What are the solutions to the equation ( 5 x − 15 ) 2 = − 100 ?

Answers

Answer 1

Answer:

x = -7

Step-by-step explanation:

( 5 x − 15 ) 2 = − 100

10x - 30 = - 100

10x = -70

x = -7

Answer 2

Answer:

x = -7

Step-by-step explanation:

[tex]\left(5x-15\right)\cdot \:2=-100\\\\\frac{\left(5x-15\right)\cdot \:2}{2}=\frac{-100}{2}\\5x-15=-50\\5x-15+15=-50+15\\5x=-35\\\\\frac{5x}{5}=\frac{-35}{5}\\\\x=-7[/tex]


Related Questions

Use the graph below to answer the question.

Answers

The statements that are true are:

a. The rate of change of segment T is decreasing

b. Difference between the rate of change of segments S and R is 3½

How to Find Rate of ChangeRate of change (slope) = change in y / change in x = rise/runRate of change for horizontal line/graph are always zero.

To determine which statements are true, find the rate of change of each segment in the graph.

Rate of change for Segment R:

Segment R is horizontal, therefore the rate of change = 0.

Rate of change for Segment S:

Rate of change = rise/run = 7/2 = 3½.

Rate of change for Segment T:

Rate of change = rise/run = 8/-8 = -1.

Rate of change for Segment U:

Rate of change = rise/run = 5/3 = 2⅔.

The rate of change of segment T is negative, therefore, it is decreasing. (Option 1 is true).

Difference between Rate of change of segment S and R = 3½ - 0 = 3½. (Option 2 is also true).

Rate of change for segment T, -1, is less than rate of change for segment S, 3½. (Option 3 is not true).

Option 4 is false. Rate of change for segment U is rather 2⅔.

Option 5 is also not true. Segment R has a rate of change of 0.

Therefore, the statements that are true are:

a. The rate of change of segment T is decreasing

b. Difference between the rate of change of segments S and R is 3½

Learn more about rate of change on:

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Will give BRAINLIEST

Answers

Answer:

Quadrant 1 (1,5)

Step-by-step explanation:

The upper right quadrant is quadrant 1 and the quadrants go in a counter clockwise direction.

Point T is in the upper right which is quadrant 1

Write the linear equation into Standard Form. 8+3x=-9y

Answers

Hello! :p

Original: 8+3x=-9y

standard form:  3x + 9y = -8

I hope this helps! Have a wonderful day! :)

⦁ Determine the zeros of f(x) = (x + 1)^2(x – 3)(x – 4). Indicate the multiplicity of any factors that occur more than once.

Answers

Answer:

see explanation

Step-by-step explanation:

To find the zeros equate f(x) to zero , that is

(x + 1)²(x - 3)(x - 4) = 0

Equate each factor to zero and solve for x

x- 4 = 0 ⇒ x = 4

x - 3 = 0 ⇒ x = 3

(x + 1)² = 0 ⇒ (x + 1) = 0 , x + 1 = 0 ( 2 factors ) , then

x = - 1 with multiplicity 2

Write the equation of the line in fully simplified slope-intercept form.

Answers

Answer:

y=5/6x+5

Step-by-step explanation:

Just ask!

Hope this helps.

Sorry if I'm wrong.

~Happy Holidays!!~ o(* ̄▽ ̄*)ブ

What is the value of log3 27?

Answers

Answer:

Logarithm base 3 of 27 is 3 .

Step-by-step explanation:

hope it helps

Answer:

3

Step-by-step explanation:

27 = 3 x 3 x 3 = 3³

log3 27

= log3 3³

= 3 log3 3

= 3 x 1

= 3

Note : -

Formulas : -

Logn n = 1

Logn n^n = n Logn n

Please answer this ASAP
Solve for x.
5x−3=13−3x

A: x=-2
B: x= -5
C: x=2
D: x=5

Answers

Answer:

5x−3=13−3x

x=2

positve 2

Tom’s weekly salary increased from $240 to $300. What was the percent change?

Answers

Answer: 25%

Step-by-step explanation:

Answer:

25% increase

Step-by-step explanation:

Sally bought shirts and pants for school. She bought a total of 8 items. Each pair of pants cost
$28, and each shirt cost $12. She spent a total of $144. How many pairs of pants did Sally buy?
How many shirts did she buy?
ONLY ORIGINAL ANSWERS OR NO BRAINLIEST WILL BE GIVEN AND NO SITES OR CHEET SHEETS

Answers

If my calculations are correct, Sally would be able to buy 3 pairs for 84 bucks and 5 pairs of shirts for 60 bucks, making a total of 144 bucks.

Jack rode his bike 30 miles 5 hours. At this rate, how long would it take jack to ride one mile?

Answers

Answer:

36 seconds

Step-by-step explanation:

30 / (5 x 60) = 0.01

0.01 hours = 0.6 minutes

0.6 minutes = 36 seconds

Answer:

10 minutes

Step-by-step explanation:

First, we need to convert hours to minutes. 5 x 60 = 300.

300 minutes for 30 miles.

Next, divide both numbers by something to equal 1. (Divide it by 30, because we are trying to get 30 to 1.)

300 divided by 30 = 10

30 divided by 30 = 1

So, it would take Jack 10 minutes to ride 1 mile.

Which of the following is a triangle circumscribed by a circle?

Answers

Answer:

Hi again

Its your 3rd option

Step-by-step explanation:

Answer:

Step-by-step explanation:

Option 3 is correct just got the test!

BRAINLIEST
Please answer these

Answers

3.14 is used for pi.

6.  r = [tex]\sqrt{\frac{A}{\pi } }[/tex]

14.00

7. d = [tex]\frac{c}{\pi }[/tex]

5.00

8. d = [tex]2 \sqrt{\frac{A}{\pi } }[/tex]

23.01

9. r = [tex]\frac{c}{2\pi }[/tex]

20.01

10. d[tex]\pi[/tex] = [tex]2 \sqrt{{A}[/tex]

31[tex]\pi[/tex]

11. r[tex]\pi[/tex] = [tex]\frac{c}{2}[/tex]

22.5[tex]\pi[/tex]

Hope this helps :)

Answer:

12. 95.03

13. 52π mm or 52 mm

14. 119.38 meters

15. 227 in²

Note: (make sure to double check all of these because it never hurts to).

Mrs ray is teaching a 5th grade class . She is standing 5 meters in front of Kiara. Ian is sitting 12 meters directly to Kiara’a right . How far apart are Mrs Ray and Ian

Choices
A. 11 meters
B. 12 meters
C. 13 meters
D. 14 meters

Answers

The answer is going to be b

Please use the graph below and not some other graph. A 20,000 gallon swimming pool contains 5000 gallons of water when a hose is placed in the pool and begins adding water at a rate of 1250 gallons per hour.



Use the Segment tool to plot a graph representing the volume of water in the pool over time from when the hose is placed in the pool until the pool is full.

Answers

Answer:

  see attached

Step-by-step explanation:

The graph starts at 5000 gallons on the vertical axis, and increases at the rate of 1250 gallons per hour, or 5000 gallons per 4 hours until 20,000 gallons is reached after 12 hours.

__

Additional comment

We don't have access to your segment tool, so you will have to copy the graph.

6.4f 24 water bottles weigh 30 pounds, how much would a shipment of 150 water bottles weigh?​

Answers

Answer:

120 pounds

Step-by-step explanation:

24÷30 =0.8

0.8 x 150= 120 pounds

Bob and Dave go to PizzaScoff. Starting with 35 pizzas, Bob eats 6 and 4/5 and Dave eats 8 and 1/3 pizzas. How many are left/?

Answers

Answer: 15 1/3 or 15.333333

Step-by-step explanation:

Solve (x 3)2 (x 3) â€"" 2 = 0. Let u =.

Answers

The solution to the original equation will be -2 and -6

Given the function [tex](x + 3)^2 + (x + 3) - 2 = 0.[/tex]

If u = x + 3, the function in terms of "u" will be;

[tex]u^2+u-2=0[/tex]

Factorize the resulting equation as shown:

[tex]u^2+u-2=0\\u^2+2u-u-2=0\\u(u+2)-1(u+2)=0\\(u-1)(u+3) = 0\\u=1 \ and \ -3[/tex]

Since x + 3 = u

x = u - 3

If u  = 1

x = 1 - 3  = -2

If u  = -3

x = -3 - 3  = -6

Hence the solution to the original equation will be -2 and -6

Correct question:

Solve (x + 3)^2 + (x + 3) – 2 = 0. Let u = Rewrite the equation in terms of u. (u2 + 3) + u – 2 = 0 u2 + u – 2 = 0 (u2 + 9) + u – 2 = 0 u2 + u + 1 = 0 Factor the equation. What are the solutions of the original equation?

Learn more on factorization here: https://brainly.com/question/25829061

given the line y=-2x - 1 and the point (4,4) find the equation of the line perpendicular to the given line

Answers

Answer:

y= (1/2)x + 2

Step-by-step explanation:

yeah-ya.......... right?

Nick is going to roast some marshmallows over a campfire tonight. Nick buys 4 bags of marshmallows. Each bag costs $3. Nick also buys a $2 lighter

Answers

Answer: 14

Step-by-step explanation: I solved the equation

Answer:

14 dollars

Step-by-step explanation:

Goran bought a sofa on sale for $172.80. This price was 36% of the original price.
What was the original price?

Answers

36% in decimal from it .36
172.80 + .36 = 173.16
So original price was 173.16

Answer:

$270

Step-by-step explanation:

So Big G gets a great deal on a sofa...$172.80...the original price has to be higher, right? He (? She?) got 36% off...This means that they DID NOT pay 36%, but they DID pay 64% (bc 36 + 64 = 100%)

SO, you need to change percents to decimals to work with them in an equation. Let p be the original price. Original price times 64% will equal the sale price.

.64p = 172.80

DIVIDE BY .64

p = 270

You can check it using the 36% ---

270 × .36 = 97.2

The discount is $97.20

270 - 97.20 = 172.80✅

The original price for Goran's sofa was $270.00

2.48 rounded to the nearest hundredth pl

Answers

Answer:

2.50

Step-by-step explanation:

2.50 might be the answer

Algebra 2
What is the sum If x≠0?

Answers

Answer:

14x^4sqrt10

Step-by-step explanation:

Out of the two possible answers showing in the picture it seemed as is it was the only valid answer

Is it True or false ?

Answers

Answer:

Step-by-step explanation:

true

my Christmas present to you​

Answers

Answer:

TY

Step-by-step explanation:

please help dont want to fail final exam
How much does she earn if she does not make any sales on a given day?

Question 7 options:

$75


$175


$0


$25

Answers

Answer:

$75 I think. Not 100% sure but like 95% sure :)

Veronica traveled 562 miles to Venice, Florida. She drove 85 miles every day. On the last day of her trip, she only drove 52 miles. Write and solve an equation to find the number of days veronica traveled.

Answers

Answer:

562 = 85x +52

x is the number of days

Veronica traveled for 7 days

Step-by-step explanation:

562 = 85x + 52

510 = 85x Subtract 52 on both sides

6 = x Divide by 85 to isolate x

Even though Veronica only had to drive 52 miles on the last day of her trip, it still counts as a day of driving. Hence, she traveled 7 days in total.

11.65×0.23 helpppp plssss

Answers

Answer:

2.6795

Step-by-step explanation:

Just ask! :)

(✿◡‿◡) HAPPY HOLIDAYS!!!

Answer:

2.6795

Step-by-step explanation:

Question 7 of 25

If f(x) = 3x2 - 2x + 4 and g(x) = 5x2 + 6x - 8, find (f+ g)(x).

A. (f+ g)(x) = -2x2 - 8x+ 12

B. (f+g)(x) = 8x2 + 8x + 12

O C. (f+g)(x) = 2x2 + 8x - 12

D. (f+g)(x) = 8x2 + 4x - 4

Answers

Answer:

  D. (f+g)(x) = 8x^2 + 4x - 4

Step-by-step explanation:

The notation (f+g)(x) is shorthand for f(x) +g(x).

  (f +g)(x) = f(x) +g(x) = (3x^2 -2x +4) +(5x^2 +6x -8)

  = (3 +5)x^2 +(-2 +6)x +(4 -8)

  (f +g)(x) = 8x^2 +4x -4

write the point-slope form of the equation of the line through the given points through (0,-1) and (3,-3)

Answers

[tex]\text{Given that,}\\\\(x_1,y_1) = (0,-1) ~ \text{and}~ (x_2, y_2) = (3,-3)\\\\\text{Slope, m}= \dfrac{y_2 -y_1}{x_2 -x_1} = \dfrac{-3+1}{3-0} = -\dfrac 23\\\\\\\text{Point slope - form}\\\\y-y_1 = m(x-x_1)\\\\\implies y - (-1) = -\dfrac 23 (x -0)\\\\\implies y +1 = -\dfrac 23 x[/tex]

A customer buys 6 packages of nails and 7 packages of screws for $74.35. What is the price of a package of screws?

Answers

The price of the package of screws would be = $40

How to calculate the package of screws bought by the customers?

The quantity of nails bought by the customer = 6 packages

The quantity of screw bought by the customer = 7 packages of screw.

The total amount of the whole package = $74.35

The total number of packages = 6+7 = 13

For screws = 7/13 × 74.35

= 520.45/13 = $40

Learn more about division here:

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