Answers
Answer:
The solution to the inequality is:
[tex]-1\le \:x\le \:3[/tex]
The line graph of the solution is also attached.
Step-by-step explanation:
Given the expression
[tex]4x-1\:\le \:5x\:\le \:3\left(x+2\right)[/tex]
solving the expression
[tex]4x-1\:\le \:5x\:\le \:3\left(x+2\right)[/tex]
[tex]\mathrm{If}\:a\le \:u\le \:b\:\mathrm{then}\:a\le \:u\quad \mathrm{and}\quad \:u\le \:b[/tex][tex]4x-1\le \:5x\quad \mathrm{and}\quad \:5x\le \:3\left(x+2\right)[/tex]
solving
[tex]4x-1\le \:5x[/tex]
Add 1 to both sides
[tex]4x-1+1\le \:5x+1[/tex]
Simplify
[tex]4x\le \:5x+1[/tex]
Subtract 5x from both sides
[tex]4x-5x\le \:5x+1-5x[/tex]
simplify
[tex]-x\le \:1[/tex]
Multiply both sides by -1 (reverse inequality)
[tex]\left(-x\right)\left(-1\right)\ge \:1\cdot \left(-1\right)[/tex]
Simplify
[tex]x\ge \:-1[/tex]
Similarly solving
[tex]5x\le \:3\left(x+2\right)[/tex]
Subtract 3x from both sides
[tex]5x-3x\le \:3x+6-3x[/tex]
Simplify
[tex]2x\le \:6[/tex]
Divide both sides by 2
[tex]\frac{2x}{2}\le \frac{6}{2}[/tex]
Simplify
[tex]x\le \:3[/tex]
So combine the interval
[tex]x\ge \:-1\quad \mathrm{and}\quad \:x\le \:3[/tex]
Merge overlapping intervals
[tex]-1\le \:x\le \:3[/tex]
Therefore, the solution to the inequality is:
[tex]-1\le \:x\le \:3[/tex]
The line graph of the solution is also attached.
Related Questions
Sorry for it being so long
Answers
Answer:
<1 = 97
<2 = 83
<7=87
<8 = 83
<11 = 112
<12 = 68
<13 = 112
<14 = 68
Step-by-step explanation:
Those are the only ones Ik sry
what is 10.26 with 8% tax
Answers
Answer:
$11.08 to the nearest penny
Step-by-step explanation:
So I do it like
10.26 is 100 percent
We’re adding 8 percent so technically multiplying by 108
SO 10.26*108 is 11.08 to the nearest penny
It so much easier, easy 1 step
Answer: $11.08
Step-by-step explanation:
can someone PLEASE help on any of these i’m so confused
Answers
15.)90°
16.) 41°
17.)49°
18.)139°
19.)131°
20.)109°
21.)66°
22.)124°
What is chipset what role its play:}
Answers
Answer:
a chipset is a system of electrical components which are needed to work for microprocessors.the chipset is to do with the the components on the motherboard
Step-by-step explanation:
pls mark me as brainliest!!<3
ʟɪᴠɪɴɢ ᴏɴ ᴛʜᴇ ᴍᴏᴛʜᴇʀʙᴏᴀʀᴅ, ᴀ ᴘᴄ's ᴄʜɪᴘsᴇᴛ ᴄᴏɴᴛʀᴏʟs ᴛʜᴇ ᴄᴏᴍᴍᴜɴɪᴄᴀᴛɪᴏɴ ʙᴇᴛᴡᴇᴇɴ ᴛʜᴇ ᴄᴘᴜ, ʀᴀᴍ, sᴛᴏʀᴀɢᴇ ᴀɴᴅ ᴏᴛʜᴇʀ ᴘᴇʀɪᴘʜᴇʀᴀʟs. ᴛʜᴇ ᴄʜɪᴘsᴇᴛ ᴅᴇᴛᴇʀᴍɪɴᴇs ʜᴏᴡ ᴍᴀɴʏ ʜɪɢʜ-sᴘᴇᴇᴅ ᴄᴏᴍᴘᴏɴᴇɴᴛs ᴏʀ ᴜsʙ ᴅᴇᴠɪᴄᴇs ʏᴏᴜʀ ʙᴇsᴛ ᴍᴏᴛʜᴇʀʙᴏᴀʀᴅ ᴄᴀɴ sᴜᴘᴘᴏʀᴛ
factorise 6-12x please help me
Answers
Answer:
The factorized form of the function is 6 (1 - 2x)
Step-by-step explanation:
Given function;
6 - 12x
This function can be factorized as follows by using common factor of 6 and 12, which is 6;
6 - 12x = 6 (1 - 2x)
Thus, the factorized form of the function is 6 (1 - 2x)
whats the gfc of 15 and 30?
Answers
Answer:
15
Step-by-step explanation:
The relationship between the number of boxes of printer paper purchased and total cost is represented in the table below.What is the cost of 1 box of paper?
Use the on-screen keyboard to type the correct answer in the box below.
Answers
Answer:Cost of 1 box of paper is 7.25
Step-by-step explanation:When you look at the table all you really need to do is divide 2 and 14.50 and you'll get you answer
Evaluate the following expression 10+ 54/-6
Answers
The answer would just be 1
Hey there!
The answer to your question is [tex]1[/tex].
Let us start by dividing:
[tex]\frac{54}{-6} = -9[/tex]
Now, we do [tex]10 + -9[/tex], which is [tex]1[/tex].
Hope it helps and have a terrific day!!!
The cost of a mobile phone processor is directly proportional to its speed.
A 2GHz mobile costs £500.
Let x be the speed of a processor in GHz
Let y be the cost in pounds.
Find a formula linking the variables.
Answers
Answer: See explanation
Step-by-step explanation:
We are going to use the formula used in calculating direct proportion which is equal to:
y = kx
where,
x = speed of a processor in GHz
y = the cost in pounds
Therefore, y = kx
500 = 2k
Therefore, y = 2k
x + 7 < 15
I need to know what this answer is and quick
Answers
Answer:
x<8
Step-by-step explanation:
x+7<15
x<15-7
x<8
[tex]hope \: it \: helps[/tex]
Find the slope and y intercept for the equation.
y = -6.75x + 8.54
Answers
Answer:
the y intercept is 8.54 and the slope would be 0
Step-by-step explanation:
use to do these
i need help asap i’ll give
Answers
Answer:
32
Step-by-step explanation:
It is a 90º angle. Subtracting the 58º gives you 32.
help me please! thanks:)
Answers
Answer:
Question 1. 1st option
Question 2. 3rd option
Question 3. 3rd option
2.C. 6/10 simplified = 3/5 so 3-5 and 1/5
3.C. 12/100= 3/25 and 125/100= 5/4
Hope this helps
Have a great day
Which statement accurately describes the combined
functions, P(x) and A(x)?
O P(x) has a constant rate of change, but A(x) does
not.
O A(x) has a constant rate of change, but P(x) does
not.
Both P(x) and A(x) have a constant rate of change.
O Neither P(x) nor A(x) have a constant rate of
change.
Answers
Answer: A
Step-by-step explanation:2020 edg
Answer: the answer is A
Step-by-step explanation:
just did it on edge
Work out the area of a square with base,
b
= 4cm
Answers
Answer:
since
formula is 4a
then
answer 16...
What importance do fossils have to scientists?
A. Fossils are used to create cement, which is used to pave our roads.
B. Fossils provide information about the plants and animals that lived long ago and the nature of the environment at the time.
C. Fossils help keep the Earth's crust from shifting, which reduces the likelihood of earthquakes.
D. Fossils can help prove that aliens from other planets once lived on our Earth, but they all died from some catastrophic
event
Answers
Answer:
B is the answer.
Step-by-step explanation:
Please help if possible!
Match the angle relationship with each given angle pair.
Answers
Answer:
???
Step-by-step explanation:
transforming quadratic graphs
Answers
Answer:
f(x) = 3(x - 2)² + 4
OR
f(x) = 3x² - 12x + 16
Step-by-step explanation:
Vertex form of a parabola:
y = a(x - h)² + kStandard form of a parabola:
y = ax² + bx + cLet's find the vertex of this parabola.
(h, k) → (2, 4)In order to find the a-value (vertex form), let's use another point besides the vertex on the parabola.
Using (3, 7) for (x, y), let's substitute this point and the vertex (2, 4) for (h, k) into the vertex form equation and solve for a.
7 = a[(3) - (2)]² + 4Simplify using PEMDAS.
7 = a(1)² + 47 = a + 4Subtract 4 from both sides.
a = 3Now we have (h, k) and a of the vertex form.
y = a(x - h)² + k → y = 3(x - 2)² + 4In order to convert from vertex to standard form, simplify the equation by FOILing.
y = 3(x - 2)² + 4y = 3(x² - 4x + 4) + 4Distribute 3 inside the parentheses.
y = 3x² - 12x + 12 + 4Combine like terms.
y = 3x² - 12x + 16Therefore, we have the answer:
Vertex form:
f(x) = 3(x - 2)² + 4Standard form:
f(x) = 3x² - 12x + 16anyone know how to do this? will give brainlest! if you cant help, have a great day!!!
Answers
a factory can make 2,402 baseballs in 1 hour how many baseballs can the factory make in 5 hours
Answers
Answer:
The factory can make 12,010 baseballs in 5 hours.
Step-by-step explanation:
We have to multiply 2,402 * 5 to find the answer.
5 * 2,402 = 12,010
Hope this helps!
Please mark as brainliest.
x=basketball in 5 hours
2,402=1 hours
which means x=5 hours
Multiply the terms:
2,402x5=12010
x=12010
hereeee lol& thanks again<3!
Answers
Answer:
-1/2 is the slope. This means that the graph moves down one unit, and right 2 units (over and over again)
-1 is the y-intercept. This is where the line hits the y-axis
start by plotting the y-intercept (0,-1)
then move down one unit, and right two units, and plot another point.
this is the line y=-1/2x-1
Step-by-step explanation:
Step-by-step explanation:
hope it helps
............
which one is greater 20 ounces or 20 grams
Answers
Answer:
20 ounces
Step-by-step explanation:
Answer:
20 ounces
Step-by-step explanation:
20 grams in ounces is 0.7055
and 20 ounces in grams is 566.99
Use the lattice method to multiply
Answers
Answer: Use the lattice method to multiple 54x 9
If it's 54 times 9 using the lattice method your Answer is:
54 times 9
is 486
Hope this helps..... Stay safe and have a great day!!! :D
I’ll give u brainilest just help
Answers
Answer:
11 44 0.250
18 48 0.375
11 40 0.275
about number 3 i have no idea
Step-by-step explanation:
prove me wrong
What is the circumference and radius of a circle with a diameter of eight and a half inches?
Answers
Answer:
the radius 4.25
Step-by-step explanation:
What are the answers to the last two questions?
Answers
Answer:
Thanks for the points :3
2+0+3+4+9+6 ?? please
Answers
Hey there!
The answer is 24
2+0
2
2+3
5
5+4
9
9+9
18
18+6
24
Have a good day!
P.S. UMMMMMMMMM
Which description best Fitz the graph?
PLS HELP ME NEED THIS ASAP
Answers
Answer: always decreasing
Step-by-step explanation:
Since it goes down without going back up it is always decreasing
Please help, due today
Answers
Answer:
See below.
Step-by-step explanation:
The domain refers to the x values used in the equation/graph. The line appears to go from -10 to 10 on the x-axis. The dots above -10 and 10 are not shaded in meaning those x values do not count towards the domain meaning we will use parenthesis instead of brackets for interval notation or no equal to signs in inequality notation.
Interval Notation: (-10, 10)
Inequality Notation: -10 < x < 10
What is the inequality shown?
Answers
Answer:
-1<X<2
Step-by-step explanation:
i think this is correct