Find the greatest common factor.
7x³a +7x²a²
Enter the correct answer.

Answers

Answer 1

Answer:

7x²a(x + a)

Step-by-step explanation:

7x³a = 7 * x * x * x * a

7x²a² = 7 *x * x * a *a

Common factor = 7x²a

So we have to take the common factor from the two terms

7x³a + 7x²a² = 7x²a ( x + a)


Related Questions

sin(x)
1 – cos(x) – cot(x) = csc(x)

Pls help..

Answers

Answer:

pls find given attachment

Perform the indicated operations and simplify the expression 4x-1/x+4 - x +1/x-5

Answers

Step-by-step explanation:

4x-1

x+-×+1=5

×-5

there are no terms like that

rewrite! Write an new and equivalent equation that is easier to solve

Answers

[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]

Given - an equation in a standard form

To do - simplify the equation so as to obtain an easier one

Since the equation provided isn't in it's general form , let's first convert it ~

General form of a Linear equation -

[tex]\bold{ax + b = 0}[/tex]

The equation after getting converted will be as follows ~

[tex] - 7 + ( \frac{4x + 2}{2} ) = 8 \\ \\ \implies \: \frac{ - 14 + 4x + 2}{2} = 8 \\ \\ \implies \: - 14 + 4x + 2 = 16 \\ \\ \implies \: 4x = 16 + 14 - 2 \\ \\ \implies \: 4x = 28 \\ \\\bold{ General \: form \: \dashrightarrow \: 4x - 28 = 0}[/tex]

hope helpful ~

Calculate the following 87124 + 14997=

Answers

Answer:

87124 + 14997 = 102121

Hope it helpz~ uh..

Carry on learning :)

Answer:

102121

Step-by-step explanation:

A machine produces 225 bolts in 24 minutes. At the same rate, how many bolts would be produced in 40 minutes?

Answers

Answer: 375 bolts

Step-by-step explanation:

Just do 225*(40/24)

heyo!

Given ,

225 bolts in 24 minutes

So in a minute it can produce = 225/24 = 9.3 = 9 bolts

In 40 minutes it can produce = 9 x 40 = 360 bolts

f(x) = xWhat is g(x)?
11(x) = x²
g(x)
O A. g(x) = -3x2
B. g(x) = x2 - 3
Oc. g(x) = -x²
O D. g(x) = -x2 - 3

Answers

the answer is C
explanation

x^2+4x-4=0
Solve by factoring.​

Answers

Answer:

1) As it is the coeficient of x² is 1, we need to find two numbers whose Sum S(x)=3 and the same numbers whose product is 2, P(x)= 2

S(x) = (  ) + (  ) =3

P(x) = (   )  *  (   ) =2

S(x) = ( 2 ) + ( 1 ) =3

P(x) = (  2 )  *  ( 1  ) =2

These numbers in bold will be coeficients of x.

Rewrite the Trinomial x²+ 3x +2 as x² +2x+1x+2

So x²+3x+2 =x²+2x+1x+2

x² +2x+x+2   Put the x in evidence

x(x+2)+1(x+2)  Find the Maximum Common Divider

(x+1)(x+2)

2) x²+x-6=0

Applying the same procedure. Which two integer number whose sum is 1 and whose Product is -6?

S(x) = ( 3  ) + ( -2  ) =1

P(x) = ( 3  )  * ( -2  ) =-6

Rewrite

x²+x-6

x²+3x-2x-6      Group them

x(x+3)-2(x+3)   Common Term

(x+3)(x-2)

3) Since the a coeficient is ≠ 1, a little adjustment must be made on our algorithm for -2x²+4x+30=0

Firstly multiply a*c, in this case -2 * 30 = -60

Which two numbers multiplied by themselves will turn out to be -60 and whose sum is -60? Since we're working with integers factoring out may be very helpful.

P(x)=  ( 10  )  *   ( - 6 )  = -60

S(x) = (  10 )  +  (  -6 )  = 4

Rewriting

-2x²+10x-6x+30   Group them

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

(2x-6)(x+5)   Inserting the -1 to finally adjust

-1(2x-6)(x+5)

4) Explanation is the same principle as a≠1

3x²+4x-4=0

P(x) = ( 6  )  *  (-2  ) = -12

S(x) = (  6 ) +  ( -2  )  = 4

3x²+4x-4 = 3x²+6x-2x-4

3x²+6x -2x+4

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

(3x-2)(x+2)

The other ones are just applications of these, above.

Step-by-step explanation:

Choose all the factors of 12. (Check all that apply.) multiple choice
10
9
2
6
3
8
5
12
7
11
4
1
Please help

Answers

Answer:

Hey!!!!

the answers are 2, 6, 3, 12, 4, 1

Please read the explanation... it always helps..

Step-by-step explanation:

Alrighty... let's begin....

A factor is any number that you can multiply by another number to get a product

So choose the numbers you can mutiply by another number to get twelve... which are...  2, 6, 3, 12, 4, 1

if you are wondering why twelve well... 12 x 1 = 12

i hope this helps!!!!

The factors of 12 will be 6,2,1,12,3,4

A shop has 31 plant pots.
Some are blue, some are yellow and the rest are red.
There are five more blue pots than yellow pots.
There are four times as many blue pots as there are red pots..
Calculate how many pots there are of each colour.

Answers

Answer:

16 blue, 11 yellow, and 4 red

Step-by-step explanation:

Find the surface area

Answers

Answer:

A≈9248.85

Step-by-step explanation:

A=2πrh+2πr2=2·π·32·14+2·π·322≈9248.84877

Solve the equation.
4x – 2 = -3x2 + 3x
x = [ ? ],

Answers

Answer:

[tex]x = - 4[/tex]

Step-by-step explanation:

[tex]4x - 2 = - 3 \times 2 + 3x[/tex]

Calculate the product:

[tex]4x - 2 = - 6 + 3x[/tex]

Rearrange the terms:

[tex]4x - 3x = - 6 + 2[/tex]

Combine like terms:

[tex]x = - 6 + 2[/tex]

Calculate:

[tex]x = - 4[/tex]

Answer:
x = 1/2
Step-by-step explanation:
Combine exponents
4x-x-2=-3^2+3xx
4x-x-2=-3x^2+3x^2
Combine like terms
4x-2=-3x^2+3x^2
4x-2=0
Add 2 to both sides
4x-2=0
4x-2+2=0+2
Simplify:
Add the numbers
4x-2+2=0+2
4x=0+2
Add the numbers again
4x=0+2
4x=2
Divide both sides by the same factor
4x=2
4x/4 = 2/4
Simplify:
Cancel terms that are in both the numerator and denominator
4x/4 = 2/4
X= 2/4
Divid the numbers
X= 2/4
X= 1/2
Solution/ Answer
x= 1/2

Hope this helps

what is 3 1/2 - 2 7/8=

Answers

Step-by-step explanation:

[tex] = 3 \frac{1}{2} - 2 \frac{7}{8} \\ [/tex][tex] = \frac{3 \times 2 + 1}{2} - \frac{2 \times 8 + 7}{8} \\ [/tex][tex] = \frac{7}{2} - \frac{23}{8} \\ [/tex]Now...find the lcm...[tex] = \frac{7}{2} \times \frac{4}{4} - \frac{23}{8} \times \frac{1}{1} \\ [/tex][tex] = \frac{28}{8} - \frac{23}{8} \\ [/tex][tex] = \frac{28 - 23}{8} \\ [/tex][tex] = \frac{5}{8} \\ [/tex]

Answer:

5/8

Step-by-step explanation:

3 + 1/2 - 2 - 7/8

⇒ 3 - 2 = 1

1/2 - 7/8 = ?

⇒ 4/8 - 7/8 = -3/8

1 - 3/8 = 5/8

Alternative approach:

7/2 - 23/8(converted mixed numbers to fractions)

(7 × 8) - (23 × 2) ÷ 2 × 8

= 56 - 46 ÷ 16

= 10/16

= 5/8

A coordinate grid with a line labeled y equals negative 2 x plus StartFraction 3 over 2 EndFraction and passes through the points (9, 1.5) and (1, 0.5). m = –3 and b = negative StartFraction 2 over 3 EndFraction. m = –2 and b = m equals negative 3 and b equals negative StartFraction 1 over 3 EndFraction. m = 2 and b = negative StartFraction 2 over 3 EndFraction. m = m equals StartFraction 3 over 2 EndFraction and b equals negative StartFraction 2 over 3 EndFraction and b = m equals negative StartFraction 3 over 2 EndFraction and b equals negative StartFraction 2 over 3 EndFraction m = -2 and b = m equals negative 2 and b equals negative StartFraction 2 over 3 EndFraction

Answers

The line given by the equation y = 2x + 3/2 have a slope (m) of 2 and y-intercept (b) of 3/2

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

The equation of a line is:

y = mx + b; where m is the slope and b is the y-intercept

The line given by the equation y = 2x + 3/2 have a slope (m) of 2 and y-intercept (b) of 3/2

Find out more on equation at: https://brainly.com/question/2972832

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PLS URGENT! WILL GIVE BRAINLIEST!!!!
A certain company's main source of income is a mobile app. The function h models the company's annual profit (in millions of dollars) as a function of the price they charge for the app (in dollars).
Which of these statements are true?

(A) Greater app price always relates to greater profit.

(B) Greater app price relates to greater profit as long as the app's price is more than about 7 dollars.

(C) The largest possible profit the company can make is 7 million dollars.

(D) The largest possible profit the company can make is about 40 million dollars.

Thank you! God Bless!

Answers

Answer:

(C) The largest possible profit the company can make is 7 million dollars

Step-by-step explanation:

Proverbs 3:5-6

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Trust in the Lord with all your heart

   and lean not on your own understanding;

in all your ways submit to him,

   and he will make your paths straight.

_________________________________________________________

Have a blessed day!!

:)

help me pleaseeeeeeeeeeeeeeeeeeeeeeee

Answers

X=6 is the answer for x
I believe it will be X=6

tan A = 2.053 what is the measure of angle A

Answers

Answer:

A =64.03

Step-by-step explanation:

tan A = 2.053

A = Arctan( 2.053)

A =64.03

A manufacturer inspects 1000 cars and finds that 988 cars have no defects. What is the experimental probability that a car chosen at random will have no defects? If there are 2500 cars in a company, predict the number of cars that are likely to have no defects.

Answers

The experimental probability is the number of cars with no defect/ total cars inspected: 988/100 = 0.988


multiply total cars by experimental probability

2500 x 0.988 = 2470

Answer:

98.8%; 2470 cars

Step-by-step explanation:

How to simplify the problem in the photo?

Answers

Answer:

2^3 a^5 b^4

4b^2 c^3

2^(3-2) a^5 b^(4-2)

c^3

2a^5 b^2

2a^5 b^2 c^3

V
Write 8.4% as a fraction in simplest form.

Answers

Answer:

21/250

Step-by-step explanation:

Converting percentage to fraction :

Divide by 100%8.4%/100%8.4/100Multiply both sides by 10 to remove the decimal8.4 x 10 / 100 x 1084/1000Divide both sides by 4(84/4)/(1000/4)21/250

When looking for interesting facts, avoid using
A. Lists of statistics
B. Quotes from famous people
C. Reliable sources
D. Humor

Answers

Answer:

D: humor.

Step-by-step explanation:

it's just common sense. I am not a gen z so I should know.


What is the slope of the line that passes through the points (-6, 1) and (-6,-4)?
Write your answer in simplest form.

Answers

Answer:

horizontal line

Step-by-step explanation:

The slope formula is m=(y2-y1)/(x2-x1)

-6+6/-4-1

y2-y1 = 0

find the volume of a right prism with base area 32 cm² and height 1.5 cm

Answers

Answer:

1536

Step-by-step explanation:

volume=baseareaxheight

. =32cmsquarex1.5cm

. =1536cm

If the answer is correct please vote



Give the degree of the polynomial. 10yx^5w^4-w^3v^5-5x^11-6​

Answers

10yx⁵w⁴ - w³v⁵ - 5x¹¹ - 6

Degree = biggest exponent = 11

Find the roots of the quadratic equation x^2 + 7x + 10 = 0 by using the quadratic formula​

Answers

Answer:

x = -2, -5

Step-by-step explanation:

x^2 + 7x + 10 = 0

The factors of 10 are as follows:

1, 10

2, 5

We can combine 2 and 5 to make 7

(x +2) (x + 5) = 0

One of these brackets must equal 0 to make the answer 0, as you are multiplying them together

If x + 2 = 0, x = -2

If x + 5 = 0, x = -5

Therefore, x = -2, -5

Hey there!

Answer :x = -5 or x = -2 ✅

Explanation :

QUADRATIC EQUATION:

ax² + bx + c = 0 where a ≠ 0

The sign of the discrimant (b² - 4ac) determines the number of real-number solutions :

If the discrimant is positive, the equation has two real-number solutions.If the discrimant is equal to zero, the equation has one real-number solution.If the discriminant is negative, the equation has no real-number solution.

The solutions of the equation, also called roots, can be obtained with the QUADRATIC FORMULA :

[tex]x = \frac{ - b - \sqrt{ {b}^{2} - 4ac} }{2a} [/tex]

---------------------------------------------------------------

▪️ x² + 7x + 10 = 0

(1) Substitute the letters in the general quadratic equation with their values in the given expression:

a = 1b = 7 c = 10

(2) Determine the sign of the discriminant:

[tex]{b}^{2} - 4ac \\ \\ \Longrightarrow {7}^{2} - 4(1)(10) \\ \\ \Longrightarrow 49 - 40 \: \: \: \: \: \: \: \: \: \\ \\ \Longrightarrow \red{9} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

The discrimant is positive ; the equation has two real-number solutions.

(3) Determine the roots of the equation :

a)

[tex]x_1 = \frac{ - b \: - \sqrt{ {b}^{2} - 4ac } }{2a} \\ \\ x_1 = \frac{ - 7 - \sqrt{9} }{2(1)} \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ x_1 = \frac{ - 7 - 3}{2} \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ x_1 = - \frac{10}{2} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \green{ \boxed{ \red{x_1 = - 5}}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

(b)

[tex]x_2 = \frac{ - b + \sqrt{ {b}^{2} - 4ac } }{2a} \\ \\ x_2 = \frac{ - 7 + \sqrt{9} }{2(1)} \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ x_2 = \frac{ - 7 + 3}{2} \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ x_1 = - \frac{4}{2} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \red{ \boxed{ \green{x_2 = - 2}}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

Therefore, x = -5 or x = -2

▪️ Learn more about quadratic equations :

↣https://brainly.com/question/3843409

HELp!!! 100 POINTS.

What is the formula of g in terms of f?

Answers

Answer: C

Step-by-step explanation: bcuz

Answer:

[tex]\textsf{A)} \quad f\left(-\dfrac{1}{2}x\right)[/tex]

Step-by-step explanation:

From observation of the given graph, function f has been reflected across the y-axis.  

When a graph is reflected across the y-axis, the y-coordinate stays the same while the x-coordinate is negated.

Therefore, replace y = f(x) with y = f(-x), so:

[tex]\implies g(x) = f(-x)[/tex]

It appears that the graph has also been stretched parallel to the x-axis.

When a graph is stretched parallel to the x-axis the x is multiplied by a constant.  If the constant is greater than 1, the graph is compressed.  If the constant is greater than zero and less than 1, the graph is stretched.

As the graph has been stretched, the constant is 0 < c < 1, so:

[tex]\implies g(x)=f\left(-\dfrac{1}{2}x\right)[/tex]

A car travels for 7 hours and 50 minutes at an average speed of 130 km/h. How far has the car travelled (in km)?​

Answers

The car that travels for 7 hours and 50 minutes at an average speed of 130 km/h covered a distance of 1017.9 km.

How to find the distance travelled by a car?

The car travels for 7 hours and 50minutes at an average speed  of 130 km/h.

Therefore,

speed = distance / time

speed = 130 km/h

time = 7 hours 50minutes = 7 + 0.833333 = 7.83 hours

Therefore,

130 = distance / 7.83

cross multiply

distance = 7.83 × 130

distance = 1017.9 km

learn more on distance here: https://brainly.com/question/16587623

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What is the value of x?
Enter your answer in the box.
X =

Answers

Answer:

26°

Step-by-step explanation:

x + 64° = 90° ( being complementary angles)

x = (90 - 64)°

x = 26°

Answer:

x = 26°

Step-by-step explanation:

x + 64° = 90° [right angle]

x = 90° - 64°

x = 26°


[tex] \sqrt[3]{800} [/tex]
between 2 and 3
between 4 and 5
between 9 and 10​

Answers

1. 2.1, 2.2, 2.3, 2.4, 2.5 and 2.6


2. 4.1, 4.2, 4.3, 4.4, 4.5


3. 9 and 10 are whole numbers. All the numbers between them are numbers with decimals thus the answer is none.
NOTE NOT ZERO IT IS (NONE)

There are two boys and 23 girls, what’s the ratio of girls to all children?

Answers

Answer:

23:25

Step-by-step explanation:

Answer:

23/25 23 to 25   23:25

Step-by-step explanation:

Two boys  23 girls=25 children

girls=23

23/25

A cylinder has a base diameter of 12 inches and a height of 13 inches. What is its volume in cubic inches, to the nearest tenths place?

Answers

Given:Diameter= 12 inHeight= 13 inTo find:

The volume of the given cylinder.

Solution:

First, we'll have to find the raduis.

[tex]d = 2r [/tex]

[tex]r = \frac{12}{2} [/tex]

[tex]r = 6 \: in [/tex]

Now, we can work out the volume.

[tex]V = \pi {r}^{2} h[/tex]

[tex]V = \pi \times {6}^{2} \times 13[/tex]

[tex]V = 1470.26536 \: {in}^{3} [/tex]

[tex]\large\boxed{\sf{V = 1470.3 \: {in}^{3}}}[/tex]

Hence, the volume of the given cylinder is 1470.3 cubic inches.

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