Which statements about the system are true?
Select TWO options.

y = 1/3x - 4
Зу - х = -7

A. The system has one solution.

B. The system consists of parallel lines.

C. Both lines have the same slope.

D. Both lines have the same y-intercept.

E. The equations represent the same line.

Answers

Answer 1

2 Answers:

B)  The lines are parallelC)  The lines have the same slope.

Parallel lines always have equal slope, but different y intercepts.

==========================================================

Explanation:

Let's solve the second equation for y

3y - x = -7

3y = -7+x

3y = x-7

y = (x-7)/3

y = x/3 - 7/3

y = (1/3)x - 7/3

The equation is in y = mx+b form with m = 1/3 as the slope and b = -7/3 as the y intercept. We see that the first equation, where y was already isolated, also has a slope of m = 1/3. The two equations of this system have the same slope. Choice C is one of the answers.

However, they don't have the same y intercept. The first equation has y intercept b = -4, while the second has b = -7/3. This means that they do not represent the same line. They need to have identical slopes, and identical y intercepts (though the slope can be different from the y intercept of course) in order to have identical lines. So we can rule out choice D and E because of this.

Because the two equations have the same slope, but different y intercepts, this means the lines are parallel. Choice B is the other answer.

Parallel lines never touch or intersect, which in turn means there is no solution point. A solution point is where the lines cross. We can rule out choice A.

I recommend using your graphing calculator, Desmos, GeoGebra, or any graphing tool (on your computer or online) to graph each equation given. You should see two parallel lines forming. I used GeoGebra to make the graph shown below.

Which Statements About The System Are True?Select TWO Options.y = 1/3x - 4 - = -7A. The System Has One

Related Questions

HELP ME PLS‍♀️‼️
What rational number subset(s) do 2, 5, 7, 9, 13 belong to??

Answers

Answer:

Natural numbers , whole numbers, Integers

Natural number whole number integers

Please Help!!! Need tonight! No fake links or I WILL report you!
In function graphing, if there is no amplitude change (mainly looking for tangent), what do you write? 1?

Answers

Answer:

The period of the tangent function is π because the graph repeats itself on intervals of kπ where k is a constant. If we graph the tangent function on −π2 to π2 , we can see the behavior of the graph on one complete cycle.

The tangent function does not have an amplitude because it has no maximum or minimum value. The period of a tangent function, y=atan(bx) , is the distance between any two consecutive vertical asymptotes..

so its not 1 but 2.

hope its right.

Can someone please explain this question to me?
The image is attached.

Answers

Answer:

13

Step-by-step explanation:

Given the expression;

2 1/3 : 4 1/3 = 7 : x

Wea re to look for x;

Convert to improper fractions;

7/3 : 13/3 = 7:x

7/3 * 3/13 = 7/x

7/13 = 7/x

Cross multiply

7x = 13 * 7

7x = 91

x = 91/7

x = 13

Hence the unknown value is 13

I need help so yea please help

Answers

Answer:

option 3

Step-by-step explanation:

divide the diameter by 2 to get the radius.

pi×r^2

3.14×42^2=5538.96 km^2

Mrs. Murphy by balloons garlands paper lanterns and banners to decorate a school party she got three times as many bags of balloons as paper lanterns seven more garlands than paper lanterns and for banners she paid $5.25 for each banner $6.50 for each paper lantern five dollars for each bag of balloons and $3.50 for each garland how many of each kind of decoration did she purchase if she paid $145.50 please help

Answers

Answer:

Mrs. Murphy bought 4 packages of paper lanterns, 12 bags of balloons, 11

garlands and 4 banners

Step-by-step explanation:

I'm not really sure how I got this but it hope it helps!

Given the following table, what is the quadratic equation?
X
у
1
2
2
5
10
3 4
17
O A 2x2 + 1
o B. x2 + 1
o C. 4x2 + 1
OD. 2x2 + x + 1

Answers

Answer:

Answer B.

x² + 1

Step-by-step explanation:

x=1

Input x= 1 into x²+1 to get y

(1)²+1 = 2

when x=2

(2)²+1 = 5

when x = 3

(3)² + 1 = 10.

when x=4

(4)² + 1 = 17

Hence Option B

the florida gators football team recorded the following yardage in seven plays, 9, -3, -5, 0, 12, 20, and -4, order these from greatest to least

HELP ME REALLY FAST
I WILL MARK BRAINLIEST

Answers

-5, -4, -3, 0, 9, 12, 20. Bam✨

\Six times a larger number is equal to the sum of a smaller number and 18. The difference of twice the larger number and the smaller number is 6. Let x represent the smaller number and y represent the larger number. Which equations represent the situation?
y = 6 x + 18. y = 2 x minus 6.
y = 6 (x + 18). Y = 2 (x minus 6).
y = one-sixth x + 3. y = one-half x + 6.
y = one-sixth x + 3. y = one-half x + 3.

Answers

Answer:

last option:  y = 1/6x+3; y = 1/2x+3

Step-by-step explanation:

6y = x + 18

Solve the above for 'y' to get:

y = 1/6x + 3

2y - x = 6

Solve the above for 'y' to get:

2y = x + 6

y = 1/2x + 3

4. My son's age is of my wife's age, my wife's age is of my age, and my age is of my father's age. Find
age of my son, if my father is 50 years old

Answers

Answer:

50?

Step-by-step explanation:

Answer:

The age of son is 50.THANK YOU.

Answer the statistical measures and create a box and whiskers plot for the following set of data.
1, 1, 6, 10, 12, 13, 13, 14, 16, 19
Min:
Q1:
Med:
Q3:
Max:

Answers

Answer:

min 1

Q1 = 6

med = 12.5

Q3 = 14

Max = 19

Step-by-step explanation:

Min simply refers to the smallest value and that is 1

Q1 is the first quartile and the formula is;

Q1 = (n+ 1)/4

where n is the number of terms which is 10

Q1 = (10 + 1)/4 = 2.75

This is approximately 3 and the 3rd term is 6

med is the median value and that is 12 + 13 = 25/2 = 12.5

Q3 is the third quartile

Q3 = 3(n+ 1)/4 = 8.25 and that is the 8th term which is 14

Max is simply the highest in value and that is 19

what is the y intercept of this quadratic function

Answers

Answer:

the y-int is at the point (0,3)

Step-by-step explanation:

Answer:

(0,3)

Step-by-step explanation:

f(x)=x²+2x+3

x=0

f(0)=0²+2×0+3

f(0)=3

y=3

(0,3)

What is the area of the kite?

Answers

Answer:

1.125 ft²

Step-by-step explanation:

Take the height and the diagonals, multiply, and then divide by 2

the area is 1. 125ft

Which of these is a simplified form of the equation 7x + 4 = 5 + 3x + 1x?
I really need the step by step so I know how to this. Thank y'all soo much <3

Answers

Add 3x + 1x which is 4x . so the equation is no 7x+4=5 + 4x now do inverse operation bring variable to one side . 7x-4x
3x + 4= 5
- 4. -4
3x = 1
_____
3. 3

X= 1/3

Caitlyn recorded the height of each plant after she exposed each plant to a set amount of darkness daily. The scatterplot shows her results after 2 weeks of exposing each plant to the amount of darkness.

A graph titled Plant Growth has hours of darkness on the x-axis, and height of plant (inches) on the y-axis. Points are grouped closely together and decrease. Point (17, 12) is above the cluster.

Which statement about the scatterplot is true?
The point (17, 12) could cause the description of the data set to be overstated.
The point (17, 12) could cause the description of the data set to be understated.
The point (17, 12) shows that there is no relationship between the number of hours of darkness and the height of the plant.
Although (17, 12) is an extreme value, it should be part of the description of the relationship bet

Answers

Answer:

B. The point (17, 12) could cause the description of the data set to be understated.

Step-by-step explanation:

All other points on the scatter plot except point (17, 12), all follow a similar trend showing the negative relation between height of plants and darkness. If we are to consider just point (17, 12) alone when describing the data set, we might likely understate the relation between both variables.

Therefore, the statement that is true about the scatter plot is "B. The point (17, 12) could cause the description of the data set to be understated."

Answer:

hello love! your answer is B :)

Step-by-step explanation:

i got a 100%


Find the area of a circle with radius,
r
= 40cm.
Give your answer rounded to 3 SF

Answers

Area of circle = pi x r^2
= 22/7 x 40^2
= 5028.57
= 5030cm^2 (3 SF)

PLEASE HELP ASAP!!!!!

Answers

48 ! it says there 76 enrolled in english but there are 28 who took both so just subtract 76 - 28

The local water slides have 72
employees, of which 25% are
temporary. How many
temporary employees are
there?

Answers

18. 72x0.25=18 there are 18 temporary employees

Answer:

18

Step-by-step explanation:

Step 1: Convert 25% to a fraction

[tex]\frac{25}{100}[/tex]

Simplify

[tex]\frac{1}{4}[/tex]

Step 2: Convert 72 to a fraction

[tex]72 = \frac{72}{1}[/tex]

Step 3: Set it up

[tex]\frac{1}{4}\times \frac{72}{1}[/tex]

Step 4: Cross divide

[tex]72 \div 4 = 18[/tex]

[tex]1 \div 1 = 1[/tex]

[tex]\frac{18}{1} = 18[/tex]

Therefore, the are 18 temporary employees in the local water slides.

hello please help i’ll give brainliest

Answers

Answer:

it will decrease

Step-by-step explanation:

if theres not enough food water, ect for all 55 to survive and only enough to support 40 wolves they will die down

Answer:

It will decrease

Step-by-step explanation:

There are 55 wolves means the wolf population will decrease as the place have only sufficient resources to 40 wolves and will eventually die.

I think this is the answer.

Evaluate plzzz help am giving brainliest

Answers

Answer:

-4a/-8 +-12a

Step-by-step explanation:

I'm assuming its just asking you to put it down and now solve it so, I plugged in the top to the bottom, and multiplied it all; getting ^, if its asking for a more simplified answer it would be a/2 + 12a ... I think

Marge purchased x bicycle helmets and y tire pumps. Each helmet cost $12.00 and each pump cost $8.00. She purchased a total of 18 items and spent $176.00. How many helmets did Marge buy?

Answers

X=8 helmets
Y=10 pumps

Answer:

8 x 12 = 96    10 x 8 = 80   96 + 80 = 176 so the answer is 8 helmets and 10 pumps

Step-by-step explanation:

A movie theater sells small and large boxes of popcorn. A small box of popcorn costs $1.50. A large box of popcorn costs $4.00. A total of 25 boxes of popcorn were sold totaling $75.00.

Answers

15 large boxes of popcorn and 10 small boxes of popcorn. 15 x 4= 60. 10 x 1.50 = 15 60 + 15 = 75

Please help!!! I’ll give you the Brainly mark

Answers

Answer:

4

Step-by-step explanation:

just look at the graph and find where y is -5 the correlating point is 4

Solve this for pleaseee

Answers

8x + 7 + 2x + 23 = 180
10x + 30 = 180
10x = 150
x = 15

The given circle has radius r = 22. If \thetaθ = 141 degrees, what is the area of sector L?

Answers

Answer:

[tex]595.54[/tex]

Step-by-step explanation:

The formula for a sector of a circle with angle [tex]\theta[/tex] is [tex]\frac{\theta}{360}\cdot r^2\pi[/tex].

Substituting given values, we have:

[tex]\frac{141}{360}\cdot 22^2\pi\approx \boxed{595.54}[/tex]

You and your friends go to the state fair. It costs $6 to get into the fair
and $2 each time you go on a ride. Consider the relationship between
number of rides and total cost.

Model the equation to show the linear relationship.

Answers

Answer:

[tex]let \: number \: of \: rides \: be \: \: n \\ let \: cost \: be \: \: c \\ n \: \alpha \: c \\ n = kc \\ k \: is \: a \: costant \: of \: proportionality \\ when \: n = 1. \: \: c = 2 \\ 1 = (k \times 2) \\ k = \frac{1}{2} \\ therefore : \\ n = 0.5c[/tex]

Answer:

[tex]\huge\boxed{\sf x = 6 + 2y}[/tex]

Step-by-step explanation:

Let the total cost be x and number of rides be y

It costs $2 on each ride. So, the rides' cost will be:

=> Number of rides * One rides' cost

=> y * 2

=> 2 y

So, The total cost will be:

Total cost = Entrance cost + Rides' cost

Total cost = $6 + $2(Number of rides)

x = 6 + 2y

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

hii i’ll give brainliest please help thanks :)

Answers

Answer:

A.) .75

Step-by-step explanation:

So the upper quartile is basically just the median of the bottom half. So we take the bottom half of the numbers:

0.5, 0.5, 0.75, 0.75, 1, 1, 1  

And the median of the is 0.75

So the lower quartile is .75

hope this helps:)

The answer is .75
0.75 is the median and .75is the lower quartile

In the polynomial function below, what is the leading coefficient? F(x) = 1/4x⁵+8x-5x⁴-19
A. -5
B. -19
C. 2
D. 1/4
E. 8​

Answers

Answer:

Leading coefficient is the coefficient of the highest power of x.

[tex]x^5[/tex] is the highest power.

Therefore, leading coefficient = [tex]\frac{1}{4}[/tex]

Option D

Answer:1/4

Step-by-step explanation:

A simple impact crater on the moon has a diameter of 15 kilometers. A complex impact crater has
a radius of 30 kilometers. How much greater is the circumference of the complex impact crater than
the simple impact craters?

Answers

Answer:

141.3 km

Step-by-step explanation:

First crater has the radius (that is, half the diameter) of 7.5 km; the circumference of this crater is C = 2(pi)r, or 2(3.14)(7.5 km) = 47.1 km;

Second crater radius is C = 2(pi)(30 km) = 188.4 km

The circumference of the complex (larger) impact crater is

(188.4 - 47.1) km greater than the circumference of the simple (smaller) crater:

141.3 km


please help me guysss


Answers

u could ask your teacher for help but i really dk

umm please help me it is confusing

Answers

Answer: x = 24 & x = 96

Step-by-step explanation:

Answer: Every option given is a solution

Any value larger than 18 is a solution. So we can say x > 18.

============================================================

Explanation:

To isolate x, we multiply both sides by 6 like so

3 < x/6

3*6 < x

18 < x

x > 18

In the last step, I swapped the left and right sides. This swap meant that I had to flip the inequality sign as well. Saying x > 18 means we can pick anything larger than 18 to have it as a solution. Something like x = 5 is too small, but values like x = 24 and x = 96 will work. In fact, all of the answer choices given are larger than 18. So you'll check each answer box.

---------

As a way to confirm a potential answer, we plug it back into the original inequality. Let's say we wanted to check x = 90

So,

3 < x/6

3 < 90/6 ... replace every x with 90

3 < 15

The last inequality is true, because 3 is indeed smaller than 15. Therefore, the original inequality is true when x = 90. We confirm that x = 90 is a solution.

The steps to confirm x = 114, x = 96, and x = 24 will follow the same idea. I'll let you do those confirmations.

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