solve -5(x-7)^2+30=-20

Answers

Answer 1

Answer:

x=7−√10 or x=7+√10

Step-by-step explanation:

−5(x−7)2+30=−20

Step 1: Simplify both sides of the equation.

−5x2+70x−215=−20

Step 2: Subtract -20 from both sides.

−5x2+70x−215−(−20)=−20−(−20)

−5x2+70x−195=0

For this equation: a=-5, b=70, c=-195

−5x2+70x+−195=0

Step 3: Use quadratic formula with a=-5, b=70, c=-195.

x=

−b±√b2−4ac

2a

x=

−(70)±√(70)2−4(−5)(−195)

2(−5)

x=

−70±√1000

−10

x=7−√10 or x=7+√10


Related Questions

Find the GCF of the set of numbers 12 30

Answers

Answer: the answer is 6

Step-by-step explanation:

Answer:

D. 6

Step-by-step explanation:

GCF means greatest common factor, so if you test out all of the answers, the factors you come up with is 2 and 6. Since 6 is larger, that is your answer.

Who can possibly beat me?

A. Kakarot
B. Gohan
C. Broly
D. Frieza

Answers

Answer:

C

Step-by-step explanation:

Answer c

Explanation

Nancy has a bank account that has a balance of $320 and allows for a maximum of 6 deposits per month. She has decided that each time she deposits money into her account, she will deposit $20. If Nancy makes x deposits into her bank account in a month, her account balance can be represented by the function f(x)= 20x+320.What is the range of the function for this situation?

Answers

Answer:

Step-by-step explanation:

cosA + cosB - cosC = -1 + 4cosA/2 cosB/2 sinC/2

Answers

Answer:

Step-by-step explanation:

(cos A+ cos B)-cos C

[tex]=2cos \frac{A+B}{2}cos \frac{A-B}{2}-cos C~~~...(1)\\A+B+C=180\\A+B=180-C\\\frac{A+B}{2}=90-\frac{C}{2}\\cos \frac{A+B}{2}=cos(90-\frac{C}{2})=sin \frac{C}{2}\\cos C=1-2sin^2\frac{C}{2}\\(1)=2 sin \frac{C}{2} cos \frac{A-B}{2}-1+2sin^2\frac{C}2}\\=2sin\frac{C}{2}[cos \frac{A-B}{2}+sin \frac{C}{2}]-1~~~...(2)\\\\now~again~A+B+C=180\\C=180-(A+B)\\sin\frac{C}{2}=sin(90-\frac{A+B}{2})=cos \frac{A+B}{2}\\(2)=2sin\frac {C}{2}[cos \frac{A-B}{2}+cos \frac{A+B}{2}]-1\\[/tex]

[tex]=-1+2sin\frac{C}{2}*2cos \frac{\frac{A-B}{2} +\frac{A+B}{2} }{2} cos \frac{\frac{A-B}{2} -\frac{A+B}{2} }{2} \\=-1+4sin\frac{C}{2} cos \frac{A}{2} cos\frac{-B}{2} \\=-1+4 cos \frac{A}{2} cos \frac{B}{2} sin \frac{C}{2}\\(cos(-B)=cos B)[/tex]

What is the addititve inverse of 63

Answers

Additive Inverse of 63 = -63
Since the additive inverse of 63 is -63, additive inverse is also known as the opposite number.

Answer:

It is -63

Step-by-step explanation:

What you add to a number to get zero. The negative of a number.


Which is a perfect square between 100 and 144

Answers

Answer:

121 is the perfect square between 100 and 144.

9. Classify the equation, 7x + 10 = 7x + 10, as having one solution, no solution, or
infinitely many solutions.

Answers

Answer:

No solution

Step-by-step explanation

7x+10=7x+10

Step 1: Subtract 7x from both sides.

7x+10−7x=7x+10−7x

10=10

Step 2: Subtract 10 from both sides.

10−10=0

There are no solution.

Answer:

Step-by-step explanation:

no solution

Help if anyone know this

Answers

Answer:

The first one is 0,4 and the other is 5,2

what is a product of 4/5 x 3/7

Answers

Answer:

12/35

Step-by-step explanation:

if you cross multiply the two numbers you will get your answer

Answer:

.583

Step-by-step explanation:

Simplify
6x2 + 8x + 11 + 4x + 9x2

Answers

Answer:

24x+29

Step-by-step explanation:

Answer:

15x^2+12x+11

Step-by-step explanation:

Hope this helps!

Total solar eclipses occur on a regular and predictable basis. One that could be viewed in parts of the United States occurred on March 7, 1970. The saros cycle is a period of 18 years, 11 1 3 days, and solar eclipses occur according to this cycle. For the purposes of this exercise, we ignore leap years and assume that a year is exactly 365 days. Because the saros cycle is not a whole number of days, but instead is one-third of a day longer than a day, at the end of the saros cycle, Earth will have rotated one-third revolution beyond its location at the beginning of the cycle. Thus, if a solar eclipse is viewable at a certain location, the next solar eclipse will not be. How long after March 7, 1970, will a solar eclipse again be viewable from the United States?

Answers

Answer:

Step-by-step explanation:

The previous solar eclipse occured on March 7 , 1970 .

saros cycle has duration of 18 years , 11 + 1/3 days

So the earth goes 1 / 3 of its daily rotation beyond its previous location in the next solar eclipse on the earth . In order that we get solar eclipse on the same point on the earth , we shall have to wait for third solar eclipse

So total period of wait = 18 x 3 years + 11 x 3 + 1 = 54 years and 34 days

Date of next solar eclipse on the same spot = 1970 + 54 = 2024

7 th March + 34 days = April 10

likely date = April 10 , 2024 .

Content attribution
Question
If you deposit $600 into an account which earns 4% yearly interest compounded quarterly,
how much will be in the account after 7 years, assuming you never withdraw money from
the account? Round your answer to the nearest cent if necessary and do not include the
dollar sign.
Provide your answer below:

Answers

Answer:

4,368

Step-by-step explanation:

take 600 and add 4% to get 624

then take the 624 and multiply by 7

and the answer is 4,368

let's see what to do buddy...

_________________________________

_________________________________

Step (1)

We have 600 $ .

One year later ;

[tex]600 + (600) \times \frac{4}{100} = 600 + 24 = 624 \\ [/tex]

Now we have 624 $.

_________________________________

Step (2)

One year later :

[tex]624 + (624) \times \frac{4}{100} = 624 + 24.96 = \\ 624 + 25 = 649 [/tex]

After two years we have 649 $.

_________________________________

Step (3)

One year later :

[tex]649 + (649) \times \frac{4}{100} = 649 + 25.96 \\ 649 + 26 = 675 [/tex]

After three years we have 675 $.

_________________________________

Step (4)

One year later :

[tex]675 + (675) \times \frac{4}{100} = 675 + 27 = 702 \\ [/tex]

So after four years we have 702 $.

_________________________________

Step (5)

One year later :

[tex]702 + (702) \times \frac{4}{100} = 702 + 28.08 \\ 702 + 28 = 730 [/tex]

After five years we have 730 $.

_________________________________

Step (6)

One year later :

[tex]730 + (730) \times \frac{4}{100} = 730 + 29.20 \\ 730 + 29 = 759 [/tex]

So After six years we have 759 $.

_________________________________

Step (7)

One year later :

[tex]759 + (759) \times \frac{4}{100} = 759 + 30.36 \\ 759 + 30 = 789 [/tex]

So after seven years we have 789 $.

_________________________________

There's no any more steps.

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

Will give brainliest if your answer is correct, please help me with this question it is past due (I have more questions like this that are also pat due, check my profile and go to questions to see them once I post the questions)

Answers

Answer:

∠1 = ∠3 = ∠5 = ∠7 = 72°

∠2 = ∠4 = ∠6 = ∠8 = 180° -72° = 108°

∠13 = ∠14 = ∠15 = ∠16 = ∠17 = ∠18 = ∠19 = ∠20 = 90°

∠10 = ∠12 = 90° -72° = 18°

∠9 = ∠11 = 180° -18° = 162°

Step-by-step explanation:

the set of all integers are a subset of real numbers true or false?

Answers

Is true.

wksnsksndksndks

Which ordered pairs are solutions to the equation 6x + 7y = 6?

Answers

Answer:

(2,−6/7), (3,−12/7), and (6,−30/7)

Step-by-step explanation:

3[a(4b - c)] for a = 2, b =3, and c = 2.8.

Answers

Hello!

Step-by-step explanation:

3[a(4b - c)] for a = 2, b =3, and c = 2.8.

-3[a(4b - c)]

-3[2(43 - 2.8)]

You first have to do the Equation that is in brackets and slowly make your way up.

and you will find that ur awnser is = 241.2

Hope it helped you!

The value of the expression 3[a(4b - c)]  for a = 2, b =3, and c = 2.8

will be;

⇒ 55.2

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ 3[a(4b - c)]

And, The values are a = 2, b =3, and c = 2.8.

Now,

Find the value of expression by substitute the values a = 2, b =3, and

c = 2.8. as;

The expression is,

⇒ 3[a(4b - c)]

⇒ 3 [ 2 (4 × 3 - 2.8)]

⇒ 3 [ 2 (12 - 2.8) ]

⇒ 3 [ 2 × 9.2 ]

⇒ 3 × 18.4

⇒ 55.2

Therefore, The value of the expression 3[a(4b - c)]  for a = 2, b =3, and

c = 2.8 will be;

⇒ 55.2

Learn more about the mathematical expression visit:

https://brainly.com/question/16583268

#SPJ2

Hamdah wants to save $500 to buy a TV. She saves $17 each week. The amount, A (in dollars), that she still needs after w weeks is given by the following function. =Aw−50017w Answer the following questions. (a) If Hamdah still needs $211, how many weeks has she been saving? weeks (b) How much money does Hamdah still need after 5 weeks? $

Answers

Answer:

(a) 14.11 dollars (b) 204 dollars

Step-by-step explanation:

(a) 500 - 211 = 289    289 '/. 17 = 14 r:7  14.7 dollars

(b) 17 x 5 = 85   289 - 85 = 204

hope this helped :)

Answer:

If Hamdah still needs $211, she has been saving for 17 weeks(17b). Hamdah still needs $126 after 5 weeks

Step-by-step explanation:

Subtract $211 from $500, you will get $289. After you must divide $289 by 17 because Hamdah earns $17 each week, you will get 17 and that represents how many weeks she has been saving. Hamdah still needs $126 because taking the information from the last question she has $289 (289+211 equals 500, 211 is how much she needs and 289 is how much she has) so we subtract 289 from 500 and we will get 211, then you subtract the product of $17 × 5 weeks from 211 and you will get $126. So, after 5 weeks, Hamdah will still need $126.

how do you solve y=x²+1

plsss help! show solution!​

Answers

Answer:

[tex]\sqrt{x-1} , -\sqrt{x-1}[/tex]

Step-by-step explanation:

(y=x^2+1)^-1=

x=y^2+1

x-1=y^2

+ or -sqrt(x-1)=y

therefore, y=

[tex]\sqrt{x-1} , -\sqrt{x-1}[/tex]

Please help fast pls

Answers

Answer:10 7/30

Step-by-step explanation: If correct please give me brainliest  Thank you ! :D

2 2/3 + 2 1/2 + 2 2/5 + 2 2/3 = 10 7/30

Answer:

10 7/30 or 10.23 hours

Step-by-step explanation:

2+2+2+2=8

(2/3)+(1/2)+(2/5)+(2/3)=67/30

67/30=2 7/30

2 7/30+8= 10 7/30

An oil storage tank is a cylinder with a height of 50 feet and a diameter of 20 feet. What is the volume of the tank? Use 3.14 for Pi.

Answers

Answer:

15707.96ft³

Step-by-step explanation:

Describe the possible values of x.​

Answers

Answer:

2 ≤ x ≤ 7

Step-by-step explanation:

Due to the triangle inequality, the sum of two sides of a triangle must be greater than or equal to the remaining side.

Therefore,

5+7 ≥ 2x-2

=> 12 ≥ 2x-2

=> 14 ≥ 2x

=> 7 ≥ x

However, notice that BC + AB must be ≥ 7, So,

5 + 2x - 2 ≥ 7

=> 2x - 2 ≥ 2

=> 2x ≥ 4

=> x ≥ 2

Therefore, both bound of x have been found.

The possible values of x are 2< x < 7.

What is side length property of a triangle?

In a triangle, the sum of two sides is always greater than the third side. And the difference of two sides is always less than the third side.

Given,

First side = 5

Second side = 7

Therefore, sum of first and second side = 5 + 7

                                                                  = 12

Also, absolute difference of first and second side = 7 - 5

                                                                  = 2

Therefore, we can write:

                                2 < 2x - 2 < 12

Or                             4 < 2x < 14

                                 2 < x < 7

Hence, the possible values of x are 2< x < 7.

To learn more about side property of triangle visit:

https://brainly.com/question/28709672

#SPJ1

list the angles in order from smallest to largest.

Answers

Answer:

What are the angles

Step-by-step explanation:

List all the angles

Which ordered pair is a solution of 5x + 4y = 18?
O (-3,6)
O (2,4)
O (8,2)
O (-2,7)

Answers

Answer:

(-2,7)

Step-by-step explanation:

Remember: (x, y), Substitute the numbers:

1. (-3, 6)

5 • -3 + 4 • 6 = 18

-15 + 24 = 18

9 = 18 X, incorrect

2. (2, 4)

5 • 2 + 4 • 4 = 18

10 + 16 = 18

26 = 18 X, incorrect

3. (8, 2)

5 • 8 + 4 • 2 = 18

40 + 8 = 18

48 = 18 X, incorrect

4. (-2, 7)

5 • -2 + 4 • 7 = 18

-10 + 28 = 18

18 = 18, , correct!

Twice a number from one hundred is thirty.

Answers

Answer:

35

Step-by-step explanation:

100 - 30 = 70

70 / 2 = 35

Please let me know anything's wrong!

Answer: 35

we have so much in common, we argue all the time, you always say im wrong, IM PRETTY SURE IM RIGHT

Please help me with this question

Answers

Step-by-step explanation:

1. 120+21 =141

2. 21-3=18

3. 7x-21

4. 4x+20

5. 45+100=145

6. 40+5c

7. 20+22r+26s

Im not too sure about the other question

Mike earned $11.75 per hour yesterday. He worked a total of 8.2 hours last week. How much money did Mike earn yesterday?

Answers

i believe it’s $96.35
$96.35 is the answer.

There are 72 boys and 90 girls on my team for the competition mr. McKelvey would like to arrange all of the students in equal rose with only girls and boys in each row what is greatest number of students that can be in each row

Answers

Answer:

81 in each row

Step-by-step explanation:

81 + 81 = 162

Answer:

18 students

Step-by-step explanation:

72 boys

90 girls

objective: to arrange in rows with equal number (n) of only boys or girls.

To find the maximum number (n) of boys or girls in each row, you need to find the GCF (Greatest Common Factor) of the numbers 72 and 90, such that n divides both numbers evenly without a remainder.

objective: to arrange in rows with an equal number (n) of only boys or girls.

To find the maximum number (n) of boys or girls in each row, we need to find the GCF (Greatest Common Factor) of the numbers 72 and 90, such that n divides both numbers evenly without a remainder.

We will use two methods to find the GCF of two numbers.

Factorize each number to powers of prime and locate the common factors.

72= 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72

90= 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45 and 90

So the GCF/your answer is 18.

Which expression is equivalent to 3m – 6?

Answers

Fast equivalent answer:

6m - 12

Question 3
10 pts
Determine if the equations are Parallel, Perpendicular, of Neither.
a
1
y = -3x + 6 and
y = — X 8
3
Neither
O Perpendicular
O Parallel
Question

Answers

Answer:

Perpendicular they cross at a 90 degree angle

find the prime factorization of the composite number
2725​

Answers

Answer:

5, 25, 109

Step-by-step explanation:

5, 25, 109, 2725 divided by 5, 5, 109, gives no remainder. They are integers and prime numbers of 2725, they are also called composite number.

The answers would be 5, 25, and 109
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