find the the sulotion set/roots of the following equation
1. x(x + 3) = 28
2.3s(s-2) = 12s
3.( t + 1)²+(t - 8) ² = 45

4.(x + 2)² (x - 2)² 16
_______ + __ = _
5 3 3
5. 4 r
______ + ____ = -2
t - 3 2

Answers

Answer 1
1.

x^2 + 3x = 28

x^2 + 3x - 28 = 0

(x + 7)(x - 4) = 0

Therefore,

x = -7 or 4

2.

3s^2 -6s = 12s

3s^2 - 18s = 0

s(s - 6) = 0

Therefore,

s = 0 or 6

3.

t^2 + 2t + 1 + t^2 -16t + 64 = 45

2t^2-14t + 20 = 0

t^2 -7t + 10 = 0

(t - 5)(t - 2) = 0

Therefore, t = 5 or 2

4 .

3(x^2 + 4x + 4) + 5(x^2 - 4x + 4) = 80

8x^2-8x + 32 = 80

x^ 2 - x + 4 = 10

x^2 - x - 6 = 0

(x - 3)(x + 2) = 0

Therefore,

x = 3 or -2

5.

since r and t are close on the keyboard, I can assume one was a typo, but it wouldn’t matter which.

8 + t(t-3) = -4(t-3)

8 + t^2 - 3t + 4t - 12 = 0

t^2 + t - 4 = 0

Using the quadratic formula,

t = (-1+-sqrt(1^2 -4(1)(-4)))/2(1)

t = (-1+-sqrt(17))/2


Related Questions

Aaliyah has a loyalty card good for a discount at her local hardware store. The item she wants to buy is priced at $39, before discount and tax. After the discount, and before tax, the price is $33.54. Find the percent discount.

Answers

Answer:

14 % discount

Step-by-step explanation:

Item she wants to buy is priced at $39

After the discount, and before tax, the price is $33.54.

39.00 x .14 = 5.46

39.00 - 5.46 = $33.54

Answer:

16.13

Step-by-step explanation:

g(x)=x^2-6/3x+10 g(4)=?

Answers

Answer:

g(4) = [tex]\frac{5}{11}[/tex]

Step-by-step explanation:

Substitute x = 4 into g(x) , that is

g(4) = [tex]\frac{4^2-6}{3(4)+10}[/tex] = [tex]\frac{16-6}{12+10}[/tex] = [tex]\frac{10}{22}[/tex] = [tex]\frac{5}{11}[/tex]

>> Answer

_______

[tex] \: [/tex]

[tex] \sf{g(x) = \frac{ {x}^{2} - 6 }{3x + 10} }[/tex]

[tex] \sf{g(4) = \frac{ {4}^{2} - 6 }{3(4) + 10}} [/tex]

[tex] \sf{g(4) = \frac{16 - 6}{12 + 10}} [/tex]

[tex] \sf{g(4) = \frac{10}{22}} [/tex]

[tex] \sf{g(4) = \bold{\frac{5}{11}} }[/tex]

Please help me with this

Answers

Answer:

13, 25, 37

Step-by-step explanation:

We can take the last two, they are 12 numbers apart. 25-12=13. That’s one of the numbers given. And voila! This is a arithmetic Progression with the rule add 12:

13, 25, 37

Hope this helps! :)

Sarah can make a lemonade drink by mixing 3 cups of lemonade powder with 7 cups of water are necessary to make five lemonade drinks

Answers

Let’s say that the lemonade power is (p) and the water is (w).
Let’s also say that one cup of lemonade is (L)
Since you need 3 cups of (p) and 7 cups of (w) to make 1 of (L), the equation would be f(L) = 3p + 7w
The (L) would be input of how many cups you need
So if you need 5 cups, use 5 as your input
F(5) =3(5)+7(5)
3x5=15
7x5=35
You need 15 cups of Lemonade powder
And 35 cups of water

what is 20/10 as a whole number

Answers

20/10 is same as 20:10 so the whole number is 2

Hi there!

The answer is 2

If you divide 20 by 10, you will get 2 (it's a fact)

Hope it helps

~Just a joyous teen

#CarryOnLearning

Answered by

[tex]-SilentNature-[/tex]


Application 1-a

PROBLEM 1- Completing the cycle.

Requirements:

a. Provide journal entries.

b. Post the entries to the ledger.
c. Prepare the unadjusted trial balance.

d. Provide the adjusting entries.

e. Complete the worksheet up to post-closing trial balance.

f. Prepare the closing entries.

g. Prepare the balance sheet and income statement.


Entity Backspace started operations in 20x1. The following were the transactions for the year ended

December 31, 20x1:


1. The owner invested P 300, 000 cash in the business.

2. The business obtained a 12%, one-year, bank loan of P200, 000 on October 1, 20x1. Principal and

interest are due at maturity date.

3. Purchased office supplies worth P80, 000 for cash (Entity Backspace uses the Asset method).

4. Purchased equipment on November 1, 20x1 for P360, 000 cash. (5 years useful life)

5. Rendered services worth P180, 000 for cash.

6. Rendered services worth P420, 000 on account.

7. Collected P370, 000 accounts receivable.

8. Paid utilities expense of P16, 000.

9. Paid salaries expense of P140, 000.

10. The owner withdrew P100, 000 cash from the business.


Application b

Instruction: For each of the sales terms, determine the following:

1. the amount recorded as a sale.

2. the amount of cash received.

On July 1, 2019, Savery Lace & Boxes sold merchandise with a P 150, 000 list price.

•Trade Discount •Credit Terms •Date Paid

a. 30% 2/10, n/30 July 8

b. 40% 1/10, n/30. July 15

c. - 2/10, n/30. July 11

d. 20% 1/15,n/30 July 14

e. 40% n/30. July 28


Application C

1. On January 1, 20x1, Mr. A and Ms. B formed a partnership. Mr. A contributed cash of ₱500,000
while Ms. B contributed a building with carrying amount of ₱400,000 and fair value of ₱800,000. The
building has an unpaid mortgage of ₱200,000 which is not assumed by the partnership.

Requirement: Provide the journal entry to record the contributions of the partners.​

Answers

…….mkj…rtyui…..io. Hdjdudbdkcurbxjvidjdvfjdnfudbfhfksbxucjd

3. Weight of cats, in pounds: 9, 11, 11, 12, 14, 14, 15, 15, 16, 17, 18, 18, 20, 22
Lowest value:
Highest value:
Spread:
Center value:​

Answers

>> Answer

________

[tex] \: [/tex]

Weight of cats, in pounds: 9, 11, 11, 12, 14, 14, 15, 15, 16, 17, 18, 18, 20, 22

Lowest value: 9

Highest value: 22

Spread: 9 = 1, 11 = 2, 12 = 1, 14 = 2, 15 = 2, 16 = 1, 17 = 1, 18 = 2, 20 = 1, 22 = 1

Center value: (15 + 15)/2 = 30/2 = 15

A rectangular prism has a length width and height of 2/3

Answers

Step-by-step explanation:

A rectangular prism has a length, width, and height of 2/3 inch, 3/5 inch, and 4/7 inch, respectively.

The volume of the rectangular prism is

24/105

cubic inch.

I will gibe brainless A sixth-grade class collects 176 items for recycling. Three out of every eight items are cans, and the rest are bottles. How many bottles does the class collect? Show your work.

Answers

Answer:

66

Step-by-step explanation:

Answer:

66

Step-by-step explanation:

What is 10/10 as a whole number

Answers

✫ Hello there! ✫

10/10 as a whole number is 1.

If a fraction's numerator is the same as its denominator, then the fraction equals 1.

Hope it helps!

~Just a joyous gal

#CarryOnLearning

Answered by

[tex]-SilentNature-[/tex]

The [tex]\frac{10}{10}[/tex] as the whole number is 1.

Given that,

The fraction is [tex]\frac{10}{10}[/tex]We need to write in a whole number.

Based on the above information, the calculation is as follows:

[tex]= \frac{10}{10}[/tex]

= 1

Learn more:brainly.com/question/17429689

help please im mark brainliest I just need to get this finish asap!

Answers

Answer:

See below

Step-by-step explanation:

1. A

2. F

3. G

4. I

Find the area and the circumference of a circle with diameter 7 cm.
Use the value 3.14 for it, and do not round your answers. Be sure to include the correct units in your answers.
cm
Area:
7 cm
Circumference:
Х

Answers

Answer:

area = 38.465^2 cm

circumference = 21.98 cm

Step-by-step explanation:

area =

divide the diameter by itself and multiply radius by itself and multiply by 3.14

7/2 = 3.5 | (3.5)^2 = 12.25 | (12.25) (31.4) = 38.465^2 cm

circumference =

multiply the diameter by 3.14

(7) (3.14) | 21.98

^2 (squared)

Suppose the price level and value of the U.S. dollar in year 1 are 1 and $1, respectively.



Instructions: Enter your answers rounded to 2 decimal places.



a. If the price level rises to 1.40 in year 2, what is the new value of the dollar?



$



b. If, instead, the price level falls to 0.80, what is the value of the dollar?



$

Answers

Answer:

a-2.40, b- 1.60

Step-by-step explanation:

(-7)(1.2) multiplying rational numbers

Answers

Answer:

-119

Step-by-step explanation:

Answer:

-8.4

Step-by-step explanation:

-7 x 1.2

which two ratios represent quantities that are proportional? A. 18/15 and 24/20 B. 33/18 and 66/26 C. 4/6 and 9/12 D. 9/14 and 45/56

Answers

Answer:

Option A is correct.

Step-by-step explanation:

what is 4 and 1/2 divided by (-1 and 3/7)

Answers

Answer:

-3 and 3/20

Step-by-step explanation:

hope it can help you

what is f(x) =|x – 4| + 1 graphed.?

Answers

Answer:

Step-by-step explanation:

Table of value

x            y

2          3

3          2

4          1

5          2

6          3

Anybody know the answer?

Answers

Answer:

Step-by-step explanation:

6= 2(y+2) i need help on this

Answers

Y = 1
This the answer just trust

simplify
[tex](1.25× {10}^{ - 8} )×(8.35× {10}^{ - 5} )[/tex]
simplify ​

Answers

Answer dam it wont let me put it

Step-by-step explanation:

abc

If 49600 dollars is invested at an interest rate of 8 percent per year, find the value of the investment at the end of 5 years for the following compounding methods.

Monthly:

Daily:

Answers

Answer:

Monthly = 31000     Daily = 10950000

Step-by-step explanation:

49,600/6=31000

1825 days in 5 years

1825 x 6000

Hope that helps :)

A rocket is launched from a hill above a lake. The rocket will fall into the lake after exploding at its maximum height. The rocket's height above the surface of the lake is given by g(x)= -16x² + 72x + 80. How long will it take to hit the ground?

Answers

Step-by-step explanation:

g(x)= -16x² + 72x + 80

Plug 2 in to check if it's correct.

g(2)= -16(2)² + 72(2) + 80

-16(4)+128+80

-72+128+80

= 136

What is the distance between the points(-3, 5) and (-3, – 6)?
O 1 unit
O 5 units
O 6 units
b
0 11 units

Answers

Answer:

11 units

Step-by-step explanation:

[tex]\sqrt{(x_{2} - x_{1})^2 + (y_{2}- y_{1})^2 }[/tex]

= [tex]\sqrt{[-3-(-3)]^2 + (-6 -5)^2}[/tex]

= [tex]\sqrt{0^2 + (-11)^2}[/tex]

= [tex]\sqrt{0 + 121}[/tex]

= [tex]\sqrt{121}[/tex]

= 11

solve for x, −3x + 8 < 15

Answers

Answer:

x>-7/3

Step-by-step explanation:

Subtract 8 on both sides:

-3x<7

Divide by -3 on both sides

(You will need to switch the signs when you divide or multiply by a negative)

x>-7/3

Thus, x>-7/3

Hope this helps!

Answer:

7/3

Step-by-step explanation:

-3x+8; Greater than 15:-3x; greater than 15-8=7:_xGreaterthan;7÷3;x Greater than 7/3

find the horizontal and vertical asymptotes of the graph of the function f(x) = 2x^2+1/3x-5​

Answers

Answer:

HA= None VA= 5/3

Step-by-step explanation:

The HA is none because the bottom part is missing x squared so you add x squared and it will be 2/0 which means it's not possible which means HA= none. VA is 5/3 because you set the denominator to 0 so you add 5 then divide by 3 so the answer for VA is 5/3

How many 1/5 cup servings are in
5 3/8 cups? Show your work.

Answers

Answer:

butt

Step-by-step explanation:

Step-by-step explanation:

what do we do, if we want to know how often something fits into another thing ?

we divide.

as we want to know how many 1/5 cups fit into 5 3/8 cups.

so,

(5 3/8) / (1/5)

5 3/8 = (8×5+3)/8 = 43/8

(43/8) / (1/5)

now we also know : dividing by a fraction is the same as multiplying with the upside-down fraction.

(43/8) × (5/1) = (43/8) × 5 = 43×5/8 = 215/8 = 26 7/8

so, there are 26 1/5 cups servings in 5 3/8, with a remainder of 7/8 of a 1/5 cup = 7/8 × 1/5 = 7/40 cup.

A. Direction: Arrange the given number tiles in a correct order to make it divisible to the given number. Apply the divisibility rules. Given Answer 3 8 4 3 2 9 1 6 8 3 8 3 8 0 5 1. Divisible by 8 2. Divisible by 4 3. Divisible by 11 4. Divisible by 12 5. Divisible by 4 6. Divisible by 8 7. Divisible by 11 8. Divisible by 12 9. Divisible by 4 10. Divisible by 8 7. 2 5 4 5 9 1 0 4 7 6 4 1 6 2 1​

Answers

Sorry i don’t understand its a bit confusing

Mikayla borrowed $ 40 from her mom . The function y = - 8x + 401 represents her outstanding balance y after x weekly payments, find the zero of the function.

Answers

Answer:

[tex]\frac{401}{8}[/tex]

Step-by-step explanation:

[tex]\sf{y\:can\:also\:be\:refered\:to\:as\:f(x)}[/tex]

[tex]\sf{Zeros\: are\: also\: called\: roots.}[/tex]

The roots (zeros) are the [tex]x[/tex] values where the graph intersects the [tex]x[/tex]-axis. To find the roots (zeros), replace [tex]y[/tex] with 0 and solve for [tex]x[/tex].

[tex]y = - 8x + 401\\\\0 = - 8x + 401\\[/tex]

[tex]-8x+401=0\\\\-8x+401-401=0-401\\\\-8x=-401\\\\\frac{-8x}{-8}=\frac{-401}{-8}\\\\x=\frac{401}{8}[/tex]

[tex]\sf{Therefore,\: the\: zero\: of\: this\: function\: is\: \frac{401}{8}[/tex]

The speed of a stream is 2 mph. A boat travels 20 miles upstream in the same time it takes to travel 40 miles downstream. What is the speed of the boat in still water?
The speed of the boat in still water is mph.
(Simplify your answer. Type an integer or a decimal.)

Answers

Answer: The speed of a stream is 4 mph. A boat travels 7 miles upstream in the same time it takes to travel 15 miles downstream. What is the speed of the boat in still water…

Step-by-step explanation: The speed of a stream is 4 mph. A boat travels 7 miles upstream in the same time it takes to travel 15 miles downstream. What is the speed of the boat in still water?

Answer: The speed of a stream is 4 mph. A boat travels 7 miles upstream in the same time it takes to travel 15 miles downstream. What is the speed of the boat in still water…

Step-by-step explanation: hope this  helps

At Kenner Country Club, 45% of the members swim. If 3 people are selected at random, what is the probability that all three will say they swim at the club?

Answers

Step-by-step explanation:

so, we pick the first one. the probability this person swims is 0.45.

if yes, then we pick the second one. this one has also a probability of swimming of 0.45.

combined with the probability of the first one being a swimmer this is now 0.45×0.45.

the same with the third pick.

and we have the probability that all 3 swim of

0.45×0.45×0.45 = 0.45³ = 0.091125

that is rounded about 0.09 or 9%.

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