What are the solutions to the equation (10−x)(3x−9)=0?

Answers

Answer 1

Answer:

10−x)(3x−9)=0

−3x2+39x−90=0

−3(x−3)(x−10)=0

x=3 or x=10

Answer 2

The solutions to the equation (10 - x)(3x - 9) = 0 are x = 10 and x = 3.

Given that the equation (10 - x)(3x - 9) = 0

The factors will have the form (ax + b)(cx + d), where a, b, c, and d are constants.

To find values for a, b, c, and d such that (ax + b)(cx + d) is equal to 0

To determine the solutions of (ax + b)(cx + d),  equate each term to zero and solve for x which gives the solutions.

The two solutions of (ax + b)(cx + d) are -b/a and -c/d.

To find the solutions to the equation (10 - x)(3x - 9) = 0, set each factor equal to zero and solve for x.

Setting (10 - x) = 0 gives:

10 - x = 0

To isolate x, subtract 10 from both sides of the equation:

10 - x - 10 = 0 - 10

Simplifying gives:

-x = -10

Multiplying both sides by -1 to solve for x:

(-1)(-x) = (-1)(-10)

x = 10

So, one solution is x = 10.

Now, setting (3x - 9) = 0, gives:

3x - 9 = 0

To isolate x, we add 9 to both sides of the equation:

3x - 9 + 9 = 0 + 9

Simplifying gives:

3x = 9

Dividing both sides by 3 to solve for x:

(1/3)(3x) = (1/3)(9)

x = 3

Therefore, the second solution is x = 3.

The solutions to the equation (10 - x)(3x - 9) = 0 are x = 10 and x = 3.

Learn more about solving quadratic equations and factoring, click here:

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Related Questions


Can someone please help me with this!

Answers

Answer:

square root of 148

Step-by-step explanation:

distance formula: d=√(x2−x1)^2+(y2−y1)^2

d√=(-5--3)^2+(11--1)^2

d=√(-2)^2+(12)^2

d=√4+144

d=√148

The perimeter of an equilateral triangle is 9 inches more than the perimeter of a square, and the side of the triangle is 6 inches longer than the side of the square. Find the side of the triangle.​

Answers

Answer:

9 inches

Step-by-step explanation:

Perimeter of equilateral triangle = 3x

Perimeter of square = 4x

3(x + 6) = 9 + 4x

3x + 18 = 9 + 4x

-x = -9

x = 9

What is the solution for x In the inequality -3x+4<16

Answers

Answer:

x > -4

Step-by-step explanation:

-3x + 4 < 16

-3x < 16 - 4

-3x < 12

-x < 4

x > -4

Answer:

x > -4

Step-by-step explanation:

-3x+4<16

Subtract 4 from each side

-3x+4-4<16-4

-3x < 12

Divide each side by -3, remembering to flip the inequality since we are dividing by a negative.

-3x/-3 > 12/-3

x > -4

Michael completely covered a square wall using 101.5ft2 of wallpaper without any overlap. Which measurement is closest to the side length of this wall in feet?

Answers

Answer:

10[tex]ft^{2}[/tex]

Step-by-step explanation:

Find the square root of 101.5 and round it.

√101.5=10.0747208398

10.0747208398≈10

So, the side length is 10[tex]ft^{2}[/tex].

why life on Earth depends on matter

Answers

Answer:

because matter is everything, everything around us is made of matter even people

have a good day :)

Step-by-step explanation:

21.
Find the range of f(x)=-2x-5 for the domain {-2,-1,1,2}.

A. {-1,-3,-7,-9}

B. {-1,-3,3,5}

C. {-1,-3,7,9}

D. {1, 3, 5, 7}

Answers

Answer:

A. {-1, -3, -7, -9}

Step-by-step explanation:

Plug all 4 points into the equation -2x-5.

-2(-2) - 5 = 4 - 5 = -1

(-2, -1)

-2(-1) - 5 = 2 - 5 = -3

(-1, -3)

-2(1) - 5 = -2 - 5 = -7

(1, -7)

-2(2) - 5 = -4 - 5 = -9

(2, -9)

The y-values make up the range, making the answer A, {-1, -3, -7, -9}

Answer:

A. {-1,-3,-7,-9}

Step-by-step explanation:

Range = {-2(-2) - 5, -2(-1) - 5, -2(1) - 5, -2(2) - 5} = {4 - 5, 2 - 5, -2 - 5, -4 - 5} = (-1, -3, -7, -9}

...................................................................................................................................................

Answer:

{-1, -3, -7, -9} is  the range of the function f(x)

Step-by-step explanation:

Domain is the set of all complete possible values of x variable.

Range is the set of all values of f(x)

Given the function:

       .....[1]

Domain: {-2, -1, 1, 2}

For x = -2,

Substitute in [1] we have

Similarly ,

For x = -1

For x = 1:

For x = 2

Therefore, the range of f(x) = {-1, -3, -7, -9}

PLEAS HELP (no links or reported) I will give brainleast!

Answers

Answer:

its 84

area = perimeter of base x height + 2(area of base)

the rest you know what to do -_-

Step-by-step explanation:

the answer is 84 . good luck

Jenniferhas 27 t shirts that she wants to place in her dawer in her new dresser she can fit 6 shirts in each drawer

Answers

Answer:

Step-by-step explanation:

She can fill four drawers with a total of 24 T-shirts and place 3 more in one additional drawer.

HELP THE TEACHER IS ASKING FOR MY ANSWERS CUZ I WAS SUPPOSED TO DO IT AND I NEVER WAS PREPARED PLSSS HELP IM NEXT PLS DRAW IT FOR MEE :( EVEN IF ITS EDITED I WOULD APPRECIATE TYSM HAVE A GOOD DAY! (And if u don’t know 1 u don’t have to do both only one but pls try :(

Answers

Answer:

Hope this helps!!

Step-by-step explanation:

Ashin has been working in UAE for a decade and saved AED 125,500 which he wants to transfer now to his parent's account in India. Keeping in mind the AED – INR exchange rate for the day, which is AED 1 = 20 (approx.), find the amount of money which Arshad's parents will withdraw in India.

Answers

Answer:

2510000 INR

Step-by-step explanation:

Given

[tex]Savings = AED 125500[/tex]

[tex]1\ AED =20\ INR[/tex]

Required

The amount that will be withdrawn in India

We have:

[tex]1\ AED =20\ INR[/tex]

Multiply both sides by the savings

[tex]125500 * 1\ AED =20\ INR * 125500[/tex]

[tex]125500\ AED =125500 * 20\ INR[/tex]

So, we have:

[tex]125500\ AED =2510000\ INR[/tex]

Hence, the amount that will b withdrawn is: 2510000 INR

Find an equation of the line passing through the point ( - 12,
5) and perpendicular to - 12x – 3y = 12.
1]
1]
Write your answer in slope-intercept form.

Answers

Just ignore that bot. The actual answer would be y = 1/4X - 2!

Two sides of a triangle have lengths of 9
and 18. Which inequality represents the
possible length for the third side, x?
A. 9 < x < 18

B. 18 < X < 9

C. 9
D. 18 < X < 27

Answers

the answerr is B. hahahahahhaa


***NOTE YOU WOULD EARN 40 POINTS IF YOU ANSWER THIS QUESTION***

Answers

Answer:

mint

Step-by-step explanation:

Write an expression using letters and/or numbers for each problem below.​​ NO BOTS 15 POINTS!
​Nithila has increased her $45 by m dollars and then spends one-third of the amount

Joaquin has d more than three times the number of baseball cards as Sam. Sam has f baseball cards.​

Answers

Answer: 1/3(45+m) and + or + f

Step-by-step explanation:

It says it during the expalaining of the word problem to write an expression out of it

Breainliest please.

DUE TODAY! WILL
MARK BRAINLIEST
4. Find the measure of arc RT. Fill in the blank with the number only.
Assume that segments that appear to be tangent are tangent.

Answers

Answer:

he number only.

Assume that segments that appear to be tangent are tangent.

Step-by-step explanation:

Please help due today in 20 minutes!!!!
I WILL report bots.
I need help on all the questions please.
Will mark brainliest if all questions answered.
Please help me!!!!!

Answers

hey! i definitely recommend you downloading socratic you can scan 1 question at a time and it will give you the answer. it will show up like this then press cymath math problem then it tells you how it got the answer. i promise you this isn’t some type of bot stuff but if you more questions on how to use the app lmk! i have a A+ in math bc of this app

Answer:

11. 3

12. 78.74

13. 30

14. 69.74

15. 48

16. 7

17. 36.9

18. 69.5125888

Step-by-step explanation:

Used a calculator.

LCM of 4, 12, -16, -24​

Answers

The correct answer is 28

What is the shape for the data: 1, 4, 2, 5, 2, 4, 3?
A. Skewed to the left
B. Skewed to the right
C. Vertical shape
D. Symmetrical

Answers

Answer:

            its nlo

Step-by-step explanation:

A container of water holds 128 fluid ounces. Tyler drinks 4 fluid ounces of water every hour.
_________________ fluid ounces are in the container after 8 hours
(look at picture for more understanding)

Answers

Answer:96

Step-by-step explanation: 4x8 = 32 so there will be 32 fluid ounces gone. subtract that from 128 to get 96.

help please this is hard

Answers

Answer:

m∠A = 120°

m∠C = 45°

Step-by-step explanation:

all triangle angles add up to 180

(12x + 12) + 15 + (3x +18) = 180

15x + 45 = 180

15x = 135

x = 9

m∠A = (12x + 12) = 12(9) + 12 = 120

m∠C = (3x +18) = 3(9) + 18 = 45


ACELLUS HELP ASAP
a coffee shop, the first 100 customers'
orders were as follows.
Small
Medium
Large
Hot
5
48
22
Cold
8
12
5
What is the probability that a customer ordered
a large given that he or she ordered a cold
drink?
Rounded to the nearest percent, [? ]%
Enter

Answers

To you gotta tell the teacher to slow down he said what, try like 18%

Solve (x - 3)^2+7=97, where X is a real number. Round your answer to the nearest hundredth.​

Answers

Answer:

x ≈ - 6.49, x ≈ 12.49

Step-by-step explanation:

Given

(x - 3)² + 7 = 97 ( subtract 7 from both sides )

(x - 3)² = 90 ( take the square root of both sides )

x - 3 = ± [tex]\sqrt{90}[/tex] ( add 3 to both sides )

x = 3 ± [tex]\sqrt{90}[/tex]

Then

x = 3 - [tex]\sqrt{90}[/tex] ≈ - 6.49 ( to the nearest hundredth )

x = 3 + [tex]\sqrt{90}[/tex] ≈ 12.49 ( to the nearest hundredth )

Consider the function f(x) =
- 4x2xs-1
-3-*-1, *> -1
Which statement explains the continuity of the function at x = -1?
Because lim f(x) = 4 and f(-1) = 4, it follows that lim f(x) = f(-1). Therefore, the function is continuous at x
1.
*--1
*--1
O Because lim f(x) = -4 and f(-1) = -4, it follows that lim f(x)=f(-1). Therefore, the function is continuous at
-1.
*--
X-1
--
O Because lim f(x) = 4 and f(-1) = -4, it follows that lim f(x) f(-1). Therefore, the function is not continuous
*--1
= -1.
O Because lim f(x) = -4 and f(-1) = 4, it follows that lim f(x) f(-1). Therefore, the function is not continuous a
= -1.
--
--1

Answers

Answer:

It's B

Step-by-step explanation:

B) Because Limit as x approaches negative 1 f(x) = –4 and f(–1) = –4, it follows that Limit as x approaches negative 1 f(x)= f(–1). Therefore, the function is continuous at x = –1

7g = -84 ; g = - 12 due in 10 min WHAT IS UP WITH THESE TIMED MATH TESTS T^T
yes or no psl hellpppp

Answers

Step-by-step explanation:

7 (-12) = -84

it's literally -84

Simplify (2-6)(5)(23 . 5)2.

Answers

Answer:

The answer is 125.

What’s the ratio of the volume?
20:4
4:1
16:1
64:1

Answers

Answer:

4:1

I hope this helps a little bit.

When the x coordinate is positive, which way do you move on the coordinate plane?

Answers

Answer:

to the right

Step-by-step explanation:

Answer:

Right.

Step-by-step explanation:

When the x coordinate is positive, you move right on the coordinate plane.

For reference, here are the other directions.

When the x coordinate is negative, you move left on the coordinate plane.

When the y coordinate is positive, you move up on the coordinate plane.

When the y coordinate is negative, you move down on the coordinate plane.

1. What is the degree of the monomial 3x^4yz?

A 4
B 6
C 7
D 8

Answers

Answer:

[tex]3 {x}^{4} 4yz[/tex]

=> Tᕼᗴ ᗪᗴᘜᖇᗴᗴ Oᖴ Tᕼᗴ ᑭOᒪYᑎOᗰIᗩᒪ IՏ 4

a. 4 is the only degree that’s used. Also know as the only exponent apart from the variables. It’s 4

Thanks to both of the people that’s helping mee!!❤️

Answers

Answer:

s = 17 inches

Step-by-step explanation:

Since this is a parallelogram, it has two sets of equal sides. We are given that one of the sides is 19 and the perimeter is 72. Therefore, \

72 = 2*s + 2*19

72 = 2*s + 38

34 = 2*s

s = 17

Answer:

17

Step-by-step explanation:

19 + 19 = 38

38 divided by 2 = 17

Add the given length to itself again because the other side is equal.

Which would be 38. Divide by 2 since there are two missing lengths that need to be solved (s). And your final answer is 17!

Select the function that matches the graph

Answers

Answer:

y=3x+1

Step-by-step explanation:

the y is postitive 1 and the slope is 3

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