1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Yuki888 [10]
2 years ago
12

1. Solve the compound inequality. You do not need to graph the solution.

Mathematics
1 answer:
soldier1979 [14.2K]2 years ago
7 0

Answer:

9 ≤ x ≤ 7

Step-by-step explanation:

2x – 3 ≤ 11 or –8x – 10 ≤ – 82

We shall determine the value of x in both case.

2x – 3 ≤ 11

Collect like terms

2x ≤ 11 + 3

2x ≤ 14

Divide both side by 2

x ≤ 14/2

x ≤ 7

–8x – 10 ≤ – 82

Collect like terms

–8x ≤ – 82 + 10

–8x ≤ – 72

Divide both side by –8

x ≤ – 72 / –8

x ≥ 9 (since we divided by a negative sign)

9 ≤ x

Combining both answers

x ≤ 7

9 ≤ x

Thus,

9 ≤ x ≤ 7

You might be interested in
PLEASE SOLVE AND CHECK. SHOW COMPLETE SOLUTION
Alex17521 [72]

<u>Solution</u><u>:</u>

\sqrt{4x + 13}  = x + 2

  • First square both sides.

=  > ( \sqrt{4x + 13} ) ^{2}  = (x + 2) ^{2}

  • Now, square root and square gets cancel out in the LHS. And in the RHS, apply the identity: (a + b)² = a² + 2ab + b².

=  > 4x + 13 =  {(x)}^{2}  + 2 \times x \times 2 + (2) ^{2} \\  =  > 4x + 13 =  {x}^{2}   + 4x + 4

  • Now, transpose 4x and 4 to LHS.

=  > 4x - 4x + 13 - 4 =  {x}^{2}  \\

  • Now, do the addition and subtraction.

=  >  {x}^{2}  = 9 \\  =  >  x =  \sqrt{9}  \\  =  > x = ±3

<u>Answer</u><u>:</u>

<u>x </u><u>=</u><u> </u><u>±</u><u> </u><u>3</u>

Hope you could understand.

If you have any query, feel free to ask.

3 0
2 years ago
Please help will mark brainliest<br>answer whatever you can​
Drupady [299]

Step-by-step explanation:

I am not allowed to answer more than 3 questions.  So I will do the first 3.

15a. i)  (2/3) = 4/9

      ii)  (2/3) = 8/27

      iii)  (2/3) = 16/81

  b.  The product is small because you are finding the fraction of a fraction.

16.  Compared to the factors, the product is less than each fraction.  This is because, as stated above, you are trying to find a fraction (a part of the whole) of another fraction.  When you multiply a whole number by a fraction, the whole number decreases.  The same applies to a fraction.

17a.  0.4 × 0.3 = 0.12

  b.  0.4 = 4/10 = 2/5

       0.3 = 3/10

       3/10 × 2/5 = 6/50

8 0
2 years ago
An investment of $900 earns 6% annual interest and is compounded semi-annually. Write an equation
nalin [4]

Answer:

A=900(1+\frac{0.06}{2})^{2(t)}

Step-by-step explanation:

Lets use the compound interest formula provided to solve this:

A=P(1+\frac{r}{n} )^{nt}

<em>P = initial balance</em>

<em>r = interest rate (decimal)</em>

<em>n = number of times compounded annually</em>

<em>t = time</em>

First, change 6% into a decimal:

6% -> \frac{6}{100} -> 0.06

Since the interest is compounded semi-annually, we will use 2 for n. Lets plug in the values now and your equation will be:

A=900(1+\frac{0.06}{2})^{2(t)}

4 0
2 years ago
There are 4 jacks and 13 clubs in a standard, 52-card deck of playing cards. What is the probability that a card picked at rando
ale4655 [162]

Answer:

16/52, or 4/13.

Step-by-step explanation:

First, since we know that the question is asking for the probability of a club <u>or</u> a jack, we know that we have to add the two probabilities. The first probability is that of picking a club, which is 13/52. The probability of picking a jack (be sure not to overlap; don't double count the jack of clubs) is 3/52. Adding these two gives us 13/52+3/52=16/52, which simplifies to 4/13.

3 0
3 years ago
10. The continuously compounded annual return on a stock is normally distributed with a mean of 20% and standard deviation of 30
ehidna [41]

Answer: We should expect its actual return in any particular year to be between<u> -40%</u> and<u> 80%</u>.

Step-by-step explanation:

Given : The continuously compounded annual return on a stock is normally distributed with a mean 20% and standard deviation of 30%.

From normal z-table, the z-value corresponds to 95.44 confidence is 2.

Therefore , the interval limits for 95.44 confidence level will be :

Lower limit = Mean -2(Standard deviation) = 20% -2(30%)= 20%-60%=-40%

Upper limit =  Mean +2(Standard deviation)=20% +2(30%)= 20%+60%=80%

Hence, we should expect its actual return in any particular year to be between<u> -40%</u> and<u> 80%</u>.

7 0
3 years ago
Other questions:
  • A patient is scheduled to receive 750 millimeters of blood over the course of 4.5 hours. There are 15 drops in 1 milliliter. The
    13·1 answer
  • The slope-intercept form of the equation of a line that passes through point (–2, –13) is y = 5x – 3. What is the point-slope fo
    13·2 answers
  • Explain why increasing the sample size tends to result in a smaller sampling error when a sample mean is used to estimate a popu
    6·1 answer
  • It takes 36 nails to weigh a pound. How many would it take to weigh 7 2/3 pounds
    12·2 answers
  • The sum of 5 consecutive numbers is -5. What is the largest out of the numbers?
    7·1 answer
  • Kyra has a manufacturer's coupon for $5 off a box of diapers and a store coupon for 20% off any purchase. The store will let you
    11·1 answer
  • Test the claim that the mean GPA of Orange Coast students is smaller than the mean GPA of Coastline students at the 0.005 signif
    7·1 answer
  • How do I solve this? Thank you!
    13·1 answer
  • Find the L.C.M. of a3-1, a4+a2+1 and a2+a+1. ​
    5·1 answer
  • Question 4 (Essay Worth 10 points) (06.04 HC) 0 A figure is located at (2, 0), (2, -2), (6, -2), and (6, 0) on a coordinate plan
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!