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
stealth61 [152]
3 years ago
6

Find the value of the expression |2x−8| where x=−2.5; 0; 4; 5; 9.5.

Mathematics
1 answer:
Lelu [443]3 years ago
5 0

The absolute value |x| returns the "positive version" of a number. In other words, if x is already positive, then |x|=x. Otherwise, if x is negative, then the absolute value changes its sign, so that it returns positive: |x|=-x.

So, in this case, we have to plug the required values for x in the expression 2x-8. Then, if the result is positive we're ok, otherwise we discard the negative sign.

We have:

x=-2.5 \implies |2x-8| = |-5-8|=|-13|=13

x=0 \implies |2x-8| = |0-8|=|-8|=8

x=4 \implies |2x-8| = |8-8|=|0|=0

x=5 \implies |2x-8| = |10-8|=|2|=2

x=9.5 \implies |2x-8| = |19-8|=|11|=11

You might be interested in
A swimming pool is being drained so it can be cleaned. The amount of water in the pool is changing according to the función f(t)
TiliK225 [7]

Answer:

0 ≤ t ≤ 5.

Step-by-step explanation:

In the function f(t), t is the independent variable. The domain of f is the set of all values of t that this function can accept.

In this case, f(t) is defined in a real-life context. Hence, consider the real-life constraints on the two variables. Both time and volume should be non-negative. In other words,

  • t \ge 0.
  • f(t) \ge 0.

The first condition is an inequality about t, which is indeed the independent variable.

However, the second condition is about f, the dependent variable of this function. It has to be rewritten as a condition about t.

\begin{aligned} f(t) &\ge 0 &&\text{Assumption} \cr 80000 - 16000\, t& \ge 0 && \text{Definition of} ~ f \cr 80000 & \ge 16000\, t && \begin{aligned}&\text{Add $16000\, t$} \\[-0.5em] & \text{to both sides of the inequality}\end{aligned} \cr 5 &\ge t &&\begin{aligned}&\text{Divide both sides of} \\[-0.5em] & \text{the inequality by $16000$}\end{aligned} \cr t &\le 5 && \text{Flip the inequality}\end{aligned}.

Hence, t ≤ 5.

Combine the two inequalities to obtain the domain:

0 ≤ t ≤ 5.

6 0
2 years ago
18x^2+21x-9 I need to figure out how to work this problem
shtirl [24]
18x^2+21x-9=3(6x^2)+3(7x)-3(3)\\\\=3(6x^2+7x-3)=3(6x^2+9x-2x-3)\\\\=3[3x(2x)+3x(3)-1(2x)-1(3)]\\\\=3[3x(2x+3)-1(2x+3)]\\\\=\boxed{3(2x+3)(3x-1)}
3 0
3 years ago
Read 2 more answers
7.2 x 12 x 0.23 = ? Round to the nearest hundredth.
Vlada [557]
7.2 \times 12\times  0.23 = 19.872\approx \boxed{\bf{19.87}}

Your final answer is C. 19.87
8 0
3 years ago
f f(x)=2x f ( x ) = 2 x and g(x)=x2+3 g ( x ) = x 2 + 3 , find (g ∘ f)(x) ( g ∘ f ) ( x ) . Question 2 options: 2x2+3 2 x 2 + 3
Deffense [45]

Answer:

im confused. what math structure is this

6 0
3 years ago
Jessica completed 20 haircuts in 8 hours. On average how many haircuts per hour did Jessica do?
jeka94

Answer:

two and a half

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • Identify the three types of isometric transformations
    15·1 answer
  • 20000000000000x 3065
    6·1 answer
  • Please solve and I will give brainliest!
    11·2 answers
  • Please find ‘?’ Please help me out
    14·1 answer
  • Solve<br> y = -22t² when t = 5<br><br> If you show your work I will give you branist
    12·1 answer
  • What base makes the equation below true?<br><br> Note: A number should be entered, not a word.
    5·1 answer
  • Suppose we increase the overall number of doctors in the U.S. in all fields and specialties of medical practice by equal percent
    14·1 answer
  • Giving extra points if you can answer
    11·1 answer
  • In the figure shown, which pair of angles must be complementary?
    15·1 answer
  • HELP ASAP !!!!!!!! <br> The graphs below have the same shape. What is the equation of the blue graph
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!