Write an equation for the translation of y=2/x with the given asymptotes. X=1 y=-1

If (1)=0, what are all the roots of the function f(x)=x3+3x2-x-3?use the remainder theorem

Anon25 [30]

If $f(1)=0$ , then by the remainder theorem $\dfrac{f(x)}{x-1}$ has a remainder of 0, which means $f(x)$ is divisible by $x-1$ . In fact,

$x^3+3x^2-x-3=x^2(x+3)-(x+3)=(x^2-1)(x+3)=(x-1)(x+1)(x+3)$

So we know 1 is a root, and the other two roots are -1 and -3.

6 0

2 years ago

Use the slope formula to find the slope of the line that passes through the given points .

Nataly_w [17]

Answer:

4. 1/2. 3. -4/5

Step-by-step explanation:

8 0

2 years ago

A ball of radius 17 has a round hole of radius 7 drilled through its center. Find the volume of the resulting solid.

Ahat [919]

Answer:

Step-by-step explanation:

Volume of the ball (spherical in nature) Vb = 4/3πrb³

Volume of the hole Vh = 4/3πrh³

rb is the radius of the ball

rh is the radius of the hole

If a ball of radius 17 has a round hole of radius 7 drilled through its center, the volume of the resulting solid will be expressed as:

V = Vb - Vh

V = 4/3πrb³ - 4/3πrh³

factor out the like terms;

V = 4/3π(rb³-rh³)

Given

rb = 17

rh = 7

V = 4/3π(17³-7³)

V = 4/3π(4913-343)

V = 4/3π(4570)

V = (4π*4570)/3

V = 57,399.2/3

V = 19,133.067

Hence the volume of the resulting solid is 19,133.067

6 0

2 years ago

A Girl Scout camp served half of their granola with breakfast. After dinner, they put the remaining 6{,}250 \text{ g}6,250 g6, c

Iteru [2.4K]

Answer:

12.5 kilograms

Step-by-step explanation:

Given:

Half of the granola served with breakfast.

Let the amount of Granola present initially = $x$ kg

Half of it ( $\frac{x}{2}$ ) served with breakfast, so remaining granola :

$x-\dfrac{x}{2} = \dfrac{x}{2}$

After dinner, the remaining granola 6,250 gm granola was served with yogurt dessert.

First of all, let us convert it to kilogram because the answer is required in Kilograms.

We know that:

1000 gms = 1 kilograms

1 gms = 0.001 kilograms

6250 gms = 6250 $\times$ 0.001 = 6.250 kilograms

Now, as per given question statement:

$\dfrac{x}{2} = 6.250\ kg\\\Rightarrow x = 2 \times 6.250\\\Rightarrow \bold{x = 12.5\ kg}$

So, the answer is:

Girl scout camp started with 12.5 Kilograms of granola.

5 0

2 years ago

Help I don't understand,

antoniya [11.8K]

In the drawing the base picture shows two squares on next to each other

The side picture shows three squares, one next to other and one above the square that right most.

The front picture shows two one square above other square.

The three dimensional figure that corresponds to those three view is a set of three boxes two in the base and one above one of the boxes of the base.

5 0

3 years ago