Factor the expression.
2x^2 + 3x - 9

Answer:

51/5

Step-by-step explanation:

Multiply 10 by the denominator to get the numerator and keep the denominator the same.

The value of the mixed fraction 10¹/₅  as an improper fraction is 51/5.

Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction is a number that is a component of a whole. By breaking a whole into a number of parts, it is evaluated.

To convert 10¹/₅ to an improper fraction, multiply your whole number (10) by your denominator (10 x 5 = 50), then add your numerator (1) 50 + 1 = 51. Now multiply that by your original denominator (5) to get 51/5.

In summary:- (whole number x denominator + numerator) / original denominator.

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Answer:

65

Step-by-step explanation:

FCJCFHCYJHCJ=09

HYVFYTRYTRYTRYTRYTRHUVF08=887U#]]]]]]]]]]]]]]]]]

X=9

Finding slope: y2-y1/x2-x1

3-9/1+2

=-6/2

Divide 2 from both

=-3/1 or -3

Slope= -3

Finding y-intercept= y=mx+b

Choose any point on the line to plug in the x and the y then plug in the slope.

I choose (1,3)

3=-3×1+b

3=-3+b

Add 3 to both sides

6=b

Y-intercept=6

Equation: y=-3x+6

Answer:

30 miles

Step-by-step explanation:

Answer:

7z

Step-by-step explanation:

[tex]\huge\pink{ƛƝƧƜЄƦ}[/tex]

Z = 24

H / Z = 7 / 3

H / 24 = 7 / 3

H = 7 * 24/3

H = 7 * 8

H = 56

Hannah receives 56 dollars.

So,

H / Z = 56 / 24 = 7 / 3 ;; with the smart 1 = 8/8.

Answer:

£16,80

Step-by-step explanation:

3:7

3+7=10

Hannah=7/10×24

7×24=168

168÷10

16,8

£ 16,80

Answer:

12 * 27 =  

✔ -324

8 +  

5

3

 * 0.4 −  (  

2

3

 − 3.2 )  =  

✔ 11.2

Step-by-step explanation:

Evaluating expressions involve solving and simplifying the expression

The expressions are given as:

[tex]\mathbf{(a)\ -12 - 27}[/tex]

[tex]\mathbf{(b)\ 8 + 53 * 0.4 - ( 23-3.2)}[/tex]

[tex]\mathbf{(a)\ -12 - 27}[/tex]

Subtract 27 from -12

[tex]\mathbf{-12 - 27 = -39}[/tex]

Hence, the result of [tex]\mathbf{-12 - 27}[/tex] is -39

[tex]\mathbf{(b)\ 8 + 53 * 0.4 - ( 23-3.2)}[/tex]

Start by evaluating the expression in brackets

[tex]\mathbf{8 + 53 * 0.4 - ( 23-3.2) = 8 + 53 * 0.4 - 19.8}[/tex]

Evaluate the products

[tex]\mathbf{8 + 53 * 0.4 - ( 23-3.2) = 8 + 21.2 - 19.8}[/tex]

Add and subtract

[tex]\mathbf{8 + 53 * 0.4 - ( 23-3.2) = 9.4}[/tex]

Hence, the result of [tex]\mathbf{8 + 53 * 0.4 - ( 23-3.2)}[/tex] is 9.4

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Answer:

B.

Step-by-step explanation:

How to name a ray:

A ray is part of a line. It has an endpoint and contains all points of the line to one side of the endpoint. To name a ray, use two points on the ray. The first one must always be the endpoint. The second point is any other point on the ray. The arrowhead above the two letters always points to the right.

Option B is correct.

Answer: The average rate at which the water level changed every week = [tex]-\dfrac35[/tex] inches per week.

Step-by-step explanation:

Given: Change in water level in [tex]1 \dfrac23[/tex]  week = [tex]-1\dfrac12[/tex] inches = [tex]-\dfrac32[/tex] icnhes

To find : The average rate at which the water level changed every week.

i.e. Change in water level per week.

As [tex]1\dfrac23 = \dfrac52[/tex]

Change in water level in 1 week = [tex]-\dfrac{3}{2}\div\dfrac52 = -\dfrac32\times \dfrac25= -\dfrac35[/tex]

Hence, the average rate at which the water level changed every week = [tex]-\dfrac35[/tex] inches per week.

We want to find the average rate of change at which the water level changed in a given time period.

We will find that the average rate of change is:

[tex]r = - 0.9 in/week[/tex]

We define the average rate of change as the quotient between the total change and the time it takes.

Here we have:

total change = -(1 + 1/2) in

Time = (1 + 2/3) weeks

Then the average rate of change is:

[tex]r = \frac{-(1 + 1/2) in}{(1 + 2/3) weeks} = - 0.9 in/week[/tex]

This means that the water level decreases, in average, 0.9 inches per week.

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Answer:

your answer is 1500 because if you divide $15000 by 100 then you get 1500

Step-by-step explanation:

$15000/100 = 1500

Answer:

6

Step-by-step explanation:

im pretty sure im right

Answer:

  5 hours

Step-by-step explanation:

The rental option for h hours costs ...

  r = 30h

The purchase option for h hours costs ...

  p = 125 +5h

These costs are the same when ...

  r = p

  30h = 125 +5h

  25h = 125 . . . . . subtract 5h

  h = 5 . . . . . . . . . divide by 25

Karrisa must ski for 5 hours for the prices to be the same.

Answer:

w=12

Step-by-step explanation:

put it like this

x=x

x=2y

x=4z

x=8w                         Now, x=8w, y=4w because there are 2 y's and 8/2 is 4, same thing goes with z so z=2w and w=w.

8+4+2+1=15             180/15=12

Answer:

x = 16

Step-by-step explanation:

3(x-4)=36

First we will distribute:

3x - 12 = 36

Add 12 to both sides:

3x = 48

Divide both sides by the coefficient:

x = 16

Check your work:

3 (x - 4) = 36

3 (16 - 4) = 36

3 (12) = 36

36 = 36

Final answer:

x = 16

Answer:

The tomato goes to the last box

The carrot goes to the middle box

The broccoli goes to the first box

Step-by-step explanation:

Answer:

4 callers

Step-by-step explanation:

Because 10 is a factor of 30, we don't have to worry about it. Every 30th caller will get both rewards. 120/30=4 so the answer is 4.

Answer:

a torus is a surface revolution generated by a circle in three dimentional space about an axis that is coplanar with the circle

Step-by-step explanation:

i searched it

Answer:

so mean

Step-by-step explanation:

you put you numbers in a line from greatest to least and the one in the middle is your mean or average

Answer:

x = 3 and x = -2/7

Step-by-step explanation:

you can multiple -6 by 7 = -42

and then find what adds into -19 but can multiply together to get -42.

In this case (x-21)(x+2) would work

then you have to divide out your 7 from both numbers,

(x-21/7)(x+2/7)

then you have to make them equal to zero

x-21/7 = 0                =   x = 21/7 = 3

x+2/7 = 0                 =   x = -2/7

so your final answer is x = 3 and x = -2/7

The answer is -2.3328

Answer:

10

Step-by-step explanation:

Just took the test

Answer:

y= -11x/8  - 45/8

Step-by-step explanation:

Write this equation in slope intercept form:

y= mx + b

11x + 8y = -45

8y= -11-45

y= -11x/8  - 45/8

Hope this helps :)

Answer:

(g ￮ f )(x)

Step-by-step explanation:

(g ￮ f )(x) means substitute f(x) into g(x) , that is

g( [tex]\frac{1}{x-2}[/tex] )

= [tex]\frac{1}{x-2}[/tex] + 5

Answer:

(g ￮ f )(x)

Step-by-step explanation:

Answer:

x = - 2√2

x = -2

Step-by-step explanation:

A . 5 + x² = 2 x² +13

    5 + x² - 2 x² - 13 = 0

      - x² -8 = 0

      - x² = 8

         x² = -8

         x = - √8

          x = - 2√2

B . 5 + x³ = 2 x³ + 13

    5 + x³- 2 x³ - 13 = 0

       - x³ -8 = 0

        -x³ = 8

         x³ = -8

      x = - ∛8

         x = -2

Answer:

x=7

Step-by-step explanation:

subtract 5 from both sides

5-12= 7

so x=7

Answer:

20x-10(or if solving for x x = -1/2

Step-by-step explanation:

Combine Like Terms

10 5/6x+9 1/6x-1-9 = 19 6/6x -10 = 20x-10