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ruslelena [56]
3 years ago
11

9. (04.03 LC)

Mathematics
1 answer:
notka56 [123]3 years ago
3 0

Answer:

f(2)=0. The third option is correct.

Step-by-step explanation:

Suppose we have a polynomial called f(x) and we know (x-2) is a factor of f. This means that we can express f(x) as:

f(x)=(x-2)\cdot g(x)

Being g(x) another unknown function.

Option 1: f(0)=(0-2)\cdot g(0)=-2\cdot g(0). Since we don't know the value of g(0), we cannot assure f(0)=-2. Incorrect

Option 2: f(-2)=(-2-2)\cdot g(-2)=-4\cdot g(-2). Since we don't know the value of g(-2), we cannot assure f(-2)=0. Incorrect

Option 3: f(2)=(2-2)\cdot g(2)=0\cdot g(0)=0. Regardless of the value of g(0), f(0) must be 0. Correct

Option 4: f(0)=(0-2)\cdot g(0)=-2\cdot g(0). Since we don't know the value of g(0), we cannot assure f(0)=2. Incorrect

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OLga [1]

Answer:

x=1/4y

Step-by-step explanation:

Step 1: You flip the equation

4x=y


Step 2: Divide both sides by 4


4x/4 = y/4


x=1/4y

8 0
3 years ago
A plastic ball is filled with gel to make a stress ball. If the ball has a radius of 4 cm, how much
Dafna1 [17]

Answer:

267.947 cm^{3} of gel is required to fill the plastic ball.

Step-by-step explanation:

<em>The radius of the ball is given as 4 cm.</em>

<em>The gel is filled in the plastic ball, that means the gel occupies the volume of the radius.</em>

The volume of the sphere is given by the formula,

V = \frac{4}{3}(\pi)R^{3} , the R is the radius of sphere.

V = \frac{4}{3}(\pi)(4)^{3} = 267.947 cm^{3}

Thus, the volume of gel required to fill the plastic ball to make it stress ball is

267.947 cm^{3} of gel.

3 0
3 years ago
Here is the question !
Delvig [45]

Answer:

Step-by-step explanation:

Co-ordinates of F, G and H are:

F (-4, 5)

G (1, 10)

H (-9, 10)

You can find the lengths of sides by using the distance formula:

<em>length</em>(FG) = \sqrt{(x_{2}-x_{1})^{2} + (y_{2}-y_{1})^{2}} = \sqrt{(1-(-4))^{2} + (10-5)^{2}} = 5\sqrt{2} units

Similarly,

<em>length</em>(GH) = 10 units

<em>length</em>(HF) = 5\sqrt{2} units

Hence, perimeter will be:

P = <em>length</em>(FG) + <em>length</em>(GH) + <em>length</em>(HF) = 10(\sqrt{2} + 1) units

3 0
3 years ago
Help please I don't know this I'm a 5th grader. help please anybody
Arte-miy333 [17]
He switched the 5 and 6 into different places
4 0
3 years ago
Read 2 more answers
Find the domain and range of radical function
Tju [1.3M]

The radical function is 3√x + 1.

Since the cubic root of zero is zero, 0 would be x.

Add zero and one, which gives you 1. 1 is y.

You get (0,1)

Since this is a positive radical, it would be going to the top right.

So, the domain is x ≥ 0

the range is y ≥ 1

8 0
3 years ago
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