How do I solve (a+b)(3a-b)(2a+7b)
Please help

Answers

Answer 1

Answer:

Simplifying

-5 + -1(3a + b) + (2a + -7b) = 0

-5 + (3a * -1 + b * -1) + (2a + -7b) = 0

-5 + (-3a + -1b) + (2a + -7b) = 0

Remove parenthesis around (2a + -7b)

-5 + -3a + -1b + 2a + -7b = 0

Reorder the terms:

-5 + -3a + 2a + -1b + -7b = 0

Combine like terms: -3a + 2a = -1a

-5 + -1a + -1b + -7b = 0

Combine like terms: -1b + -7b = -8b

-5 + -1a + -8b = 0

Solving

-5 + -1a + -8b = 0

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '5' to each side of the equation.

-5 + -1a + 5 + -8b = 0 + 5

Reorder the terms:

-5 + 5 + -1a + -8b = 0 + 5

Combine like terms: -5 + 5 = 0

0 + -1a + -8b = 0 + 5

-1a + -8b = 0 + 5

Combine like terms: 0 + 5 = 5

-1a + -8b = 5

Add '8b' to each side of the equation.

-1a + -8b + 8b = 5 + 8b

Combine like terms: -8b + 8b = 0

-1a + 0 = 5 + 8b

-1a = 5 + 8b

Divide each side by '-1'.

a = -5 + -8b

Simplifying

a = -5 + -8b

Step-by-step explanation:


Related Questions

Expand the following

Answers

Answer:

A) 3x +15

B) 8x -2

C) 20x + 10

D) 4x - 8y

Step-by-step explanation:

A) 3x+3 x 5 = 3x + 15

B) 2 x 4x -2 = 8x -2

C) 5 x 4x +5 x 2 = 20x + 10

D) 4x -4 x 2y = 4x - 8y

(Hope this helps can I pls have brainlist (crown)☺️)

Arden has 7/8th yard of ribbon. What is the maximum number of 1/16th yard-long pieces Marilyn can cut from this ribbon?

Answers

Answer:

2/8 is the answer

Step-by-step explanation:

I think the answer

9. On election day, registered voters go to a polling place to cast their vote. a. In a town, 273,600 votes were cast in an election. 57% of those who were registered voted. How many registered voters are there in the town? b. Reese claims that if 60% of the registered voters cast 273,600 votes, there would be fewer registered voters than above. Is he correct? Why or why not?​

Answers

9.) 155,952 were in town
B.) yes he is correct because 60%= 164,160 which is less than the amount of votes

what is 0.0000128 as a fraction

Answers

Answer:

128/10000000 Mark Brainliest Please

Step-by-step explanation:

What is 0.0000128 as a fraction?

To write 0.0000128 as a fraction you have to write 0.0000128 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.

0.0000128 = 0.0000128/1 = 0.000128/10 = 0.00128/100 = 0.0128/1000 = 0.128/10000 = 1.28/100000 = 12.8/1000000 = 128/10000000

And finally we have:

0.0000128 as a fraction equals 128/10000000

Answer:

128/10000000

Step-by-step explanation:

To write 0.0000128 as a fraction you have to write 0.0000128 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.

0.0000128 = 0.0000128/1 = 0.000128/10 = 0.00128/100 = 0.0128/1000 = 0.128/10000 = 1.28/100000 = 12.8/1000000 = 128/10000000

And finally we have:

0.0000128 as a fraction equals 128/10000000

(Hope this helps can I pls have brainlist (crown)☺️)

One eight of a pizza pie is sold for 65 cent. How much will be received

Answers

Answer:

I don't know haha

Step-by-step explanation:

Salamat nalang sa points

Answer:

the whole pizza would cost $5.20

Step-by-step explanation:

1/8 = $0.65

8/8 = 1 = $5.20

0.65 × 8 = 5.2

is this what you mean??

How many solutions does the nonlinear system of equations graphed below have?

A. One
B. Four
C. Two
D. Three​

Answers

Answer:

There are three possible types of solutions for a system of nonlinear equations involving a parabola and a line.

Step-by-step explanation:

guy pls help me!!!!!

Answers

Answer:

Straight line is 180 degrees

Subtract what you know 180-55-90 = 35

(6r-7)=35

35-7=28

28/6=4.66666

r=4.6666

Answer:

7

Step-by-step explanation:

90(right angle) + 55(Acute angle) = 145.

We know the whole angle equals 180 because it is 2 right angles. 90 + 90.

So, we will do 180 - 145 = 35.

Now we know our mystery angle equals 35.

To figure out r, we will do 35 + 7 = 42.

Then, 42 is divided by 6 and gets 7.

Therefore, 7 would be your answer.

-kiniwih426

for the functions u(t) = 7t - 2 and s(t) = t^2 - 9, what is s (u(2))?

Answers

Answer:

[tex]s(u(2)) = 135[/tex]

Step-by-step explanation:

[tex]u(t) = 7t - 2 \\ u(2) = 7(2) - 2 \\ u(2) = 14 - 2 \\ u(2) = 12 \\ \\ s(t) = {t}^{2} - 9 \\ s(u(2)) = {(12)}^{2} - 9 \\ s(u(2)) = 144 - 9 \\ \\ s(u(2)) = 135[/tex]

I hope I helped you^_^

For the functions u(t) = 7t - 2 and s(t) = t² - 9. s(u(2)) = 135

What is a function?

A function is a mathematical equation that shows the relationship between two variables.

For the functions u(t) = 7t - 2 and s(t) = t² - 9.To find what is s(u(2)), we proceed as follows.

Since u(t) = 7t - 2. Then u(2) is evaluated when t = 2. So, we have that

u(t) = 7t - 2

u(2) = 7(2) - 2

u(2) = 14 - 2

u(2) = 12

Now, since u(2) = 12 and s(t) = t² - 9

s(u(2)) is evaluated as follows

s(t) = t² - 9

s(u(2)) = 12² - 9

s(u(2)) = 144 - 9

s(u(2)) = 135

So, s(u(2)) = 135

Learn more about function here:

https://brainly.com/question/29631554

#SPJ3

please please please answer ill pay you

Answers

Answer:

Your answer is :

There are three basic Transformations ( changes ) that can be done to a shape. They are Reflection, Rotation, and Translation. These transformations move the shape without making any Changes to its shape or size. A Reflection flips a shape over to create a mirror image. The dotted line in the video is like a Mirror. The copied second shape we see across the line is called an Image. It is exactly Opposite the first shape.

Step-by-step explanation:

Hope this helps!

There are three basic transformations that can be done to a shape. They are reflection, rotation, and translation.

Reflection RotationTranslation

These transformations move the shape without making any changes to its shape or size. A reflection flips a shape over to create a mirror image. The dotted line in the video is like a reflection. (The triangle below on the right side has been reflected (flipped) over the dotted line to create a mirror image. The second shape we see across the line is called an image. It is exactly opposite of the first shape.

Hey guys, our adviser showed us an example on how to solve the problem that is given in our module. Unfortunately, there's a part of the given example that I can't recall. So, can you explain how to get the answer? (picture above)​

Answers

Given :

45x[ 4/9 = 1/5 + 1/x ]

To Do :-

To multiply 45x to all the terms .

Solution :-

Given that ,

45x[ 4/9 = 1/5 + 1/x ]

Distributive property of Multiplication over addition ,

a( b + c ) = ab + ac

So that ,

45x * 4/9 = 45x* 1/5 + 45 x * 1/x 5x * 4 = 9x + 45 20x = 9x + 45

Step-by-step explanation:

As it says, multiply 45x to all the terms. This is required to get rid of fractions.

See the steps below:

45x [ 4/9 = 1/5 + 1/x]45x(4/9) = 45x(1/5) + 45x(1/x)    ⇒ multiply5x(4) = 9x + 45                          ⇒ simplify20x = 9x + 45                            ⇒ end result without fractions

What is 2/7 ÷ 4/5 ? Plz help

Answers

Answer:

5/14

Step-by-step explanation:

How high can Ron lift a feather with his magic?

Answers

Answer: 705 cm

Step-by-step explanation:

Ron and Hermione are lifting feathers into the air with magic. Hermione can lift a feather 3,525

centimeters (cm) into the air. That is 5 times as high as Ron can lift a feather.

How high can Ron lift a feather with his magic?

Hermione = 3,525 cm

Hermione = 5 × Ron

Substitute Hermione = 3,525 cm into

Hermione = 5 × Ron

3,525 = 5 × Ron

Ron = 3,525 / 5

= 705

Ron = 705 cm

u may not understand this but what is 10 g/cm³ a measure of
. is it Volume Mass or density

Answers

Density. Unit of Mass is Kg or gram or pound. Unit of Volume is cubic meter/cm or whatever the length unit used.

What is 1.07 + 42.5 HELP PLSSSSSSSSSSSS

Answers

Answer:

43.57

Step-by-step explanation:

Line up the decimal points.

Add a 0 for 1.07 so the numbers have the same length.

01 . 0 7

42. 5 0

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

43.57

Answer:

1.07+42.5

=1.07+42.5

=43.57

Step-by-step explanation:

Add the numbers

Make 42.5 equal to 42.50 for better understanding when calculating

A functionf(x) is graphed on the coordinate plane.


What is the function rule in slope-intercept form?



Enter your answer in the box.

f(x)=

Answers

Answer:

y = -1/2x + b  meaning f(x) = -1/2x + b

Step-by-step explanation:

Use two points on the graph that you can find the value of  or use Slope = raise/run

let use points (2,0) and (0, 1)

slope = (change in the y-value)/(change in the x-value.

slope = (1 - 0)/(0 - 2)

slope = 1/-2 or -1/2

Or starting at point (2, 0) the run(x movement) = -2 and the raise is 1.

slope = raise/run

slope =  1/-2 or -1/2

Using one point (2,0) and the slope of -1/2, substitute into the slope intersect form, y = mx + b, and solve for "b" .

y= mx + b

0 = -1/2(2) + b

0 = -1 + b

1 = b

Now write your equation: y = mx +b where m = -1/2 and b = 1

y = -1/2x +b

please help me :)

see image below

Answers

Answer:

x=6

Step-by-step explanation:

2x+5=17            

-5       -5    

2x=17-5

2x=12

x=6    

Answer:

2x+5=17 is x = 6, so 17 --> -5 --> ÷2 I hope this helps! :D



Easy? Please help me

Sarah earns $


8.50

8.50 per hour babysitting. She needs to make at least $

187

187 to buy a new bike.


Write an inequality to represent the number of hours Sarah needs to work to afford the bike.



187

h



8.50

187h≥8.50


187

h



8.50

187h≤8.50


8.50

h



187

8.50h≥187


8.50

h



187

8.50h≤187

Answers

Answer:

The answer is A

Step-by-step explanation:

Hope it helps!

one kilometer is 1000 meters complete the tables what is the interpretation of the constant of proportionality

Answers

Answer:

Step-by-step explanation:

Left side:

250=1/4 km (0.25)

12 meters=0.012

1 meter= 0.001

Right side: 5=5000 meters

20=20000 meters

Step-by-step explanation:

Left side: You divide each number by 1 km, and you should get the answer.

Right side: Do the same for the right side. But, instead of division, use multiplication.

Which of these is NOT discrete data:
A. toppings on a pizza
B. boys in a family
C. temperature outside
D. planks in a deck

Answers

Answer:

C. temperature outside

Step-by-step explanation:

Discrete data is information that can only take certain values. ... This type of data is often represented using tally charts, bar charts or pie charts. Continuous data is data that can take any value. Height, weight, *TEMPERATURE* and length are all examples of CONTINUOUS data. = not discrete data

I believe, hope it is correct

Simplify the expression using the order of operations. (21−3)÷32​

Answers

Step-by-step explanation:

(21 - 3) ÷ 32

BIDMAS

Brackets: 21 - 3 = 18

Division: 18 ÷ 32 = (0.5625)

Vector q has a magnitude of 3.5 meters and points due west. Vector r has a magnitude of 3.5 meters and points due east. Both vectors have the same terminal point, but different initial points.
Are the two vectors equivalent?

A
Yes, because the vectors have the same magnitude.
B
Yes, because the vectors the same terminal point.
C
No, because the vectors do not have the same initial point.
D
No, because the vectors do not have the same direction.

Answers

[tex]\huge\mathtt\colorbox{white}{D}[/tex]

By definition, two vectors are equal if and only if they have the same magnitude in the same direction.

[tex]\huge\underline\mathsf\colorbox{cyan}{pl go with D}[/tex]

HELPPP PLEASEEE
If θ is 180 degrees and the radius is 4.9 cm, the length should be

A) 10.4 cm
B) 13.6 cm
C) 15.4 cm
D) 16.6 cm

Answers

Answer:

15.4 is right ans

Step-by-step explanation:

using this formula θ ×(22÷7÷180)×r

√(112) - √(80) / √(20) - √(28) = ?​

Answers

[tex]\large\underline{\sf{Solution-}}[/tex]

We need to solve,

[tex]\dfrac{\sqrt{112}-\sqrt{80}}{\sqrt{20}-\sqrt{28}}[/tex]

We can write the above mentioned expression as,

[tex]\sf\longmapsto\dfrac{\sqrt{2\times2\times2\times2\times7}-\sqrt{2\times2\times2\times5}}{\sqrt{2\times2\times5}-\sqrt{2\times2\times7}}[/tex]

So,

[tex]\sf\longmapsto\dfrac{\sqrt{4\times4\times7}-\sqrt{4\times4\times5}}{\sqrt{2^2\times5}-\sqrt{2^2\times7}}[/tex]

So,

[tex]\sf\longmapsto\dfrac{\sqrt{4^2\times7}-\sqrt{4^2\times5}}{\sqrt{2^2\times5}-\sqrt{2^2\times7}}[/tex]

Hence,

[tex]\sf\longmapsto\dfrac{4\sqrt{7}-4\sqrt{5}}{2\sqrt{5}-2\sqrt{7}}[/tex]

Taking common in respective terms,

[tex]\sf\longmapsto\dfrac{4(\sqrt{7}-\sqrt{5})}{2(\sqrt{5}-\sqrt{7})}[/tex]

On cancelling 4 with 2,

[tex]\sf\longmapsto\dfrac{4\!\!\!/^{\:2}(\sqrt{7}-\sqrt{5})}{2\!\!\!/(\sqrt{5}-\sqrt{7})}[/tex]

[tex]\sf\longmapsto\dfrac{2(\sqrt{7}-\sqrt{5})}{(\sqrt{5}-\sqrt{7})}[/tex]

Taking (-) common,

[tex]\sf\longmapsto\dfrac{-2(\sqrt{5}-\sqrt{7})}{(\sqrt{5}-\sqrt{7})}[/tex]

So, (√5 - √7) gets cut,

Hence,

[tex]\longmapsto\bf\dfrac{\sqrt{112}-\sqrt{80}}{\sqrt{20}-\sqrt{28}}=-2[/tex]

(2,4) is perpendicular to y:2x

Answers

Answer:

is a Step-by-step explanation:

combination

A selection in which order has no importance.A mathematical symbol, or combination of symbols, representing a value, or relation. Example:

2

+

2

=

4

.equation

A mathematical statement that says two expressions have the same value; any number sentence with an

=

.

ordered pair

Set of two numbers in which the order has an agreed-upon meaning, such as the Cartesian coordinates

(

x

,

y

)

, where the first coordinate represents the horizontal position, and the second coordinate represents the vertical position.

solution

1. The value of a variable that makes an equation true.

2. In chemistry, a solution is a homogeneous mixture composed of only one phase.

Line j passes through the points (-5,-2)
and (5,4).

Line k passes through the point
(-3,6) and is perpendicular to line j.

Find an equation for line k.


**the answer is probably in slope intercept form.

Answers

Answer:

y = - 5/3x + 1

Step-by-step explanation:

Slope of line j = (-2-4)/(-5-5)

Slope = -6/-10 = 3/5

Slope of the perpendicular line k: -5/3

Point of line k: (-3,6)

y-intercept of line k = 6 - (-5/3)(-3) = 6 - 5 = 1

your friend says that there are 36 feet in 12 yards is your friend correct? explain your reasoning.

PLEASE HURRY!!​

Answers

Answer:

Yes

Step-by-step explanation:

1 yard is 3 feet. so 12 yards is 36 by 12*3

P(A) is the power set of A. Show that-
(i) P(AUB) = P(A) ∩ P(B) is always true, but
(ii) P(AUB) = P(A) U P(B) may not be always true.​

Answers

[tex]\large\underline{\sf{Solution-}}[/tex]

Let assume that,

[tex]\rm \longmapsto\:A \: = \:\{x\} \: [/tex]

and

[tex]\rm \longmapsto\:B \: = \:\{y\} \: [/tex]

[tex]\rm\implies \:A \: \cap \: B = \phi [/tex]

and

[tex]\rm \longmapsto\:A\cup B = \{x, \: y\}[/tex]

We know,

Power set of a set A is defined as set of subsets of A.

So,

[tex]\rm \longmapsto\:P(A) = \{ \phi ,\: x\}[/tex]

and

[tex]\rm \longmapsto\:P(B) = \{ \phi ,\: y\}[/tex]

and

[tex]\rm\implies \:P(A \: \cap \: B) =\{ \phi \}[/tex]

and

[tex]\rm \longmapsto\:P(A\cup B) = \{\phi ,x,y,xy\}[/tex]

Now, Consider

[tex]\rm \longmapsto\:P(A)\cup P(B) = \{\phi ,x,y\}[/tex]

and

[tex]\rm \longmapsto\:P(A\cup B) = \{\phi ,x,y,xy\}[/tex]

[tex]\rm\implies \:\boxed{\tt{ \: P(A)\cup P(B) \: \ne \: P(A\cup B) \: }} \\ [/tex]

Now, Consider

[tex]\rm \longmapsto\:P(A\cap B) = \{\phi \}[/tex]

and

[tex]\rm \longmapsto\:P(A) \: \cap \: P( B) = \{\phi \}[/tex]

[tex]\rm\implies \:\boxed{\tt{ \: P(A)\cap P(B) \: = \: P(A\cap B) \: }} \\ [/tex]

A quality manager for a publishing company checks 3 of every 250 books printed for typos. At that rate, how many of every 15,000 books will be checked for typos?

Answers

Answer:

Print between 25 - 2,000 books. Your price per book will go down as your quantity increases.

Step-by-step explanation:

10 points and a brainliest…plz answer

Answers

Answer:

Identify the numerical terms in the following expression

a) x-y+7

b)-18-5 x^2+2y^2.

Step-by-step explanation:

Finally......

Just kidding Im just here to wasting your time

Please i need another example like this but not the same or else im gonna fail Ill also mark brailiest

Answers

The answer is 58 i hope this helped you and didn’t make you fail lol
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