How many solutions will the system of equations have? System: y = 2x + 2 and y = x + 4

Answers

Answer 1
y=-2x+2
y=x2-2x+4

is the value of x such that when you plug it into both equations, they both produce the same value of y, or the value of x such that

-2x+2=x2-2x+4

solving this equation----------> x2=-2, taking square root of both sides gives x= ±√2i, or the system has no real solutions but has 2 complex solutions. If you graph both functions in the xy-plane, where x, y are real numbers, you' ll see they do not intersect, which implies there is no real number solutions.

Related Questions

HELP ASAP!!! Make t the subject of 5(t − g) = 2t + 7

Answers

Answer:

t=(7+5g)/3

Step-by-step explanation:

5(t-g)=2t+7

5t-5g=2t+7

5t-2t=7+5g

3t=7+5g

divide both side by 3

t=(7+5g)/3

As per linear equation, the variable 't' is subject of 5(t -g) = 2t + 7 as  [tex]t = \frac{5g + 7}{3}[/tex].

What is a linear equation?

"A linear equation is an algebraic equation where each term has an exponent of 1 and when this equation is graphed, it always results in a straight line. This is the reason why it is named as a 'linear equation'.

There are linear equations in one variable and linear equations in more than one variable. The standard form of a linear equation in two variables is of the form Ax + By = C. Here, x and y are variables, A and B are coefficients and C is a constant."

The given linear equation is:

5(t - g) = 2t + 7

We can calculate the value of the variable 't' by keeping it in the left hand side of the equation and then rest of the elements on the right hand side of the equation. Now we get:

⇒ 5t - 5g = 2t + 7

⇒ 5t - 2t = 5g + 7

⇒ 3t = 5g + 7

⇒ [tex]t = \frac{5g + 7}{3}[/tex]

Therefore, the value of the variable 't' in terms of the variable 'g' is  [tex]t = \frac{5g + 7}{3}[/tex].

To learn more about a linear equation here: https://brainly.com/question/11897796

#SPJ2

same and bethan share £54 into the ratio 5:4 how much does each person get

Answers

Sam will get £30
Bethan will get £24

Answer:

Sam gets £30 and Bethan gets £24

Step-by-step explanation:

5:4

5+4=9

£54/9= £6

£6 x 5= £30

£6 x 4 = £24

Therefore, Sam gets £30 and Bethan gets £24

Solve -5(y+5)>45 what is y

Answers

Answer:

y<−14 is the answer

Step-by-step explanation:

What is the solution for m

Answers

C is the correct answer for m

John used 6/8 of a cup of frosting to decorate some cakes. He divided all the frosting equally between 6 cakes. How much frosting did john use on each cake?

Answers

Answer:

1/8 of a cup of frosting on each cake

Step-by-step explanation:

Answer: 1/8

Step-by-step explanation:

someone help
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Answers

Answer:

What is the question??

Step-by-step explanation:

:/...

Please help!!!!.................,

Answers

Answer:

I think it's 45 lmk if I'm wrong lol

5 gallons 2 quarts − 1 gallon 3 quarts = ?

Answers

Answer:

3.75 Us gallon

Step-by-step explanation:

(5 US gallons 2 US quarts) - (1 US gallon 3 US quarts) =

The boxplot below displays the arm spans for 44
students.
Which of the following is the five-number summary for
the distribution of arm spans?
O 140, 160, 170, 180, 210
O 143, 162, 168, 180, 202
O 143, 165, 175, 185, 200
O 145, 158, 168, 182, 202
140 150 160 170 180 190 200 210
Arm Span (cm)

Answers

Answer: B.

Step-by-step explanation: I got it right on edg.

Hi what is 34+35????

Answers

Answer:

69

Step-by-step explanation:

Hmmm
69
Goodbyeeeeee
Hope you have a very good day!

Solve the equation square root x+4-3=1 for the variable. Show each step of your solution


So can you just explain how to do it

Answers

add 3 to both sidestake the square root of both sides subtract the 4 on both sides x equals the square root of four over negative 4

If five times a whole number increased by 3 is less than 13, then find the solution set.​

Answers

The equation: 5n+3< 13 simplified to: n<2

PLZZZZZZ HEEEELP WILL MARK BRAINLIEST!!!!!!!!

Answers

Answer:

w [tex]\geq[/tex] -2

Step-by-step explanation:

i think that the answer would be w [tex]\geq[/tex] -2

Answer:

w>-2

Step-by-step explanation:

Divide both sides by -10.

HELP I NEED HELP ASAP

Answers

I think the answer is 2.5

determine the missing angle​

Answers

Answer:

106°

Step-by-step explanation:

These angles are alternate interior, therefore they are equal to each other.

A rectangeler prism has a volume of 72 cubic units. How many unit cubes will fill the rectangular exactly

Answers

Answer:

4608 cubes

Step-by-step explanation:

It is very important to note that:

1 cube in a Rectangular Prism has a side length of 1/4

The volume of 1 cube = (side length)³

= (1/4)³ cubic units

We are told in the above question that:

A rectangular prism has a volume of 72 cubic units.

The number of unit cubes that will fill the rectangular prism exactly is calculated as:

72 cubic units ÷ (1/4)³ cubic units

= 72 cubic units ÷ (1/64) cubic units

= (72 × 64 ) cubes

= 4608 cubes

Therefore, the number of unit cubes that will fill the rectangular prism exactly is 4608 cubes

Is it a function or not a function?

Answers

Answer:

Not a function

Step-by-step explanation:

there's two 9's

it is not a function since there is two nines in x column

Answer the photo below thanks
Please explain your answer

Answers

Answer:

A = 1863

Step-by-step explanation:

There are a few ways you could do this but I will do the one I know best.

Keep in mind the area is the L(enght x W(idth) = A(rea)

There are two long rectangles if you cut off the square in the middle so find the area of those two first.

31 x 23 = 713

713 x 2 = 1426 (Did this to get the area for both of them.

Now find the area of the square.

23 x 19 = 437

The you would add them all up together to get 1426 + 437 = 1863

Hope this helps :)

Answer:

1,863

Step-by-step explanation:

ok I will try to explain my answer as easy and under standable as posable.

ok what I did is the left and right side of the building I drew two lines down the middle to crate two huge rectangles on each side and one small rectangle in the middle ok. hope you understand! if you don't click the file down below.

ok after you see the file you will under stand a lot better.

ok

what I did is on the left and right triangle I did 31 tall and 23 wide. what you do I multiply the two numbers.

31 x 23 = 713

then the middle triangle is 23 wide and I did 31 - 12 to get the tall of the triangle since it did not give it to you so I got 19.

so I multiplied 23 by 19 and got 437.

so you adding all three triangles and I get 1,863 by

713 + 713 + 437 = 1,863

hope this helps

Carlos bought 80 feet of rope for $17.60. He needs 20 more feet. If the unit price is the same how much will he pay for the extra 20 feet of rope? Show each step of your solution and explain your reasoning. im in advanced math tho so

Answers

Answer:

Another 20 feet would be +4.40$

so the total would be $22

Step-by-step explanation:

17.60/4 because 80/20 is 4.

find the quotient of 6y²-5y-56 and 2y-7.

help.​

Answers

Answer:

i have made it in above picture

What would you multiply by to decrease a number by 8%

Answers

Answer:

0.92

Step-by-step explanation:

take the 8 away from 100 = 92

then divide the 92 by 100

then you have your answer 0.92

The answer is 0.92 hope that helps

Can someone plz help me with this 1 question!!!

Answers

Answer:

no

Step-by-step explanation:

opposite of

[tex] - \frac{2}{5} [/tex]

is 2/5

Please help me (Easy) (Will give brainliest)

Answers

Answer:

D

Step-by-step explanation:

To solve this problem, we need to find the greatest common factor of 8, 12, and 16. Let's list out the factors of each number.

8: 1, 2, 4, 8

12: 1, 2, 3, 4, 6, 12

16: 1, 2, 4, 8, 16

We can see that the greatest factor that all three numbers share is 4, so 4 is the GCF.

Which statements are true about the function?

Answers

Answer:

it's -x,2 ur answer about this question

Abbi and her 9 friends want to split up 30 math questions evenly how many Math question each person will solve?

Answers

About 3 math questions each

Solve the equation for C.
-23=—8c

Answers

Answer:

2.9 = c

Step-by-step explanation:

-23 = -8c

/-8      /-8   (-8 cancels)

2.9 = c

What is cos43 equal to

Answers

Answer:

0.73 (rounded to hundredths)

Step-by-step explanation:

cos(43) = 0.73135... = 0.73 rounded to hundredths

It equals 0.555113

Hope this helps!

Education researchers are interested in the workload expectations of freshmen at a local university. Since all of the
freshmen are randomly placed into freshman seminar classes the researchers randomly select 3 freshman seminar
classes and survey all of the students within those classes. Which sampling method was used?

Answers

Answer: cluster sampling

Step-by-step explanation: got it right on edge:)

Answer:

A

Step-by-step explanation:

the area of a Trapezium is 132 cm². Its height is 14 cm the larger parallel side is longer than the other by 16 cm. find the length of the parallel side. Please someone help!!

Answers

1/2 (a+b)h

1/2 (a+16)14=132

8×14=112

14÷2=7

132-112=20

20÷7 =2.857142857

so then a= 2.86 (3sf)

For more questions like that turn it into equation the make a subject of formula

PLEASE ANSWER QUICKLY IN TEST NOW!!! 10 POINTS AND PHONE ABOUT TO DIE!!

In the graph below, what is the constant of proportionality?
a. 0
C. 2
b. 1
d. 3​

Answers

Answer:

c

Step-by-step explanation:

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