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Mama L [17]
4 years ago
9

Given that (x - 2) is a factor of this polynomial, use the Factor Theorem to find the value of a.

Mathematics
1 answer:
IceJOKER [234]4 years ago
8 0
The factor theorem states that if (x-a) is a factor of P(x) the P(a) = 0  so we can write, for this polynomial:

2^(4) - 3(2)^3 + A(2)^2 - 6(2) + 14 = 0

16 - 24 + 4A - 12 + 14 = 0
4A =  -16+24 + 12 - 14 =  6
A = 6/4 = 1.5
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Multiply r2+7r+10/3 by 3r-30/ r2-5r-50
kvv77 [185]
((r²+7r+10)/3) × (3r-30)/(r²-5r=50)
= Factoring the expression (r²+7r+10) we get  (r+2)(r+5)
Then multiply it with the other numerator, we get
= (r+2)(r+5)(3(r-10)
Then we factorise
= (r²-5r-50) = (r+5)(r-10)
Multiplying it with the other denominator, we have;
= 3(r+5)(r-10)
Therefore dividing

(r+2)(r+5)(3(r-10)/(3(r+5)(r-10) we get;
= r+2
Therefore, the correct answer is r+2

7 0
4 years ago
Read 2 more answers
Make r the formula t=r/r-3
Dafna11 [192]
R = dfrac3 t-1 + t. Brainliest please?
7 0
3 years ago
Read 2 more answers
Michael spends an average of $120 per month going out to lunch and dinner. If he can cut that
expeople1 [14]

Answer:

If he spends $120 dollars a month, and he cut's that down to $50 a month, we should create a pattern to visualize the months.

Step-by-step explanation:

120- 50= 70 ($70 saved each month)

Month 1- $70 saved total

Month 2- $140 saved total

Month 3- $210 saved total

Month 4- $280 saved total

Month 5- $350 saved total

Month 6- $420 saved total

It takes 6 months to get 400 saved. We could also divide to get

5.714285, but it would takes 6 months before reaching the goal. :)

6 0
4 years ago
Talia wants to write the equation of the graphed line in point-slope form. These are the steps she plans to use: Step 1: Choose
TEA [102]
Answer:
Steps 3 and 4 are incorrect because
(a) An incorrect value for slope was obtained in step 3.
(b) The incorrect value for the slope was used in step 4.

Explanation:
Let us evaluate Talia's steps.

Step 1: Select (2, 5) as a point on the line.
            CORRECT

Step 2: Select another point (1, 3) on the line.
            CORRECT

Step 3: Count units to the right and count units up, to determine the slope.
            Units right = 2 - 1 = 1
            Units up = 5 - 3 = 2
            Slope = (Units up)/(Units right) = 2/1 = 2
            INCORRECT because Talia did not obtain a slope of 2.

Step 4: Substitute obtained values in the point-slope form.
             (y - y1) = m(x - x1). If we select the point (1, 3), then
            y - 2 = 2(x - 1).
            Talia's equation is INCORRECT because she used an incorrect value
            for the slope.
8 0
3 years ago
Read 2 more answers
HELP! What is the solution to the equation below? Round your answer to two decimal places. 4x = 20 A. x = 2.99 B. x = 0.46 C. x
zheka24 [161]

Answer:

X = 5

Step-by-step explanation:

If 4x = 20

And we are asked to find the solution.

It simply means looking for the value of x

So

4x = 20

X = 20/4

X = 5

X is simply the solution

X = 5

7 0
4 years ago
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