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elixir [45]
3 years ago
14

30w^3 -6w --------------- 6w

Mathematics
2 answers:
7nadin3 [17]3 years ago
7 0
\frac{30w^3-6w}{6w} = \frac{6w(5w^2-1)}{6w}  =5w^2-1
OLga [1]3 years ago
6 0
First simplify the numerator by dividing by the greatest common factor 3w^3-6w= 6w(5w^2-1) _________________________ 6w the 6w can be divided in the numerator and denominator and cancel out= 5w^2-1 hope this helps
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Find the value of p in the figure below.
nirvana33 [79]

From the chord theorem we have:

4\cdot4.5=6\cdot(2p-3)\\\\18=12p-18\\\\12p=18+18\\\\12p=36\qquad|:12\\\\\boxed{p=3}

6 0
3 years ago
2: A bag contains 5 black counters, 4 blue counters, and
drek231 [11]

Answer:

The probability that the counter  was blue is \mathbf{\frac{2}{5}}

Step-by-step explanation:

Number of black Counters = 5

Number of blue Counters = 4

Number of white Counters = 1

We need to write down the probability that the counter  was blue.​

First find Total Counters

Total Counters = Number of black Counters + Number of blue Counters + Number of white Counters

Total Counters = 5+4+1

Total Counters = 10

Now, we need to find probability that the counter taken was blue

The formula used is:

Probability= \frac{Number\:of\:favourable\:outcomes}{Total\:outcomes}

There are 4 blue counters in the back, so Favourable outcomes = 4

Probability= \frac{Number\:of\:favourable\:outcomes}{Total\:outcomes}\\Probability= \frac{4}{10}\\Probability= \frac{2}{5}

The probability that the counter  was blue is \mathbf{\frac{2}{5}}

5 0
2 years ago
In a cave, a stalactite gets 44 millimeters longer each year. this year it is 72 centimeters long. how many years until it is 1
iragen [17]

Answer:

6.36 years (the .36 repeats), so rounded is 6.4.

Step-by-step explanation:

First, I'm going to convert all measurements to meters.

Since 1000 mm = 1 m, divide 44 by 1000.

44/1000 = 0.044 m

Since 100 cm = 1 m, divide 72 by 100.

72/100 = 0.72 m

Next, I'm going to setup an equation using y = mx + b.

b is the beginning amount which is 0.72.

m in the equation represents the rate which is 0.044.

y represents the total which is 1.

Plugin the numbers and solve for x.

1 = 0.044x + 0.72

1 - 0.72 = 0.044x + 0.72 - 0.72

0.28 = 0.044x

0.28/0.044 = 0.044x/0.044

6.36 = x

7 0
2 years ago
XY=4x+7 and YZ=8x-1, Find XY
laiz [17]

Answer:

XZ = 12x + 6

Step-by-step explanation:

XZ = XY + YZ

XZ = <u>4x</u> + 7 + <u>8x</u> - 1

XZ = 12x + 6

5 0
3 years ago
Question 2 (Essay Worth 10 points)
Soloha48 [4]

Answer:

Account A: Decreasing at 8 % per year

Account B: Decreasing at 10.00 % per year

Account B shows the greater percentage change

Step-by-step explanation:

Part A: Percent change from exponential formula

f(x) = 9628(0.92)ˣ

The general formula for an exponential function is

y = ab^x, where

b = the base of the exponential function.

if b < 1, we have an exponential decay function.

ƒ(x) decreases as x increases.

Account A is decreasing each year.

We can rewrite the formula for an exponential decay function as:

y = a(1 – b)ˣ, where

1 – b = the decay factor

b = the percent change in decimal form

If we compare the two formulas, we find

0.92 = 1 - b

b = 1 - 0.92 = 0.08 = 8 %

The account is decreasing at an annual rate of 8 %.The account is decreasing at an annual rate of 10.00 %.

Account B recorded a greater percentage change in the amount of money over the previous year.

5 0
2 years ago
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