Mathematics College

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Find all real solutions to

x^2 + 4x + 4 = 100x^2 + 20x + 1.

If you find more than one, then list the values separated by commas.

Answers

Answer 1

Answer:

factor:

x^2+2x+2x+4

x(x+2)+2(x+2)

(x+2)(x+2)

100x^2+20x+1

100x^2+10x+(10x+1)

10(10x+1)+(10x+1)

(10x+1)(10x+1)=(x+2)(x+2)

Hope this helps you

Answer 2

Answer:

1/9, (-3)/11

Step-by-step explanation:

Both the left and right side are perfect squares,

                                         (x + 2)^2 = (10x + 1)^2

In order for the squares to be equal, we must have the inner expressions equal to each other or negations of each other:

                                         (x + 2) = [tex]\pm[/tex] (10x + 1)

or

                                         x + 2 = -10x - 1

Simplifying the first equation gives 9x = 1 so 1/9 and simplifying the second equation gives 11x = -3, so (-3)/11

Related Questions

Write an equivalent expression for each the following:
a. x + x + x+ 2x + x =
b. (x + 2) (x + 2) =
c. y + y + y + y + 10 + y + 1 =​

Answers

A) is 3x plus 3x b) is 2x multiply by 2x

A cash register contains $10 bills and $50 bills with a total value of $1080. If there are 28 bills total, then how many of each does the register contain?

Answers

Answer:

20 $50 bills

8 $10 bills

Step-by-step explanation:

Find how many $10 and $50 bills are in the cash register.

Make a systems of equations:

t = Amount of $10 bills

f = Amount of $50 bills

10t + 50f = 1080

t + f = 28

Lets solve for $50 bills first:

10t + 50f = 1080

-10(t + f = 28) = -10t - 10f = -280

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

Solve for f:

10t + 50f = 1080

-10t - 10f = -280

40f = 800

Divide both sides by 40.

f = 20

There are 20 $50 bills.

Now we need to find how many $10 bills are in the register.

Plug in 20 to "f" in one of the equations and solve for "t".

Solve:

t + 20 = 28

Subtract 20 from both sides.

t = 8

There are 8 $10 bills.

Your answer should be:

20 $50 bills

8 $10 bills

A card is chosen at random from a standard deck of cards. What is the probability that the card chosen is a heart or spade? Are these events mutually exclusive?

Answers

Answer:

a. Probability is 50%

b. Picking either a heart or spade is mutually exclusive

Step-by-step explanation:

There are 52 cards in a deck of cards.

Of those 52, 13 are hearts and 13 are spades.

The probability of picking wither of them is therefore:

= (13 + 13) / 52

= 26/52

= 50%

Mutually exclusive events are those that cannot occur at the same time. You can either pick a heart or you can pick a spade. You cannot pick both at the same time so these are mutually exclusive.

Two buses leave towns 304 miles apart at the same time and travel toward each other. One bus travels 14 mih slower than the other. If they meet in 2 hours, what is the rate of each bus?

Answers

Answer:

The faster bus moves at 83mi/h and the slower one moves at 69mi/h.

Step-by-step explanation:

Let's define:

R₁ = rate of bus 1, this is the faster one.

R₂ = rate of bus 2, this is the slower one.

We know that one bus travels 14mi/h slower, then:

R₂ = R₁ - 14mi/h.

Now we know that:

Distance = Speed*Time.

If we add the distances that both busses travel in 2 hours, it should be equal to the initial distance between the buses, then:

R₁*2h + R₂*2h = 304 mi

Then we have the two equations:

R₂ = R₁ - 14mi/h

R₁*2h + R₂*2h = 304 mi

The first step is to replace the first equation in the second one, to get:

R₁*2h + (R₁ - 14mi/h)*2h = 304 mi

And now we can solve this for R₁.

R₁*2h + R₁*2h - 14mi/h*2h = 304 mi

R₁*4h - 28mi = 304mi

R₁*4h = 304mi + 28mi = 332mi

R₁ = 332mi/4h = 83mi/h

The faster bus moves at 83mi/h

And we know that the slower one moves at 14mi/h slower than this, then:

R₂ = R₁ - 14mi/h = 83mi/h - 14mi/h = 69 mi/h

In which of the following expressions is 5 a coefficient?
5y + 42
19x + 4y + 5
O x² + 4x2
Ox+3+2x X

Answers

Answer:

The first one

Step-by-step explanation:

I hope this helps with your answer :)

Answer:

The first one, 5y +42

Step-by-step explanation:

A coefficient is a variable with a number multiplied to it. Ex. 3y

Only in the first one is 5 a coefficient.

It was John's birthday, 1/2 of his cupcakes were choco lava, the other half was strawberry. There were 10 strawberry cupcakes. Rick ate 2/4 of choco lava cupcakes. Steward ate 1/10 of the strawberry How much did Rick and Steward eat?

Answers

If there were 10 strawberry cupcakes then chocolate would have the same number as 10= 1/2. Then 2/4 can be simplified to 1/2 meaning that Rick are 1/2 of 10 and 1/10 is just one out of the 10 strawberry cupcakes.

Rick ate 5 Chocolate Cupcakes

Steward are 1 Strawberry Cupcake

Answer:

6 cupcakes or 6/10 or 3/5

Step-by-step explanation:

a/27 = -3.23

K/(1.2)= -0.07

54.6 = 4.2y

-7.2y = 61.2
Math rush please help

Answers

Answer:

K/(1.2)= -0.07

54.6 = 4.2y

-7.2y = 61.2

Math rush please help

Step-by-step explanation:

a/27 = -3.23

K/(1.2)= -0.07

54.6 = 4.2y

-7.2y = 61.2

Math rush please help

H+4.78=8.02 evaluate

Answers

Answer:

h=3.24

Step-by-step explanation:

Bebe's Bakery can bake 175 loaves of bread in 5 hours as shown on the double number line diagram below. 5 Number of Hours Loaves of Bread 175 At that rate, how many loaves of bread can Bebe's Bakery bake in 8 hours? A. 35 loaves B. 240 loaves C. 280 loaves D. 350 loaves​

Answers

Answer:

double number line diagram below. 5 Number of Hours Loaves of Bread 175 At Bakery bake in 8 hours? A. 35 loaves B. 240 loaves

Step-by-step explanation:

a machine fills boxes at a constant rate at the end of 35 minutes it has filled 5 boxes which table represents the relationship between the number of minutes the minutes fills boxes and the number of boxes it has filled.​

Answers

Answer:

well you see the times go up by whatever the first number is so solve it that way

Step-by-step explanation:

On Tuesday Bob, Larry, and Joe studied for their Algebra test. Bob
studied for 12 minutes less than Larry, and Joe studied twice as long
as Bob. How many minutes did each student study if they studied a
total of 96 minutes?

Answers

Answer:

Bob- 33, Larry- 21, Joe- 42

Step-by-step explanation:

Set up the equation with x=the amount of time Larry spent studying. x+(x-12)+2(x-12)=96. Distribute and combine: 4x-36=96. Add 36 to both sides (4x=132), and then divide by 4 (x=33). Larry studied 33 minutes, subtract 12 to find Bob, and then double Bob's time to get Joe's study time.

14) The ratio of green to red gummy bears in a package is 3:7. If there are a total of 80
gummy bears in the package, how many gummy bears are red?

Answers

Answer:

There are 56 red gummy bears

Step-by-step explanation:

The ratio of green to red gummy bears is = 3 : 7

Total gummy bears = 80

We need to find how many gummy bears are red?

We can write it as:

3x : 7x

where x is the common ratio.

We can write:

Quantity of Green gummy bears = 3x

Quantity of Red gummy bears = 7x

Total Gummy bears = 80

So, 3x+7x = 80

10x = 80

x = 8

Now, finding quantity of Red gummy bears by putting x = 8

7x = 7(8) = 56

So, There are 56 red gummy bears

An artist can create 4 pieces of pottery in 2 hours. What’s the artist’s unit rate?

Answers

Answer- 4:2 because there are 4 pieces being made in 2 hours.

34) Which equation is equivalent to: 3r=78+14 ?
A. −3r=−78+14
B. 3r−14=78
C. 3r=78−14
D. −3r=78−14

Answers

It’s B. (Note: The image below isn’t mine but I can assure you it is B)

Which is rational and irroational

Answers

Answer:

1. Rational

2. Irrational

3. Irrational

4. Irrational

5. Rational

Step-by-step explanation:

I am not 100% this is correct, but I tried my best

Hope this helps!

~PurpleMist

solve using the order of operations 5 x (2+4) -52

Answers

Answer:

-22

Step-by-step explanation:

Order of Operations:

Parenthesis

Exponents

Multiplication and Division

Addition and Subtraction

First, you need to do parenthesis first so inside the parenthesis is 2+4 which is 6

Now the equation looks like this:

5 x 6-52

Since there are no exponents we can skip that step, next is multiplication so 5 x 6 is 30 so the equation now looks like this:

30-52

Subtract and you will have

-22

Hope this helps!

Hey there! Do [tex]\bold{PEMDAS}[/tex][tex]\bold{Parentheses}[/tex][tex]\bold{Exponents}[/tex][tex]\bold{Multiply}[/tex][tex]\bold{Divide}[/tex][tex]\bold{Add}[/tex][tex]\bold{Subtract}[/tex][tex]\bold{5\times(2+4)-52}}[/tex][tex]\bold{2+4=6}[/tex][tex]\bold{5\times6-52}[/tex][tex]\bold{5\times6=30}[/tex][tex]\bold{30-52=-22}[/tex][tex]\boxed{\boxed{\bold{Answer:-22}}}\checkmark[/tex]Good luck on your assignment and enjoy your day!~[tex]\frak{LoveYourselfFirst:)}[/tex]

I will give brainiest to whoever answers correctly !!

Answers

Answer  

50%

Step-by-step explanation:

lmk if its right lol...

Answer:

it's 50%

Step-by-step explanation:

PLEASE MARK ME AS BRAINLIEST

You buy a watch that cost $45.50. The tax on the watch is 7.5%. What is the final cost of the watch? *
1 point
$3.41
$53.00
$42.09
$48.91

Answers

Answer:

$48.91

Step-by-step explanation:

$45.50 * 1.075 or 7.5% = $48.91

D is the correct answer 48.91$

(m−3+4n)⋅(−8) What is the answer

Answers

Answer:

The correct answer is,

[tex] - 8m + 24 - 32n[/tex]

-8m+24-32n because you have to multiply every number that is in the parentheses by -8

In 1999 the student enrollment at a college was 13% more than it was in 1998 if the enrollment was 12,204 in 2000 which was 8% more than 1999 find the enrollment in 1998

Answers

Answer:

10,000

Step-by-step explanation:

Help me please. It means a lot

Answers

Answer: Jonny makes $15 per hour working at Target. He gets a bonus at the end of the month for $85. This month, he made a total of $685. Write an equation to show how many hours he worked

Step-by-step explanation:

1 is 51

2 is 34

3 is 95

5 is 47

6 is 74

7 is 59

Ok that should be right if I didn't mix anything up!

PLEASE HELP IT IS DUE TODAY!!Alicia drew a map of Texas. in the scale Alicia used for the map 1/2 inch represents 20 miles. What is the distance between two cities on the map of the actual between the two cities is 360 miles please help me :( Thank you

Answers

Answer:

9in on the map

Step-by-step explanation:

1/2in=20m or 1in=40m

360/40=9

9in

The function P(d) = 1 + + gives the pressure, in atmospheres (atm), at a depth d feet in
the sea. Find and interpret P(59). Do not round your answer.
59
331
At a depth of 33 feet, the pressure is 59 atm.
b) 22; At a depth of feet, the pressure is 59 atm.
c) 39; At a depth of 59 feet, the pressure is atm.
d) 33; At a depth of 59 feet, the pressure is 3 atm.

Answers

Answer:

c) 39; At a depth of 59 feet, the pressure is atm.

please help asap!!!!!!!

Answers

Answer:

c = 20

Step-by-step explanation:

Given that,

A rectangle PQRS,

QT = c and ST = 4c-60

We need to find the value of c.

We know that the diagonals of a rectangle bisect each other such that,

QT = ST

Putting values,

c = 4c - 60

Taking like terms together,

60 = 4c - c

60 = 3c

c = 20

Hence, the value of c is 20.

Are the two figures similar? If so, give the similarity ratio of the smaller figure to the larger figure.

Answers

Answer:

yes 1:2

Step-by-step explanation:

Set up the ratio

Cylinder(1) = 6.4:3.2

Cylinder(2) = 4:2

Is 6.4/3.2 = 4/2?

12.8 = 12.8!

So yes.

What is an imaginary number?

Answers

An imaginary number is a complex number that can be written as a real number multiplied by the imaginary unit i, which is defined by it's property i² = −1. The square of an imaginary number bi is −b². For example, 5i is an imaginary number, and it's square is −25.

The Stanford Times had 2,700 subscribers last year.This year, after the paper was bought out, it had 17% more. How many subscribers were there this year?

Answers

17% of 2700=459

17% more= 2700+459

Subscribers this time=3,159

Harper knows he is 50 yards from school. The map on his phone shows that the school is 34 inch from his current location.
How far is Harper from home, if the map shows the distance as 3 inches?

Answers

if 34 inches = 50 yards then 1 inch = 50/34
so 1 inch = 1.47058824 yards

3 inches = 4.41176471
you can round this number up to 4.41 yards depending on what the paper says

please help asap!!!!!!!!!

Answers

Answer:

Z=25

Step-by-step explanation:

Angle C and D are Supplementary so

3z-15+7z-55=180

10z-70=180

10z=250

z=25

Write an equation in the first box (use x as your variable). Then, solve (in second box).

Answers

Answer: 3.2x = 48

Step-by-step explanation: So that means x = 15.

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