex]\begin{array}{ccc}Day&&Minutes\\0&&15\\1&&17\\2&&19\\3&&21\end{array}[/tex]

Kristen

[tex]\begin{array}{ccc}Day&&Minutes\\0&&22\\1&&23\\2&&24\\3&&25\end{array}[/tex]

The slope of the data representing Jon's data, m = (21 - 15)/(3 - 0) = 2

Therefore, the equation representing Jon's data is given as follows;

m - 15 = 2·d

m = 2·d + 15

The slope of the data representing Kristen's data, m = (25 - 22)/(3 - 0) = 1

Therefore, the equation representing Kristen's data is given as follows;

m - 22 = d

∴ m = d + 22

The system of linear equations that could be used to determine which day they will jog the same number of minutes is therefore;

m = 2·d + 15

m = d + 22

The answer is in the picture below!

what is the x? please answer!

Answers

Answer:

x = 2

Step-by-step explanation:

1. distribute 9 in 9(x+1)

9x + 9 = 25 + x

2. subtract x from the right side to isolate x onto one side

8x + 9 = 25

3. subtract 9 from the left side

8x = 16

4. divide both sides by 8 to get x alone

x = 2

In Reba's toy bin there are 15 red blocks. There are 16 more yellow blocks than red blocks. There are also 13 more blue blocks than red blocks. How many blocks are there in all?

Answers

If you add them all it’s about 44

Answer:

74

Step-by-step explanation:

16 more than 15 equals 31

13 more than 15 = 28

15 + 31  + 28 = 74

On Saturday, the fruit and juice bar was selling 22 glasses of fruit punch an hour. By 4 p.m., they had sold 132 glasses. If their goal was to sell more than 264 glasses of fruit punch, which inequality can be used to find h, the number of hours they must stay open to make their goal?
A. 132 + 22h > 264
B. 22h < 264 + 132
C. 132 + 22h < 264
D. 132 + 264 > 22h

Answers

Answer:

A. 132 + 22h > 264

Step-by-step explanation:

Hourly sales = 22 glasses of fruit punch

Sales by 4 p.m = 132 glasses

Goal = more than 264 glasses

h = number of hours they must stay open to make their goal

The inequality:

132 + 22h > 264

22h > 264 - 132

22h > 132

h > 132/22

h > 6 hours

This means, the number of hours they must stay open to make their goal of more than 264 glasses is more than 6 hours

Factor 4n4 + n3. find the factor

Answers

Answer:

n^3( 4n+1)

Step-by-step explanation:

4n^4 + n^3

2*2*n^3*n + 1*n^3

Factor out the common terms

n^3( 4n+1)

find the angle measures given the figure is a rhombus.​

Answers

Answer:

92

Step-by-step explanation:

180-88

Find the volume of the water tank shown.
Depth: 1.8 m
Diameter : 2.4m
Volume = ? m3 (nearest m3)

Answers

Answer:

Step-by-step explanation:

r = d/2

r = 2.4 m/2 = 1.2

h = 1.8

pi = 3.14

Volume = pi * r^2 * h

Volume = 3.14 * 1.2^2 * 1.8

Volume = 8.139

Volume = 8 to the nearest m^3

PLEASE HELP DUE TODAY

Answers

Answer:

is it your homework?

Step-by-step explanation:

Determine the rule of a quadratic function in factored
form given the following information:
.
the zeros are (-2,0) and (4,0)
it passes through the point (5,14)
.

Answers

Answer:

[tex]y=2(x+2)(x-4)[/tex]

Step-by-step explanation:

Hi there!

Factored form: [tex]y=a(x-r)(x-s)[/tex] where r and s are two zeros

Given that the zeros are (-2,0) and (4,0), we know that -2 and 4 are r and s in the above equation. Plug these in:

[tex]y=a(x-(-2))(x-(4))\\y=a(x+2)(x-4)[/tex]

Now, to solve for a, plug in the given point (5,14) as (x,y):

[tex]14=a(5+2)(5-4)\\14=a(7)(1)\\14=7a\\a=2[/tex]

Therefore, a=2. Plug this back into the original equation:

[tex]y=2(x+2)(x-4)[/tex]

I hope this helps!

The perimeter of a rectangular painting is 320 cm. If the length of the painting is 96 cm, what is its length

Answers

Answer: Width/length = 64 cm

Step-by-step explanation:

Concept:

Here, we need to know the concept of rectangle perimeter.

A perimeter is either a path that encompasses/surrounds/outlines a shape.

P = 2 (w + l)

w = width

l = length

If you are still confused, please refer to the attachment below for a graphical explanation.

Solve:

l = 96 cm

P = 320 cm

Given formula

P = 2 (w + l)

Substitute each value into the formula

320 = 2 (w + 96)

Divide both sides by 2

320 / 2 = 2 (w + 96) / 2

160 = w + 96

Subtract 96 on both sides

160 - 96 = w + 96 - 96

w = 64 cm

Hope this helps!! :)

Please let me know if you have any questions

In the following diagram, BAC = 46 degrees, and AD is the bisector of BAC. Find BDA

Answers

Answer:

67 degrees

Step-by-step explanation:

We have a right triangle with the following known values:

B = 90

A = 23 (46/2=23 since AD is the angle bisector)

D = ?

180 = 90 + 23 + D and we solve

67 = D

(x-3).(x+3)-(x+5).(x-1)

Answers

is the dot a multiplication sign? if so the answer is -4x-4 (simplified)
bất đẳng thức đáng nhớ rồi phá cái bên cạnh ra là dc

Which applies the power of a power rule properly to simplify this expression?

Answers

Answer:

D.

Step-by-step explanation:

[7^(-8)]^(-4) =

A power raised to a power: multiply the exponents.

= 7^[(-8)*(4)]

= 7^(32)

Answer: D.

Answer:

7^32, the fourth option

Step-by-step explanation:

For the power rule, if you have a number to a power, for example [tex]x^{a}[/tex] and raise it to another power so it becomes, [tex](x^{a} )^{b}[/tex], We simplify by multiplying the powers together. So the simplified answer would be [tex]x^{(a*b)}[/tex].

Please Help

Select the correct answer.

What is the slope of a line parallel to line r?

A. A line parallel to line r has an undefined slope.
B. 0
C. -1
D. 1

Answers

Answer:

B 0

Step-by-step explanation:

r is a horizontal line

horizontal lines are of the form y= constant

The slope for horizontal lines are 0

Parallel lines have the same slope.

Answer:

B 0

Step-by-step explanation:

the slope of a line is the rise divided by the run, or the Y increase divided by the X increase. the fact that the Y value does not increase makes the slope 0

Can someone explain this / answer it? 18 POINTS + Brainliest

Answers

Answer:

I believe it is because he has exhausted all the different ways to use the 18 m he has. Look below.

Step-by-step explanation:

He has 18 m of wood and he has done:

8+8=16 1+1=2 16+2=18

7+7=14 2+2=4 14+4=18

6+6=12 3+3=6 12+6=18

5+5=10 4+4=8 10+8=18

So he has no more ways to use the 18 m of wood and has exhauseted all the ways.

Please mark brainliest

Anyone could please answer this??​

Answers

Answer:

Ans no. 1 = 14/15

Ans no. 2= 1/192

The sum of a number and 2 is 6 less than twice that number

Answers

Step-by-step explanation:

The first thing we have to do before we can actually do the problem is turn the words into a math equation.

If we use x as our "number," we see that "The sum of a number and 2" can also be written as x+2. The word "Is" almost always means (=), so now we have (x+2) = . The very last part, "6 less than twice that number," means 2x - 6.

So, our whole equation is, (x + 2) = (2x - 6), which simplifies to -x = -8, or

x = 8

Answer:

y = 8

Step-by-step explanation:

number = y

y + 2 = 2y - 6

y + 2 - 2 = 2y - 6 - 2

y = 2y - 8

y - 2y = 2y - 2y - 8

- y = - 8

- y × - 1 = - 8 × - 1

y = 8

need some help with this​

Answers

Answer:

y = 2/3x + 1

Step-by-step explanation:

So, the equation they're looking for is slope and intercept right? I have my own way of doing it, but I'll show it to you too!

For slope: I remember rise/run. What this means is the rise which is how much you go up or down becomes the numerator (number on top of fraction) and the run which is how much you go left or right is the denominator (number on the bottom of the fraction.) What you are looking for to find this is the separation between the dots. If you look at the dot on the y, and the dot that is the closest one when you look at the top right, those are the two we are comparing. We chose those because it's easiest, and the answer choices have no negatives for the slope. Now, from the dot on the y, you have to go up 2, and go to the right 3 to get to the next dot. This makes the fraction 2/3. That's all!

(Not 100%) Intercept: For this, I look for where the dot on the y is. As you can see, it's located +1 above (0,0) That's all!

Hopefully this helps you! :)

Please see picture for question.

Answers

Answer:

7

Step-by-step explanation:

We know that a^b^c = a^(b*c)

7 ^ 1/5 ^ 5

7^ (1/5*5)

7^1

7

The weekly wages of employees of Volta gold are normally distributed about a mean of$1250 with a standard deviation of $120. Find the probability of an employee having a weekly wage lying 1) between $1320 and $970 2) over $1290 3) under $1400

Answers

Answer:

1) 0.7104 = 71%

2) 0.6615 = 66%

3) 0.8944 = 89%

Step-by-step explanation:

1)

Z(low)=-2.333 0.009815329

Z(upper)=0.583 0.720165536

2)

Z(low)=0.333 0.63055866

Z(upper)=8322.908 1

3)

Z(low)=-10.417 0

Z(upper)=1.25 0.894350226

pls pls pls pls help me answer quickly

Answers

Break it into two shapes, a rectangle that is 7 x 10 x 6

And a triangle with a base of 12-10 = 2 and a height of 7

Volume of rectangle : 7 x 10 x 6 = 420

Volume of triangle: 1/2 x 2 x 7 = 7 x 6 = 42

Total volume = 420 + 42 = 462 cubic centimeters.

Answer: 462

Step-by-step explanation: 7 x 12 x 6 = 504                                                                                        7 x 10 x 6 = 420

504 - 420 =84   84/2=42

420 + 42=462

[tex]\frac{3^4}{3^2}[/tex]

Simplify.

Answers

Answer:

[tex]9[/tex]

Step-by-step explanation:

Recall the exponent property [tex]\frac{a^b}{a^c}=(a)^{b-c}[/tex].

Therefore, simplify:

[tex]\frac{3^4}{3^2}=3^{4-2}=3^2=\boxed{9}[/tex]

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]9[/tex]

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Calculating the Answer...}}\\\\\frac{3^4}{3^2}\\------------\\\text{Keep in mind: } \frac{m^a}{m^b} = m ^{a-b}\\\\\rightarrow \frac{3^4}{3^2}\\\\\rightarrow 3^{4-2}\\\\\rightarrow 3^2\\\\\rightarrow 3 * 3\\\\\rightarrow \boxed{9}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Monique made several batches of soup for a potluck supper. Each batch required Three-fourths of a pound of potatoes, and she used a total of 6 and one-half pounds of potatoes. How many batches of soup did Monique make?

Which division and multiplication problems could represent this scenario? Check all the apply.

Answers

Answer:

Number of batches of soup = 8 2/3 batches

Step-by-step explanation:

Each batch of soup = 3/4 pounds of potatoes

Total pounds of potatoes available = 6 1/2 pounds

How many batches of soup did Monique make?

Number of batches of soup = Total pounds of potatoes available / Each batch of soup

= 6 1/2 pounds ÷ 3/4 pounds

= 13/2 ÷ 3/4

= 13/2 × 4/3

= (13 * 4) / (2 * 3)

= 52/6

= 8 4/6

= 8 2/3

Number of batches of soup = 8 2/3 batches

Answer:

B 13/2 divided by 3/4
E 13/2 (4/3)

The graphs below have the same shape. What is the equation of the blue
graph?

Answers

Answer:

B

Step-by-step explanation:

2 units to the right -> -2 in the brackets next to x

4 units down -> -4 as a constant at the end of the equation

How many tacos could you buy with your money? On Tuesday you can buy two tacos and you get one free.

If you had $20 dollars would you have enough money to buy a taco for 37 students on a Tuesday?

Answers

Answer:

due to not much information given and the way you ask the question I would definitely say no

Answer:

Yes you would have enough!

Step-by-step explanation:

Simply multiply .50 by 37 and that gives you 18.5!

I’m really struggling with this problem. Answer with step by step solution is highly appreciated

Answers

You can solve this question with this equation:

[tex]A = Pe^r^t[/tex]

plugging in 6 in the t variable:

[tex]A = 30 e^.^3^4^(^6^)[/tex][tex]A = 230.7 million[/tex]

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