Mathematics High School

A system of equations is shown below.
y = 1.5x - 3
y = 1.5x + 4

Which statement is true about the system
A the system has no solution
B the solution has infinitely many soulutions
C the system has exactly one solution and it’s (0,-3)
D the system has exactly one solution and it’s (6,4)

Answers

Answer 1

Given:

The system of equations is

[tex]y=1.5x-3[/tex]

[tex]y=1.5x+4[/tex]

To find:

The true statement about the given system of equations.

Solution:

The slope intercept form of a line is

[tex]y=mx+b[/tex]

Where, m is the slope and b is the y-intercept.

We have,

[tex]y=1.5x-3[/tex]

[tex]y=1.5x+4[/tex]

On comparing these two lines with slope intercept form, we get

[tex]m_1=1.5,b_1=-3[/tex]

[tex]m_2=1.5,b_2=4[/tex]

Since the slopes of the lines are equal but the y-intercepts are different, therefore, the two lines are parallel and the system has no solution.

Therefore, the correct option is A.

Related Questions

camila drew a triangle with a side that is 24 inches long and a side that is 18 inches long. which of the following could be the length of the third side of a triangle that camila drew?

Answers

Formula: a^2+b^2=c^2
Plug in: 24^2+18^2=c^2
Exponents: 576+324=c^2
Add: 900=c^2
Square root: c=30
So the answer is 30 inches

** I’LL GIVE YOU BRAINLYLIST PLEASE ANSWER **

Answers

The y intercept should be 500 because it is a one time payment that does not need to be repeatedly payed for like the 250. The 250 isn’t the y intercept because it is the slope of the line. Hope this helps. I’m not sure what your drop down menu supplies though

Erick and Mia live the same distance from the park and decide to meet at the park one afternoon. The graphs show their distances from home over the same 30-minute period as they walked to the park. Each section of each graph represents 10 minutes.

Which statements are true ?
Choose all that apply.
Explain your answer.

A. Mia Returned to her house after 10 minutes.

B. Mia left her house 10 minutes before Erick left his house.

C. it took erick only 10 minutes to walk to the park.

D. Erick and Mia arrived at the park at the same time.

E. Erick walked the same distances as Mia during the last 10 minutes

Answers

Answer:

please continue i'm facinated on were this story goes

Step-by-step explanation:

From the graph, the correct options are given as,
B. Mia left her house 10 minutes before Erick left his house.
D. Erick and Mia arrived at the park at the same time.
E. Erick walked the same distances as Mia during the last 10 minutes.

What is a graph?

The graph is a demonstration of curves that gives the relationship between the x and y-axis.

Here,
The graphs show their distances from home over the same 30-minute period as they walked to the park.
From the graph,
It can be concluded that,
Both reach the park at the same time, as the termination point of the curve is the same.
The graph of mia starts after 10 minutes Erick, which implies Mia left her house 10 minutes before Erick left his house. And Erick walked the same distances as Mia during the last 10 minutes as the slope of the last segment of both curves is the same.

Learn more about graphs here:

brainly.com/question/16608196

#SPJ2

determine the solution to the equation.

Answers

answer : x = 25

5 x=32−7
5 x = 25
25x = 625
x=625/25
x=25

good luckkk

WHAT DOES N = HELP ITS DUE IN 10 MINUTES

Answers

Answer:-7

Step-by-step explanation:

Answer:

N = -7

Step-by-step explanation:

16 - 9 = -7

Find the missing side round to the nearest tenth

Answers

22.8 I’m pretty sure

What is 8.04 x -7.39

Answers

Answer:

-59.4156

Step-by-step explanation:

find the value of x in the angle

Answers

Answer:

The answer would be B

Step-by-step explanation:

Since the value of all angles within a triangle must equal 180 degrees, if you know at least two angles, you can subtract them from 180 to find the missing third angle. If you are working with equilateral triangles, divide 180 by three to find the value of X.

calculate the value of (-18) (-3)

Answers

The answer to this is 54. Hope this helps

Answer:

54

Step-by-step explanation:

You do -18 times -3 which is equal to 54. It is positive because in multiplication and division if you multiply a negative times a negative or divide a negative divided by a negative it will equal a positive.

Hope this helps!

Two numbers have a sum of 12 and a difference of 4. What is the smaller of the two numbers?

Answers

Answer: 8 and 4 hehe

pleaze help me on the first 2

Answers

Answer:

1) 6:9 (9 cups of flour)

2) y = 11

Step-by-step explanation:

i did the math :)

Answer:9 cups of flour and y=11

Step-by-step explanation:

ez

PLZZ HELP bubba biked 19 kilometers how far did he bike in miles? A mile is approximately 1.6 kilometers Round to the nearest tenth

Answers

11.8 miles............

Answer:

11.9 miles

Step-by-step explanation:

1.6 kilometers = 1 mile

19 kilometers = 1/1.6 * 19 miles

= 11.875 miles

Help pls with this trigonometry question

Answers

Hope this helps. Please make me brainliest.

I NEED HELP WITH THIS!!!!

Answers

Answer:

-6r+6

Step-by-step explanation:

1) Remove parentheses

8-6r-2

2) Collect like terms

-6r+(8-2)

3) Simplify

-6r+6

Matthew has already baked 7 cakes, and he can bake 1 cake with each additional stick of
butter he buys. How many additional sticks of butter does Matthew need in order to bake a
total of 31 cakes?

Answers

Answer:

24

Step-by-step explanation:

can you try to solve this plz

Answers

Answer:

50 dgrees

Step-by-step explanation:

staruight line is 180 so 180 minus 130 is 50

A farm raises pigs and chickens. The farmer has a total of 102 animals. One day he counts the legs of all his animals and realizes he has a total of 298 legs. How many chickens does the farmer have

Answers

Answer:

47 pigs and 55 chickens

Step-by-step explanation:

b-4c
B= - 3
C= 6
Help!​

Answers

Answer:

-27

Step-by-step explanation:

B - 4C

-3 - 4(6)

-3 - 24

 -27

Write an equation of the line that passes through the point (-12, 6) and is parallel to the graph of the equation y=-1/6x + 1. Explain your reasoning.

Answers

Answer:

y=-1/6x+4

Step-by-step explanation:

In order to pass that point, you have to move the line up 4 points. So you make the 1 at the end to 4.

-3n + 4 + 8n = 79 =

4n + 18 = 38 =

Answers

Answer:

1.n=15

2.n=5

Step-by-step explanation:

1.)N=15 2.)N=5 hope this helped !!

4. Is the binomial that represents the length of the fish tank a factor of the polynomial that
represents the volume of the fish tank after the hemispheres are installed? Support your answer
mathematically.

Answers

Answer:

Step-by-step explanation:

(8x^3-440x^2+7200x-36000)-(x^3-70+360x-1800)^2

SOMEONE PLEASE HELP ME WITH THIS ILL GIVE YOU BRAINLY IF U GET IT RIGHT !!!!

Answers

It will not be filled until 2 pm because the pool is filling up at a rate of 600gal every 15 min.
600x20=12,000 gal at 12 pm
600x28=16,800 gal at 2pm
How I got the time was there are 60 minutes in an hour divide that by 15 equals 4. And there is 5 hours between 8-12 so 5x4=20

0) Select all ordered pairs that correspond to input-output pairs of the function y = -8x + 4.
A. (2, -12)
B.
(7, -52)
C.
(-8, 4)
D.
(3, -20)

Answers

A, B, and D are the correct answers.

HELP PLSSS 20 POINTS!!! ASAP

Answers

Answer:

60

Step-by-step explanation:

did this before so easy

Answer:

60

Step-by-step explanation:

What is 6 divided by 1/8?

Answers

Answer:

48

Step-by-step explanation:

Answer:

48   because i divided it

would it make more sense to buy two 10 inch pizzas or one 20 inch pizza? Explain your answer in detail.

Answers

I think buying two 10 inch pizzas would make more sense because you can get different topping on each. For example where I live a 10 inch pizza is 5 dollars and a 20 inch pizza is 18 dollars so 2 10 inch pizzas would cost less as well.


Hope this helps! :)

Answer:

one 20 inch pizza

Step-by-step explanation:

radius of one 10 inch pizza is 10/2 = 5

so area of one 10 inch pizza : [tex]\pi[/tex]× [tex]5^{2}[/tex] = 25 [tex]\pi[/tex]

there are 2 ; 10 inch pizza so 25 [tex]\pi[/tex]⇒[tex]50\pi[/tex]

however 20 inch pizza radius is 10

so

[tex]10^{2}[/tex]×[tex]\pi[/tex] = 100[tex]\pi[/tex]

please help me with thisssss!!!!!!

Answers

Its either 2/5 or 4/5

Answer: The answer is 2/5  hope i helped! Mabye brainliest? ^^

Step-by-step explanation: if you can pick more than 1, pick 2/5 and 4/5

Manuel buys 2 shirts at $24 each as well as one pair of pants for $35. He has a coupon for 30% off the shirts. What is the total price he will pay if there is 6% tax?

$58.10

$61.59

$72.72

$87.98

Answers

Answer:

Answer is a

Step-by-step explanation:

What is the measure of angle R?

Answers

Answer:

65

Step-by-step explanation:

The inside of a triangle is 180 degrees and the other two angles are the same so 50+65+65 =180. The answer is 65

Which expression is equivalent to

Answers

Answer:

[tex]\frac{3}{2} x[/tex] - 2

Step-by-step explanation:

1/2 (2+ 3x -6)

1/2(3x-4)

3/2x - 2

You do the parentheses first because of PEDMAS.  So 1 combined the 2 and the -6.

Answer:

The first answer (3/2x - 5)

Step-by-step explanation:

You need to multiply 1/2 by 2 which gives you 1.  then when you multiply 1/2 by 3, you can't make it a whole number, so you make it a fraction and it then becomes 3/2x.  Lastly, you do 1/2 times -6 which gives you -3.  The equation goes from 1/2(2+3x-6) to then 1+3/2x-3.  Since 1 and 3 can be subtracted because they're both whole numbers, you do 1-6 which gives you -5.  The answer then becomes 3/2x -5

Hope this helped

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