solve by factoring
x^2-8x= -15

Answer:2 and 3

Step-by-step explanation:

First we have to take any point, I'll take (5,3).

X-axis represents number of pounds and y-axis represents total cost (in $).

So, 5 pounds = $3

=> 1 pound = $3/5

=> 1 pound = $0.6

=> 1 pound = 60 cents

Answer:

60c per pound.

Step-by-step explanation:

If 5lbs cost 3 dollars, 1lb = 3/5

3/5 = 0.6$

60c

Answer:

Rate of Change: $60 Per year

Step-by-step explanation:

We can find how many years are from 2000 to 2010 not overcouting. That is 10. Now, we do 1350 minus 750 because that's the change of the fee. That will give you 600. Now, 600 divided by 10, giving you how much change each year. That's 60.

So,

2000:750

2001:810

2002:870

2003:930

2004:990

2005:1050

2006:1110

2007:1170

2008:1230

2009:1290

2010: 1350

You can graph it out with that, now.

Step-by-step explanation:

If possible, please provide a picture otherwise we do not know what to answer. First move 0.25+ along the x axis, then -1.75 in the y direction. it should look like this

Answer:

2.5x

Step-by-step explanation:

-5x+3*2.5x

Multiply

-5x+7.5x

Combine like terms

x(-5+7.5)

2.5x

Answer:

11. p-(780/6) or p-130

14. 12

Step-by-step explanation:

11. 780/6 because there are 6 people so we split it evenly.

14. 24/2 = 12

Answer:

A and D is true.

(see how to solve in pic)

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Work Shown:

4  1/2 = 4 + 1/2 = 4 + 0.5 = 4.5

In short, 4  1/2 cups is the same as 4.5 cups

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1 cup = 8 fluid ounces

4.5*(1 cup) = 4.5*(8 fluid ounces) .......  multiply both sides by 4.5

4.5 cups = 36 fluid ounces

Answer:

D

Step-by-step explanation:

Answer:

325

Step-by-step explanation:

You must have heard about Arithmetic Progressions (AP)

Arithmetic progressions are a series of numbers such that every successive number is the sum of a constant number and the previous number.

Our very own counting numbers form AP

For example :-

2 = 1 + 1

3 = 2 + 1

4 = 3 + 1

The number in bold (1) is that constant number which is added to a number to form its successive number.

To find the sum of series forming AP, we use the formula :-

[tex]sum = \frac{n}{2} \{ a + a _{n} \} [/tex]

here,

So we'll use all this information to find the sum of continuous numbers from 1 to 25 where 1 is the first term(a) and 25 is the last(an).

and n is 25

[tex]S = \frac{25}{2}\{ 1 +25\} [/tex]

[tex] = \frac{25 \times 26}{2} [/tex]

[tex] = 25 \times 13[/tex]

[tex] = 325[/tex]

So, the value of S comes out to be 325.

Answer:

s= 325

Step by step explanation:

Add all numbers 1 to 25 to get 325.

Answer:

Step-by-step explanation:

1÷4 / 6÷1 = 1÷4 × 1÷6 = 1/(4×6)

Answer:

x = 638

y = 1190 - 638 = 552

Step-by-step explanation:

Let x = premium seats

let y = regular seats

x + y = 1190         (ten were not sold

30x + 20y = 30180    (amount collected

now multiply the first equation by 20 and subtract

20x + 20y = 23800

30x + 20y = 30180

-10x = -6380

x = 638

y = 1190 - 638 = 552

check it by multipying x and y by their price to see if you come up with the correct amount

Hope this helps

Answer:25

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

Answer:

f(x)5.79(3)^2 for task 1

Step-by-step explanation:

Answer:

Step-by-step explanation:

Task 1:

Non linear systems of equations:

x + y = 1 -------------------(I)     {Linear equation}

     y =  1 - x

y = x² - 5 ---------------(II)   {Quadratic equation}

Substitute y =1 - x in equation (II)

(II) -->   1 -x = x² -5

Add 'x' to both sides

1 = x² + x - 5

0 = x² + x - 5 - 1   {Subtract 1 from both sides}

x² + x - 6 = 0

x² + 3x - 2x - 6 = 0    {Rewrite the middle term}

x( x + 3) - 2(x + 3) = 0    

(x + 3)(x - 2) = 0

x + 3 = 0       ;  x - 2 = 0

x = - 3   ; x = 2

When x =  - 3 ,   y = 1 -(-3 )

                              = 1 + 3

                             y = 4

When x = 2  ; y = 1 - 2 = -1

Solution of the equations:  (-3,4)  & ( 2,-1)

Task 2:

Part 1: x = 40   ; y = 30

(x - y)² = x² - 2xy + y²

(40 - 30)² = 40² - 2*40*30 + 30²

               = 1600 - 2400 + 900

               = 2500 - 2400

                = 100

Part 2:

a = 10 , b = 11

a³ + b³ = (a + b)(a² - ab +b²)

(10)³ + (11)³ = (10 +11)(10² -10*11 + 11² )

              = 21* (100 - 110 + 121)

              = 21 * ( 221 - 110)

              = 21 * 111

              = 2331

Answer:

He's correct.

Step-by-step explanation:

As long as there is no change in sign of the variables.

Answer:

2856

Step-by-step explanation:

if you multiply 238 by 12

you will get the ans

Answer: 2856

Step-by-step explanation:

A woodworker makes 238 bowls in a month: this is the unit rate. To find how many bowls will be produced by the woodworker in 12 months,  multiply the unit rate by 12.

Answer:

297 units squared

Step-by-step explanation:

You just have to break the squares down and compare them to the other sides of the squares.  For example, F is a 4 by 4 square and B is a 5 by 5 square, to find the dimensions of square E, you would just subtract 5 by 4.  By looking at the side relationships of the squares, you can easily find the dimensions of each one.

A - 9 by 9

B - 5 by 5

C - 6 by 6

D - 7 by 7

E - 1 by 1

F - 4 by 4

G - 8 by 8

H - 5 by 5

Multiply and add to get 297

Answer:

297 units squared

Step-by-step explanation:

Answer:

1,3 and the last one

Step-by-step explanation:

Answer: The missed points will subtract 10 from the total score.

Step-by-step explanation:

A missed landing subtracts 2 points.

If they miss the landings 5 times, you know have a problem of 5x2.

5x2=10

Therefore, The points will subtract 10 from the total score.

The question is incomplete

Answer:

could you add more information?

Step-by-step explanation:

Answer:

I’m sorry but is this all the information given? Because this is incomplete.

Step-by-step explanation:

There has to be some other directions or inage attached (if there was supposed to be attached, i dont see it)

This should include the dimensions of the shipping box.

Answer:  1,2.4

i'm not sure thoo

Step-by-step explanation: :3

The coordinates of the intersections of the diagonal of parallelogram GHJK will be ( -1, 2 ).

A parallelogram is a quadrilateral having four sides and the two opposite sides are equal and parallel to each other.

Given that:-

The intersection point will be the midpoint between the points G and J or points K and H.

The coordinates of the points H and K are ( 3,5)  and K ( -5,-1). So the midpoint will be calculated as:-

Midpoint = [tex]\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}[/tex]

Midpoint = [tex]\dfrac{-5+3}{2},\dfrac{5-1}{2}[/tex]

Midpoint = [tex]-\dfrac{2}{2},\dfrac{4}{2}[/tex]

Midpoint = (-1,2)

Therefore the coordinates of the intersections of the diagonal of parallelogram GHJK will be ( -1, 2 ).

To know more about parallelogram follow

https://brainly.com/question/970600

#SPJ2

Answer:

the inital value is one.

Step-by-step explanation:

So basically, the initial value is just the value of y when x is zero. In this case, its 1 this point on the graph where x=0 is also known as the y intercept. Hope that helped.

Answer:

24.12-9.8=24.32

Step-by-step explanation:

hope this helps, sorry I'm bad at explaining, but just trust me it is this im 100% positive.

Answer: 24.32

Step-by-step explanation:

   34.12  - 09.80

hope this helps

Answer:

you can count the lines from point a to point b on the Y (rise) axis then on the X (run) axis. put the rise over the run as a fraction (rise)/(run to find slope. it will form a triangle.

Step-by-step explanation:

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

Explanation:

A = 0.61 is given to us

Pumpkin B travels 0.28 of a mile further than A does, so,

B = A+0.28 = 0.61+0.28 = 0.89

Pumpkin B travels 0.89 of a mile.

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Pumpkin C travels 0.06 of a mile more than B does, which means,

C = B + 0.06

C = 0.89 + 0.06

C = 0.95

Pumpkin C travels 0.95 of a mile.

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The last thing to do is to subtract the values of C and A

C - A = 0.95 - 0.61 = 0.34

Pumpkin C travels 0.34 of a mile further compared to pumpkin A.

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Side note: if you want to convert from miles to feet, then multiply by 5280.

For instance, 0.61 miles = 0.61*5280 = 3,220.8 feet.

Answer:

1.5x+2.75y+33

Step-by-step explanation:

Call x: the hour of dogs keeping

      y: the hour of wolves keeping

The total charge for dogs keeping: 19+ 1.5x

The total charge for wolves keeping: 14+2.75y

Total cost (19+ 1.5x)+(14+2.75y)= 1.5x+2.75y+33

Answer:

point form (-2,3)

Equation form

x=-2, y=3

Step-by-step explanation:

solve for the first variable in one of the equation, then substitute the result into the other equation.

Answer:

(-2,3)

Step-by-step explanation:

5x=5y-25

x=y-5    divide both sides by 5

use substitution.

2(y-5)+3y=5

2y-10+3y=5    distribute the parenthesis

5y-10=5    combine like terms

5y=15    add 10 to both sides

y=3    divide both sides by 5 to get y alone

5x=5(3)-25    replace y with 3, the value we found above

5x=15-25    multiply 5 and 3

5x=-10    subtract 25 from 15

x=-2    divide both sides by 5 to get x alone

Answer:

33 oranges are left, 18 went to making juice and 9 were given to his daughter