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
tigry1 [53]
2 years ago
11

Solve -9 <4x+3 11.

Mathematics
1 answer:
Dvinal [7]2 years ago
7 0

Answer:

c) x > -3 or x ≤ 2

Step-by-step explanation:

We are asked to solve this algebraic expression

-9 < 4x+3 ≤ 11.

We have two parts:

a) -9 < 4x+3

b) 4x+3 ≤ 11

For

a) -9 < 4x+3

Subtract 3 from both sides

-9 - 3 < 4x + 3 -3

-12 < 4x

-12/4 < x

-3 < x

x > -3

b) 4x+3 ≤ 11

Subtract 3 from both sides

4x + 3 -3 ≤ 11 - 3

4x ≤ 8

x ≤ 8/4

x ≤ 2

Hence, our answer is

x > -3 or x ≤ 2

You might be interested in
4. As shown in Figure 5.111 to the right if the
Juli2301 [7.4K]

Answer:

Area of the shaded part is 3.14 square unit.

Step-by-step explanation:

Area of the shaded part = Area of large semicircle - (Area of two small semi circles)

Area of large semicircle with center O = \frac{1}{2}(\pi r^2)

                                                                = \frac{1}{2}\pi (2)^{2}

                                                                = 2π

Area of semicircle with center O' = \frac{1}{2}\pi (1)^2

                                                      = \frac{\pi }{2}

Area of semicircle with center O" = \frac{\pi }{2}

Now substitute these values in the formula,

Area of shaded part = 2\pi - (\frac{\pi }{2}+\frac{\pi }{2})

                                  = \pi

                                  = 3.14 square unit

Area of the shaded part is 3.14 square unit.

7 0
3 years ago
What is 187 divided by 9
Marat540 [252]
187/9= 20.7
20 remainder 7
7 0
2 years ago
Read 2 more answers
Simplify the expression
ollegr [7]

Answer:

<h3>              f(x) = x - 6</h3><h3>             g(x) = x - 5</h3>

Step-by-step explanation:

\dfrac{x^2-8x+12}{x^2-7x+10}\\\\x^2-7x+10\ne0\ \iff\ x=\frac{7\pm\sqrt{49-40}}{2}\ne0\ \iff\ x\ne5\ \wedge\ x\ne2\\\\\\\dfrac{x^2-8x+12}{x^2-7x+10}=\dfrac{x^2-2x-6x+12}{x^2-2x-5x+10}=\dfrac{x(x-2)-6(x-2)}{x(x-2)-5(x-2)}=\\\\\\ =\dfrac{(x-2)(x-6)}{(x-2)(x-5)}=\dfrac{x-6}{x-5}\\\\\\f(x)=x-6\\\\g(x)=x-5

4 0
3 years ago
An agency has 4,000 employees. 2,000 employees have at least two years of college education. 1,000 of those employees have bache
weqwewe [10]

Answer:

1/80 of the agency's employees have PhDs.

Step-by-step explanation:

Given that:

Total number of employees = 4000

Number of employees with bachelors degree = 1000

Fraction of employees with graduate degree = 1/4 of 1000 = 250

1/5 of the employees with graduate degrees have PhD.

Number of employees with PhDs = 1/5 of 250 = 50

Now,

Fraction of PhD employees to total employees = \frac{50}{4000} = \frac{1}{80}

Hence,

1/80 of the agency's employees have PhDs.

5 0
3 years ago
Can you answer these questions I need them today 10 points if you do
quester [9]
#1.) A rational number is a number that can be written as a ratio. That means it can be written as a fraction, in which both the numerator (the number on top) and the denominator (the number on the bottom) are whole numbers. The number 8 is a rational number because it can be written as the fraction 8/1.

I don't want to give you the answer cause that will not help you I'm the future If I just give it to you. It might help you but that's what I learned in school is that it doesn't help. Because like if you cheat on a test you won't get to learn. But if you did it yourself and got it wrong you can see why
4 0
3 years ago
Other questions:
  • What is 95.85 estimated to
    12·2 answers
  • The base of a triangle is four times its height.If the area of the triangle is 242 square millimeters,find its height
    8·1 answer
  • A distribution is negatively skewed if which of these statements is true about the density curve that represents it?
    14·1 answer
  • hat is the value of the discriminant, b2 − 4ac, for the quadratic equation 0 = x2 − 4x + 5, and what does it mean about the numb
    12·2 answers
  • WILL MARK BRAINLIEST!!! PLZ HELP!!!
    5·1 answer
  • The amount and the concentration of a salt solution is given. How much salt would you get if you evaporated all water from this
    7·1 answer
  • How do I do the pattern
    6·2 answers
  • There are 20 chickens and 30 ate cows how many left over?
    12·2 answers
  • 37. What is the value of x?<br> (4x + 12)<br> A 12<br> C 18<br> B 19.5<br> D 60
    6·1 answer
  • A recipe takes 90 minutes
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!