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AveGali [126]
3 years ago
11

What is the greatest common factor (gcf) of the numerator and denominator in the rational expression below? 7x+14/2x^2+x-6

Mathematics
1 answer:
Mashutka [201]3 years ago
4 0
The answer is C. The numerator 7x+14 can be factored as 7(x+2). The denominator 2x^2+2x-6 can be factored as (x+2)(2x-3). The greatest common divisor of 7(x+2) and (x+2)(2x-3) is obviously x+2, which is contained in both of the two expressions.
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The diameter of the base of the cone measures 8 units. The height measure 6 units. What is the volume of the cone?
ivolga24 [154]

Answer:

The  volume of the cone is  100.48 units³ approximately

Step-by-step explanation:

To find the volume of a cone with a diameter of 8 unit   and height of 6 units, we will follow the steps below;

first, write down the formula for calculating the volume of a cone

v= πr²\frac{h}{3}

where v is the volume of the cone

r is the radius    and h is the height of the cone

from the question given, diameter d = 8 units  but d=2r    which implies  r=d/2

r=8/2 = 4 units

Hence r= 4 units

height = 6 units

π is a constant and is ≈ 3.14

we can now proceed to insert the values into the formula

v= πr²\frac{h}{3}

v ≈ 3.14 × 4² × 6/3

v  ≈ 3.14 × 16 × 2

v ≈ 100 .48 units³

Therefore the  volume of the cone is  100 .48 units³ approximately

6 0
3 years ago
(3 − 4i)(5 + 2i)<br><br> A. 15 − 8i<br> B. 23 − 14i<br> C. 15 − 8i2<br> D. 15 − 14i − 8i2
choli [55]

Answer:

B.23-14i

Step-by-step explanation:

(3x5)+(3x2i)-(4ix5)-(4ix2i)

15+6i-20i-8(-1)

15+6i-20i+8

23-14iฟ

8 0
3 years ago
Solve the system of equations.<br> 57 - 10x = 45<br> -<br> - 3y + 10x = -5
masha68 [24]

Answer: Step-by-step explanation:

57 - 10x = 45

-10x=-12

x=1.2

- 3y + 10x = -5

-3y+10=-5

-3y=-15

y=5

7 0
3 years ago
Read 2 more answers
80 members decreased by 65%
prisoha [69]
There are now 28 members
all you do is 80 times 0.65 = 52
but you still have to subtract 80 - 52 to find the number of members left 
SOOOO
28 members still there 
52 members quit
7 0
3 years ago
Read 2 more answers
You are given 3 to 1 odds against tossing three tails with three​ coins, meaning you win ​$3 if you succeed and you lose ​$1 if
valentina_108 [34]

Step-by-step explanation:

  • To find the E(X) expected value, you come up with the different probabilities for each outcome
  • your set of outcomes after 3 tosses would be = {HHH, HHT, HTH, THH, HTT, THT, TTH, TTT} where H is heads and T is tails
  • Each element has a probability of 1/8 so let x represent number of tails
  • Probability(x)=P(x)\\P(0)=\frac{1}{8} \\P(1)=\frac{3}{8} \\P(2)=\frac{3}{8} \\P(3)=\frac{1}{8}
  • The E(x)=Summation (x times P(x))
  • E(X)=(0)(0.125)+(1)(0.375)+(2)(0.375)+(3)(0.125)=1.5
  • Now which probability is 1.5 tails? None, so it is either 2 tails or 1 tails
  • So you can expect to lose money in 1 game
  • But as you play more games the probability of getting 3 tails becomes more and more likely, so you can expect to win in a 100 games
8 0
3 years ago
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