*Really need help* 1) How is solving | x+2 |= 0 different from solving | x+2 | ≥ 0?

a. The equation |x+2|=0 will have one solution and the inequality |x+2|≥0 will have a range of solutions.
b. There is no difference as they both will have only one solution.
c. The equation |x+2|=0 will have two solutions and the inequality |x+2|≥0 will have a range of solutions.
d. There is no difference as they are both absolute values.

2) Translate the following phrase into an absolute value equation.
The absolute value of the sum of x and 5 is 3.

a. x+5 = 3
b. | x−5 | = 3
c. x−5 = 3
d. | x+5 | = 3

3) Translate the following phrase into an absolute value equation: The absolute value of the difference of x and 7 is 6.

a. x−7 = 6
b. | x+7 | = 6
c. | x−7 | = 6
d. x+7 = 6

4) Does the graph of f (x) = |x| have a maximum on the interval [ −24, 3 ]? State the maximum, if possible, and justify your response.

a. The graph attains a maximum value of 0. This is because f(x) is increasing on [−24, 0) and decreasing on (0, 3], so its maximum value must occur at x=0.
b. The graph attains a maximum value of 3. This is because f(x) is decreasing on [−24, 0) and increasing on (0, 3], so its maximum value must occur at either x=−24 or x=3. Since f(3)>f(−24), the maximum occurs at x=3.
c. The graph does not attain a maximum value. This is because the range of f(x) is [0, ∞), which means that there is no upper limit to the value that f(x) can take for any given x.
d. The graph attains a maximum value of 24. This is because f(x) is decreasing on [−24, 0) and increasing on (0, 3], so its maximum value must occur at either x=−24 or x=3. Since f(−24)>f(3), the maximum occurs at x=−24.

the answer is d

step-by-step explanation:

y+3=-4(x-2)

y+3=-4x+8

  -3         -3  

y=-4x+5

the most boring thing ever written

step-by-step explanation:

i am writing something. yes, i plan to make it the most boring thing ever written. i go to the store. a car is parked. many cars are parked or moving. some are blue. some are tan. they have windows. in the store, there are items for sale. these include such things as soap, detergent, magazines, and lettuce. you can enhance your life with these products. soap can be used for bathing, be it in a bathtub or in a shower. apply the soap to your body and rinse. detergent is used to wash clothes. place your dirty clothes into a washing machine and add some detergent as directed on the box. select the appropriate settings on your washing machine and you should be ready to begin. magazines are stapled reading material made with glossy paper, and they cover a wide variety of topics, ranging from news and politics to business and stock market information. some magazines are concerned with more recreational topics, like sports card collecting or different kinds of hairstyles. lettuce is a vegetable.

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

this would be 35. 35 + 5 = 40. you take the known constant and subtract by the answer of the equation and you get y.