Solve the system of equations.

7x – y = 7
7x2 – y = 7

(0, 7) and (0, –7)
(1, 0) and (0, –7)
(3, 14) and (0, –7)
(4, 14) and (–1, 10)

Answers

Answer 1

Answer:

2nd option

Step-by-step explanation:

7x - y =  7 ( multiply through by - 1 )

- 7x + y =- 7 ( add 7x to both sides )

y = 7x - 7 → (1)

7x² - y = 7 → (2)

substitute y = 7x - 7 into (2)

7x² - (7x - 7) = 7 ← distribute parenthesis on left side

7x² - 7x + 7 = 7  ( subtract 7 from both sides )

7x² - 7x = 0 ← in standard form

7x(x - 1) = 0 ← in factored form

equate each factor to zero and solve for x

7x = 0 ⇒ x = 0

x - 1 = 0 ⇒ x = 1

substitute these values into (1) for corresponding values of y

x = 0 : y = 7(0) - 7 = 0 - 7 = - 7 ⇒ (0, - 7 )

x = 1 : y = 7(1) - 7 = 7 - 7 = 0 ⇒ (1, 0 )

Answer 2

Answer:

B. (1, 0) and (0, –7)

Step-by-step explanation:

I took the algebra exam


Related Questions

What is the slope of a line parallel to a line whose slope is -5/2?
A) -5/2
B) -2/5
C) 2/5
D) 5/2

Answers

Answer:

A) -5/2

Step-by-step explanation:

Parallel lines have same slope.

A bouncy ball is dropped from a height of 16ft and always rebounds of the distance of the previous fall.
What distance does it rebound the 5th time?
What is the total distance the ball has travelled after this time?
Draw a picture to represent the bouncing ball.

Answers

The bouncy ball follows a geometric sequence or pattern

The distance of rebound the 5th time is 0.015625 ftThe total distance the ball has travelled after this time is 5.328125 feet

The distance of rebound the 5th time

The given parameters are:

Initial height, a = 16 ftRebound rate = 0.25

The distance at rebound n is represented as:

Hn = a * r^n

At the 5th time, we have:

H5 = 16 * 0.25^5

Evaluate

H5 = 0.015625

Hence, the distance of rebound the 5th time is 0.015625 ft

The total distance travelled

To do this, we calculate H1 to H5

So, we have:

H1 = 16 * 0.25^1 = 4

H2 = 16 * 0.25^2 = 1

H3 = 16 * 0.25^3 = 0.25

H4 = 16 * 0.25^4 = 0.0625

H5 = 0.015625

Add this distances

Total = 4 + 1 + 0.25 + 0.0625 + 0.015625

Total = 5.328125

Hence, the total distance the ball has travelled after this time is 5.328125

See attachment for the picture

Read more about geometric sequence at:

https://brainly.com/question/24643676

Mr Collins invested some money that will double in value every 12 years. If he invested $5,000 on the day of his daughter’s birth, how much will the investment be worth on his daughter’s 60th birthday?
A $160,000. B $300,000. C $80,000. D $320,000

Answers

Answer:

160000

Step-by-step explanation:

First calculate how many times that amount will be doubled, to do that:
60/12=5 times
Now let's DOUBLE the amount five times:
5000×2=10000
10000×2=20000
20000×2=40000
40000×2=80000
80000×2=160000

Hope it helps!

please help me with this

Answers

Answer:

[tex]183 ft^{2}[/tex]

Step-by-step explanation:

SA = bh + 2ls + lb

b = 6

h = 5

l = 9

s = 5.5

SA= (6 x 5) + 2(9 x 5.5) + (9 x 6)

SA = 30 + 2 x 49.5 + 54

SA = 30 + 99 + 54

SA = 183

A store sells apples and oranges. Apples cost 2. 0

Answers

Answer:

An apple costs $2? lol thats crazy

Miguel practiced more than 5 hours for his first soccer game. which inequality represents p, the amount of time Miguel practiced?

Answers

Answer:

P>5hours

Step-by-step explanation:

practice time is > five hours

John has 7 mice in his lab. He knows a mouse population doubles every month. When can he expect to have 2,625 mice? Please explain.​

Answers

Answer:

31 years and 3 months or non

Step-by-step explanation:

the first thought that comes into my mind is

1 month=7 mice

n month= 7×n=2625 mice

n= 2625÷7=375

so it takes him to 375 months = 31 year and 3 months

but putting on a 2nd thought, I noticed that mice and mouse is different species. so there aren't exact answer

The profits in hundreds of dollars, p(c), that a company can make from a product is modeled by a function of the price, c, they charge for the product: p(c) = –20c2 320c 5,120. what is the maximum profit the company can make from the product? $540,000 $640,000 $800,000 $896,000

Answers

Answer:

640,000

Step-by-step explanation:

took test

Answer:

B

Step-by-step explanation:

Edge 2022

Question 2*

10 poir

2

A bacterium has a radius of 3. 6 x 10-9 meters. What is the radius of this bacterium in

standard notation?

F 0. 0000000036 meters

G 0. 0000036 meters

H 0. 000000000036 meters

J 0. 000000036 meters

F) Option F

G) Option G

H) Option H

О

J) Option J

URGENT 10 POINTS

Answers

F)0.0000000036 meters

You roll a number cube one time. What is the probability that you roll a 6 or 4? Enter your answer as a fraction in simplest form.

Answers

That's two possibilities of a total of six =

2/6=1/3=33.33%

(1/3)

complete this sentence
48% of __is 12.
12= 0.48xw
w=?

Answers

25

Step-by-step explanation:

hope this helps for yoir homework

Dominic is buying candy by the pound for a party. For every 1010 pounds of candy he buys, he pays \$ 12$12. ​What is the cost, per pound, for the candy? ​

Answers

Assuming the amount he pays for 1010 pounds is $1212, the amount per pound is $.83 per pound


Which expression is equal to (12^4)^-2

A. 12^-8
B. 12^-6
C. 12^8
D. 12^6

Answers

Answer:

Hi I believe the answer is A I hope this helps.

Step-by-step explanation:

4x-2=-8

12^-8

Answer:

A. 12⁻⁸

Step-by-step explanation:

When an exponent is applied to a number which already contains an exponent, they should be multiplied.

(12⁴)⁻²12⁻⁸

The answer is A.

A certain gas has a volume of 10 liters at a temperature of 404 kelvins (k) and a pressure of 36 pascals (pa). if the temperature is raised to 450 k and the pressure is raised to 40 pa, what is its volume? to the nearest liter, the volume is liters.

Answers

The final volume of the ideal gas is 10.02 liters.

Given Initial volume V₁=10 liters

Initial temperature T₁=404K

Initial pressure P₁ = 36 pascals

Final volume = V₂

Final temperature T₂ = 450K

Final pressure P₂ =40 pascals

What is the ideal gas equation?

The ideal gas equation with usual notations is given by:

[tex]\frac{P_1V_1}{T_1} =\frac{P_2V_2}{T_2}[/tex]

So, [tex]\frac{36*10}{404} =\frac{40*V_2}{450}[/tex]

[tex]V_2=[/tex]10.02 liters

Hence, the final volume of the ideal gas is 10.02 liters.

To get more about the ideal gas visit:

https://brainly.com/question/20348074

Answer:

10 liters

Step-by-step explanation:

Find the mean absolute deviation of the data set: 1,3,7,11,13

Answers

6 minus the abs n at at the end of 10 and 5 to amplify the 23 and 20 bring it back n out of 0 to 9

Courtney is playing miniature golf. What is the area of the composite figure.

Answers

18. It is 18 because when you multiply 2x2 plus 4 x2 plus 2 x3 you get 4 plus 8 plus 6 = 18

210 divided by 30 please give step my step explanation

Answers

7Consider how many times 30 goes into 210(exactly 7 times) and that will be your answer.

In a triangle, a base and a corresponding height are in the ratio 3:2. The area is 108 in^2. Find the base and the corresponding height.​

Answers

base = 18

height = 12

Step-by-step explanation:

look at the photo its quick n ez

Rewrite the equation in exponential form, and show how you got there:

Answers

Answer: [tex]13^0=1[/tex]

Step-by-step explanation:

Logarithms are in the format [tex]log_{b} a=c[/tex] while exponential form is in the format [tex]b^c=a[/tex]

So we can transfer a,b, and c from the log form to the exponential form

[tex]log_{13} 1=0\\\\13^0=1[/tex]

How does the value of the 8 in 589,310 compare to the value of 8 in 598,301?
Options: It is 8 times as much, It is 10 times as much, It is 80 times as much, It is 100 times as much.

Answers

Answer:

It is 10 times as much.

Step-by-step explanation:

The value of 8 in 589,310 is 80,000, while the value of 8 in 598,301 in 8,000. Thus, 80,000 is 10 times as much as 8,000.

Answer:

it is 10 times as much

Step-by-step explanation:

⚠️⚠️⚠️HELP PLS I NEED HELP ⚠️⚠️⚠️​

Answers

Answer:

8 , 6 , 12

Step-by-step explanation:

Determine if the two functions f and g are inverses of each other algebraically. If not, why not? f(x)= 9x+12; g(x)= x-12/9

Answers

Answer:

They are not

Step-by-step explanation:

Check the attached photo out

A corner of a rectangle is cut, creating a trapezoid. a right trapezoid is shown. the angles are 90 degrees, 90 degrees, 45 degrees, and x. what is the value of x? 105o 115o 125o 135o

Answers

Answer:

D) 135

Step-by-step explanation:

Add 90+90+45, which is equal to 225,

then subtract that from 360, which is the amount that every quadrilateral has in total.

The answer is 135.

Hope This Helps! :) Please Give Brainliest if this does!

Answer:

D on edge

Step-by-step explanation:

You're welcome :)

A right angle forms a square corner, like the shown below. Draw two angles that are open less than the right angle. Solve this Problem any way you choose

Answers

Answer:

Any angle less than 90 degrees.

Step-by-step explanation:

90 degrees is a right angle. Anything less than that, or less open, would be an acute angle. Anything wider than 90 degrees is an obtuse angle.


© An object has a mass of 420 kg and a volume of 7 m3.
Find the density of the object in kg/m3.

Answers

Answer:

See below

Step-by-step explanation:

you want kg/m^3    so just divide

    420 kg / 7 m^3 = 60 kg/m^3

Answer: 60 kg/m3

Steps:
Formula for density.
= m / V

We are given m and V.
Let’s solve for .
= 420 / 7

= 60

Please helpppp meee outttt

Answers

Answer:

Measure of <z would 125 degrees

Step-by-step explanation:

chocolate milk cow answer

Answers

Answer:

what?

Step-by-step explanation:

Answer:

Please tell me what this means.

Which values of c will cause the quadratic equation –x2 3x c = 0 to have no real number solutions? check all that apply.

Answers

The given quadratic equation will not have any real solution for c<-9/4.

The given quadratic equation is:

[tex]-x^{2} +3x+c=0[/tex]

What is a quadratic equation?

Any equation of the form [tex]ax^{2} +bx+c=0[/tex] is called a quadratic equation with a≠0.

In order to have no real solution, the discriminant of a quadratic equation will be less than zero.

[tex]D < 0[/tex]

[tex]3^{2} -4(-1)(c) < 0[/tex]

[tex]9+4c < 0[/tex]

[tex]c < -\frac{9}{4}[/tex]

For [tex]c < -\frac{9}{4}[/tex] the given quadratic equation will have no real solutions.

Hence, the given quadratic equation will not have any real solution for c<-9/4.

To get more about quadratic equations visit:

https://brainly.com/question/1214333

Please help me out if appreciate it :)

Answers

Answer:

51

Step-by-step explanation:

they are congruent so they are equal to eachotjer

Help please it's due today. Also please leave an explanation too ty!
A square with sides 6 in is inscribed in a circle. The circumference of this circle is...
A. C = 6 * pi
B. C = 6 * square root of 2 * pi
C. C = 6 * square root of 3 * pi
D. C = 9 * pi
E. C = 36 * pi

Answers

Answer:

B. 6π[tex]\sqrt{2}[/tex]

Step-by-step explanation:

If you look at the help image I attached, what we are given is in RED and what we solve is in BLUE.

First, draw a diagonal in the square. Its length is the diameter, but we don't know the exact value. Since two right triangles have been created, we use Pythagorean Therom to solve for the hypotenuse/diameter:

[tex]a^2+b^2=c^2\\6^2+6^2=c^2[/tex]

[tex]\sqrt{36+36} =c[/tex]

[tex]6\sqrt{2}=c[/tex]

If diameter = [tex]6\sqrt{2}[/tex], then radius is  [tex]\frac{6\sqrt{2}}{2}[/tex]  or  [tex]3\sqrt{2}[/tex]

Circumference = 2πr

2π ([tex]3\sqrt{2}[/tex])

6π[tex]\sqrt{2}[/tex]

I hope this helps!

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