The polynomial 10x3 + 35x2 − 4x − 14 is factored by grouping.10x3 + 35x2 − 4x − 14
5x2(____) − 2(____)
What is the common factor that is missing from both sets of parentheses?
−2x − 7
2x + 7
−2x2 + 7
2x2 + 7
Answers
10x^3 + 35x^2 - 4x - 14 = 5x^2 * (2x + 7) - 2 * (2x + 7)
The correct result would be 2x + 7.
The common factor that is missing from both sets of parentheses is 2x + 7
How to determine the missing factor
To determine the missing factor, we would divide 10x³ + 35x² − 4x− 14 by 5x² – 2 using long division method as illustrated below
2x + 7
5x² – 2|10x³ + 35x² − 4x − 14
–(10x³ – 4x)
35x² – 14
–(35x² – 14)
0
The result obtained from the division is 2x + 7.
Therefore, the missing factor is 2x + 7
Check
(5x² – 2)(2x + 7) = 5x²(2x + 7) – 2(2x + 7)
Learn more about polynomial:
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B. 2.56 m
C. 3.18 m
D. 0.31 m
Answers
Answer:
A. 1.59 m
Step-by-step explanation:
To find the radius of the area we wil; simply use the formula; C = 2π R
where C is the circumference of the circle, π is a constant that is always 3.14 approximately, except given otherwise and R is the radius.
From the question, since the circle is formed by roping off a rope 10 m long, then it implies that the circumference (c) = 10
We can now proceed to substitute our values into the formula;
C = 2π R
10 ≈ 2×3.14×R
10 ≈ 6.28R
Divide both-side of the equation by 6.28
(At the right-hand side of the equation 6.28 will cancel-out 6.28 leaving us with just R while at the left-hand side of the equation, 10 will be divided by 6.28)
1.592≈R
R≈1.59 m
Therefore, the radius of this area will be 1.59 m
Hope this helps.
B) $0.2
C) –$0.2
D) $0.8
Answers
The new expected value is $0.8 if the auction house sold 200 tickets at $1 and had 16 prizes of $10 each.
What is expected value?
It is value which is calculated in the present but expect to come in future also.
How to calculate the expected value?
The expectedvalue will be calculated as under:
Value on 16 prizes=200/160=1.25
Expected value will be =(200+160)/1.25/160
=200.8
So the value expected will be $0.8.
Learn more about expected value at brainly.com/question/10675141
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200+160=360/1.25/160=200.8
so your answer is 0.8
Answers
10000000 ≈ 1458258211769
Option B: Increase the amount of money they save each month by $80 from what they've been saving.
Which of the following is a true statement?
a.
Only option A will allow them to meet their goal.
b.
Only option B will allow them to meet their goal.
c.
Both options A and B will allow them to meet their goal.
d.
Neither option A nor option B will allow them to meet their goal.
Please select the best answer from the choices provided
A
B
C
D
Answers
Answer:
d
Step-by-step explanation:
Answers
principal 15,000
term 9 years
rate 8.5%
Interest = Principal * Interest Rate * Term
I = 15,000 * 8.5% * 9
I = 11,475
Total = 15,000 + 11,475 = 26,475 on date of maturity
Interest = 15,000 * 8.5% * 2
I = 2,550
Total = 15,000 + 2,550 = 17,550
amount withdrawn = 4,000
Penalty = 4,000 * 8.5 % * 6/12
P = 170
Net amount = 17,550 - 4,000 - 170 = 13,380
I = 13,380 * 8.5% * (8-2)
I = 6,823.80
Total = 13,380 + 6,823.80 = 20,203.80 total amount on maturity.
Answers
4(1+1+7) -2(1) +8-4
4(9)+2
38
4(x+x+7)-2x+8-4 X=2
4(2+2+7) -2(2)+4
4(11)-4+4
44
Answer:
44
Step-by-step explanation:
So if we do 4(x+x+7)-2x+8-4 X=1
then 4(1+1+7) -2(1) +8-4
and 4(9)+2
it would be 38
then if we do 4(x+x+7)-2x+8-4 X=2
and 4(2+2+7) -2(2)+4
also 4(11)-4+4 it would be 44