Expand and simplify the following expressions : 1.(a-5)(a-7)
2.(x-2y)(3x+4)
3.(4x+3y)(4x-3y)
4.(6x-7y)(6x+7y)​

Answers

Answer 1

Answer:

1. (a-5)(a-7)

a2 - 12a + 35

2. (x-2y)(3x+4)

3x2 +4x - 6xy - 8y

3. (4x+3y)(4x-3y)

16x2 - 9y2

4. (6x-7y)(6x+7y)

36x2 - 49y2

(the twos after the letters means squared)

:)


Related Questions

Ajar contains 100 coins. If it is very unlikely that you will randomly choose a quarter out of the jar, how many quarters
could be in the jar?
10
85
50
35

Answers

I would say 10. :)))))
✧・゚: *✧・゚:*  Answer:  *:・゚✧*:・゚✧ ✅ The answer is 10. ✧・゚: *✧・゚:*  Explanation:  *:・゚✧*:・゚✧ ❗ The answer is 10 because the probability is very unlikely and there are 100 coins so if there are 10 quarters it makes it very unlikely ~ ₕₒₚₑ ₜₕᵢₛ ₕₑₗₚₛ! :₎ ♡ ~

Sergio has p paintings in his art collection. He and other local painting collectors agreed to donate a total of 48 paintings to the local museum. In each of the 12 collectors will donate the same number of paintings. How many paintings will Sergio have in his art collection after his donation?

Answers

Answer:

Since there are 48 paintings being donated by 12 collectors, then we can say that each collector will donate 4 paintings.

This means that Sergio will have 4 less paintings then he had before, which was represented by pp . Thus, our expression is now \boxed{p - 4}p−4 .

Answer:

Sergio would have 4 paintings less

Step-by-step explanation:

48 total painting

12 painting collectors donated

They all donated the same amount

So each local painting collector donates the same amount of paintings

so 48 divided by 12 = 4

So each painting collector would donate 4 painting each

We don't know how much painting Sergio had in total before but we do know how much he donated which is 4

20 % of the m&ms are red. There were 40 m&ms in the bag . How many red m&ms are there?

Answers

Answer:

8 Red M&M's

Step-by-step explanation:

40 M&M's × 0·20 = 8 red M&M's in the bag

Hope this helps, plz mark brainliest!

answer 8 red m&ms are there

Step-by-step explanation:

20/100*40

100/20=5

40/5=8

answer is 8red m&ms are there

Find the perimeter of the image below: (4 points)


a. 37 units
b. 38 units
c. 39 units
d. 40 units

Answers

Answer:

The correct answer is 39 units.

Parameter is the sum of the lengths of all sides of a polygon. The sides of the polygon are PT, TS, SR, RQ, and QP. To get the length of a side, we use the distance formula:

d =

Each vertex in the polygon has its corresponding points:

P (-2,11)

T (8, 7)

S (1, 7)

R (2, 0)

Q (-4,5)

So to get the length of side PT, we use the distance formula and the vertices of side PT:

P  = (-2, 11)

T  = (8, 7)

The length of PT is

The same procedure is done for the other 4 sides and the following are the answers:

TS =

SR =

RQ =

QP =

And by adding all the sides, you get the perimeter:

By rounding off, the answer is 39 units.

Step-by-step explanation:

it would be 39 units i’m almost positive

Please help me
50 points

Answers

Answer:

f(x)=3(-1)+10 Answer: 7

f(x)=3(0)+10 Answer: 10

f(x)=3(1)+10 Answer: 13

f(x)=3(4)+10 Answer 22

Is 3 a factor of 24s - 167
yes
no

HELPPP

Answers

I dont think so.....
I think the answer is no. Because when you would subtract you wouldn’t get 3. If you subtract 167 - 24 you get 143 but if you keep subtracting you get -1 is the lowest. Before -1 you get 143, 119, 95, 71, 47, 23, then immediately goes to -1.

Please help, will give brainlist

Answers

Answer:

[tex]x^{2}-2+\frac{20}{x+7}[/tex]

Step-by-step explanation:

x + 7) x³ + 7x²- 2x + 6 ( x²- 2

        x³ + 7x²

                     -2x + 6

                     -2x - 14

                           +20

Therefore, we can write the expression in the remainder quotient form as,

[tex]x^{2}-2+\frac{20}{x+7}[/tex]

(-8,6); slope = 1/4

Turn into y intercept equation !

Answers

if you only have a point and slop you would use the formula- y-y1 = m(x-x1)

with your number the equation would be y-6 = 1/4(x+8)

the eight became a positive because in the equation the x is negative and a negative times a negative is a positive*

you would the solve the equation to be in y=mx+b form and it would be
y=1/4x +8

i hope this helped

Anyone know the answer?!

Answers

Answer:

I think it's 5 to the power of 8

Step-by-step explanation:

Just put (5^4)2 in the calculator to get 390,625. Then put 5^8 in the calculator to get the same number 390,625.

4. Ms. Beltran buys songs from a music website. She buys 20 songs for $12.
a. What is the price per song?

Answers

Answer:$1.67

Step-by-step explanation:

Divide 20 and 12 to get 1.6666666 round the number and you get 1.67

If a factory can make 28 candles in 2 hours how many can make in 1 hour

Answers

Answer: 14 candles in 1 hour

Step-by-step explanation: To find how many candles they can make in 1 hour, simply divide 28 by 2.

28/2 = 14 candles in 1 hour.

The factory will be able to make 14 candles in 1 hour hope this helped!!

which of the following choices is a possible length for DF? 17 39 19

Answers

Answer:

39

Step-by-step explanation:

What is the exact volume of the cylinder

Answers

Answer:

Volume =   πr2h

=  π×52×9

=  225π

=  706.85 inches3

Step-by-step explanation:

Evaluate each expression for the given value of each variable.
SHOW YOUR WORK!
10y + x², x is 6 y is 4

Answers

Answer:

76

Step-by-step explanation:

10 * 4 + 6 ^ 2  = 40 + 36 = 76

Find the equation of the exponential function represented by the table below

Answers

Answer:

[tex]y=4^x[/tex]

Step-by-step explanation:

[tex]y=4^x[/tex]

For x=0

[tex]y=4^{0}=1[/tex]

For x=1

[tex]y=4^1=4[/tex]

For x=2

[tex]y=4^2=16[/tex]

Answer:

Step-by-step explanation:

Identify the horizontal asymptote of each graph.
y = 0
y = 1
y = 6

Identify the horizontal asymptote of each graph.
y = 0
y = –3
y = –5

Answers

Answer:

y = 0 and y = -3

Step-by-step explanation:

The horizontal asymptote of each graph is:

1. y=0

2. y= -3

What is asymptote?

An asymptote of a curve y = f (x) that has an infinite branch is called a line such that the distance between the point (x, f (x)) lying on the curve and the line approaches zero as the point moves along the branch to infinity.

1.Given function:

 t(x)= [tex]6^{x}[/tex]

If we apply limit x→∞, then we get y=c as horizontal asymptote

So, [tex]\lim_{x \to \infty} 6^{x}[/tex]= 0

Hence, the asymptote will by y=0.

2. Given function:

t(x)= [tex]5^{x}[/tex]-3

If we apply limit x→∞, then we get y=c as horizontal asymptote

So, [tex]\lim_{x \to \infty} 5^{x} -3[/tex]= -3

Hence, the asymptote will by y=-3.

Learn more about asymptote here:

https://brainly.com/question/4608493

#SPJ2

Solve for x. Show all work plz.
3(x + 5) = x - 7

Answers

Answer:

x = - 11

Step-by-step explanation:

3(x + 5) = x - 7

3x + 15 = x - 7

2x  = -7 - 15

2x = - 22

x = - 11

Hope this helps!

Plz I need help god bless who ever answers this

Answers

Answer:

22

Step-by-step explanation:

We know that 50% is the same as .50 or 1/2

so we can just divide

44/2=22

and that would get you your answer :)

PLEASE HELP ASAP!!! WILL MARK BRAINLIEST


Which functions are increasing?
Select all answers that are correct.

Answers

Answer:

Step-by-step explanation:

i think its the two on the bottom

if I'm wrong I'm so sorry

hope this helps

Answer:

The left one below.

Step-by-step explanation:

Because a function is increasing if as x gets larger.

A hot air balloon is flying at a constant speed of 20 mi/h at a bearing of N 36° E. There is a 10mi/h cross wind blowing due east. What is the balloon's actual speed and direction? Round angles to the nearest degree and other values to the nearest tenth.

Answers

Answer:

The actual speed = 27.12 mi/h

Direction = 36.5° in NE(north of east)

Step-by-step explanation:

As given , A hot air balloon is flying at a constant speed of 20 mi/h at a bearing of N 36° E.

⇒θ = 36°

Let v₀ be the constant speed, then v₀ = 20

Let vₓ be the speed in East direction

     [tex]v_{y}[/tex] be the speed in North direction

So,

vₓ  = v₀ sin(θ) = 20 sin(36°) + 10 ( As given, There is a 10mi/h cross wind blowing due east.)

⇒vₓ  = 20(0.588) + 10 = 11.76 + 10 = 21.76 mi/h

and   [tex]v_{y}[/tex]  = v₀ cos(θ) = 20 cos(36°) = 20(0.809) = 16.18 mi/h

Now,

the actual speed = √(vₓ)² + ([tex]v_{y}[/tex])²

                            = √(21.76)² + (16.18)²

                            = √473.498 + 261.792

                            = √735.29 =  27.12

⇒The actual speed = 27.12 mi/h

Now,

Direction = θ = [tex]tan^{-1}(\frac{v_{y} }{v_{x} } ) = tan^{-1}(\frac{16.18 }{21.76 } ) = tan^{-1}(0.74) = 36.5[/tex]

⇒ Direction = 36.5° in NE(north of east)

Answer:

27.1 mi / h; N 53° E

Step-by-step explanation

HELPPPP iLL GIVE YOU BRAINLIEST
Miguel wants to determine how long it takes him to run a mile on any given day. If he collects his running times for 14
days, he can determine the time it usually takes him to run a mile by
A. calculating the sum of all of the running times
B. subtracting the longest time from the shortest time
C. adding the values together and dividing by 14
D. adding the longest time to the shortest time and dividing by 2

Answers

Answer:

it would be D

Step-by-step explanation:

and I say this because i did this before.

Answer:

C

Step-by-step explanation:

It's basically finding the average or mean of the problem, so he would add up all his times and divide by 14 because that's the total "amounts" he has. Hope this helped!

Translate the phrase into an algebraic expression. The quotient of y and 4​

Answers

Answer:

y/4

Step-by-step explanation:

There are two numbers whose difference is 1 and the sum of their squares is 61.
What are the numbers?

Answers

The numbers are 6 and 5 because 6-5=1 and 6^2=36 or 6*6=36,5^2=25 or 5*5=25. 36+25=61

i will give brainly thingy if right and fast enough What is the solution of 3x+3<15?

Answers

Your answer is X (4

3x+3<15


3x<12


X<4

Find sin(0)
A. DE/EF

Answers

Answer: D. DE/DF

Step-by-step explanation: I got it right on edg...

Someone please help?

Answers

Answer:

42°

Step-by-step explanation:

its 42° because its smaller than 48° and that's the only option smaller lol

Answer:

42 degrees

Step-by-step explanation:

The angle forms a right angle, which in total would be 90 degrees.

48 + 42 would be the only option because it is the only one that adds up to 90 degrees.

Yesterday, a movie theater sold 278 bags of popcom. A large bag of popcorn costs $3. A small bag of popcom costs $1. In all, the more theater made shes from
popcorn sales. Write and solve a system of equations to find how many bags of each size of popcom were sold.

Answers

Answer:

They sold 175 small popcorns and 103 Large popcorns

Step-by-step explanation:

The equation is

L + S = 278 this means the total large and small popcorn that they sold is 278

3L+1S= 484  The owner of the question told me the total profit is 484

When we solve we can turn the first equation into L=-S+278

we substitute  L=-S+278 into 3L+1S=484 we get  -3S+ 834+ S= 484

-3S+834+1S=484

-2S+ 834= 484

-2S=- 350

2s= 350

s= 175

We know that they sold 175 small popcorns now. Now we Substitute 175 into L+ S= 278 and get L+ 175=278

L+175=278

L= 103

They sold 175 small popcorns and 103 Large popcorns

Help
Which one is for 1,2 ,and 3

Answers

x-5, y+9

because -5 then positive 5 up


The population in England goes up by 1/5 every year. If the population was £20mil in 2008 what would be the population in 2010?

Answers

Answer:

1/5 = 20%

20.000.000 x 20% =4.000.000 / year

from 2008 to 2010 is : 2 years

So the population in 2010 is : 20.000.000 + ( 4.000.000 x 2 ) = 28.000.000 population

Step-by-step explanation:

Kyle swims a 1/2 mile every 1/4 hour. How far will he swim in one hour?

Answers

Answer:

2 miles per hour

Step-by-step explanation:

She miles 1/2 mile every 15 minutes or 1/4 hours so

1/2*4=2 miles per hour

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