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

Can someone help me with this??

Answers

It would be a=3 b=3 c=5

Answer:

the second option, a=3 b=3 c=5

Step-by-step explanation:

first I would change them both into an improper fraction:

9/2 divided by 5/4

dividing is the same thing as mulitiplying by the reciprocal of the second number. so you would mulitply 9/2 x 4/5 = 36/10 and then you simplify back to a mixed number 3 6/10, 6/10 can be reduced so the final answer is 3 3/5.

pls help im new so pls can u help me

Factorise
x^2+18x+80

Answers

Answer:

(x + 10)(x + 8)

Step-by-step explanation:

Given

x² + 18x + 80

Consider the factors of the constant term (+ 80) which sum to give the coefficient of the x- term (+ 18)

The factors are + 10 and + 8 , since

10 × 8 = + 80 and 10 + 8 = + 18 , then

x² + 18x + 80 = (x + 10)(x + 8) ← in factored form

Patricia is 5 years older than Wyatt. The sum of their ages is 61. How old are Patricia and Wyatt?
(A) First write an equation you can use to answer this question. Use x as your variable.
The equation is_________

Answers

Answer

w+(w+5)=61

Step-by-step explanation:

Answer:

an answer could be Patricia is 33 and wyatt is 28 so x=33

Step-by-step explanation:

Parallelogram ABCD has vertices A(-2, -52), B(-4, -52),
C-3, -2), and D(-1,-2). Find the vertices of
parallelogram A'B'CD after a translation of 2 units down.​

Answers

Answer:

Step-by-step explanation:

Veronica cut a triangular piece of cookie cake with side lengths that measure 3.6 cm, 6 cm and 4.8cm.



Did Veronica cut out a right triangle?

Answers

Answer:3.6 + 4.8 > 6

Step-by-step explanation:

The answer is YES, the triangle that is cut down by Veronica is a right triangle.

What is a triangle?

The basic polygonal shape of a triangle has three sides & three interior angles. This is one of the fundamental shapes in geometry and is particularly associated. It has three connected vertices. Triangles can be divided into a variety of categories according to their sides and angles.

As per the given information in the question,

The lengths of the sides of the triangle are given as,

Let Base, b = 3.6 cm

Perpendicular, p = 4.8 cm

Hypotenuse, h = 6 cm

Now, use the equation of Pythagoras' theorem,

h² = p² + b²

6² = 4.8² + 3.6²

36 = 23.04 + 12.96

36 = 36

It satisfies Pythagoras' theorem, which means that it is a right triangle.

To know more about Triangle:

https://brainly.com/question/2773823

#SPJ2

What is the y-intercept of the line represented by -2x + 3y = 12?
F -4
H 4
G 1/4
J 12

Answers

Answer:

The graph of 2x + 3y = 12 crosses the x-axis at (6, 0), so its x-intercept is 6. The graph of 2x + 3y = 12 crosses the y-axis at (0, 4), so its y-intercept is 4.

Step-by-step explanation:

The graph of 2x + 3y = 12 crosses the x-axis at (6, 0), so its x-intercept is 6. The graph of 2x + 3y = 12 crosses the y-axis at (0, 4), so its y-intercept is 4.

Denise makes three times as many chocolate cupcakes as vanilla. She makes three dozen strawberry cupcakes. Total cupcakes are 132, how many are chocolate?

Answers

Answer:

55

Step-by-step explanation:

please help!!! Im very confused, giving brainleist

Answers

Answer:

For the boys box, the answer is 8.

For the Girls top box the answer is 18.

Step-by-step explanation:

81/ 72=1.125

9/ 8=1.125

18/16=1.125

Hope this helps! :)

Two of the following numbers add up to seventeen. 6 - 13 - 2 - 12 - 7 - 14
FALSE
TRUE

Answers

Answer:

false

Step-by-step explanation:

i tried everything

Graph the line that passes through the points (1,-9) and (1,-3) and determine the equation of the line

Answers

Answer:

x = 1

Step-by-step explanation:

Note that the x-coordinates of the two given points are identical.  This tells us immediately that the line is a vertical one whose slope is undefined.

The equation of this line is x = 1.

GIVING BRAINLIEST!! PLZ HELP ME I HAVE TO FINISH BY SIX O CLOCK!!
This is number 155. Look at the picture below!

Answers

1/2 = 18 cut
Cut= 1/36
So if victor rides for time t+ 1/36
Alex rides for t
D= 18 (t + 1/36) = 24 t
18 t+ 18/36 = 24 t
6 t = 1/2
T = 1/12 hour = 5 minutes

HELP I NEED HELP ASAP

Answers

Answer:

D

Step-by-step explanation:

6x^2 + 10x^2 = 16x^2

2x-x = x

-8 + 14 = 6

16x^2 + x + 6

Who does Plato for money ?

Answers

Answer:

what are you talking about the picture is not there

Step-by-step explanation:

Answer:

i ate plato for money if thats what your asking

Step-by-step explanation:

A parabola has x-intercepts of (2, 0) and (-4, 0) and has a leading coefficient of 1. What is the equation of the parabola in standard form? *

Answers

9514 1404 393

Answer:

  y = x^2 +2x -8

Step-by-step explanation:

For x-intercepts p and q, factors of the parabola's equation are (x-p) and (x-q). Since the leading coefficient is 1, those are the only factors.

  y = (x -2)(x -(-4))

  y = (x -2)(x +4) = x(x +4) -2(x +4) . . . . use the distributive property

  y = x^2 +4x -2x -8 . . . . use the distributive property again

  y = x^2 +2x -8 . . . . . . . .equation in standard form

Find the equation of the line use exact numbers
Y= ?x + ?
Fill in the ? Please I need help ASAP

Answers

Answer:

y=-2x+5

Step-by-step explanation:

y=mx+b
m=-2 (slope)
b= 5 (y-int)
y=-2x+5

pls help me this was due a long time ago ❤️

Answers

Answer:

The second option

The sum of two number is 65 and their difference is 5.Set up and solve a system of equations to find the two number.Show work

Answers

Answer:

it 60

Step-by-step explanation:

60

If the diameter of a tree trunk is growing 1/4 inch each year how many years will it take for the diameter to grow 8 inches

Answers

i’m pretty sure it’s 32 years
to get to a full inch you need 4 quarters, and since it grows one quarter a year you need to times eight by four which is 32

I will give brainiest to whoever answers right PLEASE

Answers

Answer: questions aren't clear

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. D

2.B

3.B

4.C

5.D

6.A

A group of friends wants to go to the amusement park. They have $80 to spend on
parking and admission. Parking is $5, and tickets cost $18.75 per person, including
tax. Write and solve an equation which can be used to determine x, the number of
people who can go to the amusement park.
Equation:
DOLL

Answers

Answer:

4 people can go

Step-by-step explanation:

Answer:

Equation:  18.75x+5=80

Answer : x= 4

Answer below........

Answers

ans: 70 ...( it is by ; 180-110) because of straight angle= 180...........

What is the slope of the line?help pls

Answers

Answer:

1

Step-by-step explanation:

Solve:
-1/4a - 4 = 4

Answers

The answer would be a=-32

Answer:

a = -12

Step-by-step explanation:

-1/4a - 4 = 4

(-1/4a / -1/4) - 4 = (4 / -1/4)

a - 4 = -16

(a - 4 + 4) = -16 + 4

a = -12

I might have made some mistake but if my memory is right this is how you solve it.

25POINTS HELP!!!!!!!!!!!

Answers

If B is 2/5 like I think it is that is the answer because the probability that someone sits in the middle row is 12/30 which is simplified to 2/5

Amanda plans on going to the amusement park this Friday. It costs $25.00 to
enter the park, and then $1.25 for every ride that Amanda goes on. What will be
the total cost if Amanda goes on 9 rides?

Answers

Answer:

$36.25

Step-by-step explanation:

To enter the park, Amanda pays 25 dollars.

+$25

It costs 1.25 for every ride that Amanda goes on.

Since we don't know the number of rides Amanda goes on, we will add a variable to represent the number of rides.

1.25x

Then, the passage says that Amanda goes on 9 rides. So, substitute 9 for x.

Equation: 25+1.25(9)

Then solve:

$36.25

Continue the pattern by filling in the next 3 terms
-5, -2, 1,

Answers

Answer:

4, 7, 10

Step-by-step explanation:

There is a common difference d between consecutive terms, that is

d = - 2 - (- 5) = 1 - (- 2) = 3

To obtain a term in the sequence add d = 3 to the previous term, then

a₄ = a₃ + 3 = 1 + 3 = 4

a₅ = a₄ + 3 = 4 + 3 = 7

a₆ = a₅ + 3 = 7 + 3 = 10

Did I put the letters in the right places?

Answers

Answer:

Yes u did thats what i did too XD

What is the area of the circle? *
10 ft
31.4 square feet
78.5 square feet
314 square feet
15.7 square feetT

Answers

Answer:

The answer is 314.159 which can be rounded to 314.

I need help please please

Answers

Answer:

the right answer is three ok your welcome

Answer:

It is option 4

You prepare to place an order for your workplace. You have a 30% off coupon. If your order costs $2630.00 without the coupon discount, what is the cost (before taxes) when you use your coupon?

Answers

Answer:

$1841.00

Step-by-step explanation:

2630.00 x .30 = 789.00

2630.00 - 789.00 = 1841.00

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