if the sum of two numbers is four and the sum of their squares minus three times their product is 76, find the numbers

Answers

Answer 1

Answer:

Numbers =(6,-2 )

Step-by step explanation:

Given

the sum of two numbers is four and the sum of their squares minus three times their product is 76,

Let the first term =X

Second term will be=4-x

So

X^2+(4-x)^2-3x(4-x)=76

x^2+16+x^2-8x-12x+3x^2=76

5x^2-20x+16=76

5x^2-20x-60=0

5(x^2-4x-12)=0

So x^2-4x-12=0

x^2-(6-2)x-12=0

x^2-6x+2x-12=0

X(x-6)+2(x-6)=0

(X-6)(X+2)=0

X=6,-2

Let X=6 and -2 then numbers will be 6 and (4-6)=-2


Related Questions

Which is the best estimate of the product of the fractions? 4/7x8/9x14/15​

Answers

Answer:

is

Step-by-step explanation:

so I calculated this and I got a fraction

I got 64/135

Using the formula y = kx
If y is 27 when x is 3, what is the constant of variation?

Answers

Answer:

y=kx

y/x=kx/x (divided both side by x to find k)

k=y/x

k=27/3

k=9.

Let f(x) = 7x - 2, g(x) = -x + 4, and h(x) = -4x + 1.
Perform the indicated operation.

1. f(x) + g(x)
2. f(x) + h(x)
3. h(x) + g(x)
4. f(x) - g(x)
5. h(x) - f(x)
6. g(x) - h(x)

Answers

Answer:

Explanation:

1.
f(x) + g(x)
= (7x - 2) + (-x + 4)
= 7x - 2 - x + 4
= 6x + 2

2.
f(x) + h(x)
= (7x - 2) + (-4x + 1)
= 7x - 2 - 4x + 1
= 3x - 1

3.
h(x) + g(x)
= (-4x + 1) + (-x + 4)
= -4x + 1 - x + 4
= -5x + 5

4.
f(x) - g(x)
= (7x - 2) - (-x + 4)
= 7x - 2 + x - 4
= 8x - 6

5.
h(x) - f(x)
= (-4x + 1) - (7x - 2)
= -4x + 1 - 7x + 2
= -11x + 3

6.
g(x) - h(x)
= (-x + 4) - (-4x + 1)
= -x + 4 + 4x - 1
= 3x + 3

You spin the spinner twice. Find the probability of spinning a three and then a 4.
( There are 6 spaces)

Answers

Answer:

1/36

Step-by-step explanation:

chances of getting a 3 is 1/6 and a 4 is 1/6 multiply them and you get 1/36

Solve for X.

A. 168
B. 180
C. 21
D. 42

Answers

Answer:

I think C.

Step-by-step explanation:

Plug in 21 as x then add to get 180 which is the degree all of the angles in a triangle equal

One-half divided by three-fourths = StartFraction 1 Over a EndFraction times StartFraction b Over c EndFraction = StartFraction d Over e EndFraction

Select the values that correctly complete the problem.


a =

b =

c =

d =

e =

Answers

Answer:

your answer is

A= 2

B= 4

C= 3

D= 2

E= 3

Step-by-step explanation:

Answer:

a= 2

b= 4

c= 3

d= 2

e= 3

Step-by-step explanation:

i got it right loves

Your MOM has a 72 boyfriends and your dad see your mom cheating on you by kissing them and 9 of them jump off the window how many boyfriends are in the room still?

Answers

Given:

Total number of boyfriends = 72

Number of boyfriends who jump off the window  = 9

To find:

The remaining number of boyfriends.

Solution:

We need to subtract the number of boyfriend who jump off the window from the total number of boyfriends to get the remaining number of boyfriends.

[tex]\text{Remaining boyfriends}=72-9[/tex]

[tex]\text{Remaining boyfriends}=63[/tex]

Therefore, the number of remining boyfriends is 63.

Answer:

About 79 million

Step-by-step explanation:

Answer:

a lot

89 x 67= 292829

So hence that's the answer

Hope this helps! :)

Part B and part C
The function is f(x)=x^2+7x-8


Rewarding 18 points !!!!

Answers

Numbers on the table would be under
X Y
-6 -14
-5 -18
-7/2 -81/4
-3 -20
-2 -18
Now graph these points

WILL GIVE BRAINLEST!!!!!!!!!!!!!! ANSWER ASAP!!!!!!!!!!!!
The equation y = 1.5x represents the number of cups of dried fruit, y, needed to make x pounds of granola. Determine whether (18, 12) is a point on the graph of this proportional relationship.
A. yes
B. no

Answers

Answer:

B:No

Step-by-step explanation:

Its because 1.5x number of dried × x =? So we determine that its 18 but no otsnot 18, 12 not the point rather its 12,15.

What is the solution to t - 3 ≤ 12?

A.t ≤ 9

B.t ≤ 12

C.t ≤ 15

D.t ≤ 3

Answers

Answer:

C.t<15

Step-by-step explanation:

If T-3<12

T<12+3=15

T<15

I thought a bleep who lost the baddest bleep said sum

Answers

Answer:

i did say something boo boo

Step-by-step explanation:

Answer:

They did, I believe bleep's last words were "One day all this will fade away."

Step-by-step explanation:

May I have brainliest please? :)

Simplify each expression 2m+6(2/3-m);m=4

Answers

Answer:

3 (m-2)-5=8-2 (m-4)

Step-by-step explanation:

please mark me as brainliest.

Answer:

-12

Step-by-step explanation:

HELP ASAP DUE TODAY PLZ HELP
Solve the equation for x.
17=5+23x

Answers

Answer:

x=12/23

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

what is the
approximate age of an American elm tree with a diameter of 12
inches?
A 24 years
B. 36 years
C. 40 years
D. 48 years

Answers

The answer is D 48 Years

What is the answer
for n +2 x3 output

Answers

6. because at the beginning it is a positive

PLEASE ANSWER THIS ASAP !!!

Answers

Answer:

Step-by-step explanation:

Finding the answer to the second box is easy. Just look at where the line hits the y axis. That point is (0,5). Put a 5 in the second box.

-2

Now pick two points How about (0,5) and (2,1)

Givens

y2 = 5

y1 = 1

x2 = 0

x1 = 2

Formula

m = (y2 - y1) / (x2 - x1)

m = (5 - 1)/(0 - 2)

m = 4 / - 2

m = - 2

Answer

So the first box contains - 2

please answer asap i need to know this like right now

Answers

Answer:

The roots of the functions are x = -1, 0, 2

Step-by-step explanation:

The roots of the function f(x) are the values of x at f(x) = 0To find the roots of a function from the graph of the function, find the points of intersection between the graph and the x-axis because on the x-axis f(x) = 0

From the given graph

∵ The graph of the function intersects the x-axis in three points

→ That means the function has 3 roots

∴ The function represented by the given graph has 3 roots

∵ The graph intersects the x-axis at points (-1, 0), (0, 0), and (2, 0)

∴ The values of x-coordinates of these points are -1, 0, 2

∴ At f(x) = 0, x = -1, 0, 2

∵ The roots of the function are the values of x at f(x) = 0

→ That means the roots of the functions are x = -1, x = 0, and x = 2

The roots of the functions are x = -1, 0, 2

Determine the equations of any vertical asymptotes and the values of x for an holes in the graph of the ration funcion
1. asymptotes: x=4; hole: x=7
2. asymptotes: x=−4; hole: x=8
3. asymptotes: x=−8, x=−4; no holes
4. asymptotes: x=8, x=4; no holes

Answers

The vertical asymptotes are 4 and 8 and there are no holes.

The “strike zone” or distance across home plate is 17 inches. Determine how long a baseball pitched at 90 mph is in the strike zone. Show your work

Answers

Answer:

The ball will spend 10,730.4012 microseconds in the strike zone

Step-by-step explanation:

Here, we want to calculate the time spent by a ball in the strike zone given the distance across the strike zone and the speed of the ball

Mathematically, we have ;

time = distance/speed

Before we proceed to use this formula, we need to have the parameters in the same units

So let’s convert 17 inches to miles

Mathematically;

1 inch = 1.578 * 10^-5 mile

So 17 inches = 1.578 * 10^-5 * 17 = 0.00026826 miles

So let’s now calculate the time

That will be;

0.00026826/90 = 0.000002980667 hours

It will be best if we convert this to seconds

Mathematically,

60 seconds = 1 minute

60 minutes = 1 hour

So the number of seconds in an hour is 60 * 60 = 3600 seconds

= 0.000002980667 * 3600 = 0.0107304012

Mathematically, 1 second = 10^6 microseconds

Thus multiplying 0.0107304012 by 10^6

we have; 10,730.4012 micro seconds

Please help thank you!Choose the slope and y-intercept that
correspond with the graph.

Answers

Answer:

slope is 3, y-intercept is -1

Step-by-step explanation:

please give brainliest!

Answer:

slope=3      y-int. = -1

Step-by-step explanation:

y-intercept is point on y axis and slope is rise over run

i need your helpppppppp

Answers

Answer: 1.9 or 90%

Step-by-step explanation: it’s worth it x

Which cost category in the table shows an example of direct variation?



The total cost for office expenses to run the organic strawberry farm varies directly with the number of months it is used. Which equation represents this scenario?



What would be the total cost for office expenses for 24 months?

Answers

Answer:

Which cost category in the table shows an example of direct variation? WEED-HAND

The total cost for office expenses to run the organic strawberry farm varies directly with the number of months it is used. Which equation represents this scenario? Y=63x

What would be the cost for office expenses for 24 months? $1512.00

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

c

If a city with a population of 50,00 doubles in size every 12 years, what will the population be 24 years from now?

Answers

Answer:

20,000

Step-by-step explanation:

5,000 x 2 = 10,000

10,000 x 2 = 20,000

Step-by-step explanation:

So this is the way I would look at this like, you could say that since it doubles by x2 every 12 years by 24 years it would or could be 200,00 since you have doubled once already from 50,000 to 100,000 on the 12 years your gonna multiple that by 2 as well since you have reached your year mark.

that's personally the way I would look at it but I'm sure other people will ne able to help aswell or change mine.

cellus
Find the standard deviation of
the given data rounded to the
nearest hundredth.
147, 141, 120, 124, 128

Answers

Answer:10.3

Step-by-step explanation:

You are given an expression for the volume of the rectangular prism. Determine an expression for the missing dimension.
V equal 4 x to the power of 3 plus 5 x to the power of 2 minus 32 x minus 33 and the dimensions are ( x + 1 ) and ( x + 3 ) .

Answers

Given:

The volume of the rectangular prism is

[tex]V=4x^3+5x^2-32x-33[/tex]

Two dimensions are (x+1) and (x+3).

To find:

The missing dimension.

Solution:

We know that, volume of a rectangular prism is

[tex]V=length\times breadth\times height[/tex]

It means, volume of a rectangular prism is the product of all dimensions.

We have,

[tex]V=4x^3+5x^2-32x-33[/tex]

Splitting the middle terms, we get

[tex]V=4x^3+4x^2+x^2+x-33x-33[/tex]

[tex]V=4x^2(x+1)+x(x+1)-33(x+1)[/tex]

[tex]V=(x+1)(4x^2+x-33)[/tex]

Splitting the middle term, we get

[tex]V=(x+1)(4x^2+12x-11x-33)[/tex]

[tex]V=(x+1)(4x(x+3)-11(x+3))[/tex]

[tex]V=(x+1)(x+3)(4x-11)[/tex]

So, the three dimensions of the rectangular prism are (x+1), (x+3) and (4x-11).

Therefore, the missing dimension is (4x-11).

Answer:

the missing dimension is (4x-11).

18 Probability
2
A six-faced dice is thrown. What is the
probability of throwing:​

Answers

Answer:

18 ÷6=3

Step-by-step explanation:

pls make me ur brainliest

f^uck youion:aaaaaaacdagrtdsfgcxv

Kelsey painted 1/4 of her bedroom in 3/7 of an hour. At this rate, how long would it take her to paint the entire room? (5 points)
A3/28 of an hour
B 28/3of an hour
C12/7of an hour
D 7/12 of an hour ​

Answers

Answer:  can we be friends I’m homeless and live at the Krusty Krab

Step-by-step explanation:

A sailor on Ship A measures the angle between Ship B and the pier and finds it to be 39°. A sailor on Ship B measures the angle between Ship A and the pier and finds that it is 58°. What is the measure of the angle between Ship A and Ship B?


The measure between Ship A and Ship B is

Answers

Answer:

[tex]83^{\circ}[/tex]

Step-by-step explanation:

Let [tex]C[/tex] be the point that denotes the pier.

[tex]m\angle B=58^{\circ}[/tex]

[tex]m\angle A=39^{\circ}[/tex]

The angle between A and B is C

[tex]m\angle A+m\angle B+m\angle C=180^{\circ}\\\Rightarrow m\angle C=180^{\circ}-(m\angle A+m\angle B)\\\Rightarrow m\angle C=180^{\circ}-(58^{\circ}+39^{\circ})\\\Rightarrow m\angle C=83^{\circ}[/tex]

The measure of the angle between Ship A and Ship B is [tex]83^{\circ}[/tex].

Your painting company just completed one of the biggest jobs you've had. Based on that, you have been tasked with
an even bigger job. You calculated that you will have to paint a Surface Area with triple the dimensions of the
previous job. How much more paint will you need to buy?
9 times as much
6 times as much
2 times as much
3 times as much

Plz HURRY

Answers

Answer:

3 times

Step-by-step explanation:

if the surface area of the job is 3 times what you had before, you will need 3 times the paint.

Which expression represents an irrational number?
A. 0.18 repeating. B. √75. C. 2/3. D. √3-√3

Answers

A- cannot be in fraction form

The expression represents an irrational number are B. √75 and  D. √3-√3 .

What are irrational number?

Any number that cannot be expressed as the quotient of two integers i.e. p/q.

A. 0.18 = 18/100

⇒ it is expressed as quotient of two integers p/q.

∴ 0.18 is a rational number.

B. [tex]\sqrt{75}[/tex]

⇒it is not expressed as quotient of two integers p/q.

It is an irrational number.

C. 2/3

⇒it is expressed as quotient of two integers p/q.

∴ 2/3 is a rational number.

D. √3-√3

√3-√3 is not expressed as quotient of two integers p/q.

B. √75 and  D. √3-√3 are irrational numbers.

More about irrational number :

https://brainly.com/question/507420

#SPJ2

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