9q-4= 3r-6
What does r=

Answer:

(c) 9

Step-by-step explanation:

You can't have a repeated x-value in a function.

8 is taken by (8, 7)

7 is taken by (7,-6)

-4 is taken by (-4, 5)

9 is the only number that is not taken by any other point yet.

Remember that for a relationship to be a function it can't have repeated x-values. However, it doesn't matter to have the same x and y values!

Hope this helped!

Answer:

Step-by-step explanation:

(4,3) and (6,9)

difference of x-coordinates = 6-4 = 2

difference of y-coordinates = 9-3 = 6

distance between points = √(2²+6²) = √40 = 2√10

Answer:

the no of children and no of adults swam that day is 73 and 358 respectively

Step-by-step explanation:

Let us assume the no of children and no of adults swam that day be x and y

Now as per the question

The following equations are

x + y = 431

we can write as

x = 431 - y

1.50x + 2y = $825.50

1.50(431 - y) + 2y = $825.50

646.50 - 1.50y + 2y = 825.50

0.5y = 179

y = 358

And x = 431 - 358

= 73

Hence, the no of children and no of adults swam that day is 73 and 358 respectively

Answer:

D

Step-by-step explanation:

(f of g)(x), the composition of the function f with g is defined as follows: (f g)(x). = f(g(x))

Answer:

12 12 12 is the answer

Step-by-step explanation:

Answer: 12.

Answer:

15 is 125% of 12.

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

6+8=14 14+10=24

Answer:

A.   4.5 ft

B.    4 ft

C.    1 ft

Step-by-step explanation:

If you pretend that h is replacing y and d is replacing x and you would graph the equation, then you would get a parabola that opens down.

You would need to find the vertex of the parabola.  The ordered pairs would be (d, h) instead  of the normal (x, y).  

A.  The maximum height will be the h value of the vertex

B.   Let h = 0 and solve the equation for d.  That will give you distance from the stump that the frog landed.

C.  The distance from the log at the maximum height is the d value of the vertex

So, that is what is needed to be done.

Without me going thru all the work, the vertex is (1, 4.5) and the solutions to the equation when h = 0 are 4, -2  (discard -2 since a distance cannot be negative)

So the answer to A is 4.5 ft.

The answer to B is 4ft.

The answer to C is 1 ft.

Now, can you find the vertex on your own and can you solve the equation when h = 0?  I hope so.  OK?

A function assigns the values. The maximum height will be when the horizontal distance is 1feet from the log.

A function assigns the value of each element of one set to the other specific element of another set.

A.) The maximum height of the frog,

h = -0.5d²+d+4

dh/dd = -0.5(2d)+1

dh/dd = -d+1

0=-d+1

d = 1

The maximum height will be when the horizontal distance is 1feet from the log.

h = -0.5(1)² + 1 + 4

h = -0.5 + 1 + 4

h = 4.5

Hence, the maximum height of the frog will be 4.5 feet.

B.) The Distance between the frog and the stump when the frog land can be found,by putting h=0.

0 = -0.5(d)²+ d + 4

d²-2d-8=0

d²-4d+2d-8=0

d(d-4)+2(d-4)=0

d = 4, -2

Since the distance can not be negative, the frog is 4 feet away from the stump when the frog land.

C.) The maximum height will be when the horizontal distance is 1feet from the log.

Learn more about Function:

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Answer:

150 minutes

Step-by-step explanation:

P.S - The exact question is -

Given - This is the pond in a shape of a prism, it is completely full of

             water. Colin uses a pump to empty the pond. The level goes

             down by 20 cm in the first 30 min.

To find - Work put how many minutes Colin has to wait for the pond

               to completely empty.

Proof -

Given that,

Height of prism = 1 m

Also,

Base of the prism is trapezium and

Sides of the trapezium are 0.6 m and 1.4 m

Height of trapezium is 2 m

We know that,

Area of trapezium = [tex]\frac{1}{2}[/tex]× (sum of sides)× height

                             =  [tex]\frac{1}{2}[/tex]× (0.6 + 1.4)× 2

                             =  [tex]\frac{1}{2}[/tex]× (2)× 2

                             =  2 m²

⇒Area of trapezium = 2 m²

Now,

Volume of prism = Area of trapezium × height of prism

                          = 2 m² × 1 m

                          = 2 m³

⇒Volume of prism = 2 m³

Now,

Given that the level goes down by 20 cm in the first 30 min

We know

100 cm = 1 m

⇒1 cm = [tex]\frac{1}{100} m[/tex] = 0.01 m

⇒20 cm = 20×0.01 m = 0.2 m

⇒The level goes down by 0.2 m in the first 30 min.

Also,

we know that height of water = height of prism = 1 m

So, the remaining water left in the pond = 1 m - 0.2 m = 0.8 m

Also,

Volume of Remaining water = Area of trapezium × height

                                           = 2 m² × 0.8 m

                                           = 1.6 m³

⇒Volume of Remaining water = 1.6 m³

Now,

Volume of emptied water = Total Volume - Volume of Remaining water

                                       = 2 m³ - 1.6 m³

                                       = 0.4 m³

⇒Volume of emptied water = 0.4 m³

Now,

0.4 m³ water will be empty in 30 minutes

⇒ 1 m³ water will be empty in [tex]\frac{30}{0.4}[/tex] = 75 minutes

⇒1.6 m³ water will be empty in 1.6 × 75 = 120 minutes

∴ we get

The remaining water is empty in 120 minutes

So,

Total pond is empty in 120 + 30 minutes

⇒Total pond is empty in 150 minutes

Answer:

x = 18.38

Step-by-step explanation:

sin 45 = 13/x

0.7071 = 13/x

x = 18.38

The height of the tree is 5.7m

Angle of elevation is the angle between the horizontal line and the line  of sight.

Analysis:

The height of the tree and the tree's shadow form a right angle triangle with the line of sight.

let the height of tree be h

tan 50 = h/4.8

h = 4.8 x tan 50

h = 4.8 x 1.191 = 5.7m

In conclusion, the height of the tree is 5.7m

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Answer:

33

Step-by-step explanation:

The pattern is y = 5x + 8.

So, plugging in 5 for x gives you y = 5(5) + 8 = 33.

Answer:

D

Step-by-step explanation:

those angles are vertical angles so they are congruent.

Answer:

1.   8

2. 7

3. 8/3

4. c 27

Step-by-step explanation:

1.  Find 1 26/2=13 104/13=8

Just find the unit rate to help you solve

Answer: (a+b)2=9. a2+2ab+b2=9

Step-by-step explanation:

Answer:

0.0128

Step-by-step explanation:

Given that: 1 gallon = 45 L

Then,

x gallons = 144 L

So that,

x gallons = [tex]\frac{144}{45}[/tex]

               = 3.2

i.e 3.2 gallons = 144 L.

The fraction of 250 gallons that is 144 L can be determined as;

The fraction = [tex]\frac{3.2}{250}[/tex]

                    = [tex]\frac{8}{625}[/tex]

                    = 0.0128

The fraction of 250 gallons that is 144 L is 0.0128.

Check: 250 gallons = 250 x 45

                                 = 11250 L

Fraction required = [tex]\frac{144}{11250}[/tex]

                             = 0.0128

Answer:

You'll be able to 12 & 6/10 of the bags

Step-by-step explanation:

The rounded version is 12 but since there is a decimal you'll then translate it into a fraction I got the answer I did by dividing 152 by 12 then getting the answer of 12.6666~ I translated the decimal into a fraction

Answer:

6/10 I believe :)

Step-by-step explanation:

Answer:  She needs to sell exactly 173 pies.

Step-by-step explanation: Don't ask me how, but I'll tell you this 1. it wasn't easy and 2. It took me FOREVER. So conclusion- be happy.

Answer:

the answers are

8) e. opposite sides

9) d. vertices

10) c. opposite angles

11) b. diagonals

12) a. consecutive sides

Answer:

The next one is 64. Can you mark branliest if it's right?

Answer:

F(x) = x^1 * 2

Step-by-step explanation:

Answer:

-3.03

Step-by-step explanation:

12.95 - 15.98 = -3.03

Hope that helps!

Answer: 3.03

Step-by-step explanation:

I did it on a regular calculator if you need to do something like this again.

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Answer:

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Answer:

function:

graph and table A and B

not function:

mapping A and B

Answer:

jasmine can make 14 cupcakes

Step-by-step explanation:

5 1/4 = 5.25

3/8 = 0.375

5.25/0.375 = 14

Answer:

  -2 7/12

Step-by-step explanation:

Let x represent the unknown number.

  x + (-5 2/3) = -8 1/4

Adding 5 2/3 to both sides of the equation tells us ...

  x = 5 2/3 -8 1/4 = -2 7/12

The other number is -2 7/12.

_____

The difference can be found as ...

  -(8 1/4 -5 2/3) = -(8 3/12 -5 8/12) = -((8 -5) +(3/12 -8/12)) = -(3 -5/12)

  = -(2 7/12)