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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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Which number line models the sum of 1+(−2) correctly?
Tomtit [17]

Answer:

option 3

Step-by-step explanation:

you add one, so the arrow goes one space to 1

since youre sutracting -2, the arrow goes ack two spaces to -1

7 0
3 years ago
there are 104 red candies in a candy machine. this represents 26% of the candy in the machine. how many total are in the candy m
Alborosie

There are 400 candies in the machine.

Step-by-step explanation:

Given,

Number of red candies in machine = 104

This represents 26% of the total candies.

Let,

x be the total candies in the machine.

According to statement;

26% of x = 104

\frac{26}{100}*x=104\\0.26x=104

Dividing both sides by 0.26

\frac{0.26x}{0.26}=\frac{104}{0.26}\\x=400

There are 400 candies in the machine.

Keywords: percentage, division

Learn more about percentages at:

  • brainly.com/question/317697
  • brainly.com/question/317616

#LearnwithBrainly

6 0
3 years ago
Find the value of:
DENIUS [597]
Plug x and y when you type in the calculator
2-2(2+3) and see your answer
8 0
3 years ago
The spinner at the right is divided into eight equal parts. Find the theoretical probability of
finlep [7]

Answer:

\frac{3}{4} probability of landing on a number greater than 2 on the spinner.

Step-by-step explanation:

A theoretical probability is given by the number of desired outcomes divided by the number of total outcomes.

In this question:

8 possible outcomes(all numbers from 1 to 8).

6 desired outcomes(3, 4, 5, 6, 7 and 8, that is, all the numbers greater than 2). So

p = \frac{6}{8} = \frac{3}{4}

\frac{3}{4} probability of landing on a number greater than 2 on the spinner.

4 0
3 years ago
A grandmother says her grandson is two years older years older than her ganddaughter and that together , they are at least 12 ye
suter [353]
 let x represent granddaughter and x +2 for grandson and together they = 12
 so then we have the equation of x+2+x = 12
 combine like terms 2x +2 =12
-2 from both sides to isolate x
2x=10  divide both sides by 2 to get x by itself 
so we get x = 5 then add 2 +5=7 
so grandson is 7 and granddaughter is 5
5 0
3 years ago
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