Mathematics College

Factor each expression by factoring out the common binomial

5a(y + 4) + 8(y + 4)

Answers

Answer 1

Answer:

Factoring the term [tex]5a(y + 4) + 8(y + 4)[/tex] we get [tex](y+4)(5a+8)[/tex]

Step-by-step explanation:

We need to factor the term: [tex]5a(y + 4) + 8(y + 4)[/tex]

Factoring:

[tex]5a(y + 4) + 8(y + 4)[/tex]

Taking (y+4) common

[tex](y+4)(5a+8)[/tex]

It cannot be further factored.

So, Factoring the term [tex]5a(y + 4) + 8(y + 4)[/tex] we get [tex](y+4)(5a+8)[/tex]

Related Questions

Jordon is mixing water and flour to make a tortilla. The number of cups of water, W needed F cups of flour is described by the equation w= 0.75f

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Complete question :

Jordan is mixing water and flour to make tortillas. The number of cups of water, w, needed for f cups of flour is described by the equation w = 0.75f

How many cups of water are needed to mix with 4 cups of flour?

Answer:

Step-by-step explanation:

Given the relation :

w = 0.75f

Where w = number of cups of water ; f = cups of flour

Cups of water needed to mix 4 cups of flour :

f = 4

w = 0.75(4)

w = 3

Hence, 3 cups of water is required to mix 4 cups of flour.

If m∠ABD = 100 and m∠DBC = 30, then m∠ABC=?

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The measure of angle ABC is 130 degrees

How to determine the measure of ABC?

The angles are given as

ABD = 100

DBC = 30

The measure of angle ABC is calculated using

ABC = ABD + DBC

So, we have

ABC = 100 + 30

Evaluate the sum

ABC = 130

Hence, the measure of angle ABC is 130 degrees

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answer: y=-5x-4
explanation:it just is

Patterns plz help I’ll mark brainliest

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Answer:

you add 4 each time

Step-by-step explanation:

Answer:

Pattern is Input • 4 + 1

What expression is equivalent to this equation?

Answers

Answer:

I think it’s d

Step-by-step explanation:

Answer: the right bottom corner

HOPE THIS HELPS !!

What is the measure of the third angle of a triangle if one angle measures 35 degrees and the second angle measures 40 degrees?

Answers

Step-by-step explanation: It's important to understand that the sum of the measures of the interior angles of a triangle is always 180 degrees.

So let's first add up the measures of the two angles we know.

So we have 30 + 4 which is 75 degrees.

The missing angle will be equal to 180 minus 75.

So the missing angle measure is 105 degrees.

The table below shows the commission for selling cameras in a
shop for one month.
For the first 20 cameras
$150 total
For every additional camera
$15 per camera
John received a $1,110 commission by selling cameras last
month. How many cameras did he sell last month?
cameras

Answers

Answer:

Step-by-step explanation:

You first do 1,110-150= 960 dollars.

Then you divide 960 by 15 dollars = 64 cameras

So the first 20 cameras plus the 64 cameras equal 84 cameras.

Help me out hereeeeeeeeeeeeeeeeeeee

Answers

Answer:

21 DIVIed by 3/7

Step-by-step explanation:

Answer:

12 stamps

Step-by-step explanation:

21 * 3/7 = 9 (to the sister)

21 - 9 = 12 (what he has left)

HELP WHATS THE SLOPE OF THE LINE PARALLEL TO 4x+2y=24

Answers

Answer:

slope of -2

Step-by-step explanation:

the slope of this equation is -2 and the parallel slope would be the same slope.

write the product as a sum: 14cos(39x)sin(19x)

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Recall that

sin(a + b) = sin(a) cos(b) + cos(a) sin(b)

sin(a - b) = sin(a) cos(b) - cos(a) sin(b)

Adding these together gives

sin(a + b) + sin(a - b) = 2 sin(a) cos(b)

To get 14 cos(39x) sin(19x) on the right side, multiply both sides by 7 and replace a = 19x and b = 39x :

7 (sin(19x + 39x) + sin(19x - 39x)) = 14 cos(39x) sin(19x)

7 (sin(58x) + sin(-20x)) = 14 cos(39x) sin(19x)

7 (sin(58x) - sin(20x)) = 14 cos(39x) sin(19x)

what is one hundredth less than 0.549

Answers

Answer:

0.449

Step-by-step explanation:

one hundreth is this 0.100 so if u take that away from 0.549 u get 449

Complete each congruent statement by naming the corresponding angles or side.

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Answer:

blank 1: E

blank 2: R

blank 3: EC

blank 4: TS

PLEASE HELP ASAP! Which of the following statements is true ?

x > z
x < z
x = z

Answers

Answer:

x < z is true

Answer:

x<z is true

Step-by-step explanation:

If AB || CD and AC≅BD, is ACD ≅ CAB? Explain.
A. Yes; the triangles are congruent by AAS.
B. Yes; the triangles are congruent by ASA.
C. Yes; the triangles are congruent by SAS.
D. No; the triangles are not congruent.

Answers

Answer:B. Yes; the triangles are congruent by ASA.

Step-by-step explanation:

In triangle ACD and CAB, AB || CD and AC ≅ BD, B. Yes; the triangles are congruent by ASA.

What is a triangle?

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.

Given,

In triangle ACD and CAB, AB || CD and AC ≅ BD.

Therefore, The triangles ACD and CAB are congruent by ASA as ∠A is congruent to ∠C, Side AB is congruent to side CD and ∠B is congruent to ∠B.

learn more about congruency here :

https://brainly.com/question/7888063

#SPJ2

Pls help ASAP due tonight

Answers

Y= -1/3x +5

5 is the y-intercept (where the line touches the y-axis) and -1/3 is the slope (rise over run, but since its negative, you go down 1, over 3 to the right) Hope this helps!!!

Write the equation of a line that is perpendicular to Y= 4 and that passes through (7,2)

Answers

Answer:

x = 7

Step-by-step explanation:

y = 4 is a horizontal line that passes through the point (0, 4).

A line perpendicular to y = 4 is a vertical line.

In a vertical line, all points have the same x-coordinate.

Since the point (7, 2) is on the vertical line we want, and its x-coordinate is 7, then x-coordinate of all the points on the line we want is 7.

Answer: x = 7

A fruit stand has to decide what to charge for their produce. They need $5.30 for 1 apple and 1 orange.
They also need $7.30 for 1 apple and 2 oranges. We put this information into a system of linear equations,

Answers

Answer:

The price of Apples is $3.30 and the price of Oranges is $2.

Step-by-step explanation:

So first treat the price of apples and the price of oranges as variables. Let's say that the price of an apple is X and the price of an orange is Y.

1 Apple and 1 Orange is $5.30, so the equation is 1X + 1Y = 5.30

1 Apple and 2 Oranges is 7.30 so the equation is 1X + 2Y = 7.30

Now, adjust one of the equations so you can know the price of one thing in relation to the price of the other.

1X + 1Y = 5.30 can become 1X = 5.30 - 1Y

Now substitute this into the other equation.

1X + 2Y = 7.30 becomes 5.30 - 1Y + 2Y = 7.30. Now, either combine the Y values or combine the price values.

5.30 + 1Y = 7.30

Y = $2

Now that you have the Y value, replace it in one of the equations.

1X + 2$ = 5.30

1X = 3.30

It cost Joseph $21.90 to send 146 text messages. How many text messages did he send if he spent $6.45?

Answers

Answer: 43 messages

Step-by-step explanation:

Answer:

Step-by-step explanation:

21.90/146=.15

6.45/.15=43

I will give brainliest

Answers

Answer:

4*4*4=64

Step-by-step explanation:

Cual es el conciente de 8)240

Answers

Answer:

Step-by-step explanation:

jehdnjdidndjdidi

What is the quotient of 2 1/5÷6 3/5 in simplest form?

Answers

Answer:

The quotient for the problem 2 1/5÷6 3/5 in simplest form is 1/3.

HELP!
the choices are: Function A has a greater slope than function B.

Function B has a greater slope than function A.

Answers

Answer:

Function A has a greater slope than function B.

Step-by-step explanation:

A's slope is 2x

Find the slope of the line that goes through the points (-4, 4) and (4, 6).

Answers

Answer:

m/ 0.25

Step-by-step explanation:

dint kill me if its wrong

Answer:

The entered points belong to an increasing, linear function.

Equation: m/0.25

Step-by-step explanation:

please help

Which linear regression equation best fits the given points?

(1, 0), (4, 5), (5, 12), (7, 16), (8, 25), (11, 22), (14, 32)

yˆ=25x+1.9

yˆ=−52x−1.9

yˆ=52x−1.5

yˆ=−25x+1.5

Answers

Answer:

I dont know. Im sorry im struggling with this problem too. I hope you get an answer :)

Write an equation in standard form that has a slope of -1 and passes through the point (-5, -1).

Answers

Answer:

x + y = -6

Step-by-step explanation:

Answer:

y = -x-6

Step-by-step explanation:

For this problem we use point-slope formula:

y-y1 = m (x2-x1)

When we plug in our values, it looks like this:

y-(-1) = -1 (x-(-5))

When we rearrange into slope-intercept form, we get this:

y = -x-6

HTH :)

Sry it’s hard to see but please answer hurry

Answers

Answer:

all of them....take -5, -5*5+8=-25+8,definitely negative....and if -5 is negative, other more extreme options are even more negative

Step-by-step explanation:

HELP HELP HELP help help

Answers

Answer:

Step-by-step explanation:

PLZ HELP ME WITH THIS!!! I WILL GIVE BRAINLIEST!!!

Answers

Answer:

Yes, because if the answer needed to be negative then the two integers have to be negative since you are adding the both to get a negative response.

Step-by-step explanation:

if it was -5 + (-5) = -10 (negative)

Consider a square whose sides are of length x. Draw the largest circle that is completely contained within the square. Find the area of the region that is inside the square and but not inside the circle. Express your answer in terms of x and any other mathematical constants that may be necessary.

Answers

Answer:

A₁ = x²* ( 1 - π /2) square units

Step-by-step explanation:

Let´s call the area of the region that is inside the square but not inside the circle A₁

And the area of the square A(s)

And the area of the circle A(c)

Then the area we are looking for is:

A₁ = A(s) - A(c)

If the circle has a radius r then

A(c) = π*r²

A(s) = x²

In the square diagonal of the square is d = √ x² + x² ; d = √2 * x

Half of this distance is d/2 = (√2 /2)*x

There is a right triangle with points:

o The center of the square (which is the center of the circle)

a Any of the corners of the square

b Middle point of a side of the square

According to that

r the radius of the circle is:

r² + (x/2)² = (d/2)²

r² + (x/2)² = [ (√2 /2)*x]²

r² = (2/4)*x² - x²/4

r² = (x²/2) - x² / 4

r² = (1/2)*x²

r = x/√2

Then the area of the circle is

A(c) = π * r²

A(c) = π * x²/2

And A₁ = x² - π * x²/2

A₁ = x²* ( 1 - π /2) square units or A₁ =[ ( 2 - π)/2 ]*x²

12(x-6)=2(x-9) solve the following equation

Answers

Answer:

x= 27/5

Step-by-step explanation:

for this equation in decimal form it would be 5.4

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Factor each expression by factoring out the common binomial 5a(y + 4) + 8(y + 4)

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Factor each expression by factoring out the common binomial

5a(y + 4) + 8(y + 4)