Heather writes the equations below to represent two lines drawn on the coordinate plane.

–6x + 18y = 0
4x – 12y = 20
After applying the linear combination method, Heather arrived at the equation 0 = 60. What conclusion can be drawn about the system of equations?

The equation has no solution; therefore, the system of equations has no solution.
The equation has a solution at (0, 60); therefore, the system of equations has a solution at (0, 60).
The equation has infinite solutions; therefore, the system of equation as infinite solutions.
The equation has a solution at (0, 0); therefore, the system of equations has a solution at (0, 0).

Answers

Answer 1
According to the represented datum, the correct answer is : equation has no solution; therefore, the system of equations has no solution because it is imposible  when girl should rich  0 = 60. 
I am pretty sure it helps! Do hope you will agree with me.
Answer 2

Answer:

its A if you are taking the unit test

Step-by-step explanation:


Related Questions

Work for 8554 divided by 94

Answers

Your answer would have to be 91 :)

(open picture for the explanation)

A company manufacturers and sells x electric drills per month. The monthly cost and price-demand equations are
C(x)=64000+60x, p=190−x/30, 0≤x≤5000.

a) production level at max revenue = 2850
b) price to max profit = $125
c) Suppose that a 5 dollar per drill tax is imposed. Determine the number of drills that should be produced and sold in order to maximize profit under these new circumstances. ???

Answers

A.
Revenue x * p = 220x - x^2/30

d/dx = 220 * 15 = 3300

B.
Profit = Revenue - Cost

= 220x - x^2/30 - 72000 - 80x

d/dx = 220 - x/15 - 80 = 0

x = 15 * 140 = 2100

p = 220 - 2100/30 = 220 - 70 = $150

C.
With $5 tax the price-demand equation should be

p = 220 - x/30 + 5

Profit = 225x - x^2/30 - 72000 - 80x

d/dx = 225 - x/15 - 80 = 0

x = 15 * 145 = 2175

A cylinder is sliced by a plane that is not parallel to the base and intersects only the lateral surface. The resulting cross section is
A.circle
B.parabola
C.ellipse
D.hyperbola

Answers

Answer:

c. Ellipse

Step-by-step explanation:

Answer:

option (c)

Step-by-step explanation:

It is an ellipse.

Option (c) is correct .

circumference of a circle with a radius of 5 inches

Answers

Circumference of a circle with a radius of 5 inches is 31.42 in.
You can express that by writing C ≈ 31.42 in.
I hope you find this answer the most helpful.

Answer is provided in the image attached.

For f(x) = 2x + 1 and g(x) = x2 – 7, find (f + g)(x).

A. x2 + 2x – 6
B. 2x3 – 6
C. x2 + 2x + 8
D. 2x2 – 15

Answers

I hope this helps you



(f+g)(x)=2x+1+x^2-7



(f+g)(z)=x^2+2x-6

Two similar polygons have areas of 50 and 100 sq. in. Find the ratio of the length of a pair of corresponding sides.

Answers

In the case that you presented, the ratio is

50/100 = (x1)^2 / (x2)^2
1/2 = (x1)^2 / (x2)^2

x1 : x2 = 1 : √2

^2 means squared

Answer:

the answer is square root 2/ 2

Step-by-step explanation:

Calculate the length of the circumference of a circle with a diameter of 7 cm

Answers

C = 21.98 cm......... 

An equation for this problem- The cable company charges a monthly fee of $45. Each movie rental is $1.99. You owe $68.88/ How many movies did you rent?

Answers

Answer:

12 movies

Step-by-step explanation:

If you have to pay 1.99 per movie and that is our unknown, we can express that as 1.99x, where x is the number of movies (our independent variable).  If you rent 0 movies, you still have to pay the company $45.  So the equation for the number of movies you rent:

y = 1.99x  + 45 where y is the total cost of your cable for that month.  We know the cost for a certain month was 68.88 so our equation becomes

68.88 = 1.99x = 45 and

23.88 = 1.99x so

x = 12 movies

Final answer:

To calculate the number of movies you rented, first subtract the monthly fee of $45 from the total amount owed of $68.88, which leaves $23.88 for movie rentals. Since each movie costs $1.99, divide $23.88 by $1.99 to get approximately 12 movies rented.

Explanation:

The subject of this question is a simple algebraic problem involving a basic equation. To find out how many movies were rented, we first need to understand what charges make up the total charge of $68.88. Given that the cable company charges a monthly fee of $45 and each movie rental costs $1.99, we know that the total charge of $68.88 includes both the monthly fee and the cost of movie rentals.

To find out how many movies were rented, we subtract the monthly fee from the total owed: $68.88 - $45 = $23.88. This is the total cost for movie rentals. Since each movie costs $1.99, we divide the total cost of rentals by the cost per movie: $23.88 / $1.99. The answer is about 12, "so you rented approximately 12 movies".

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What is 2x + 11y when x = 4 and y = 2?

A. 30

B. 38

C. 48

D. 136

Answers

The correct answer is A
The right answer is A

the rainfalls 2 years ago was 10.2 inches.last year total was 20 percent greater. what was last years rainfalls total

Answers

It would be: 10.2 + 10.2 * 0.20
= 10.2 + 2.04 = 12.24

So, your final answer is 12.24

Hope this helps!



A train needs 4 hours to go from the first station to the second. If the third station is 120 miles away and the total travel time must be no more than 7 hours, write an inequality that would let you find the slowest average speed, v, the train could have.

Answers

the answer is 

v= D/T, T <=7-4=3
so T=D/v

3>=120/v implies v>=120/3=40mph
 finally v>=40mph

Solve the inequality. 2>8−43h

Answers

Final answer:

To solve the inequality 2 > 8 - 43h, subtract 8 from both sides and divide by -43, then flip the inequality sign. The solution is h > 6/43.

Explanation:

To solve the inequality 2 > 8 - 43h, we need to isolate the variable h. Let's start by subtracting 8 from both sides:

2 - 8 > 8 - 8 - 43h

-6 > -43h

Next, we divide both sides of the inequality by -43, but since we are dividing by a negative number, the inequality sign flips:

-6/-43 < -43h/-43

Simplifying the expression:

6/43 < h

The solution to the inequality is h > 6/43.

A new drug has been found to be effective in treating 75% of the people afflicted by a certain disease. If the drug is administered to 400 people who have this disease, what are the mean and the standard deviation of the number of people for whom the drug can be expected to be effective? (Round your standard deviation to two decimal places.)

Answers

Answer:

The mean is 300 and the standard deviation is 8.67.

Step-by-step explanation:

It has been given that the drug has been found to be effective in treating 75% of the people afflicted by a certain disease.

Therefore, probability of success is given by p = 0.75

Now, total number of people affecting from the disease, n = 400

We know the formula for mean, which is given by

[tex]\mu=np\\\mu=400\times 0.75\\\mu=300[/tex]

And the standard deviation is

[tex]\sigma=\sqrt{np(1-p)}\\\sigma=\sqrt{400\cdot0.75(1-0.75)}\\\sigma=8.67[/tex]

Therefore, the mean is 300 and the standard deviation is 8.67.

Is each line parallel, perpendicular, or neither parallel nor perpendicular to the line −x+4y=20?

y=−4x−3
y=−14x+6
−x+4y=8
4x+y=−1

Answers

find the slopes of each
for
ax+by=c
slope=-a/b

for y=mx+b
m=slope

the slopes of paralell lines are equal
the slopes of perpendicular lines, when multiplied together, yeild -1

so
-1x+4y=20
sloope=-(-1)/4=1/4

check each

y=-4x-3
-4 times 1/4=-1
perpendicular

y=-1/4x+6
-1/4 and 1/4
neither

-1x+4y=8
-(-1)/4=1/4
1/4=1/4
paralell

4x+1y=-1
-4/1=-4
-4 times 1/4=-1
perpendicular




y=−4x−3: perpendicular
y=−14x+6: neither
−x+4y=8: paralell
4x+y=−1: perpendicular
Final answer:

Lines with equations y=−4x−3 and 4x+y=−1 are neither parallel nor perpendicular to the line −x+4y=20. The line y=−14x+6 is also neither parallel nor perpendicular to the given line. The line −x+4y=8 is parallel to the given line.

Explanation:

To determine whether lines are parallel, perpendicular, or neither to the given line −x+4y=20, we'll need to look at their slopes. If the slopes are the same, the lines are parallel. If the product of the slopes is -1, the lines are perpendicular.

First, we should rewrite the given equation in y = mx + b format to identify the slope. The equation becomes y = 1/4x + 5. The slope for the given line is 1/4.

The first equation, y=−4x−3, has a slope of -4. This is neither equal to 1/4 nor its negative reciprocal, so the line is neither parallel nor perpendicular. The second equation, y=−14x+6, has a slope of -14. This is not equal to 1/4 or a negative reciprocal of 1/4, so this line is also neither parallel nor perpendicular. The third equation, −x+4y=8, can be rewritten as y = 1/4x + 2, which shares a slope with the given line and is therefore parallel. The last equation, 4x+y=−1, can be rewritten as y = -4x - 1, also has a slope of -4, thus it is neither parallel nor perpendicular to the given line.

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PLEASE HELP ASAP
A construction crew is lengthening a road. The road started with a length of 57 miles, and the crew is adding 4 miles to the road each day. Let L represent the total length of the road (in miles), and let D represent the number of days the crew has worked. Write an equation relating L to D . Then use this equation to find the total length of the road after the crew has worked 38 days.
Equation:
total length of the road after 38 days: Miles

Answers

53+ 3(38) = L 

so L= 167

i hope thats right!!

"Compounding frequency" refers to:

Answers

The number of times that interest is calculated on a loan or other fixed-return investment in a given year. The higher the frequency of compounding, the greater return one will mak on the loan or other investment at the same interest rate. 
The number of times that interest is calculated on a loan or other fixed-return investment in a given year.The higher the frequency of compounding, the greater return one will make on the loan or other investment at the same interest rate. See also: Continuously Compounded Interest.

The length of a rectangle is 6 inches longer than its width. the perimeter of the rectangle is 28 inches. if x represents the width of the rectangle, which equation can be used to find its value?

Answers

I hope choice must be given so that we can select which equation can be used to find its value.

I am showing the steps for this problem.

Given that, x represents the width of the rectangle and the perimeter of the rectangle is 28 inches.

Let's assume y represent the length of the rectangle.

Formula to find the perimeter of a rectangle is,

p= 2 * length + 2 * width.

Hence, we can set up an equation as following.

2 y + 2x = 28.

Hope this is your question, if not I think you will, still be able to

find an answer of your question based on this solution.

Hope this helps you!.

Answer: The answer is 2 × (6 + x) + 2 × x = 28.

Step-by-step explanation:  Given that the length of a rectangle is 6 inches longer than its width. the perimeter of the rectangle is 28 inches. if x represents the width of the rectangle, then we are to find the equation that finds the value of 'x'.

Since width of the rectangle is 'x' inches and length is 6 inches longer than the width, so length will be (6 + x) inches.

Also, perimeter is 28 inches, therefore, we have

[tex]2\times(6+x)+2\times x=28\\\\\Rightarrow 6+x+x=14\\\\\Rightarrow 2x=8\\\\\Rightarrow x=4.[/tex]

Thus, the value of x is 4 inches, hence width = 4 inches and length = 4 + 6 = 10 inches.

Liam has purchased a fee-for-service health insurance plan from Leroux Health Insurance. Plan A includes a $248.00 monthly premium and an annual deductible of $5,500.00 (not including co-pays).

Liam is a fairly healthy young man. He visits his primary care physician three times a year on scheduled visits. He sees a chiropractic specialist every week to help with lower back pain. He has no current prescriptions that need refilling regularly.

Assuming Liam maintains his regular visits with his primary care physician and his chiropractor, and avoids any trips to the emergency room or urgent care, how much will Liam pay in health care related fees this year?

Answers

Answer: D | $6,216.00

Step-by-step explanation:

11 + (6-x/2) = 26

TIA

Answers

11 + (6-x/2) = 26   subtract 11 off both sides
(6-x)/2=15             multiply by 2 on both sides
6-x=30                  subtract 6 from both sides
-x=24                   divide by negative 1
x=-24    thats a negative 24

Answer:

X= -24

Step-by-step explanation:

the rule is :divided by 5 the pattern is : 625

Answers

The missing number will be 125
hope this helps :)

If you invest 1,700$ at an annual interest rate of 8.9% compounded continuously. How much will you have in the account after 10 years have passed?

A: $1, 858.24
B: $20,698.60
C:$41,397.20
D$4, 139.72

Answers

the answere u are looking for is d

What is 36000 divided by 11 using long division

Answers

3272.727272 is the answer for 36000 divided by 11. The part of 72727272 never ends. Lol! You're Welcome for answering your question.
      3272.72727272727272727272727272727272727272727272727
11÷36000
      33
        30
        22
          80
          77
           30
           22

3x 4-7x-6 in terms and like terms

Answers

3x 4-7x - 6
4x-2
you can only put like terms together if I remember correctly

A unit of measure used in surveying is the link; 1 link is about 8 inches. about how many links are there in 9 feet.

Answers

Known:

1 link = 8 inches
1 inch = 0.083 feet
108 inches = 9 feet

To find how many links:

108/8= 13.5 links


Final answer:

To find out how many links are there in 9 feet, we can use the conversion factor that 1 link is about 8 inches.

Explanation:

To find out how many links are there in 9 feet, we can use the conversion factor that 1 link is about 8 inches. First, we need to convert 9 feet to inches by multiplying it by 12 (since there are 12 inches in 1 foot). So, 9 feet = 9 x 12 = 108 inches. Next, we can divide 108 inches by 8 (since 1 link is approximately 8 inches) to find the number of links. 108 inches ÷ 8 = 13.5 links. Therefore, there are approximately 13.5 links in 9 feet.

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Find an equation of the line that satisfies the given conditions.
Through (6, 7); parallel to the line passing through
(7, 5) and (3, 1)

Answers

Well, the very first thing you need to do is to  find the slope of the line
According to the fact that we already know that the slope is parallel to the line, you can easily find out the slope, to be more exact :[tex]m=(Y2-Y1)/X2-X1)=4/4=1[/tex]
Straight after, you have to use point slope formula[tex]Y-Y1=m(X-X1) Y-7=X-6[/tex]

Evaluate the expression when y = 4. 5 + y + 8

Answers

Natural resources in Michigan's Upper Peninsula helped earlier inhabitants of the area in which industry? 

The are of a rectangle is 525 square centimeters. The ratio of the length to the width is 7: 3. Find the length and the width.

Answers

I hope this helps you


width 3x


length 7x


3x.7x =525


21.x^2 =21.25


x^2=5^2


x=5


length 7x=7.5 =35


width 3x=3.5=15

To solve for the rectangle's dimensions, the area 525 cm² is divided by the ratio of length to width (7:3), revealing a width of 15 cm and a length of 35 cm.

To find the length and width of a rectangle with an area of 525 square centimeters and a length-to-width ratio of 7:3, we can use proportions. Let's define the width as w centimeters. Then, since the ratio of the length to the width is 7:3, the length can be represented as (7/3)w centimeters.

The area of a rectangle is given by length  imes width. Therefore, we can set up the equation (7/3)w × w = 525 to represent the area. To find w, we solve for w² = (525 × 3) / 7, which gives us w² = 225.

By taking the square root of both sides, we see that w = 15 centimeters. Now to find the length, we use the ratio: length = (7/3) × 15 = 35 centimeters.

Which distribution has the greatest spread?
Mean Standard
Deviation
Distribution 1 22 0.2
Distribution 2 21 0.8
Distribution 3 19 1.2
Distribution 4 20 3.2

Answers

Answer:

Distribution 4, mean is 20 and standard deviation is 3.2

Step-by-step explanation:

The standard deviation tells us on average how far each of our data values is from the mean.  A standard deviation that is larger than the others will mean a distribution that is more spread out than the others; 3.2 is the largest standard deviation, so Distribution 4 has the greatest spread.

The perimeter of a rectangle is 126 ft. The ratio of its length to its width is 5 : 4. What are the dimensions of the rectangle?

Answers

35 by 28 hope it helps you out

help please!
What percent of $6.50 is $2.60?

Answers

%6.33 i do believe What i did was calculated it im really sorry if i got it wrong
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