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trasher [3.6K]
3 years ago
7

Combine the like terms to create an equivalent expression -k-(-8k)

Mathematics
1 answer:
Blababa [14]3 years ago
5 0

Answer:

-k+8k=7k is the solution

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Find the points on the curve y = 2x3 + 3x2 − 12x + 6 where the tangent line is horizontal.
Orlov [11]
N.b., this is copied from an answer I wrote for someone else.

Thinking about the graph of y, the rate of change is zero whenever there is an extremum.

First, differentiate y.

y'=6x^2+6x-12

Next, find the zeros of y' by factoring.

6(x^2+x-2)=0 \\ x = -2, x = 1

Now, we substitute these x-values into the original equation to find the coordinates. 

(-2,21), (1,-6)
3 0
3 years ago
Which two steps could be taken to simplify the expression y/3 + 2 = 11?<br>​
IRINA_888 [86]

Answer:

y = 27

Step-by-step explanation:

y/3 + 2 = 11

First subtract 2 from each side

y/3 + 2-2 = 11-2

y/3  = 9

Then multiply each side by 3

y/3 *3 = 9*3

y = 27

8 0
2 years ago
Read 2 more answers
The heights of North American women are nor-mally distributed with a mean of 64 inches and a standard deviation of 2 inches. a.
serious [3.7K]

Answer:

0.1587

Step-by-step explanation:

Given the following :

Mean (m) of distribution = 64 inches

Standard deviation (sd) of distribution = 2 inches

Probability that a randomly selected woman is taller than 66 inches

For a normal distribution :

Z - score = (x - mean) / standard deviation

Where x = 66

P(X > 66) = P( Z > (66 - 64) / 2)

P(X > 66) = P(Z > (2 /2)

P(X > 66) = P(Z > 1)

P(Z > 1) = 1 - P(Z ≤ 1)

P(Z ≤ 1) = 0.8413 ( from z distribution table)

1 - P(Z ≤ 1) = 1 - 0.8413

= 0.1587

5 0
3 years ago
The population of a town has approximately doubled every 17 years since 1950. If the equation P=Po2k, where Po is the population
natka813 [3]

The population of a town has approximately doubled every 17 years since 1950.

the equation P=P_02^k where Po is the population of the town in 1950, is used to model the population, P, of the town t years after 1950.

When t=17 yrs

   P=2p_{0}      

for 1 year

The equation becomes

P = P_02^\frac{t}{17}                               -------------(1)

Our original equation is

P=P_02^k----------------------------------(2)

equating expression 1  and 2

P_02^\frac{t}{17}=P_{0}2^k

Cancelling P_{0}  from both sides  we get

2^\frac{t}{17}=2^{k}

t/17=k

⇒k=t/17 is the solution.






4 0
3 years ago
List the first 5 mutiplies of 6 9 and 7
NeX [460]
For 6: 12, 18, 24, 30, 36
For 9: 18, 27, 36, 45, 54
For 7: 14, 21, 28, 35, 42
7 0
2 years ago
Read 2 more answers
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