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defon
3 years ago
13

Evaluate f(x)=3x*3+8x*2+5x-7 for remainder theorem

Mathematics
1 answer:
Mars2501 [29]3 years ago
3 0

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : 

                     x-(3*x^3+8*x^2+5*x-7)=0 

Step by step solution :<span>Step  1  :</span><span>Equation at the end of step  1  :</span><span><span> x-((((3•(x3))+23x2)+5x)-7) = 0 </span><span> Step  2  :</span></span><span>Equation at the end of step  2  :</span><span> x - (((3x3 + 23x2) + 5x) - 7) = 0 </span><span>Step  3  :</span><span>Step  4  :</span>Pulling out like terms :

<span> 4.1 </span>    Pull out like factors :

  <span> -3x3 - 8x2 - 4x + 7</span>  = 

 <span> -1 • (3x3 + 8x2 + 4x - 7)</span> 

Checking for a perfect cube :

<span> 4.2 </span>  <span> 3x3 + 8x2 + 4x - 7</span>  is not a perfect cube 

Trying to factor by pulling out :

<span> 4.3 </span>     Factoring: <span> 3x3 + 8x2 + 4x - 7</span> 

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1: <span> 3x3 - 7</span> 
Group 2: <span> 8x2 + 4x</span> 

Pull out from each group separately :

Group 1: <span>  (3x3 - 7) • (1)</span>
Group 2: <span>  (2x + 1) • (4x)</span>

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I don't understand this one plz help before sunday.(Thank may God bless you and back the blue)
Makovka662 [10]

Answer:

2/3(3/4x-3/2) = 1/2x-1

(2x+1) - (x+3/2) = x - 1/2

Step-by-step explanation:

1) Distribute 2/3 to both 3/4x and -3/2

2/3(3/4x) = 6/12x which can be simplified as 1/2x

2/3(-3/2) = -6/6 which simplifies to -1

2/3(3/4x-3/2) = 1/2x-1

2) (2x+1) - (x+3/2) combine like terms

2x-x = x

1 - 3/2= 1- 1 1/2 ( change 3/2 into an improper fraction. 2 goes into 3 one time with one left over. Place the “leftover” back on top of the original denominator of 2)

1- 1 1/2 = -1/2, so

(2x+1) - (x+3/2) = x - 1/2

8 0
3 years ago
What is the value of y in the triangle
Scrat [10]

Answer:

y ≈ 6.7

Step-by-step explanation:

Using the sine ratio in the right triangle

sin26.5° = \frac{opposite}{hypotenuse} = \frac{y}{15} ( multiply both sides by 15 )

15 × sin26.5° = y , then

y ≈ 6.7 ( to 1 dec. place )

5 0
3 years ago
The sum of 3 consecutive odd numbers is 177. What is the value of the smallest number in the sequence
riadik2000 [5.3K]

Ok this is a very question that can solved very easily. So we know that there three numbers, and they are consecutive, this means that they are all one bigger than the number before so for example 1,2, and 3 or 20, 21, and 22. These numbers are called consecutive. Now let's just pretend that the answer to this question is the variable "x". Now x is the smallest number in all the three numbers.

Using our knowledge of consecutive numbers we can say that the next to numbers will be one more than the number before so:

(x+1) and (x+2)

So we have our three numbers: x , x+1 , and x+2. Now let's set these numbers equal to 177.

177 = x + x + 1 + x + 2 → Combine like terms.

177 = 3x + 3 → Subtract 3 from both sides.

174 = 3x → Divide both sides by 3

58 = x

So that means that our first and smallest number is going to be 58 our second number will be +1 so 59 and our third number will be +2 so 60.

So the three numbers will be 58, 59, and 60.

Hope this helped.

4 0
3 years ago
X= What does ×= 88, 89 or 90
olganol [36]
The answer should be 88
6 0
3 years ago
Help me out i would appreciate it
Mariulka [41]

Step-by-step explanation:

find the area of the rectangle

then surface area=.......

then subtract by the volume of rectangle by the other one

7 0
3 years ago
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