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The solution of the considered system of equation is represented by: Option C: (1,3) and (4,0)

For a solution to be solution to a system, it must satisfy all the equations of that system, and as all points satisfying an equation are in their graphs, so solution to a system is the intersection of all its equation at single point(as we need common point, which is going to be intersection of course)(this can be one or many, or sometimes none)

For the considered case, the system of equations given to us is:

[tex]y = x^2 - 6x + 8\\y = -x + 4[/tex]

Plotting both's graph and finding the common points on both's graph, we get the common points as:

(1,3) and (4,0)

These points satisfy both the equations simultaneously.

Therefore, the solution of the considered system of equation is represented by: Option C: (1,3) and (4,0)

Learn more about solutions to a system of equations here:

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Answer:

c is correct

Step-by-step explanation:

1 cm..............2 km               = scale of the map

2,85 cm....... n km              = to be calculated

n x 1 = 2 x 2,85

n = 5,7 km

Step-by-step explanation:

1cm rep 2km

2.85x2

=5.7

=5.7km

Answer:

22.5 weeks

Step-by-step explanation:

Answer:

He needs to read 14 pages on Thursday to finish the book

Answer:

216

Step-by-step explanation:

First, multiply 0.6 by 10

The answer is 6

The multiply 6 to the third power.

6 · 6 · 6 = 216

Hope I helped :)

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Answer:

12$

Step-by-step explanation:

he worked from 1:45-4:45 wich means he worked 3 hours,then 3 hours *4$ =12$

Answer:

12 dollars

Step-by-step explanation:

Hello!
To solve this question, we understand that:
- the rate at which he earns money is 4 dollars an hour.

-if we find how many hours elapsed between 1:45pm-4:45pm, it is three hours which means he has worked for three hours
(4:45pm-1:45pm=3:00 hours)

Knowing this equation, we must figure out how much he earns during this time frame, 3 hours.

Since we know that the rate is 4 dollars an hour and he has worked 3 hours, let's multiply 4 times 3 (or add 4 three times 4+4+4) to get 12 dollars he has worked during this time.

Answer:

$110

Step-by-step explanation:

divide 330 by 3

$115 i think..........................

The answer to your question is 36

-18 + x(-6)

Substitute x with -9

-18 + (-9) (-6)

Then you get 36

Hey there!

-18 + x(-6)

= -18 + (-9)(-6)

= -18 - 9(-6)

= -18 - (-54)

= -18 + 54
= 36

Therefore, your answer is: 36

REMEMBER!
• Negative & negative = positive

• Positive & positive = positive

• Negative & positive = negative

• Positive & negative = negative

• Negatives are smaller than 0

• Positives are bigger than 0

• Negatives are to the LEFT of 0

• Positives are to the RIGHT of 0

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

200 times 40000 is 8000000.

       200

x 40000

---------------

8000000

Answer: 8,000,000

Step 1: Multiply by smaller parts.

2 x 4 = 8

Step 2: Add all the zeros.

8,000,000

Answer = 8,000,000

Hope this helps!

Answer:

He should have divided by 4, not 6....

Step-by-step explanation:

Just did the lesson

Abdul have done error by dividing with 6 instead of 5, So Abdul should have divided by 5, not 6 is correct option.

The area of Rectangle is length times of width.

According to the information provided, the initial dimensions of the pool are a rectangle with length 24 feet and width 15 feet.

The corresponding dimensions in the drawing are a rectangle with length 4 feet and width 3.75 feet.

Therefore, the scale factor for the length is:

24/4 = 6

And the scale factor for the width is:

15 feet / 3.75 feet = 4

Abdul wants to fit the pool into a smaller space, so he needs to find the corresponding dimensions of the pool in the drawing that has a length of 20 feet.

To maintain the same scale, he needs to apply the same scale factor to the new length.

Thus, the new length in the drawing is:

20/6 = 3.33 feet

Similarly, he needs to apply the same scale factor to the new width to maintain the same scale.

Thus, the new width in the drawing is:

18.75/4 = 4.69 feet

Now, let's check Abdul's work:

24/6×6/20=4/3

Left side is not equal to right side.

Abdul should have divided by 5, not 6.

Hence, Abdul have done error by dividing with 6 instead of 5, So Abdul should have divided by 5, not 6 is correct option.

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Answer:

b

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

[tex] = \frac{7}{8} \div \frac{1}{4} [/tex]

[tex] = \frac{7}{8} \times \frac{4}{1} [/tex]

[tex] = \frac{(7 \times 8)}{4} [/tex]

[tex] = \frac{56}{4} [/tex]

[tex] = \frac{56 \div 4}{4 \div 4} [/tex]

[tex] = \frac{14}{1} [/tex]

[tex] = 14[/tex]

Therefore :-

[tex] \frac{7}{8} \div \frac{1}{4} = 14[/tex]

They paid sales tax on a customer which cost $196.00​ is 75 %.

We have given that,

At a store, 3 cents on every dollar spent is charged as sales tax.

A sales tax is a tax paid to a governing body for the sales of certain goods and services

0.3 multiplied by $196.00

0.3 *196=58.8

$58.8 as sales tax.

Adding that to the $196 dollars

$58.8+$196=$254.80

Therefore total sum and amount of

=$254.80

Therefore, they paid sales tax on a customer which cost $196.00​ is 75%.

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Answer:

You didn't add any options but here is a couple that could work.

3m - 9 + 4

3m - 5

Hope that helps and have a great day!

Answer:

Reflections, rotations, and translations produce an image that is congruent to the pre-image. Sequences of those transformations produce congruent images.

Answer:

$11.70

Step-by-step explanation:

X= starting amount ($200)

R= interest rate (6%)

Y= years (6)

simple interest= [tex]X(1+ r^{y} )[/tex]

compounded interest= [tex]X(1+r)^{y}[/tex]

Answer:

-6+8

Step-by-step explanation:

-6+8=6-(8)

-2=-2

Hoped it helped :)

Answer:

32

Step-by-step explanation:

negative times negative = positive

Answer:

1

Step-by-step explanation:

You can find slope by the formula

y2-y1 over x2-x1

In this case, 6-5 over -3-(-3) or -3=3

This is equal to 1 over 0 which is 1

Answer:

A

Step-by-step explanation:

The answer is circle because if you slice a cone parallel to the base, the cross section is circle

A Right Cone is sliced parallel to its base the resulting shape is Circle.

A cone is a" three dimensional shape consisting one circular shape and once continuous curved surface tapering to a point".

According to the question,

A right cone is slice parallel to its base.

In order to find the resulting shape. When a right cone is sliced parallel to its base it results Circle.

Hence, right Cone is sliced parallel to its base the resulting shape is Circle.

Learn more about Cone here

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Answer:

24%

Step-by-step explanation:

convert the fraction to decimal then multily by 100

6/25 to decimal is 0.24

0.24 x 100 = 24

Answer:

24%

Step-by-step explanation:

6/25

=0.24

=24%

Step-by-step explanation:

I believe we are expected to solve for the number of lawns she would mow before she could make profit

let the cost be C

and let the price be P

and let the number of lawn be x

C=$450----------1

P=6+20x---------2

equating 1 and 2 we can find x

450=6+20x

450-6=20x

444=20x

x=444/20

x=22.2

therefore for her to break even and start making profit she need to mow 22.2 lawns and above

Answer:

1.5

Step-by-step explanation:

All the other values are .15, 1.5 does not equal .15, so it is not equivalent.

Hopefully this helps- let me know if you have any questions!

Answer:

1.5

Step-by-step explanation:

3/20 =15% =0.15

1.5 is not equivalent to the other values

Answer: 30 is the maximum possible value of y