MATHEMATICS HIGH SCHOOL

Solve for x: 5|2x − 2| + 8 = 18.x = 2, x = −2

x = −2, x = 0

x = 2, x = 0

x = 0, x = 1 over 2

Answers

Answer 1
Answer: 5|2x-2|+8=18
5|2x+2|=10
|2x+2|=2
by removing the absolute and but + or -
(2x+2) = 2 & (2x+2)=-2
so , x = 0 & x=-2
so it is the second answer

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Find the inverse function of g(x) = 2x + 4.g -1(x) = 4x + 2
g -1(x) = 2x + 1/2
g -1(x) = 1/2 x - 2
g -1(x) = 2x - 4

Answers

Answer:

g^(-1)(x)=(1)/(2)x-2

Step-by-step explanation:

First, let's rename this as y = 2x + 4.

In order to find the inverse, switch the x and the y, then solve for the new y.

x = 2y + 4 so

2y = x - 4 and

y=(1)/(2)x-2

Putting it back into function notation:

g^(-1)(x)=(1)/(2)x-2

An ice chest contains cans of apple juice, cans of grape juice, cans of orange juice, and cans of mango juice. Suppose that you reach into the container and randomly select three cans in succession. Find the probability of selecting three cans of juice.

Answers

Answer:

4.9%

Step-by-step explanation:

This question is incomplete. However; it can be found on search engines. The complete question is  as follows :

An ice chest contains cans of six apple juice, eight cans of grape juice, four cans of orange juice, and two cans of mango juice. Suppose that you reach into the container and randomly select three cans in succession. Find the probability of selecting three cans of grape juice.

Solution :

In an ice chest there are different cans of juice. Among them

Number of cans of apple juice = 6

Number of cans of grape juice = 8

Number of cans of orange juice = 4

Number of cans of mango juice = 2

Total number of cans of juice = 6 + 8 + 4 + 2 = 20

Let A, B and C are the event of selecting of three cans.  The events A, B and C are dependent.

Probability of selecting three cans of juice

P = \frac{\text{number of grape cans}}{\text {total number of cans}}

P (A) = (8)/(20)

P (B) = (7)/(19)

P (B) = (6)/(18)

P = (8)/(20) × (7)/(19) × (6)/(18)

  = (336)/(6840)

  = 0.049 or 4.9%

Probability of selecting three cans of grape juice is 4.9%

In which quadrant is the number –14 – 5i located on the complex plane?I
II
III
IV
In which quadrant is the number –14 – 5i located on the complex plane? I II III IV

Answers

Answer:

III

Step-by-step explanation:

go 14 left and 5 down, and you're in the third quadrant

Answer:

III (Third quadrant)

Step-by-step explanation:

Okay, in terms of complex numbers, the x axis is the imaginary scale while the y axis is the real scale. And this works just like a normal x and y axis! We can break down -14-5i into -5i and -14, and -5i is the imaginary number on the x axis, so we move five units to the left from the origin. -14 is the real number, so we then move down 14 units, and we end up with a coordinate that is in the III, or third, quadrant.  Hope this helps! :)

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Answers

Answer:

Like Terms

Definition:

Terms that have identical variable parts (same variable(s) and same exponent(s)). When simplifying using addition and subtraction, you combine “like terms” by keeping the "like term" and adding or subtracting the numerical coefficients.

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Answers

Alex usually runs for 21 hours a week.  We know that there are 7 days in a week.  21/7 = 3, which means that Alex runs for 3 hours each day.

We are trying to figure out how much time he loses if he is unable to run for three days.  3 * 3 = 9.  This means he loses 9 hours of training while he is unable to run.
Assuming he runs the same number of hours per day, then he runs 3 hours per day (21/7). 
If he runs 3 hours a day, then in 3 days he would have ran 9 hours (3*3). 

He loses 9 hours of training if he doesn't run for 3 days.

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Answers

you must isolate the x in order you must divide both of each sides of the inequality  by the other variable or coefficients.
Here, x > 7 itself is a solution. It represents x must be less than the 7

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