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
emmasim [6.3K]
3 years ago
5

State all integer values of x in the interval (-2,5) that satisfy the following

Mathematics
1 answer:
dimaraw [331]3 years ago
5 0

Answer:

The only value in the interval (-2, 5) which satisfies the inequality is:

  • x = -1

Step-by-step explanation:

Given the inequality

  • -4x – 1 > 1
  • interval = (-2,5)

The integer values lie in the interval (-2, 5) = -1, 0, 1, 2, 3, 4

Let us substitute all the integer values lie in the interval

substitute x = -1

-4x – 1 > 1

-4(-1) - 1 > 1

4 - 1 > 1

3 > 1

TRUE

substitute x = 0

-4x – 1 > 1

-4(0) - 1 > 1

0 - 1 > 1

-1 > 1

FALSE

substitute x = 1

-4x – 1 > 1

-4(1) - 1 > 1

-4 - 1 > 1

-5 > 1

FALSE

substitute x = 2

-4x – 1 > 1

-4(2) - 1 > 1

-8 - 1 > 1

-7 > 1

FALSE

substitute x = 3

-4x – 1 > 1

-4(3) - 1 > 1

-12 - 1 > 1

-13 > 1

FALSE

substitute x = 4

-4x – 1 > 1

-4(4) - 1 > 1

-16 - 1 > 1

-17 > 1

FALSE

Therefore, the only value in the interval (-2, 5) which satisfies the inequality is:

  • x = -1
You might be interested in
Chris,Mary Beth, and Allison are discussing the number of oranges grown in Florida. Chris says that approximately 14.6% of the w
bearhunter [10]
Alison is wrong because you don't know what 0.146 is of. The other two are in agreement because 292/2000 is 14.6 percent.
7 0
3 years ago
Which of the following is an equation of a line parallel to 2x-y=-1?
Simora [160]

Although you didn't provide a list of options to choose from, I hope my explanation will help you  work this out with ease. :)

This equation is in a form known as "standard form." ax+by=c Standard form is commonly used, however for comparing slopes, there is a more efficient equation to use.

Point-slope form (y=mx+b) allows lines' slopes (y) and y-intercepts (b) to be quickly compared and contrasted. Let's put the equation into this form.

2x-y=-1

-2x      -2x

-y = -1 - 2x

*-1      *-1

y= 1 + 2x

Switch pieces around

y= 2x + 1

The slope is 2, the y intercept is 1.

<h2><u>Any line that rises 2 units up for every one unit right and that crosses over the vertical axis at any point other than 1 is your answer.</u></h2>

<u />

3 0
4 years ago
Lane paints a square-shaped section of a
juin [17]

Answer:

8.66 ft

Step-by-step explanation:

A square is a shape that has an equivalent length and breadth across it’s cross section.

What this means is that measuring the length across the top and bottom will yield the same length value.

Thus, mathematically, let’s call the measured height h

The square of this height gives the area

thus;

h^2 = 75

h = √75

h = 8.660254037844

This is approximately 8.7 to one decimal place

4 0
3 years ago
Use the long division method to find the result when 12x^3+25x^2+4x-112x
slavikrds [6]

Answer:

(4x + 3) • (x + 2) • (3x - 2)

Thats finding the root polynomials hope it helps a bit

7 0
3 years ago
What is 21000 take away two thirds
NISA [10]

Answer:

7000

Step-by-step explanation:

21000/0.667

=14000

21000-14000

=7000

3 0
3 years ago
Other questions:
  • Consider the following hypothesis test: : : A sample of provided a sample mean of . The population standard deviation is . Enter
    10·1 answer
  • You will flip a coin five times. How many ways can you get three heads and two tails?
    6·1 answer
  • Any help appreciate :)
    11·2 answers
  • If a +b =1 and a-b = 7, find the values of : 1) 5(a^2 +b^2) ii) ab​
    8·1 answer
  • Write the word sentence as an equation. Then solve.
    5·1 answer
  • 1. Todd plans to swim 18 laps in the pool. Each leo is 50
    6·1 answer
  • What is the next fraction in the sequence? Simplify your answer. 3/4, 5/8, 1/2, 3/8,
    14·1 answer
  • Alice was having a conversation
    15·1 answer
  • Pls help. i will give brainliest!!!!!!
    7·1 answer
  • In an interview of 45 students, 12 liked Mathematics and Science, 5 liked Mathematics and English, 25 liked Mathematics; 23 like
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!