MATHEMATICS HIGH SCHOOL

How do you solve |y+9|>4?

Answers

Answer 1
Answer: This is a weird one.  I'm going to work it, but I also want you to look back at the
book or the worksheet and make sure that you copied it correctly.
Because it's weird, I tell you.

| y + 9 | > 4

Subtract 9 from each side of the inequality:

   | y | > -5

OK.  Now, here we go:

'Absolute value' means just the size of the number, no matter whether it's
negative or positive.  So the absolute value of every number is positive.

Got that ?  The absolute value of every number is positive.

So EVERY number is a solution to this inequality.  It doesn't matter what number
' y ' is, its absolute value is always positive.  And if the absolute value is always
positive, then it's definitely always greater than -5 .

Weird ?  I told you so.
Answer 2
Answer: Absolute value means that it doesn't matter if the number in the bars is positive or negative, it still comes out to be a positive number. Since the absolute value of anything greater than -4 added with 9 is greater than 4, one answer is y>-4. Absolute value inequalities and equation often have two answers though, a positive and a negative. And since the absolute value of anything less than -14 plus 9 is greater than 4, the second answer is y<14.

Related Questions

We already have 60\%60%60, percent of the items on our list, her father says. Anastasia sees 121212 items in the cart. How many grocery items are on the list?
Determine whether the sequence converges or diverges. If it converges, give the limit. 108, -18, 3, negative one divided by two, ...
A chef cooked seven kilograms of mashed potatoes for a dinnerparty. If the guests only ate three-quarters of the amount he cooked,how much did they eat?.....................plz hurry up
What are the exact solutions of x^2 = 4 − 7x?
Desiree made 100 cookies this week. She baked 8 more than four times the total she made last week. EQUATION DO NOT SOLVE

since there are 5,280 feet in one mile and 3.3 feet in one meter how many meters per second are equivalent to 60 miles per hour

Answers

60 miles per hour = 26.8 meters per second.

If both figures have the same perimeter, what is the perimeter of each figure? ​

Answers

the perimeter of each figure is 58

Please help with this()

Answers

Answer:

396

Step-by-step explanation:

Margaret drove to a business appointment at 60 mph. Her average speed on the return trip was 50 mph. The return trip took one fifth 1 5 hr longer because of heavy traffic. How far did she travel to the​ appointment?

Answers

She traveled 60 miles to the appointment place.

Step-by-step explanation:

Let the distance to appoint be s and time for appointment trip be t.

The return trip took one fifth hr longer because of heavy traffic.

Time for return trip = t + one fifth hour = (t + 0.2) hr

Speed of appointment trip = 60 mph

Speed of return trip = 50 mph

We have

                  s = 60 t     and

                  s = 50 (t + 0.2)

                   s = 50 t + 10

                   60t = 50 t + 10

                     10 t = 10

                       t = 1 hour

Distance to appointment = 60 t = 60 x 1 = 60 miles

She traveled 60 miles to the appointment place.  

Solve the system of equations. 5x+9y+9z=5 4x+9y+6z=10 2x+2y+5z=9 Answer choices:a. x=116, y=8,z=-21
b. x=82, y=-10, z=9
c. x=-116, y=28,z=37
d. x=6,y=-14,z=1

Answers

5x + 9y + 9z =   5 ⇒ 5x +   9y +   9z =   5
4x + 9y + 6z = 10 ⇒ 4x +   9y +   6z = 10
2x + 2y + 5z =   9     9x + 18y + 15z = 15

5x + 9y + 9z =   5 ⇒ 4x +  9y +   6z = 10
4x + 9y + 6z = 10 ⇒ 2x +  2y +   5z =   9
2x + 2y + 5z =   9     6x + 11y + 11z = 19

9x + 18y + 15z = 15 ⇒ 99x + 198y + 165z = 165
6x + 11y + 11z = 19 ⇒ 90x + 165y + 165z = 285
                                                    9x + 33y = -120

5x + 9y + 9z =   5 ⇒ 5x + 9y + 9z =   5
4x + 9y + 6z = 10 ⇒ 4x + 9y + 6z = 10
2x + 2y + 5z =   9 ⇒ 1x + 0y + 3z = -5

5x + 9y + 9z =   5 ⇒ 4x + 9y + 6z = 10
4x + 9y + 6z = 10 ⇒ 2x + 2y + 5z =   9
2x + 2y + 5z =  9      2x + 7y + 1z =   1

1x + 0y + 3z = -5 ⇒ 1x +   0y + 3z = -5
2x + 7y + 1z =  1 ⇒ 6x + 21y + 3z =  3
                                        -5x - 21y = -8

 9x + 33y = -120 ⇒ 63x + 231y = -840
-5x - 21y =     -8 ⇒ -55x - 231y =   -88
                                             8x = -928
                                              8        8
                                               x = -116
                                   -5x - 21y = -8
                           -5(-116) - 21y = -8
                                 580 - 21y = -8
                               - 580           - 580
                                         -21y = -588
                                          -21      -21
                                              y = 28
                            5x + 9y + 9z = 5
                5(-116) + 9(28) + 9z = 5
                      -580 + 252 + 9z = 5
                                -328 + 9z = 5
                              + 328     + 328
                                           9z = 333
                                            9       9
                                             z = 37
                                   (x, y, z) = (-116, 28, 37)

The answer to the problem is C.

A large pharmaceutical company is trying to determine whether a drug aptly named Recall-Pro can increase your short-term memory capacity. The company prepares a double-blind study as follows:Step 1: A randomly selected pool of individuals is brought to a clinic and is evaluated for any existing health conditions that may impair the results of this experiment.

Step 2: The remaining individuals are split into two groups: a treatment group and a control group.

Step 3: The control group receives a placebo, but neither the researcher nor the individuals know this.

Step 4: The treatment group receives Recall-Pro, but neither the researcher nor the individuals know this.

Which step is flawed in the double-blind study? Why?
A.Step 1; health screening should not eliminate participants from the study
B.Step 2; it does not specify whether the two groups are chosen randomly
C.Step 3; the control group does not receive the placebo
D.Step 4; members of the treatment group should know that they have received the medication

Answers

The best answer to the question that is being stated above would be letter B. Step 2 is the one that is flawed in the double-blind study because it does not specify that the two groups were randomly chosen. It is important to assign the participants randomly so that the results give a non-confounded result.
Other Questions
5.A store manager receives a delivery of 1,200light bulbs. The store manager tests all thelightbulbs and finds that 180 of them are defective.Based on these results, what can the storemanager predict about the next delivery of 1,800light bulbs?
Can someone answer q3
Identify the pattern for the following sequence. Find the next three terms in the sequence.5, 2, -1, -4, ____, ____, ____,... a. Subtract 3; -7, -10, -13 b. Add 3; -7, -10, -13 c. Subtract -3; 7, 10, 13 d. Add 3; 1, 4, 7
Number that is not an irracional number​