Find the solution to the system. Write your solution as an ordered pair (x,y) with no spaces, no solution, or infinitely many. x=y+8 and x=5y+12 *

Answer:

y=  3x + 8

Step-by-step explanation:

y = mx + b

m = 3 inches of water added each day

x = 8 inches of water at start

y=  3x + 8 is the required equation.

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that, Shannon's rain-catcher has 8 inches of water in it. Each day, 3 inches of water are added to the rain-catcher.

We have,

m = 3 inches of water added each day

x = 8 inches of water at start

Converting in y = mx + b, we get,

y = 3x+8

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Answer:

b

Step-by-step explanation:

f(x) = x³ + x² - 66x + 54

= (x² - 8x + 6)(x + 9) + 0

=> the answer is b

Answer:

b

Step-by-step explanation:

If (x + h) is a divisor of f(x) then f(- h) = remainder

If f(- h) = 0 then (x + h) is a factor of f(x)

Here divisor is (x + 9) , then

f(- 9) = (- 9)³ + (- 9)² - 66(- 9) + 54

        = - 729 + 81 + 594 + 54

        = 0

Thus remainder is 0 and (x + 9) is a factor of f(x)

Answer:

8 full practice

Step-by-step explanation:

Given that :

Morning Practice hours Total = 12 hours

Afternoon practice hours total = 14 hours

practice length = 3 hours

Hence, Number of full practices attended :

practice hours / practice length

Morning : 12 / 3 = 4 practice sessions

Afternoon = 14 / 3 = 4.666 sessions

Hence, number of full practice completed = 4 + 4 = 8

Answer:

hope this helps .enjoy the rest of your day.

Answer:

40

Step-by-step explanation:

A=5

mhdyudpsitsyooatost

Answer:

$119, $7.

Step-by-step explanation:

First, we need to find the unit rate of pay, in dollars.

Divide $35 by 5 to get $7 per hour.

Now, we multiply the unit rate of pay by 17 to find out how much money is made in the 17 hours that were worked.

By doing this, we get the answer: $119.

Hope this helps! Let me know.

Answer:

y = -5x - 8

Step-by-step explanation:

Take the points (-5,-4) and (0,-3) plug them into this formula to get the slope.

[tex]\frac{y2 - y1 }{x2 - x1}[/tex]

Now plug in your points

[tex]\frac{-3 - (-4)}{0 - (-5)} \\\\\frac{1}{5}[/tex]

Since you're slope is 1/5 the slope of the perpendicular line is going to be the totally opposite -5 is the slope of the perpendicular line.

Now plug in -5 and the point (-2,2) into y = mx + b to get the y-intercept

2 = -5(-2) + b (b represents the y-intercept)

2 = 10 + b (subtract 10 from both sides)

-8 = b

The perpendicular line looks like this y = -5x - 8

Hope this helps ya! Keep smiling!

Answer:   {(x + 2), (x - 1), (x - 3)}

Step-by-step explanation:

Presented symbolically, we have:

x^3 - 2x^2 - 5x + 6

Synthetic division is very useful for determining roots of polynomials.  Once we have roots, we can easily write the corresponding factors.  

Write out possible factors of 6:  {±1, ±2, ±3, ±6}

Let's determine whether or not -2 is a root.  Set up synthetic division as follows:

-2   /   1   -2   -5   6

              -2     8   -6

     -----------------------

        1     -4      3    0

since the remainder is zero, we know for sure that -2 is a root and (x + 2) is a factor of the given polynomial.  The coefficients of the product of the remaining two factors are {1, -4, 3}.  This trinomial factors easily into {(x -1), (x - 3)}.

Thus, the three factors of the given polynomial are {(x + 2), (x - 1), (x - 3)}

Answer:

Option A

Step-by-step explanation:

The equation of line is

Solution:

Given that line passes through the point (4, –6) and has a slope of Negative three-fourths

Given point is (x, y) = (4, -6)

The equation of line passing through point (x, y) and slope "m" is given as:

y = mx + c ----- eqn 1

Where "m" is the slope of line and "c" is the y - intercept

Substitute (x, y) = (4, -6) and  in eqn 1

The required equation of line is given as:

Thus the equation of line is found

Answer:

a

Step-by-step explanation:

The parabola can intersect the circle four times as the graph shows below. Each intersection point is a solution in the form (x,y).

the answer is:

Each equal length of ribbon is 5.25 ft

Step-by-step explanation:

21 divided by 4 is 5.25

To find the number of distributed quantities division operator is used. Each length of ribbon was 5.25 foot long.

Division is a mathematical operation used to divide a number into equal parts. When a number is divided by another number, a quotient and remainder is obtained.

Given length of ribbon = 21 foot

Number of parts it has to be divided = 4.

So, to get the length of each part divide the total length by 4.

Thus, the length of each part is 21/4 = 5.25 foot.

Hence,  the length Mrs. Wally' s each ribbon is 5.25 foot.

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Answer:

22 cm

Step-by-step explanation:

Start off by multiplying the number of pages by the thickness.

200*0.008=1.6

Add the thickness of the front and back cover.

1.6+0.6=2.2

Multiply by 10.

2.2*10=22 cm

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The height of the 10 stacks of books is 22cm.

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

Given that the front and back covers of a textbook are each 0.3 cm thick. Also, there are 200 sheets of paper between the cover and the thickness of each sheet is 200 sheets. Therefore, the thickness of the book is,

The thickness of a single book

= (Number of covers × Thickness of cover) + (Number of sheets × Thickness of sheets)

= (2 × 0.3cm) + (200 × 0.008cm)

= 2.2 cm

Now, the thickness of 10 books will be,

The thickness of 10 books = 10 × the Thickness of a single book

                                            = 10 × 2.2 cm

                                            = 22 cm

Hence, the height of the 10 stacks of books is 22cm.

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Answer:

8 meters

Step-by-step explanation:

This means that the shadows at this time is twice as tall as normal.

4*2=8

Luka's shadow is 8 meters tall.

Answer:

V = 63.62

Step-by-step explanation:

Answer: 63.62 cubic inches

Step-by-step explanation:

REMEMBER :: VOLUME OF CYLINDER = πr^2h

r= 1.5 in.

h= 9 in.

V= π (1.5)^2 (9)

V= π (2.25) (9)

V= π (20.25)

V~63.6172512...

nearest hundredth = 63.62 cubic inches

If x = 2

then

3(2)² - 2(2) + 1 = 3(4) - 4 + 1 = 12 - 4 + 1 = 13 - 4 = 9 #

Therefore, if x = 2 then it's 9

Answer:

yes

Step-by-step explanation:

l,l,;,;,;,;l,;,;

x=-4  hope it helps! good luck

Answer:

x=76

Step-by-step explanation:

-4(x - 26) = -200

x-26=50

x=50+26

x=76

I hope this helped you! If it did, please consider rating, pressing thanks, and giving my answer 'Brainliest.' Have a great day! :)

Step-by-step explanation:

-4x+104=-200

-4x=-200-104

-4x=-304

x=-304÷(-4)

×=76

Answer:

It should be 245 m

Step-by-step explanation:

Separate it like this:

chop of the rectangle part and find the area of that and then add it to the trapezoid part

10*20 = 200.

Area of a trapezoid = 5+10/2 *6.

5+10 = 15. 1

5/2 = 7.5.  

7.5*6 = 45.

45 + 200 = 245

Answer:

The answer is 123

5

→

✔ 12 1/2

3

8

→

✔ 1/2

Martin's friend bought about  

✔ 6 ¼

pounds of grapes.

The number of pounds of grapes that are bought will be  [tex]4\frac{29}{40}[/tex]  pounds.

Fractions are used to represent smaller pieces (or parts) of a whole.

Given the information that Martin bought 12 3/5 pounds of grapes for a picnic, while his friend bought 3/8 of that amount.

Therefore, the amount that his friend bought will be:

= 3/8 × 12 3/5

= 3/8 × 63/5

= 189/40

= [tex]4\frac{29}{40}[/tex]

Hence,  the number of pounds of grapes that are bought will be  [tex]4\frac{29}{40}[/tex]  pounds.

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Answer:

the answer is 1. 794

Step-by-step explanation:

Answer:1.794 is the answer to you question.                                                  

Step-by-step explanation:

Answer:

g(4x) = 192x^3

Step-by-step explanation:

For this problem, f(x) is irrelevant since we are simply are dealing with g(x).  We will simply replace the value of x in g(x) with 4x.  So let's do that.

g(x) = 3x^3

g(4x) = 3(4x)^3

g(4x) = 3(4^3)(x^3)

g(4x) = 3(64)(x^3)

g(4x) = 192x^3

Hence, g(4x) is 192x^3.

Cheers.

Answer:

1/6

Step-by-step explanation:

ive seen that question b4

2 pounds of flour are required to make 1 recipe, as of the given condition.

Given that
8 1/4 pounds of flour are used to make 4 1/8 paper-mâché pasta recipe how much flour is used in one recipe is to be determined.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,

Flour = 8 1/4
Flour = 8.25 pounds
The proportion of the recipe made corresponding to 8.25 pounds of flour = 4.125
Now,
For 1 recipe = 8.25 / 4.125 = 2 pounds of flour are needed.

Thus,  2 pounds of flour are required to make 1 recipe, as of the given condition.

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Answer: 50%

Step-by-step explanation:

Let x = Total dishes.

Dishes from China = [tex]\dfrac38x[/tex]

Dishes from Japan  = [tex]12.5\% \text{ of }x= 0.125x[/tex]

Total dishes  from China and Japan = [tex]\dfrac38 x+0.125x=0.375x+0.125x=0.5x[/tex]

Dishes from other countries [tex]= x- 0.5x= 0.5x[/tex]

Percent of dishes from other countries= [tex]\dfrac{0.5x}{x}\times100\%= 50\%[/tex]

Hence, dishes from other countries = 50%

Answer:

t = [tex]\sqrt{\frac{-2(h-1)}{a} }[/tex]

Step-by-step explanation:

solve for t

h = -[tex]\frac{1}{2}[/tex]a[tex]t^{2}[/tex] + 1; multiply both sides by -2

-2h = a[tex]t^{2}[/tex] - 2; add 2 to both sides

-2h + 2 = a[tex]t^{2}[/tex]; divide by a

(-2h + 2) / a = [tex]t^{2}[/tex] ; take the square root

t = [tex]\sqrt{\frac{-2(h-1)}{a} }[/tex]

Answer:

3 gallons

Step-by-step explanation:

2 - 1 + 2 = 3