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
zaharov [31]
3 years ago
15

12x+7<-11 AND 5x-8=>40

Mathematics
2 answers:
Sladkaya [172]3 years ago
6 0

12x + 7 < -11

12x < -18

x <  -1.5

5x - 8 => 40

5x => 48

x =>  9.6


Andreyy893 years ago
5 0

Answer:

The values of x = [-1.5, -∞) and [9.6, ∞)

Step-by-step explanation:

Here we have to solve the given system of inequalities.

12x +  7 ≤  -11 and 5x - 8  ≥ 40

Here we have to solve for x. Let's take the first inequality and solve for x.

12x + 7 ≤ -11

Subtracting 7 from both sides,

12x + 7 - 7 ≤ -11 - 7

12x ≤ -18

Dividing both sides by 12, we get

x ≤ \frac{-18}{12}

We can simplify this fraction.

x \leq \frac{-3}{2}

x \leq -1.5

Now let's solve the second inequality.

5x - 8 ≥ 40

Add 8 on both sides,

5x - 8 + 8 ≥ 40 + 8

5x ≥ 48

Dividing both sides by 5, we get

x ≥ \frac{48}{5}

x ≥ 9.6

So, solving those inequalities, we get

x ≤ -1.5 and x ≥ 9.6

This means, the values of x = [-1.5, -∞) and [9.6, ∞)

Let's draw the solution in a number line.

You might be interested in
Can someone help me with this math problem
zepelin [54]

Answer:

$50.50 = 18 + 5n

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
What is the distributive property for 9−12x+6y=
Ulleksa [173]

Because there are no parentheses, I'm assuming you're asking for how to factor this using the GCF, which can be done like so:

9−12x+6y

Factor a 3 out of this expression.

3(3 - 4x + 2y)

The expression has been simplified using the distributive property in reverse.


8 0
3 years ago
Pleaseeee help meeeeeee
Maslowich
That my dear your answer would be 16 degrees hope this helped
5 0
3 years ago
Medicare would like to test the hypothesis that the average monthly rate for one-bedroom assisted-living facility is equal to $3
aliina [53]

Answer:

C) more than the absolute value of the critical value, we can conclude that the average monthly rate for an assisted-living facility is not equal to $3,300.

Step-by-step explanation:

Hello!

Interest hypothesizes is " the average monthly rate for one-bedroom assisted-living facility is equal to $3300" symbolically: μ = 3300

The study variable is:

X: Monthly rate for a one-bedroom assisted-living facility.

Since there is no information about the distribution of the variable, to be able to study the population mean, I'll assume that the variable has a normal distribution.

The hypothesis is:

H₀: μ = 3300

H₁: μ ≠ 3300

α: 0.05

The statistic to use, considering that there is no known population information and the sample size, is a Student t:

t= <u> X[bar] - μ </u> ~t_{n-1}

       S/√n

n= 12

X[bar]= $3690

S= $530

Using the sample data, calculate the statistic value:

t= <u> 3690 - 3300 </u> = 2.549

       530/√12

The rejection region for this test is two-tailed, with critical values:

t_{n-1; \alpha /2} = t_{11; 0.025} = -2.201

t_{n-1;1-\alpha /2} = t_{11; 0.975} = 2.201

The decision rule is:

Reject the null hypothesis if t ≤ -2.201 or if t ≥ 2.201

Not reject the null hypothesis if -2.201 < t < 2.201

Since the calculated value (2.549) is greater than the right critical value (2.201) the decision is to reject the null hypothesis.

With a signification level of 5%, there is enough evidence to reject the null hypothesis. This means that the population mean of the monthly rate for a one-bedroom assisted living facility is different from $3300.

I hope it helps!

7 0
3 years ago
Find the value of x in the triangle shown below
makvit [3.9K]

Answer:

Same Imao

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • Can someone please answer all these please?
    8·1 answer
  • PLZ HELP ME WITH THIS I NEED HELP ASAP
    6·1 answer
  • The average American ate 12.3 pounds of cookies and crackers in 1993. How many ounces is this?
    14·1 answer
  • Add the two mixed numbers 1 1/3 + 3 2/3 = ?
    13·1 answer
  • A city planner wants to build a road parallel to 2nd Ave . What is the slope of the new road?
    7·1 answer
  • Giving brainliest!!!!!!!!!!!!
    9·1 answer
  • ??? Help plz!!!!!!!!!!
    11·2 answers
  • The table shows the approximate calorie count of each ingredient in Buddy’s breakfast. The average person should consume about 2
    13·1 answer
  • Can somebody help me with this?
    5·1 answer
  • -5(2x-3)=-3(4x-11) plz help me with this ty
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!