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
What’s the solution for 2x =8
Answers
Answer:
4
Step-by-step explanation:
2x = 8
x = 4
Answer: x=4
Step-by-step explanation:
2x = 8
x = 8/2
x = 4
Check: 2(4)=8
Missing numbers on the number line
The blue dot is at what value on the number line?
+
+
7
+
7
9
Delatedcantant
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Answer: i can’t really see but if you count backwards from 9 by 1 the answer is 3
Step-by-step explanation:
Math. Help I really need this giving brainliest to the person with the correct answer, please explain your answer..
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Answer:
It is A
Step-by-step explanation:
You have 4 muffins or 4m with a 2 dollar off coupon so therefore it is 4m-2
Answer:
4m-2
Step-by-step explanation:
The cost, m, is subtracted by 2. There are 4 muffins being bought, so the term would be 4m, making the equation 4m-2.
6) A design for a library has a scale of
1/3inch = 1 foot. The height of the library
in the drawing is 12 inches. What is the
actual height of the library?
Answers
Answer:
36 feet
Step-by-step explanation:
There are three feet to each foot, 3 times 12 is 36.
Write the equation of the line with the given slope and y intercept.
m = 0.25 b = 6
Answers
Answer:
y=−2x+6
Step-by-step explanation:
the equation of a line in slope-intercept form is. y=−2x+6 is the equation.
At Grab & Go Grocery, you can buy 4 yogurt cups for $5. If the unit price stays the same, how much would it cost to buy 10 yogurt cups?
Answers
Answer:
12.50
Step-by-step explanation:
Each yogurt is $1.25. 1.25 x 4 = 5. so 1.25 x 10 = 12.50.
Help me with my khan academy!
Answers
Answer:
the answer will be a because its on top of it
Answer:
E, I hope this helps :D
Given that the line y=mx+b has a slope of -3 and passes through (6,-4)
Find b, the value of the y-intercept of the line.
Answers
there is 1 person he has a friend how do you add him on brainly and how many people are there in total?
Answers
Hope this helps
Have a great day/night
Will mark as brainliest
Answers
Answer:
p = 1
Step-by-step explanation:
Δ JKH ≅ Δ JIH
therefore KJ corresponds with IJ so you can set both sides equal to each other
10p = p+9
9p = 9
p = 1
HELP PLEASE!!!!!!!
A restaurant sells 10 garden salads. If garden salads represent 20% of their total salad sales, how many salads did they sell?
Answers
20%=10
100=20x5
5x10=50 salads
A line with a slope of 1/3 passes through (-5,r) and (4,1).
To make this work correctly, the value of r=
Answers
Answer: Add the 1/3 to look for the r
Find the slope of the line containing the points (-2, 1) and (-3, -2)
Answers
Which of the following best describes the graph below?
Answers
Answer:
The correct option is;
A. It is a one-to-one function
Step-by-step explanation:
A function f(x), is a one to one function when each value in the range is given by each unique value in the domain such that each "x" value produces a unique "y" value.
The given graph has a domain of -2 ≤ x < ∞
Within the domain plotted in the graph, all lines with equation "x" = -2, -1, 0..., 4, 5 crosses the graph only once, therefore, for each value of "x", there is only one value of "y", which gives the relationship between the "x" and "y" values as one to one function
What is the value of 80 + 57
Answers
have a good day. hope i helped
Answer:
137
Step-by-step explanation:
Add 80 and 57.
Can someone please help me. It’s hard and I don’t understand.
Answers
9513 1404 393
Answer:
changes by 120 for each copyis 1800 if none are soldStep-by-step explanation:
Let's look at the second question first.
x is the number of copies Chau sells. If he doesn't sell any copies, then x = 0. To find Chau's pay, we use x=0 in the equation, and solve for y.
120×0 +1800 = y
0 +1800 = y
1800 = y
Chau's pay when he sells no copies is $1800.
__
If Chau sells 1 copy, then his pay is ...
120×1 +1800 = y = 1920 . . . . . . . use the equation with x = 1
The increase in Chau's pay is 1920 -1800 = 120.
Chau's pay changes by $120 for each copy he sells.
Write the point-slope equation of (1,6) (3,-6)
Answers
Answer:
0 (I think)
Step-by-step explanation:
(1,6) (3,-6)
X1 Y1. X2 Y2
-6-6= 0
3-1=2
0/2= 0
Answer:
y=-12/2x + -6
Step-by-step explanation:
m= rise/run = y2-y1/x2-x1
m= -6 - 6 / 3 - 1
m= rise/run -12/2
In a survey of 2,200 people who owned a certain type of car, 440 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
nothing% of the people surveyed were satisfied with the car.
Answers
Answer:
20%
Step-by-step explanation:
20% of people were satisfied with the car.
Each day, you do homework for m minutes and watch tv for 30 minutes. Which expression can you use to find how many minutes you do both activities in 5 days? Explain your reasoning.
Answers
Alright here is the next question
Answers
Answer:
Formula: length x width
Area: 51 km
Step-by-step explanation:
Area: length x width
Area: 17 x 3 = 51
Answer:
For the forumula its Area= LW (Length and width)
A= 51km
If you are trying to find the perimeter, it should be 40.
If a beetle crawls at a constant rate of 3 feet per minute, how long, in minutes, will it take the beetle to travel 75 feet?
A. 25 min.
B. 72 min.
C.78 min.
D. 225 min.
Answers
3/1=75/x
x=25
Answer:
A. 25 minutes
Step-by-step explanation:
3ft/min = 75ft/?min
75ft ÷ 3ft = 25min
it will take the beetle 25 minutes to travel 75 feet.
PLEASE HELP ME!
Describe the slope of the line.
Answers
PLS! ANSWER ASAP!!! 45 POINTS!
Answers
Answer:
3. is 5
4. is 18
5. is 8
Step-by-step explanation:
i did try so forgive me if im wrong
Someone plz help me have a great day ツ
Answers
Answer
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The double number line shows how far a hummingbird can fly in 1 second -
Complete the table to show the same information as the double number line
Answers
Answer:
1
3
130
Step-by-step explanation:
as shown on the lines, it takes the bird one second to fly 13 meters. the answer to the first blank is 1
using this ratio, 13 meters per second, we can find how long it takes for the bird to fly 39 meters.
13/1=39/x
this is 13x=39
x=3 seconds
use the same ratio to find distance
13/1=x/10
13=x/10
130=x
36x^3 +27x^2=0 pls help me solve :/
Answers
Answer: 36x^3 +27x^2 = 9x^2\left(4x+3\right)
Step-by-step explanation: apply exponent rule rewrite factor out common term plz enjoy
Answer:
[tex]x = 0\; ,-\frac{3}{4}[/tex]
Step-by-step explanation:
[tex]36x^3 + 27x^2 = 0[/tex]
Take 9x² common from the expression on L.H.S.[tex]=> 9x^2(4x + 3) = 0[/tex]
Here, x will have 2 values :-
1) [tex]9x^2(4x + 3) = 0[/tex]
Divide both the sides by (4x + 3)[tex]=> \frac{9x^2(4x + 3)}{(4x+3)} = \frac{0}{4x+3}[/tex]
[tex]=> 9x^2 = 0[/tex]
Divide both the sides by 9x[tex]=> \frac{9x^2}{9x} = \frac{0}{9x}[/tex]
[tex]=> x = 0[/tex]
2) [tex]9x^2(4x + 3) = 0[/tex]
Divide both the sides by 9x²[tex]=> \frac{9x^2(4x + 3)}{9x^2} = \frac{0}{9x^2}[/tex]
[tex]=> 4x+3 = 0[/tex]
Substract both the sides from 3[tex]=> 4x+3 -3 = 0 - 3[/tex]
[tex]=> 4x=-3[/tex]
Divide both the sides by 4[tex]=> \frac{4x}{4} = \frac{-3}{4}[/tex]
[tex]=> x = -\frac{3}{4}[/tex]
ABCD is a parallelogram. AB = x + 16, AD = 4y – 4, CD = 2x + 8. If the perimeter of ▱ABCD is 80, find the value of y.
Answers
Answer:
Coronavirusss
Step-by-step explanation:
Stay at home :D
How do we find the area of a rectangle ?
Answers
Answer:
Length multiplied by the width
Step-by-step explanation:
Answer:
To find the area of a rectangle, we multiply the length of the rectangle by the width of the rectangle.
Untitled Question
5 points
Which of the following points lies in the solution set of the inequality
y 3x + 10?
a) (1, 10)
c) (4, 20)
b) (-1,3)
d) (2, 16)
Answers
so i’m trying to figure out the slope of the line shown on the coordinate plane
Answers
Answer:
2
Step-by-step explanation:
pick two points that the line crosses through and write down the coordinates
eg. (3,3) and (2,1)
change in y/change in x
3-1/3-2
2/1
2
hope that helps :)
Answer:
2
Step-by-step explanation:
