A system of equations is given.

​y= x^2 −9
y= −2x−1

​What is one solution to the system of equations?

Answers

Answer 1

Answer:

(-4,7)

Explanation:

I graphed the two equations with a graphing tool.

The first equation forms a parabola.

The second equation is linear.

The graphed equations intercept at two points. Since the question asked for one, then one solution of the system is (-4,7).

A System Of Equations Is Given.y= X^2 9y= 2x1 What Is One Solution To The System Of Equations?
Answer 2

Answer:

(- 4, 7 ) and (2, - 5 )

Step-by-step explanation:

Given the 2 equations

y = x² - 9 → (1)

y = - 2x - 1 → (2)

Substitute y = x² - 9 into (2)

x² - 9 = - 2x - 1 ( subtract - 2x - 1 from both sides )

x² + 2x - 8 = 0 ← in standard form

(x + 4)(x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 4 = 0 ⇒ x = - 4

x - 2 = 0 ⇒ x = 2

Substitute these values into (2) for corresponding values of y

x = - 4 → y = - 2(- 4) - 1 = 8 - 1 = 7 ⇒ (- 4, 7 )

x = 2 → y = - 2(2) - 1 = - 4 - 1 = - 5 ⇒ (2, - 5 )


Related Questions

A cylindrical stool is 18 inches wide and 25 inches tall. What is the volume inside the stool?

Answers

Answer: The volume inside the stool is 6,361.72 cubic inches.

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Volume of a cylinder (V) : π x (diameter/2)² x height

The width of the stool is also the diameter of the stool.

Replacing with the values given and solving for v (Volume)

V =  π  x   (18/2)  ²   x  25

V =  6,361.72 in3

In conclusion, the volume inside the stool is 6,361.72     cubic inches.

Feel free to ask for more if needed or if you did not understand something  

Amy just put new tires on her car. if the wheels have a diameter of 8 inches, a out how far does the wheel travel in 2 revolutions​

Answers

Answer:

50.24 in

Step-by-step explanation:

to find how far it it will go you will need to find the circumference and times it by 2 to find the circumference the formula is 2*pi*radius so you would do 2*3.14*4 and that is 25.12 but since it is 2 revolutions​ you times 25.12 by 2

Answer:

50.24 in

Step-by-step explanation:

Find the volume. Please

Answers

Look at the attached picture

Hope it will be helpful to you....

Good luck on your assignment

-pragya~~

Cylinder A has a radius of 10 inches and a height of 5 inches. Cylinder B has a volume of 750. What is the percentage change in volume from cylinder A to cylinder B

Answers

Answer:

52.25%

Step-by-step explanation:

Answer rounded

Answer:

50% increase

Step-by-step explanation:

Hope this helps :)

Which equation is represented by the graph below?

Answers

Answer:c

Step-by-step explanation:

Answer:

A or C but i believe it to be C

Step-by-step explanation:

How do you use math every day?

Answers

Answer:

Figuring out distance, time and cost for travel

shopping for the best price

Step-by-step explanation:

The sum of two consecutive numbers is n+1. What are the numbers?

Answers

Answer: n/2, n/2+1

Step-by-step explanation:

Consecutive numbers are always 1 more than the previous (n, n+1, n+2, n+...), and their sums are (like) n+n+1 or 2n+1 (n is the first number).

So in this situation (x is the first number);

n+1=x+x+1

n=x+x, n=2x

n/2=x

Meaning that the first number is n/2, and the second (n/2)+1 or just n/2+1.

I'm bad at explaining.

Stefani slices a right rectangular pyramid with a plane and the cross-section is in the
shape of a trapezoid. How does Stefani slice the pyramid?
А
parallel to the base through the vertex
В
perpendicular to the base through the vertex
C parallel to the base but not through the vertex
D perpendicular to the base but not through the vertex

Answers

Answer:

Option D.

Step-by-step explanation:

If Stefani slices the pyramid

Option A). parallel to the base through vertex, cross section will not be a trapezoid.

Option B). perpendicular to the base through the vertex, cross section will be a triangle.

Option C). parallel to the base but not through the vertex, cross section will be a rectangle.

Option D). Perpendicular to the base but not through the vertex, cross section will be a trapezoid.  

-1 x is a interger
write down the possible values of x

Answers

x can be any integer. This is because -1 multiplied by an integer is still an integer.

Find the slope of a line containing the points (-2,-6) and (-6, -4)

Answers

Answer:

1/-2

Step-by-step explanation:

-4+6/-6+2

Answer:

-1/2

Step-by-step explanation:

hi please help me w thisss
explain please thank uuu

Answers

Answer:-1 to the 8th powe

Step-by-step explanation:

Hi! Got a question.
What is the volume of a cylinder whose base area is 200 cm squares and a height of 8 cm.
Thanks!!
p.s: please do explain.

Answers

Answer:

1600cm³

Step-by-step explanation:

Volume of a cylinder = πr²h

area of a circle = πr²

area of base circle = 200cm²

h = 8

200 * 8

= 1600cm³

Answer:

Volume is 1600 cm ^3

Step-by-step explanation:

V= Base area x Height

h= 8 cm

B.A.= 200 cm^2

1. Solve the system using substitution (+20 pts)

y = 2x – 2
y = –3x + 13

Answers

Step-by-step explanation:

[tex]y=2x-2\\y=-3x+13[/tex]

[tex]2x-2=-3x+13[/tex]

[tex]5x-2=13[/tex]

[tex]5x=15[/tex]

x = 3

Now that we know x equals 3, we can plug it into one of the equations.

[tex]y=2(3)-2[/tex]

[tex]y=6-2[/tex]

y = 4

You just got a free ticket for a boat ride, and you can bring along 2 friends! Unfortunately, you have 6 friends who want to come along.
How many different groups of friends could you take with you?

Answers

you can bring 3 groups of 2 people along with you on the boat ride

Answer:

15

Step-by-step explanation:

Khan Academy

1. What is the volume of 0.75 liters expressed in mm cubed?​

Answers

Answer:

750,000 mm^3

Step-by-step explanation:

1 liter = 1000 cm^3

1 cm^3 = 1000 mm^3

0.75 liter * (1000 cm^3)/(1 liter) * (1000 mm^3)/(1 cm^3) = 750,000 mm^3

3 1/3 -(5 1/2 x-2 1/6 )+8 5/9 x

Answers

Answer:

Look at the attachment

Please help me I am very stuck on this question.

Answers

Answer:Well what is it?

Step-by-step explanation: tell me your question.

Answer:

Hi there!

The correct answers for the question are:

For 45 mph, the trip time is: 9.78

For 55 mph, the trip time is: 8.36

For 65 mph, the trip time is: 7.38

Step-by-step explanation:

The values given to you represent the variable "S" so therefore you just plug in the values into the equation and you get "t"

Which is the equation of a line that has a slope of -2/3and passes through point
(-3,-1)?

Answers

Answer:

y=-2/3x-3



Explanation

What is the solution for t in the equation? 2/3t - 1/5t = 2

Answers

Answer:

t= 30/7 or 4 and 2/7 (depend on if the answer calls for improper or mixed number form. they're the same answer written in different forms.)

Step-by-step explanation:

First, you must simplify. 2/3 minus 1/5 equals 7/15. So, the simplified expression is 7/15t=2. Then you have to divide each side by 7/15 to separate t from its coefficient. 2 divided by 7/15 is equal to 2 times 15/7 becausedivision of fractions is done by multiplying by the reciprocal. 2 times 15/7 equals 30/7, or 4 and 2/7 when simplified.

A certain television is advertised as a 10-inch TV (the diagonal length). If the width of
the TV is 6 inches, how many inches tall is the TV?

Answers

Answer:

60?

Step-by-step explanation:

60/6 = 10?

idk if this is how that works lol

What is the yintercept of the line given by the equation below? Enter your
answer as an ordered pair.
y=4/17x+5

Answers

An

Step-by-step explanation:

FIRST TO ANSWER (CORRECTLY) GETS BRAINLIEST :))
I NEED HELP ASAP THO SO PLS HELP

Answers

Answer:

C and E

Step-by-step explanation:

A.  5* 1/6-5/6

B. 5*2/3=3 1/3

C. 5* 5/3=8 1/3

D5*6/7=4 2/7

E. 5*7/5=7

What is the surface area of this solid?

Answers

Answer:

SA. = 62.8 +87.92= 150.72

Step-by-step explanation:

surface area of cone without base = pi*r*s = 3.14 * 2* 10 = 62.8

Surface area of cylinder without base = 2*pi*r*h + pi*r*r

                                                               = 2* 3.14 * 2 * 6 + 3.14*2*2

                                                               = 75.36 + 12.56 = 87.92

SA. = 62.8 +87.92= 150.72

The required surface area of the solid is 150.72.

Given
slant length
of cone = 10
length of cylinder = 6  
Common radius = 2

What is surface area?

Surface area is defined as the area of the surface that are uncovered.

Surface area of cone = π x r xs
= 3.14 x 2 x 10
= 62.82

Surface area of cylinder  = 2 x π x r x h + π x r²
= 2 x 3.14 x 2 x 6 + 3.14 x 2 x 2
= 87.9
The required surface area of solid= surface area of cone + surface area of cylinder
= 62.80 + 87.9
= 150.72

Thus, the required surface area of the solid is 150.72.

Learn more about surface area here:
https://brainly.com/question/2835293

#SPJ2

Which graph represents a quadratic function that has one real zero

Answers

Answer:

In the figure attached, an example is given.

Step-by-step explanation:

No options are shown in the question, so I will answer it in general terms.

in the graph of a quadratic function that has one real zero the function intersect the x-axis only once. This means that the function intersects the x-axis at its vertex.

Answer:

its a

Step-by-step explanation:

Pls HELPPPP!!!!!!!!!!

Answers

Hey!!!

here's your answer

Area of rectangular field=L*B

=9/10*1/2

=9/20 square mile

So the right answer is of option A

Hope it helps...

Good luck on your assignment

I say the answer is a

1+1-2=

please answer haha it's easy but i wanna give points only to those who need it ;)

Answers

Answer:

Step-by-step explanation:

0

Answer:

0

Step-by-step explanation:

2-2=0

tnx fr the free points!!!

PLEASE HELP IM SO CONFUSEDDD

Answers

Answer:

x = 30

Step-by-step explanation:

The figures are similar, thus the ratios of corresponding sides are equal, that is

[tex]\frac{x}{18}[/tex] = [tex]\frac{45}{27}[/tex] ( cross- multiply )

27x = 810 ( divide both sides by 27 )

x = 30


The sum of three numbers is 112
The second number is 5 times the first.
The third number is 20 less than the second.
What is the second number?

Answers

Answer:

112    111  000 333  444  555  666  777  88  99900   1

Step-by-step explanation:

111  112  110  999  444  911  333 3333  33333333

Can someone help me with 24 please?

Answers

Answer:

A(-3, -7)  B(2,-1)  C(-2,0)  D(-5,6)

Step-by-step explanation:

A(3,7) B(-2,1) C(2,0) D(5,-6)

180 rotation around origin = (-x,-y)

A(3,7) - A(-3,-7)

B(-2,1) - B(2,-1)

C(2,0) - C(-2,0)

D(5,-6) - D (-5,6)

Answer:

A(-3, -7)  B(2,-1)  C(-2,0)  D(-5,6)

Step-by-step explanation:

A(3,7) B(-2,1) C(2,0) D(5,-6)

180 rotation around the origin would equal (-x,-y)

A(3,7) - A(-3,-7)

B(-2,1) - B(2,-1)

C(2,0) - C(-2,0)

D(5,-6) - D (-5,6)

Solve for x rounded to the nearest tenth.
tan 35=16/x

Answers

It is equal to 16/35 and round to nearest tenth is 0.4571428
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