solve x^2+10x=24 by completing the sqaure. which is the solution set of the equation

Answers

Answer 1

Answer:

{-12, 2}

Step-by-step explanation:

x^2 + 10x = 24

Take half of the x-term coefficient and square it. Add that to both sides.

Half of 10 is 5. 5^2 = 25.

x^2 + 10x + 25 = 24 + 25

(x + 5)^2 = 49

x + 5 = +/-sqrt(49)

x + 5 = 7 or x + 5 = -7

x = 2 or x = -12

{-12, 2}


Related Questions

What is the opposite of 0?

What is the opposite of opposite of -3?

What is the opposite of -9

Answers

Answer:

0

3

9

Step-by-step explanation:

0 has no opposite

-3 = 3

-9 = 9

0 has no opposite
3
9

Mr Rodríguez drove 136 miles to main city .then he drove another 146 miles to rock town. How many miles did mr Rodríguez drive ?

Answers

Answer:

he drove 282 miles

Step-by-step explanation:

you add 136 and 146 to get 282

This is simple addition. 136 + 146 = 282, so Mr. Rodríguez drove a total of 282 miles.

Please consider marking this answer as Brainliest to help me advance.

what is the sum of the polynomials? (4x^5+3x^3-x-6)+(3x^3-9x-4)

Answers

Answer:

You only can to sum expressions with the same exponent, so:

Step-by-step explanation:

(4x^5+3x^3-x-6)+(3x^3-9x-4)

4x^5 + 6x^3 - 10x - 10

Best regards

Answer:

4x^5+6x^3-10x-10

Step-by-step explanation:

you get rid of the parenthesis and combine like terms

how so i
simplify and factor this expression
-8c - 17 - 2c - 3

Answers

Answer: -10c-20

Step-by-step explanation:

Equation: -8c - 17 - 2c - 3

First, you factor -8c+17+ -2c+ -3

Then, combine like terms: (-8c+ -2c)+(-17+ -3)

Answer: -10c - 20

6 x 10^-4 in standard form. explain how you did it pleeeeasee

Answers

0.0006=6x10^-4

Since the exponent is negative, the number will get smaller. A negative exponent shows that the decimal point is shifted that number of places to the left. The exponent is -4, so the decimal place will move 4 places to the left.

Answer:

0.0006

Step-by-step explanation:

A number in scientific notation if it has the form a × 10ⁿ.

A negative exponent indicates

A number between 0 and 1. That the decimal point is shifted that number of places to the left.

6 × 10⁻⁴ tells you that the decimal number is 6. with the decimal point moved four places to the left.

Thus, 6 × 10⁻⁴ becomes 0.0006

40 POINTS AND BRAINLIEST IF FAST!!!!!!! Anwser the picture!!!!! Pls rn!!!!

Answers

Answer:

Length is your answer

Answer: The answer is COLOR

Step-by-step explanation:

Extensive means covering or affecting a large area and all other options are numerical values expect color. :)

Mrs Cambell gave her algebra I students a list of teinomials to factor for homework. which of these can be factored into two binomials

a) x^2+3x+2
b) x^2+4x+5
c) x^2+5x+7
D) x^2+6x+10​

Answers

Answer: option a.

Step-by-step explanation:

To factor a polynomial of degree 2, with the form [tex]ax^{2}+bx+c[/tex], you must find two number whose sum is a and  whose product is c. Then:

a) [tex]x^2+3x+2\\(x+1)(x+2)[/tex]

(it can be factored into two binomials)

b) [tex]x^2+4x+5[/tex] cannot be factored into two binomials.

c) [tex]x^2+5x+7[/tex]  cannot be factored into two binomials.

d) [tex]x^2+6x+10[/tex] cannot be factored into two binomials.

Therefore, the answer is the option a.

You increase the size of a page by 50% then you decrease it by 50% what is the size of the page now

Answers

Answer:

75% of the original paper’s size.

Step-by-step explanation:

Let’s say that the original size was 10 inches.

You then increase it by 50%. It is now 15 inches.

Now, you decrease it by 50%. 50% of 15 is 7.5. So, the paper is now 7.5 inches.

7.5 inches is 75% of the original paper size.

I hope I helped!

Let me know if you need anything else!

~ Zoe

Answer:

Smaller than you started with.

how do i answere this​

Answers

Answer:

F. m/1.05=0.7/1.4

Step-by-step explanation:

The first expression is not true as the side  labelled m in figure I corresponds to the side labelled 1.05 in figure II the side labelled but as for the the other set in the comparison i.e 0.7/1.4 it should start with the side that from figure I in the order in which they appear in the first ratio. The sides in the other ratios in the options correspond to each other and appear int the order in which the first ratio in each set appears

Please help! Easy scatter plot multiple choice questions

Answers

The correct answer would be a, because the left side of the graph indicates that the y axis represents how many customers and since it says 7.pm in the question, it would be choice A

can someone help me find this expression!! i don’t understand it at all, please comment only if you can help !!

Answers

Check the picture below.

What is the solution to the following system of linear equations? 4y − 36 = −12x 3x + y = −9 Select one: A. (-2, 3) B. (1, 5) C. no solution D. infinitely many solutions

Answers

I think it's c. No solution

Final answer:

The solution for the given system of linear equations is (1, -2), which is not provided in the options given. A possible typo may exist in the options.

Explanation:

This question is asking for the solution to a system of linear equations. The equations were given as 4y − 36 = −12x and 3x + y = −9. To solve this system, we can use the method of substitution or elimination. First, let's rewrite the first equation in terms of x. Dividing each side of 4y - 36 = -12x by -12, we get x = -y/3 + 3. We can then substitute (-y/3 + 3) for x into the second equation, yielding 3(-y/3 + 3) + y = -9. Solving Yields y = -2 and substituting y = -2 into x = -y/3 + 3 gives x = 1. So, the solution to this system is x = 1, y = -2. So the correct answer is (1, -2), which was not provided in the options. It seems there might be a typo in the options provided.

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Match the functions to their x-intercepts.
f(x) = log x – 1
f(x) = -(log x – 2)
f(x) = log(-x – 2)
f(x) = -log -(x – 1)
(0, 0)
arrowBoth
(-3, 0)
arrowBoth
(10, 0)
arrowBoth
(100, 0)
arrowBoth

Answers

Answer:

f(x) = log x – 1 ⇒  x-intercept = (10 , 0)

f(x) = -(log x – 2) ⇒ x-intercept = (100 , 0)

f(x) = log(-x – 2) ⇒ x-intercept = (-3 , 0)

f(x) = -log -(x – 1) ⇒ x-intercept = (0 , 0)

Step-by-step explanation:

* lets talk about the log

- If log a = b, that means the base of the log is 10

- To solve it we will change it to exponential function

∴ [tex]10^{b}=a[/tex]

* Now do that in each one of the problem

* ∵ f(x) = log x - 1

- To find the x-intercept put y = 0

∴ log x - 1 = 0 ⇒ add 1 to both sides

∴ log x = 1 ⇒ change it to exponential function

∴ [tex]10^{1}=x[/tex]

∴ x = 10

* The x-intercept = (10 , 0)

* ∵ f(x) = -(log x - 2)

- To find the x-intercept put y = 0

∴ -(log x - 2) = 0 ⇒ Multiply both sides by -1

∴ log x - 2 = 0 ⇒ add 2 to the both sides

∴ log x = 2 ⇒ change it to exponential function

∴ [tex]10^{2}=(x)[/tex]

∴ x = 100

* The x-intercept = (100 , 0)

* ∵ f(x) = log (-x - 2)

- To find the x-intercept put y = 0

∴ log (-x - 2) = 0 ⇒ change it to exponential function

∴ [tex]10^{0}=(-x-2)[/tex] ⇒ any number to the power of zero = 1 except 0

∴ -x - 2 = 1 ⇒ add 2 to the both sides

∴ -x = 3 ⇒ multiply both sides by -1

∴ x = -3

* The x-intercept = (-3 , 0)

* ∵ f(x) = -log -(x - 1)

- To find the x-intercept put y = 0

∴ -log -(x - 1) = 0 ⇒ multiply both sides by -1

∴ log -(x - 1) = 0 ⇒ change it to exponential function

∴ [tex]10^{0}=-(x-1)[/tex] ⇒ any number to the power of zero = 1 except 0

∴ -(x - 1) = 1 ⇒ multiply both sides by -1

∴ x - 1 = -1 ⇒ add 1 to both sides

∴ x = 0

* The x-intercept = (0 , 0)

Answer:

Please mark as Brainliest :)

Step-by-step explanation:

suppose you are in your last semester of college and have a 2.75 GPA after 105 credit hours if you are taking 15 credit hours in your last semester and get a perfect 4.0 GPA what will your overall GPA be is it possible to get your GPA up to 3.0 for the graduation​

Answers

Answer:

The overall CGPA would be 2.90 so it is not possible for hum to secure a CGPA of 3 for graduation.

Step-by-step explanation:

Given,

CGPA = 2.75

Credit hours = 105

Last semester GPA = 4

Last semester credit hours = 15

CGPA = [tex]\frac{sum of (Credit hours of each subject * GPA of each subject)}{Total credit hours}[/tex]credit hours * gpa

in our case, it would be:

CGPA = [tex]\frac{(2.75*105)+(4*15}{105+15}[/tex]

=> [tex]\frac{(288.75)+(60)}{120}[/tex]

=> [tex]\frac{348.75}{120}[/tex]

=> 2.90

The overall CGPA would be 2.90 so it is not possible for hum to secure a CGPA of 3 for graduation.

Will mark brainest! Please look at the image for the question! (:

Answers

I believe the answer is d

Your science teacher recently gave a quiz to 28 students present in class. The class average was an 82.5. Five students that were absent made up the quiz after schoolamd their scores were a 78, 89,92,,99, & 63. Find the new class average with the newscores

Answers

Total students in the class who got the quiz = 28

The average of the class average was = 82.5

Five students that were absent made up the quiz after school and their scores were a 78, 89,92,99, & 63.

The formula for an average= (sum of values) / (count of values)

As the average is given as 82.5 and there were 28 students, so sum of the 28 values will be = [tex]28\times82.5=2310[/tex]

Total students of the class = 28+5(absent) = 33

For 33 students the total score was = 2310 +(78+89+92+99+63)

= 2731

So, average for 33 students will be = [tex]\frac{2731}{33} =82.757[/tex] or 82.76

So, the new class average is 82.76

What is the volume of a square pyramids

Answers

Answer:

[tex]\large\boxed{V=75\ in^3}[/tex]

Step-by-step explanation:

The formula ogf a volume of  a pyramid:

[tex]V=\dfrac{1}{3}BH[/tex]

B - area of a base

H - height

We have a base length a = 5 in and a height H = 9 in.

In the base we have a square. The formula of an area of a square is:

[tex]B=a^2[/tex]

Substitute:

[tex]B=5^2=25\ in^2[/tex]

Calculate the volume:

[tex]V=\dfrac{1}{3}(25)(9)=(25)(3)=75\ in^3[/tex]

What is the product? 2y/y-3 multiplied by 4y-12/2y+6

Answers

Answer:

The answer is [tex]\frac{4y}{y+3}[/tex]

Step-by-step explanation:

See the attached figure

Answer:

[tex] \frac { 4y } { y + 3 } [/tex]

Step-by-step explanation:

We are given the following terms and we are to find their product:

[tex] \frac { 2y } { y - 3 } \times \frac { 4y - 12 } { 2y + 6 } [/tex]

[tex] \frac { 8y^2 - 24y } { 2y^2 - 6y + 6y - 18 } [/tex]

Taking the common terms out and cancelling them to get:

[tex] \frac { 2 (4y^2 - 12y ) } { 2 (y^2 - 9 ) } [/tex]

[tex] \frac { 4y ( y - 3 ) } { ( y + 3 ) ( y - 3 ) } [/tex]

[tex] \frac { 4y } { y + 3 } [/tex]

Brew Ha Ha Coffee produces two types of coffee blends: Morning,x,and House,y. The Morning blend has 9oz of a Guatemalan coffee and 7oz of Brazilian coffee. The company makes $2 in profit from each bag of Morning Blend sold and $2.50 in profit from each bag of House Blend sold. The company has 400oz of both the Guatemalan and Brazilian coffees available.

This set of inequalities represent the constraints in this situation.
9x+6y<400
7x+10y<400
X>0
Y>0

The company wants to maximize its profits by using the objective function P = 2x + 2.5y

What is the maximum profit.

88
0
160
106

Answers

Answer:

Fourth option

Step-by-step explanation:

When graphing the given inequalities you will get a region like the one shown in the attached image. This region is delimited by 4 straight

[tex]x = 0\\\\y = 0\\\\9x + 6y = 400\\\\7x + 10y = 400[/tex]

The points indicated at the ends of the region are the maximum possible values of x and y.

We must test these points in the objective function [tex]P = 2x + 2.5y[/tex] and see which point maximizes the value of P.

Remember that the boundaries of the region are not included.

We can prove the point x = 0 and y = 39 because (0,4) is not included in the region.

[tex]P = 2(0) + 2.5(39) = 97.5[/tex]

Now we test the point x = 33 and y = 16

[tex]P = 2(33) + 2.5(16) = 106[/tex]

Now we test the point x = 44 and y = 0

[tex]P = 2(44) + 2.5(0) = 88[/tex]

Finally the optimal value is:

x = 33 oz

y = 16 oz

With a gain of $106

simplify (3x-8)+(2x+5)-(4x-8)

Answers

Answer:

[tex]\large\boxed{(3x-8)+(2x+5)-(4x-8)=x+5}[/tex]

Step-by-step explanation:

[tex](3x-8)+(2x+5)-(4x-8)\\\\=3x-8+2x+5-4x-(-8)\\\\=3x-8+2x+5-4x+8\qquad\text{combine like terms}\\\\=(3x+2x-4x)+(-8+5+8)\\\\=x+5[/tex]

Final answer:

To simplify the expression (3x-8)+(2x+5)-(4x-8), distribute the negative sign, combine like terms, and simplify to x+5.

Explanation:

To simplify the expression (3x-8)+(2x+5)-(4x-8), we need to combine like terms. Start by distributing the negative sign in front of the parentheses that contain (4x-8):



(3x-8)+(2x+5)-4x+8



Now, combine the like terms:



3x+2x-4x-8+5+8



Combine similar terms:



1x+5



So, the simplified expression is x+5.

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A bowl has 3 plums and 5 pears. A second bowl has 2 plums and 4 pears. You randomly chose one piece of fruit from the first bowl and one piece of fruit from the second bowl. What is the probability that they are both plums?

Answers

3x/5y = 60% 2x/4y=50%

3(q-7)=27 solve for q

Answers

Answer:

q =16

Step-by-step explanation:

q - 7 = 27/3

q = 9 + 7

q = 16

Best regards

q = 16



First, divide both sides o the equation by 3.

q - 7 = 27 / 3

q - 7 = 9

Now, add 7 on both sides.

q = 16

What is the perimeter of the shape below

Answers

Answer:

20

Step-by-step explanation:

look at picture and you can add all the numbers becuase i counted the sides

Brahim completed 18 free throws and missed 12.

Using experimental probability, how many free throws is he predicted to complete in the next 100 tries?



A.
6


B.
36


C.
48


D.
60

Answers

Most likely I would pick B

Answer:

The answer is D. 60

Step-by-step explanation:

Step 1: 18 + 12 = 30

18 = 60% of 30, therefor with this knowledge we know that 60% of a hundred, or 60 will be the answer.

(I also have proof, as I have done this quiz before.)

I hope my answer is correct.

[Please give brainliest!]

Have a good day,

-johannelbekian

Albert buys a car for $12,000. The value of the car depreciates about 9% per year. After about how many years will the car be worth $7500?

Answers

Answer:

[tex]5\ years[/tex]  

Step-by-step explanation:

we know that

The  formula to calculate the depreciated value  is equal to  

[tex]D=P(1-r)^{t}[/tex]  

where  

D is the depreciated value  

P is the original value  

r is the rate of depreciation  in decimal  

t  is Number of Time Periods  

in this problem we have  

[tex]P=\$12,000\\r=9\%=0.09\\D=\$7,500[/tex]

substitute in the formula above and solve for t

[tex]\$7,500=\$12,000(1-0.09)^{t}[/tex]  

[tex](7,500/12,000)=(0.91)^{t}[/tex]  

Apply log both sides

[tex]log(7,500/12,000)=t*log(0.91)[/tex]  

[tex]t=log(7,500/12,000)/log(0.91)=5\ years[/tex]  

HELP ASAP! GIVING BRAINLIEST!!

Trapezoid RSTU is reflected over X and then over Z. What is the image of the rotation?

A) Trapezoid NOLM

B) Trapezoid BADC

C) Trapezoid RSTU

Answers

Answer:

A

Step-by-step explanation:

B C were already used in the graph

The answer is A) Trapezium NOLM. If you reflect RSTU over the X axis it produces the trapezium in the top left. Then flipping it over the Z axis is bottom right, NOLM.

Plz helppppppppppppppp

Answers

Answer:

[tex]\large\boxed{Area:\ 69\ ft^2}\\\\\boxed{Perimeter:\ 58\ ft}[/tex]

Step-by-step explanation:

Look at the picture.

The perimeter:

[tex]P=3+17+12+2+9+15=58\ ft[/tex]

We have two rectangles 12 ft × 2 ft and 15 ft × 3 ft.

Calculate the areas of the rectangles:

[tex]A_1=(12)(2)=24\ ft^2\\\\A_2=(15)(3)=45\ ft^2[/tex]

The area of the figure:

[tex]A=A_1+A_2\\\\A=24+45=69\ ft^2[/tex]

The sum of 18 and twice a number use n to rep
Repesent unknown number

Answers

18+2n. For sure hope it helps

18+2n. Hope this helps!

What is 4/5 turned into a percent

Answers

Answer:80 %

Step-by-step explanation:

Answer:

80%

Step-by-step explanation:

4 divided by 5 is 0.8. 0.8 is 80%.

What is 0.95 rounded off to the nearest whole number

Answers

1.00 would be your answer because 95 rounded up is 100. So, 0.95 is closest to 1.00

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