evaluate the function when x = -3

Answer:

The answer is 4186. 67

Step-by-step explanation:

[tex]v = \frac{4}{3} \times 3.14 \times {(10)}^{3} \\ v = 4186.66666 \\ v = 4186.67[/tex]

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We first complete the square.

y=-x^2+2x+1

y=-x^2+2x-1+1+1

y=-(x-1)^2+2

The maximum point is (1,2) since -1 in ( ) meant 1 unit to the right and +2 meant 2 units up.

The maximum point is (1,2) but the maximum value means the y value which is simply just 2.

Done!

Answer: x is doubled.

Step-by-step explanation:

A proportional relationship between x and y is written as:

y = k*x

where k is called the constant of proportionality.

In this case, we know that we have a proportional relationship between z and x^3

Then:

z = k*x^3

What will happen to x when z is 8 times greater?

Let's rewrite this equation for two new quantities, z' and x'

z' = k*(x')^3

Now we need to replace z' by 8*z, then:

8*z =  k*(x')^3

We want to find a relationship between x' and x.

And by the first relationship, we know that:

z =  k*x^3

Then we can replace this in the equation "8*z =  k*(x')^3" to get:

8*(k*x^3) =  k*(x')^3

8*k*x^3 = k*(x')^3

Now we can divide both sides by k, so we get:

8*x^3 = (x')^3

Now we can apply the cubic root to both sides, to get:

∛(8*x^3) = ∛(x')^3

∛(8)*x = x'

2*x = x'

Then when we increase the value of z 8 times, the value of x will be doubled.

Answer:

2187

Step-by-step explanation:

1594323/729

basically and you just need to divide and your good.

Answer :-

9(3+√3) feet

Step by step explanation :-

A triangle is given to us. In which one angle is 30° and length of one side is 18ft ( hypontenuse) .So here we can use trignometric Ratios to find values of rest sides. Let's lable the figure as ∆ABC .

Now here the other angle will be = (90°-30°)=60° .

In ∆ABC ,

=> sin 30 ° = AB / AC

=> 1/2 = AB / 18ft

=> AB = 18ft/2

=> AB = 9ft .

Again In ∆ ABC ,

=> cos 30° = BC / AC

=> √3/2 = BC / 18ft

=> BC = 18 * √3/2 ft

=> BC = 9√3 ft .

Hence the perimeter will be equal to the sum of all sides = ( 18 + 9 + 9√3 ) ft = 27 + 9√3 ft = 9(3+√3) ft .

Answer:

543

Step-by-step explanation:

553 - 10

= 543

∈⊕║∦↔㏒π∡∡⇅Δπω

If a  rectangular water tank can hold 142.5 cubic meters of water its base is 9.5 meters by 5 meters  then the height is 3 meters.

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

Given that a rectangular water tank can hold 142.5 cubic meters of water

base is 9.5 meters by 5 meters

We have to find the height of the water tank.

Volume = length × width ×height

142.5 = 9.5×5×height

142.5=47.5 height

Divide both sides by 47.5

142.5/47.5 = height

3 = height

Hence, if a  rectangular water tank can hold 142.5 cubic meters of water its base is 9.5 meters by 5 meters  then the height is 3 meters.

To learn more on Three dimensional figure click:

https://brainly.com/question/2400003

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Answer:

Domain is: ( − ∞ , ∞ ) ,  { x | x ∈ R }

range is: ( − ∞ , − 3 ]  ,  { y | y ≤ − 3 }

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

1/2(12.1/4)-1/2

1/2(3)-1/2

1.5-0.5

1

Answer:

1

Step-by-step explanation:

did it on time4learning

Look at the denominator. Diego did not multiply 4 times 3. He simply carried 4 into the product.

sum of all sides of triangle=180°

7x+13x+16x=180°

36x=180°

x=180°/36

x=5

angle D=7x

=7(5)

D=35°

angle E=13(x)

=13(5)

E=65°

angle F=16x

=16(5)

F=80°

angle D=35°

angle E=65°

angle F=80°

Answer:

it would be 37

Step-by-step explanation:

I didn't really understand the question but since those are alternative interior angles they would be the same.

Answer:

j = -15/8

Step-by-step explanation:

Here, we want to find the value of j

-3/4j = 3/5 - 1/5

-3/4j = 2/5

4j * 2 = -3 * 5

8j = -15

j = -15/8

Answer:

x=2

y=0

Step-by-step explanation:

8x - 4y = 16

solve for x

8x = 4y + 16

divide 8 by all terms

x = 2 + [tex]\frac{y}{2}[/tex]

Insert x in second equation

8(2+y/2)+4y=16

solve

y=0

x=2

Answer:

450 more yards

Step-by-step explanation:

Answer:

4530

Step-by-step explanation:

He skated around 3 times: 250(3)= 750

He's skated 750 yards so far.

There are 1760 yards in a mile

three mies= 5280

5280-750= 4530

Answer:

it's the first one

Step-by-step explanation:

Answer:

2 cars will be usefully importante but the money 5K dollers will be used for the car you need more 5K dollers for 2 cars so you can buy 2 cars.

Step-by-step explanation:

#CarryOnLearning

Answer:

first point will be at (0, 6)

then from there you want to go down 1 and to the right 3 times also go up 1 and to the left 3 times (do that until you fill up your graph)

Answer:

7 1/40

Step-by-step explanation:

7.025

= 7025/1000

=281/40

7 1/40

Answer:

d) 7 1/40

e)17/33

Step-by-step explanation:

d) 281/40

7 1/40

e) 714/1386 = 17/33

Answer:

18 miles

Step-by-step explanation:

3 miles/15 minutes = x/90 minutes

3 × 90 = 15 × x (cross multiplication)

270 = 15x

x = 18

Answer:

[tex]\frac25[/tex] and [tex]-\frac25[/tex]

Step-by-step explanation:

Hello!

The square root method is the process of square rooting both sides of the equation.

When you square root a number that is being squared (x^2), it is the absolute value of that number. Meaning that you keep a plus or minus sign on the other side.

The roots of the equation are [tex]\frac25[/tex] and [tex]-\frac25[/tex].

Answer:

x = 12

Step-by-step explanation:

[tex] {x}^{2} = {6}^{2} + {( \sqrt{18 \times 6} )}^{2} \\ \\ {x}^{2} = 36 + {( \sqrt{108} )}^{2} \\ \\ {x}^{2} = 36 + 108 \\ \\ {x}^{2} = 144 \\ \\ x = \sqrt{144} \\ \\ x = 12[/tex]

Answer:

Step-by-step explanation:

Verify the ratio is same for each pair of corresponding sides:

Confirmed the three sides have same ratio

Correct option is A

Answer:

ans 3

Step-by-step explanation:

Circumference is distance round a figure. When diameter is trippled, the circumference will also tripple.

Here is a proof

Take the moon to have circular shape and has diameter d

Circumference is given by C=πd

When the new diameter is trippled, diameter will be 3d and the new circumference will be

C=π3d=3πd

Evidently, the new circumference is three times the original circumference. Therefore, for this case, the new circumference will be 3 times the original

Answer: y=0

Step-by-step explanation:

Mid point of line segment joining (a,b) and (p,q) = [tex](\dfrac{a+p}{2},\dfrac{b+q}{2})[/tex]

Mid point of line segment joining the points (-1,3) and (5,-3) = [tex](\dfrac{-1+5}{2},\dfrac{3-3}{2})[/tex]

[tex]=(\dfrac42,\dfrac02)\\= (2,0)[/tex]

Equation of line passing through (a,b) and (c,d) is given by :-

[tex](y-b)=\dfrac{d-b}{c-a}(x-a)[/tex]

Equation of line passing through (2,0) and (0,0) will be:

[tex](y-0)=\dfrac{0-0}{2-0}(x-0)\\\\\\ y=0[/tex]

Answer:

c

Step-by-step explanation:

c, because if you're doing a percentage of kids who bring lunches you need to do every grade level and every student to get a proper percentage

Answer:

160

Step-by-step explanation:

360/(1+2+2+4)=40

4*40=160

Answer: 5 m

Step-by-step explanation:  

Double the area to get 35. then think what two number multiply to get 35 that are also 2 apart.  7 x 5.  So 7 is the height and 5 is the base.  

Check answer:  A = 1/2xbxh

                               A = 1/2 x 7 x 5

                               A =  1/2 x 35

                               A = 17.5 sq m

Answer:

X=-2

Step-by-step explanation:

4x-2(-3x)= -20

4x+6x=-20

10x=-20

/10    /10

x=-2

Hope this helps!

Answer:

Step-by-step explanation:

Let x be last year's salary.

100%x + 8/100 x = 40120

100x/(100) + 8/100x  = 40120

108x/100 = 40120

1.08x = 40120

x = 40120/1.08

x = 37148.14

Now if you take 8% of  37148.14        =    2971.85

And add it to                                            37148.14

You should get the current earning      40119.99  

You are within a penny of the same answer. This question will not work out evenly because 1.08 does not divide evenly into 40120.

Answer:

-2

Step-by-step explanation:

You can see that when x goes up by 1, y goes down by 2. This means the rate of change is -2

Answer:

The rate of change is -2

Step-by-step explanation:

Take any two points from the graph. (0,-4) and (-2,0). Plug them into the equation y2-y1/x2-x1. In this case the equation would be 0--4/-2-0. Simplify this and get 0+4/-2-0. Simplify again and get 4/-2 which is -2

Therefore the rate of change is -2

Hope this helps