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
hoa [83]
3 years ago
9

-5 < x - 4 greater than it equal 1

Mathematics
1 answer:
saul85 [17]3 years ago
6 0

We have expression -5 < x - 4 \geq 1 that renders the system of inequalities,

\begin{cases}-5 < x - 4 \\x - 4 \geq 1\end{cases}

Which can be simplified to,

\begin{cases}x > -1 \\x \geq 5\end{cases}

So what we get is something greater than -1 and at the same time greater or equal to 5, so the solution is,

x\in(\infty,-1)\cap(\infty, 5]=\boxed{(\infty,5]}.

Hope this helps.

You might be interested in
If a solution has 24g of sugar in 130ml of water, what is its concentration?
Jobisdone [24]

Answer: concentration = 15.58%

Step-by-step explanation:

Given: mass of sugar = 24 g = 24 ml   [ ∵ 1 g = 1 ml]

Volume of solution = Quantity of water + quantity of solute

= 130 +24 ml

= 154 ml

Concentration = \dfrac{mass\ of\ solute}{Volume\ of\ solution}\times100

=\dfrac{24}{154}\times 100\\\\\approx15.58\%

Hence, the concentration =15.58%

3 0
3 years ago
Please help 20 POINTS
Elenna [48]

Answer:

5 4/5

Step-by-step explanation:

First of all subtract the whole number, 2, from 8 1/5

You would get 6 1/5

Now subtract 2/5 from that, or set up an equation like:

6 + 1/5 - 2/5

you would get 6 - 1/5 or 5 4/5

-Chetan K

6 0
3 years ago
Read 2 more answers
What are the answers I need help I tried and I am stuck HELP ME PLEASE!!! I Will Give Brainliest!!
Mice21 [21]

Answers: 11-20

Step-by-step explanation: Step 1. Flip the equation Step 2. Add the number to both sides Step 3. Divide both sides by the number to get your answer.

1. v=10 2. m=7 3. r=-9 4. k=9 5. r=0 6. x=10 7. x=6 8. 9=3 9. m=-10 10. n=-10

11.p=0

12.x=10

13.b=4

14.n=0

15.p=2

16.x=8

17.m=8

18.x=3

19.n=-1

20.n=9

4 0
3 years ago
(5) Find the Laplace transform of the following time functions: (a) f(t) = 20.5 + 10t + t 2 + δ(t), where δ(t) is the unit impul
Aloiza [94]

Answer

(a) F(s) = \frac{20.5}{s} - \frac{10}{s^2} - \frac{2}{s^3}

(b) F(s) = \frac{-1}{s + 1} - \frac{4}{s + 4} - \frac{4}{9(s + 1)^2}

Step-by-step explanation:

(a) f(t) = 20.5 + 10t + t^2 + δ(t)

where δ(t) = unit impulse function

The Laplace transform of function f(t) is given as:

F(s) = \int\limits^a_0 f(s)e^{-st} \, dt

where a = ∞

=>  F(s) = \int\limits^a_0 {(20.5 + 10t + t^2 + d(t))e^{-st} \, dt

where d(t) = δ(t)

=> F(s) = \int\limits^a_0 {(20.5e^{-st} + 10te^{-st} + t^2e^{-st} + d(t)e^{-st}) \, dt

Integrating, we have:

=> F(s) = (20.5\frac{e^{-st}}{s} - 10\frac{(t + 1)e^{-st}}{s^2} - \frac{(st(st + 2) + 2)e^{-st}}{s^3}  )\left \{ {{a} \atop {0}} \right.

Inputting the boundary conditions t = a = ∞, t = 0:

F(s) = \frac{20.5}{s} - \frac{10}{s^2} - \frac{2}{s^3}

(b) f(t) = e^{-t} + 4e^{-4t} + te^{-3t}

The Laplace transform of function f(t) is given as:

F(s) = \int\limits^a_0 (e^{-t} + 4e^{-4t} + te^{-3t} )e^{-st} \, dt

F(s) = \int\limits^a_0 (e^{-t}e^{-st} + 4e^{-4t}e^{-st} + te^{-3t}e^{-st} ) \, dt

F(s) = \int\limits^a_0 (e^{-t(1 + s)} + 4e^{-t(4 + s)} + te^{-t(3 + s)} ) \, dt

Integrating, we have:

F(s) = [\frac{-e^{-(s + 1)t}} {s + 1} - \frac{4e^{-(s + 4)}}{s + 4} - \frac{(3(s + 1)t + 1)e^{-3(s + 1)t})}{9(s + 1)^2}] \left \{ {{a} \atop {0}} \right.

Inputting the boundary condition, t = a = ∞, t = 0:

F(s) = \frac{-1}{s + 1} - \frac{4}{s + 4} - \frac{4}{9(s + 1)^2}

3 0
3 years ago
Solve for x.<br> 100°<br> (2x+3)<br> 51°
Evgen [1.6K]
I think it’s im not sure 400x
4 0
3 years ago
Other questions:
  • Write a NUMERICAL EXPRESSION for the product of 9 and 5 then subtract 15
    15·1 answer
  • The product of a linear monomial and a linear binomial is a ​
    15·1 answer
  • Can some help me with this
    7·1 answer
  • Find the solution set for the following equation. <img src="https://tex.z-dn.net/?f=-%5Csqrt%28x%29%3D5" id="TexFormula1" title=
    15·1 answer
  • What is the percentage of 0.0015
    11·1 answer
  • 6 radians is the same as ____°.<br> Round to the nearest hundredth of a degree.
    7·2 answers
  • Solve for all possible values of x.<br>√x-8-3=1<br>Ox= -4<br>O x = 8<br>O x = 12<br>Ox= 24​
    11·1 answer
  • What is the correct answer??
    15·2 answers
  • Hmm, which ones true?
    12·2 answers
  • Suppose each cube in this figure is a -inch cube. Select all that are true.
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!