The product of two numbers is 144, but their sum is -24. What are these two numbers?

Answers

Answer 1

Answer:

The two numbers are - 12 and - 12 .

Step-by-step explanation:

Let the two numbers be x and y then

By the question

x * y = 144

or x = 144 / y ....... I)

Again

x + y = - 24

Or 144/y + y = - 24

or, ( 144 + y²) / y = - 24

or, 144 + y² = - 24y

y² + 24y + 144 = 0

y² + ( 12 + 12 ) y + 144 =0

y² + 12y + 12y + 144 = 0

y(y + 12 ) + 12 ( y + 14) = 0

( y + 12 ) ( y + 12 ) = 0

Either

y + 12 =0

y = - 12

Now

x = 144 / - 12 = - 12

Therefore the two numbers are - 12 and - 12 .

Hope it will help :)❤


Related Questions

Greg invests $500 in a savings account that earns 4% simple interest annually. If he does not make any additional deposits or withdrawals, how much money will be in the savings account after 5 years?

Answers

Answer:

600

Step-by-step explanation:

7(x-2)=21 help me with this answer plz show work

Answers

Answer:

x=5

Step-by-step explanation:

7 times x

7 times 2

7x-14= 21

14+14= 21+ 14

7x=35

x=5

7 times five equals 35

twice a certain number x is less than 8. Find the range of values of the number​

Answers

Answer:

F=2x +2

Step-by-step explanation:

The range of values for the certain number "x" is all real numbers less than 4.

Let's represent the certain number as "x."

The problem states that twice the certain number (2x) is less than 8. Mathematically, we can write this as:

2x < 8

Now, to find the range of values for "x," we need to solve for "x."

Divide both sides by 2:

x < 8/2

x < 4

So, the range of values for the certain number "x" is all real numbers less than 4. In interval notation, the range is (-∞, 4). This means "x" can take any value less than 4, including negative values and fractions that are less than 4.

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3/2 inches of snow fell in 3/4 of an hour. Which TWO statements are correct?
A) The unit rate is 2 inches of snow per hour.
B) The unit rate is 3 inches of snow per hour.
C) The unit rate is 9/8 inches of snow each hour.
D) At the same rate, 4 inches of snow will fall in 6 hours.
E) At the same rate, 12 inches of snow will fall in 6 hours.​

Answers

Answer:

A) The unit rate is 2 inches of snow per hour.

&

E) At the same rate 12 inches of snow will fall in 6 hours.

Step-by-step explanation:

Answer:

a and e

Step-by-step explanation:

did it on usatestprep

find the value of x in the triangle shown below

Answers

Answer:

√27

Step-by-step explanation:

use the pythagorean theorem

3²+x²=6²

9+x²=36

x²=27

√x²=√27

x=√27

For the first 3% of Pam's salary, her employer matches 100% of her 401(k) contributions, and from 3% to 12%, Pam's employer matches 50% of her 401(k) contributions. Pam's salary is $30,000, and last year, she contributed $4000 to her 401(k) plan. What was her employer's contribution to the 401(k)?  A. $4000  B. $3600  C. $2250  D. $1800

Answers

Her employer's contribution to the 401(k) was $2,500.

Calculus

Given that for the first 3% of Pam's salary, her employer matches 100% of her 401(k) contributions, and from 3% to 12%, Pam's employer matches 50% of her 401(k) contributions, and Pam's salary is $30,000 , and last year, she contributed $4000 to her 401(k) plan, to determine what was her employer's contribution to the 401(k) the following calculation must be made:

4000 / 12 x 3 = X1000 = X(4000 / 12 x 9) / 2 = X3000 / 2 = X1500 = X1000 + 1500 = 2500

Therefore, her employer's contribution to the 401(k) was $2,500.

Learn more about calculus in https://brainly.com/question/22810844

Answer: C. $2250

Step-by-step explanation: took the quiz.

Using the probabilities given, find the probability that a student earns a grade of A. (enter number in decimal form rounded to the nearest hundredth)​

Answers

Answer:

0.14

Step-by-step explanation:

Here, we want to find the probability that a student earns the grade of A

Mathematically, we have this as the frequency of A divided by the sum of all frequencies

From the question, the sum of all frequencies will be (5 + 10 + 15+ 3 +2) = 35

Now we place the frequency of A over this

This gives;

5/35 = 1/7 = 0.14

Which of the following 95% confidence intervals would lead us to reject Hp =0.30 in favor of
Hp *0.30 at the 5% significance level?
(a) (0.30, 0.38)
(b) (0.19, 0.27)
(c) (0.27, 0.31)
(d) (0.24, 0.30)
(e) None of these

Answers

According to the hypothesis tested, the confidence interval that would lead us to reject [tex]H_0: p = 0.3[/tex] in favor of [tex]H_0: p < 0.3[/tex] is given by:

(b) (0.19, 0.27)

What are the hypothesis tested?

At the null hypothesis, we test if the proportion is of 0.3, that is:

[tex]H_0: p = 0.3[/tex]

At the alternative hypothesis, we test if the proportion is less than 0.3, that is:

[tex]H_1: p < 0.3[/tex]

We want to reject [tex]H_0: p = 0.3[/tex] in favor of [tex]H_1: p < 0.3[/tex], hence we need an interval that is entirely below 0.3, which is given by option b.

You can learn more about confidence intervals at https://brainly.com/question/16236451

HELPP MEE PLSSSS RNNNN NO LINKS OR I WILL REPORT YOU!!
In the slope-intercept equation for a line, the coefficient of the
-term gives the slope

Answers

Answer:

x

Step-by-step explanation:

The formula of a line in its slope-intercept form is

y= mx + b

the slope is indicated by “m” that multiply the x

Acar traveled 50 miles in 40 minutes. Assume that the car will continue at this constant
rate of speed. Which equation would accurately give the total number of miles, M, for
any given number of hours, h?

Answers

Answer:

M = 75h

Step-by-step explanation: The way you get this answer is my dividing 50/40 = 1.25. then do 1.25x60 (1 hr because you have to continue to miles per hour) which gives 75H.

O D.y = -2x + 2
Q. If m=3 and b=6, what is the correct slope intercept equation?
answer choices
y=3-6
y=3X-6
y=3x+6
y=6x+3
US OP 10:31

Answers

Your answer is option 3:
1. You need to replace the numbers into
Y=mx+b
2 piecing it all together your answer will b:
Y=3x+6

what is the square root of 30​

Answers

Answer:

hi

Step-by-step explanation:

i think so...

[tex] \sqrt{30} = 5.47[/tex]

have a nice day

if bc is the diameter of the circle below, what is the area of the circle

Answers

Answer:

option a.

radius of the circle=3 units.

area of the circle= pi×r²

area of circle=pi×3²

area of circle=pi×9units²

Answer:

It's A. 9π square units.

Step-by-step explanation:

You know that bc is equaled to 6 since when you count it inside the circle, you get 6. Then you find the radius by dividing 6 by 2. So the radius is 3. You find the area by using this formula. A = π*[tex]r^{2}[/tex]. r = 3, so 3 square is 9. You don't know what is pi so you just write 9π. Therefore, the answer is A. 9π square units.

Multiply and simplify the following products. V stands for radical.
Example: (V5)2= (V5) (V5) = v(5 x 5) = 5
1. (19)
2. (V2) (13)
3. 2(12) x 3(3)

Answers

Answer:

(1) 9

(2) [tex]\sqrt{6}[/tex]

(3) 6([tex]\sqrt{6}[/tex])

Step-by-step explanation:

From the question,

(1) ([tex]\sqrt{9}[/tex])²

    Applyin the law of multiplication of surds

   ([tex]\sqrt{9}[/tex])²  = (

(2)  ([tex]\sqrt{2}[/tex])× ([tex]\sqrt{3}[/tex]) =

   Also applying the the law of multiplication of surd

   ([tex]\sqrt{2\\}[/tex])×([tex]\sqrt{3}[/tex]) =  ([tex]\sqrt{6}[/tex]) ( This is an irational answer)

   ∴ ([tex]\sqrt{2}[/tex])×([tex]\sqrt{3}[/tex])  = [tex]\sqrt{6}[/tex]

 (3) 2([tex]\sqrt{2}[/tex])×3([tex]\sqrt{3}[/tex])

     Also applying the law of multiplication of surds i.e Multiply surds to     surds and whole number to whole number

     = 2×3×([tex]\sqrt{2}[/tex])×([tex]\sqrt{3}[/tex])

       6×([tex]\sqrt{6}[/tex]) = 6(

Tú tienes la mitad de lo que tenías y tendrás el triple de lo que tienes. Si tuvieras lo que tienes, tenías y tendrás, tendrías lo que yo tengo que es 180 dólares más de lo que tú tendrás ¿Cuánto tenías? Ayuda por favor

Answers

Answer:

Nosotros teníamos 120 dólares.

Step-by-step explanation:

Sean [tex]x[/tex], [tex]y[/tex], [tex]z[/tex] lo teníamos, lo que tenemos y lo que tendremos, respectivamente. A continuación, traducimos puntos claves del enunciado en expresiones matemáticas:

(i) Tu tienes la mitad de lo que tenías:

[tex]y = \frac{1}{2}\cdot x[/tex] (1)

(ii) Tendrás el triple lo que tienes:

[tex]z = 3\cdot y[/tex] (2)

(iii) Si tuvieras lo que tienes, tenías y tendrás, tendrías lo que yo tengo que es 180 dólares más de lo que tu tendrás:

[tex]x+y+z = z + 180[/tex]

[tex]x + y = 180[/tex] (3)

En consecuencia, tenemos el siguiente sistema de ecuaciones lineales:

[tex]\frac{1}{2}\cdot x -y = 0[/tex] (1)

[tex]3\cdot y - z = 0[/tex] (2)

[tex]x + y = 180[/tex] (3)

La solución del sistema de ecuaciones es: [tex]x = 120[/tex], [tex]y = 60[/tex], [tex]z = 180[/tex].

Nosotros teníamos 120 dólares.

Can any of you guys help

Answers

Answer:

5

Step-by-step explanation:

Pythagoras theorem is a² = b² + c² (where a is the hypotenuse or the longest side)

To find the shorter side, you rearrange it so it becomes c² = a² - b² (whether it is c or b doesn't matter)

So √13² - 12² = 5

Find the area of the compound shape: *

Answers

Square Area: 64 in.
Triangle Area: 40 in.

Total Area: 104 in.

Hope this helps!!

help mee please i need this one right now

Answers

Answer:

where is the question

Step-by-step explanation:

chai

Find the slope of the line segment shown
A . -1/2
B.-1
C.1/2
D.1

Answers

Answer:

1 is the correct answer

Step-by-step explanation:

y2-y1/x2-x1=slope

-2-3/-3-2

-5/=-5

1

On Monday, a local hamburger shop sold a combined total of 592 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Monday?

Answers

Answer:

148

Step-by-step explanation:

148 x 3 = 444

444 + 148 = 592

(っ◔◡◔)っ ♥ Hope It Helps ♥

148 hamburgers were sold on Monday.

Let x be the number of hamburgers sold.

Since the number of cheeseburgers sold was three times the number of hamburgers sold, the number of cheeseburgers sold can be represented as 3x.

The total number of hamburgers and cheeseburgers sold was 592. So, we can set up the equation:

x + 3x = 592

Combine like terms:

4x = 592

Now, solve for x by dividing both sides by 4:

x = 592 / 4

x = 148

Therefore, 148 hamburgers were sold on Monday.

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Which of these expressions or phrases can be used to represent the model choose all the correct answers



Pls no BOT part ;(

Answers

Step-by-step explanation:

anyway.. for your answer i only know that number of fifths in 1 is correct I dont know about the rest.

There are 4 red cars and 8 black cards in a bag. How is it likely that you will randomly draw a blue card

Answers

Answer:

C) Impossible

Step-by-step explanation:

Since there are no blue cards, the probability that you'd draw one is 0/12, which means that there is no chance you'll draw one.

find a distance between the two points

Answers

i dont seem to understamd

Step-by-step explanation:

To find the distance you need the distance formula. The distance formula is [tex]\sqrt{(x_{2}-x_{1} )^{2} + (y_{2}-y_{1})^2 }[/tex]. Order the pairs with a 1 or a 2. Look at he point that you labeled 2. Substitute any of the points with a 2 subscript into the equation. The x value is the first number in the ordered pair and the y value is the second number in the ordered pair. Repeat this with the ordered pair you labeled as 1. Substitute the numbers in. You should get something like this: [tex]\sqrt{(-7-5)^{2} + (-7-9)^{2} }[/tex]. If you are doing this without a calculator, it is easier than you think. Remember PEMDAS? Well apply that with this. Find out the solution to the parenthesis first. The first parenthesis should come out with[tex](-12)^{2}[/tex]. Finish the expression off by evaluating the expontent. That comes out to 144. Try this with the next parenthesis... The answer should be 256. Your square root should look like this: [tex]\sqrt{144+256}[/tex]. Add the numbers under the parenthesis together and you should get [tex]\sqrt{400}[/tex]. I'm sure you have a calculator in you hand ready to solve this. NOW YOU FIND THE ANSWER!!!

Select the equivalent expression. −4(2a−3)+5a
1. 3(a+4)
2. −3(a−4)
3. −3(a+4)
4. 3(a−4)

Answers

i think it’s number 4 not sure though

Solve for w.
-2 = w + 7

Answers

Answer:

-9

Step-by-step explanation:

I just took the same test

Please help! This is past due and i need it in in like 30 minutes. Ill be posting more questions soon so stay here.

Answers

Answer:

384 square inches

Step-by-step explanation:

The side is 10×5=50

There are 4 sides of equal surface area so we are at 200

The floor is 8×10=80 so we are at 280

The front is 8×5=40 and the back is the same so add another 40 so we are at 360

Add the little triangles which are 4×3=12 and you add the back as well so we get 384 square inches

G(b) = 5b- 9 h(b) = (b - 1)^2 Evaluate. (hog)(-6) =

Answers

Given:

The two functions are:

[tex]g(b)=5b-9[/tex]

[tex]h(b)=(b-1)^2[/tex]

To find:

The value of [tex](h\circ g)(-6)[/tex].

Solution:

We have,

[tex]g(b)=5b-9[/tex]

[tex]h(b)=(b-1)^2[/tex]

We know that,

[tex](h\circ g)(b)=h(g(b))[/tex]

[tex](h\circ g)(b)=h(5b-9)[/tex]

[tex](h\circ g)(b)=[(5b-9)-1]^2[/tex]

[tex](h\circ g)(b)=[5b-10]^2[/tex]

Putting [tex]b=-6[/tex], we get

[tex](h\circ g)(-6)=[5(-6)-10]^2[/tex]

[tex](h\circ g)(-6)=[-39-10]^2[/tex]

[tex](h\circ g)(-6)=[-49]^2[/tex]

[tex](h\circ g)(-6)=2401[/tex]

Therefore, the value of [tex](h\circ g)(-6)[/tex] is 2401.

Write an equivalent ratio for 1:2

Answers

Answer:

2:4

Step-by-step explanation:

Answer:

3:6

4:8

5:10

6:12

7:14

8:16

etc...

J
L
N
M
If mZJKN = 28º and mZKLM = 103°, find mZJML.

Answers

Answer:

98°

Step-by-step explanation:

each half adds up to 180° so 103+28=131 then 180-131=49

and that would be just one of the bottom angles so you would double it to get 98

Just need help with this !

Please anyone answer as soon as you can

Don’t send the link that hacks you :/

Answers

Answer:

check all boxes except for the last 1

Agree
All except the very last
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