The graph of y=x^3+x^2-6x is shown....

Answer:

Rise= y-axis

Run=x-axis

Slope=rate of change

Step-by-step explanation:

Think of run as you are running on the ground. The x-axis is positioned to look like you would be able to run on a flat horizontal line. When it is referring to run, it means the y-axis because when you run you go up in a way, just like the y-axis. Rise and Run is a phrase used to represent slope because it is indicating that to calculate slope, you take your "y" value over your "x" value as in a fraction. For example [tex]\frac{y}{x}[/tex]. Slope is just how fast a certain unit is changing at a consistent "speed".

Answer:

-8

Step-by-step explanation:

Answer:

Step-by-step explanation:

5×6= 30

150+30

= 180

Answer:

a

Step-by-step explanation:

x/150=6/5

x=6/5×150=6×30=180 inches.

Answer:

The quotient is the answer to a division.

One of the properties of 0, is that 0 divided by any number is 0.

The exception is

0/0

which is undefined.

(the fact that 0 is being divided by a negative number makes no difference. There is no just thing as +0 or -0.)

Step-by-step explanation:

Step-by-step explanation:

w = 34° (alternate interior angles)

x = 34° (vertically opposite angles)

y = 101°

z = 79° (corresponding angles)

Answer:

329.6=1/3×16.97r

5.66r=329.6/÷5.66

r=58.23

Answer:

The value of x is 10.

Step-by-step explanation:

By question,

-4(x - 5) = 60

or,-4x + 20 = 60

or,-4x = 60 -20

or, -4x = 40

or, x =40/-4

Hence,x=10

Answer:

x = 10

Step-by-step explanation:

-4(x - 5 ) = 60

Solve for x.

-4(x - 5 ) = 60

Step 1 :- Distribute -4.

-4 × x - 4 × -5 = 60

-4x + 20 = 60

Step 2 :- Move constant to the right-hand side and change their sign.

-4x = 60 - 20

Step 3 :- Subtract 20 from 60.

-4x = 40

Step 4 :- Divide both side by -4.

[tex] \frac{ - 4x}{ - 4} = \frac{40}{ - 4} \\ [/tex]

Hence , x = 10

Answer:

Step-by-step explanation:

Total cost of plant:

Greg makes total of:

Since Greg mare than cost, he has a profit and the amount is:

Answer:

A equação da reta é dada por: [tex]y = \frac{2}{3}x - \frac{4}{3}[/tex]

Step-by-step explanation:

Equação de uma reta:

A equação de uma reta tem o seguinte formato:

[tex]y = ax + b[/tex]

Em que a é o coeficiente angular e b é o coeficiente linear.

Coeficiente angular:

Com posse de dois pontos, o coeficiente angular é dado pela mudança em y dividida pela mudança em x.

A(-1, -2) e B(5,2)

Mudança em y: 2 - (-2) = 2 + 2 = 4

Mudança em x: 5 - (-1) = 5 + 1 = 6

Coeficiente angular: [tex]m = \frac{4}{6} = \frac{2}{3}[/tex]

Então:

[tex]y = \frac{2}{3}x + b[/tex]

Coeficiente linear:

Substituindo um ponto na equação, encontra-se o coeficiente linear.

B(5,2)

Quando [tex]x = 5, y = 2[/tex]. Então:

[tex]y = \frac{2}{3}x + b[/tex]

[tex]2 = \frac{2}{3}5 + b[/tex]

[tex]b = 2 - \frac{10}{3} = \frac{6}{3} - \frac{10}{3} = -\frac{4}{3}[/tex]

Então:

[tex]y = \frac{2}{3}x - \frac{4}{3}[/tex]

Answer:

Step-by-step explanation:

“the center of the ellipse is located below the given co-vertex”

Co-vertex and center are vertically aligned, so the ellipse is horizontal.

Equation for horizontal ellipse:

(x-h)²/a² + (y-k)²/b² = 1

with

a² ≥ b²

center (h,k)

vertices (h±a, k)

co-vertices (h, k±b)

foci (h±c,k), c² = a² -b²

One co-vertex is (-8,9), so h = -8.

One focus is (4,4), so k = 4.

Center (h,k) = (-8,4)

c = distance between center and focus = |-8 - 4| = 12

b = |9-k| = 5

a² = c² + b² = 169

(x+8)²/169 + (y-4)²/25 = 1

Answer:

x ≈ 8.8

Step-by-step explanation:

Using the sine ratio in the right triangle

sin20° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{PQ}{OQ}[/tex] = [tex]\frac{3}{x}[/tex] ( multiply both sides by x )

x × sin20° = 3 ( divide both sides by sin20° )

x = [tex]\frac{3}{sin20}[/tex] ≈ 8.8 ( to the nearest tenth )

Answer:

-4

Step-by-step explanation:

bc it is

.......................

Answer:

All real numbers

Step-by-step explanation:

2x+8x=10x​

10x = 10x

Answer:

Step-by-step explanation:

∠1 = 38    {Vertically opposite angles}

∠2 = 39 + 36 = 75

Exterior angle equals the sum of opposite interior angles.

x = ∠1 +∠2        

 = 38 + 75

x = 113

Answer:

(12/39) * (12/39) or 16/169

Step-by-step explanation:

Answer:

2One-fifteenth

Step-by-step explanation:

[tex]3\frac{13}{15} - 1\frac{4}{5}[/tex]

[tex]2\frac{13 - 12}{15}[/tex]

2 [tex]\frac{1}{15}[/tex]

Answer:

500 square root and 18 metres

Answer:

1:  50 - (3(3) + 5.5(4))=x

2: okay so we know how much books are brought and how much each cost.

In this case paper backs are 3 dollars each and cost 3 dollars each. So 3 (3) is 9 dollars. The next scenario are hardbacks which are 5.50 each and Tom brought 4 of them. So that makes it 5.5(4) which is 22 dollars. So the total would be 9+22 which is 31 dollars. The question asks for change from a 50 dollar bill which you subtract and 50-31=19

The change would be 19 dollars

Step-by-step explanation:

The answer to the question is 3

Answer:

3

Step-by-step explanation:

1 + X = 4

4 - 1 = X

3 = X

Answer:

Step-by-step explanation:

The standard vertex form of a quadratic (which is what your graphs are) is

[tex]y=(x-h)^2+k[/tex] where h and  are the coordinates of the vertex. The vertex is really all we need to fill in this equation. Looking at the blue graph, the vertex is located at (-4, 1), so h = -4 and k = 1. Filling in the equation:

[tex]y=(x-(-4))^2+1[/tex] which simplifies down to

[tex]y=(x+4)^2+1[/tex]. It's that simple.I think that's choice C (I'm not sure; it's very tiny!)

Answer:

D) 144π sq. units

Step-by-step explanation:

The formula for finding the surface area of a sphere is 4π

Substitute 6 in for r.  4π = 144π

Answer:

144π sq. units

Step-by-step explanation:

The formula to determine the surface area of a sphere is: 4πr^2

But there’s no digit of pi given. Therefore we will use the formula but ignoring pi:

4πr^2

= 4r^2

= 4(6^2)

= 4(36)

= 144

Surface area is measured in square units.

Therefore the answer is 144π. The answer will be the true answer surface area once we know what π to use. For now, π will be just a variable next to 144 and will be later multiplied to it.

I hope you understand this! Hope I helped!

Cubic centimetres since they are cubes. Did you add any picture of the question? There seems to be none.

Answer:

17.9375 square yards

Step-by-step explanation:

Let us have a common unit

What we have here is the case of inches and ft

10 ft 3 inches

1 ft = 12 inches

so 3 inches is 3/12 = 0.25 ft

= 10+0.25 = 10.25 ft

15 ft 9 in

= 15 + 9/12 = 0.75 + 15 = 15.75 ft

So let us convert to yards ;

Mathematically, 3 ft = 1 yard

so 10.25 ft = 10.25/3 = 3.4167 yards

15.75 ft = 15.75/3 =5.25 yards

So the square yards would be the product of this two;

which is;

(10.25/3) * (15.75/3) = 17.9375 square yards

Step-by-step explanation:

1/3*12=1/4

1/4=1/4

=1/4÷1/4

=0 answer

Answer:

[tex]JL=54[/tex]

Step-by-step explanation:

We are given that K is the midpoint of JL. Using this information, we want to find JL.

By the definition of midpoint, this means that:

[tex]JK=KL[/tex]

Substitute them for their equations:

[tex]8x+11=14x-1[/tex]

Solve for x. Subtract 8x from both sides:

[tex]11=6x-1[/tex]

Add 1 to both sides:

[tex]6x=12[/tex]

And divide both sides by 6. Hence:

[tex]x=2[/tex]

JL is the sum of JK and KL. Hence:

[tex]JK+KL=JL[/tex]

Since JK = KL, substitute either one for the other:

[tex]JK+(JK)=2JK=JL[/tex]

Substitute JK for its equation:

[tex]2(8x+11)=JL[/tex]

Since we know that x = 2:

[tex]2(8(2)+11)=2(16+11)=2(27)=54=JL[/tex]

Thus:

[tex]JL=54[/tex]

Answer:

x = (4,0)

y = (0,5)

Step-by-step explanation:

5x + 4y = 20

5(0) + 4y = 20

(4y ÷ 4) = (20 ÷ 4)

y = 5

5x + 4(0) = 20

(5x ÷ 5) = (20 ÷ 5)

x = 4

x = (4,0)

y = (0,5)