Solve for x in this inequality. Show all your work and
graph your solution.
4(x-3)<2x-4
Answers
Answer:
x<4
Step-by-step explanation:
To solve for x in the inequality equation, the terms should be rearranged such that x is on one side and integers are on the other side.
First, expand 4(x-3).
This will obtain:
[tex]4x - 12 < 2x - 4[/tex]
Now, shift x terms and integers on each side.
[tex]4x - 2x < - 4 + 12[/tex]
After simplifying, it will get:
[tex]2x < 8[/tex]
Finally, we can solve for x.
[tex]x < 4[/tex]
We can also draw the respective graph (please don't mind my drawings), where the area shaded in green is the range.
Related Questions
I Needham help without this one I will give you brainlist
Answers
Answer:
hi, it can be 0 or also 1
please mark as brainiest:)
Answer:
tricky
Step-by-step explanation:
What is the slope of the line that passes through the points (-10, -8) and
(-8, -16)? Write your answer in simplest form.
Answers
Answer:
Slope is - 4
Step-by-step explanation:
The slope of the line will be (-16-(-8))/(-8-(-10))=-8/2=-4
Answer:
-4
Step-by-step explanation:
We have two points so we can use the slope formula
m = (y2-y1)/(x2-x1)
= ( -16 - -8)/(-8 - -10)
= (-16+8)/ (-8+10)
= -8/2
- 4
Se desean plantar 361 plantas de limón, en un terreno cuadrado, de manera que en cada fila queden a un metro de distancia.
Answers
Respuesta:
19
Explicación paso a paso:
Si se van a plantar 361 limoneros en un campo cuadrado;
Entonces, el número de plantas en cada fila debe ser el mismo por columna;
Sea el número de plantas por hilera = x
Número total de plantas = x²
361 = x²
Saca la raíz cuadrada de ambos lados
√361 = √x²
19 = x
Número de plantas por hilera = 19
Seven students were surveyed on the amount of money they make per hour. The results are shown below:
$8.00 $8.25 $8.50 $9.00 $9.25 $10.00 $10.50
What is the mode of the data set?
Answers
Answer:
There is no mode in these set of numbers.
Seven students were surveyed on the amount of money they make per hour. The results are shown below: $8.00, $8.25, $8.50, $9.00, $9.25, $10.00, $10.50 for this given data there is no mode present in the dataset.
In statistics, the mode is a measure of central tendency that represents the most frequently occurring value in a dataset. It can be used to determine the typical or common value in a given set of data. In this case, we have the hourly wages of seven students, and we need to find the mode of this dataset.
To find the mode, we need to identify the value that occurs most frequently in the dataset. Let's list the data in ascending order:
$8.00, $8.25, $8.50, $9.00, $9.25, $10.00, $10.50.
From the given data, we can observe that no value is repeated. In this case, we say that there is no mode or the dataset has no mode. Since each student earns a different hourly wage, there is no single value that appears more frequently than the others.
Mathematically, we can represent the given dataset as a set of values: {8.00, 8.25, 8.50, 9.00, 9.25, 10.00, 10.50}. The mode, denoted as "Mode(X)", is the value(s) that occur(s) most frequently in the dataset X.
In this case, Mode(X) = None or Mode(X) = ∅ (empty set).
This indicates that there is no mode present in the dataset.
It is important to note that a dataset can have more than one mode or no mode at all. When there are two or more values with the same highest frequency, the dataset is said to be multimodal. In our example, since all values occur only once, there is no mode.
In conclusion, the mode of the given dataset, which represents the most frequently occurring value, is not applicable in this case as there is no value that occurs more frequently than the others.
To know more about Mode here
https://brainly.com/question/29005670
#SPJ2
Which statement is true? asap thx reeeeeeeeeeeeeeeeeeeeee
A. 24 – 15 × 4 – 3 × 2 = 30
B. 24 – 15 × (4 – 3) × 2 = 30
C. (24 – 15) × 4 – 3 × 2 = 30
D. (24 – 15) × 4 – 3 × 2 = 66
Answers
Answer:
the correct answer should be C: (24-15) x 4-3 x 2=30
C. (24 - 15) x 4 - 3 x 2 = 30
Hope this helps! :)
Ivan and Adeline are in a classroom with a chalkboard. They are standing on different halves of the board, and on each half, the number is written. When Ivan's teacher gives a signal, Ivan multiplies the number on his side of the board by and writes the answer on the board, erasing the number he started with. Adeline does the same on each signal, except that she multiplies by . The teacher gives 10 signals in total. How many times (including the initial number) do Ivan and Adeline have the same number written on the board
Answers
Answer:
6 times
Step-by-step explanation:
Given
[tex]Start=2[/tex]
[tex]Ivan=-2[/tex] ---- i.e. multiplies by -2
[tex]Adeline = 2[/tex] --- i.e. multiplies by 2
[tex]n=10[/tex] --- signals
Required
Number of times they have the same number
First, we list out all results of Ivan calculations.
To calculate Ivan's list, we simply multiply the current term by -2.
The 10 signals together with the first term, means there will be 11 terms in total
So, we have:
[tex]Ivan = \{2,-4,8,-16,32,-64,128,-256,512,-1024,2048\}[/tex]
Next, list Adeline's
[tex]Adeline = \{2,4,8,16,32,64,128,256,512,1024,2048\}[/tex]
Compare the elements of the two lists, we have:
[tex]Common= \{2,8,32,128,512,2048\}[/tex]
Hence, they have the same number 6 times.
pls help me solve this question pls show how you got the answer
Answers
it appears that there are 7 cubes, so divide the overall volume by the seven cubes, making the volume of each one would 8. Volume is length times with times height so you would find the cube root of eight which is two. This means that each side length is 2 so you would find the area of each side and add them all together. This adds up to equal 120.
Hope this helped!!
explanation:
If f(x) = (x + 9 and g(x) = --6, which describes the range of (f + g)(x)?
O (f+g)(x) 3 for all values of x
Answers
Given:
Consider the below figure attached with this question.
To find:
The value of [tex](f+g)(x)[/tex].
Solution:
The given functions are:
[tex]f(x)=|x|+9[/tex]
[tex]g(x)=-6[/tex]
Now,
[tex](f+g)(x)=f(x)+g(x)[/tex]
[tex](f+g)(x)=|x|+9+(-6)[/tex]
[tex](f+g)(x)=|x|+9-6[/tex]
[tex](f+g)(x)=|x|+3[/tex]
We know that,
[tex]|x|\geq 0[/tex]
Adding 3 on both sides, we get
[tex]|x|+3\geq 0+3[/tex]
[tex](f+g)(x)\geq 3[/tex]
So, [tex](f+g)(x)\geq 3[/tex] for all values of x.
Hence, the correct option is A.
Help question 7 pleaseeeee
Brainliest
Answers
The probability of a successful outcome is (number of ways of achieving a successful outcome)/(number of ways of achieving any outcome).
The probability of first drawing blue is 4/16 = 1/4
Once a blue marble has been drawn the number of yellow marbles is unchanged (3) but the total number of marbles is now only 15. So the probability of drawing yellow is 3/15 = 1/5
The probability of drawing first blue then yellow is the product of these two results = 1/4 * 1/5 = 1/20 = 5%
Answer:
[tex]\frac{1}{20}[/tex]
Step-by-step explanation:
To solve this problem, we can use the definition of probability: the amount of desirable outcomes divided by the total amount of outcomes. In order to find the probability of dependent events, events that depend on each other, we multiply the probability of the first event by the probability of the second event happening after the outcome of the first. Our two events are choosing a blue marble and then choosing a yellow.
There are a total of 16 marbles as given by the problem, this is our total number of outcomes. There are 4 outcomes where we can pick a blue marble, so the probability of choosing a blue marble is [tex]\frac{4}{16}[/tex] or [tex]\frac{1}{4}[/tex].
Now, we need to find the probability of choosing a yellow marble after the blue marble. If we already chose a blue marble, in total, there will only be 15 marbles instead of 16, because it is with out replacement. This gives us the total amount of outcomes. Next, we picked a blue already, so it does not affect the amount of yellow marbles left, which is 3 yellow marbles. From this, we can say the probability of picking a yellow marble given a blue marble was already picked is [tex]\frac{3}{15}[/tex] or [tex]\frac{1}{5}[/tex].
All we have to do now is multiply the two probabilities to find what we are looking for: [tex]\frac{1}{4} *\frac{1}{5} =\frac{1}{20}[/tex]. So, the probability of drawing a blue marble followed by a yellow marble is [tex]\frac{1}{20}[/tex]
find the surface area of the prism
Answers
Answer:
SA=96
Step-by-step explanation:
formula for triangular prism=bh+l(s1+s2+s3)
3*4/2*2=12
4*7=28
3*7=21
5*7=35
12+28=40+21=61+35=96
Heather earned $8.42 per hour during the first month of her new job. Then she got a raise and earned $9.08 per hour. What was the amount of her raise?
Answers
Answer:
.66 cents?
Step-by-step explanation:
i just subtracted but i feel like theres a catch
Answer:
.66 per hour raise
Step-by-step explanation:
9.08-8.42=.66 per hour raise
Find the measure of each interior angle and each exterior angle of a regular nonagon (a nine-sided polygon).
Measure of each interior angle =
x
5
?
Measure of each exterior angle =
Answers
Answer:
Interior-140° Exterior-40°
Step-by-step explanation:
The sum of the interior angles of a polygon are given by 180(n-2) where n is the number of sides.
Therefore, the sum of all interior angles in a nonagon is 180(9-2) or 180×7. This equals to 1260°.
To get the individual interior angle, you use [tex]\frac{s}{n}[/tex], with n defined above and s being the sum of interior angles.
Therefore, each angle is [tex]\frac{1260}{9}[/tex]°, which can be solved to 140°.
The value of an individual exterior angle is given by 180-i, with i being the individual interior angle (this is because the 2 angles form a straight line).
In this case, 180-140=40°.
Each interior angle of a nonagon is 140°, and each exterior angle is 40°.
**This content involves angles of polygons, which you may want to revise. I'm always happy to help!
PLEASE HELP ME ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
94
Step-by-step explanation:
the sample size of the first survey is 15+26+7 = 48
so, for 48 surveyed teachers we get 15 SUV drivers.
our expectations is to get the same ratio also for other sample sizes (like 300).
15/48 = x/300
x = 15×300 / 48 = 15×75 / 12 = 93.75 ≈ 94
Mr. Pratt was building a house. A ladder that is 10 ft. long is leaning against the side of a
building. If the angle formed between the ladder and the ground is 65 degrees, how far is
the bottom of the ladder from the base of the building? (Round to two decimal places)
Answers
Step-by-step explanation:
the answer is in the above image
Solve for x. Round to the nearest tenth of a degree, if necessary. Please help!!!!
45
W
V
92
Answers
Answer:
[tex]\displaystyle x^\circ \approx 29.3[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] sinθ = opposite over hypotenuseInverse TrigStep-by-step explanation:
Step 1: Define
Identify variables
Angle θ = x
Opposite Leg = 45
Hypotenuse = 92
Step 2: Solve for x
Substitute in variables [sine]: [tex]\displaystyle sin(x^\circ) = \frac{45}{92}[/tex]Inverse Trig: [tex]\displaystyle x^\circ = sin^{-1}(\frac{45}{92})[/tex]Evaluate: [tex]\displaystyle x^\circ = 29.2834436[/tex]Round: [tex]\displaystyle x^\circ \approx 29.3[/tex]Which of the following number lines shows the sum of the number above and 2.2?
Answers
Answer:
W
Step-by-step explanation:
hope this helps
the floor of a warehouse is 60m long 40m wide. find the cost of polishing the floor plzzz helpp
Answers
Answer:
Rs 192000
Step-by-step explanation:
area of floor = l*b
=60 * 40
=2400 m^2
cost of polishing per square cm of the floor is Rs 80
cost of polishing floor = 2400 * Rs 80
=Rs 192000
Two of the three views of a solid are shown. A. What is the greatest number of unit cubes in the solid? Greatest number of unit cubes: cubes b. What is the least number of unit cubes in the solid? Least number of unit cubes: cubes Question 2
Answers
Answer: hello the views attached to your question is missing hence I will provide a more general answer based on the scope of your question
answer :
a) 8 unit cubes
b) 1 unit cube
Step-by-step explanation:
The number of views a solid figure can have are : Top view , Front view and side view and The greatest number of unit cubes in a solid depends on the side length of the unit cube
a) For a unit cube with side length half ( 1/2) the Unit length of the given solid the greatest number of unit cubes = 8 while
b) The least number of unit cube = 1
Explain what one it is and why pls and thank you
Answers
Please help this is due today!!
Answers
Answer:
Answer is C
Hope this helped!
g(x) = 2x-5. Find g(3), g( 1/2), g(0), g(4), g(4). If g(a) - 99, find a.
f(x)= 3-4x. Find f(1), f(3), f(-2) ,f(1/2)
f(x)= x+3. find f(1), f(2), f(-3),f(0),f(1/2).
solve these please right now. no silly answer wolud not be allowed.
Answers
2(3)-5
6-5
1
g(1/2)
2(1/2)-5
1-5
-4
g(0)
2(0)-5
0-5
-5
g(4)
2(4)-5
8-5
3
I have to use completing the square then put it in vertex form, and I have no clue how the hell do to that.
Answers
Answer:
y=8(x+1)²-2
Step-by-step explanation:
Completing the square is a method of factorising. x²+bx+c=0 becomes x²+bx+([tex]\frac{1}{2}[/tex]b)²-([tex]\frac{1}{2}[/tex]b)²+c=0. This then gets converted to make an equation of (x+[tex]\frac{1}{2}[/tex]b)²+(-([tex]\frac{1}{2}[/tex]b)²+c)=0.
Vertex form is y=a(x-h)²+k.
8x²+16x+6=0 must first be divided by 8 to 8(x²+2x+[tex]\frac{6}{8}[/tex])=0 (as there cannot be a coefficient for x²).
This will become 8(x²+2x+[tex]\frac{2}{2}[/tex]²-[tex]\frac{2}{2}[/tex]²+[tex]\frac{3}{4}[/tex])=0.
From there, using the method above, we can convert it to 8[(x+1)²-1+[tex]\frac{3}{4}[/tex]]=0.
Solving this gets 8[(x+1)²-[tex]\frac{1}{4}[/tex]]=0.
With 8 as a, 1 as -h, and 8×-[tex]\frac{1}{4}[/tex] (-2) as k, we can input this into vertex format to get the result of y=8(x+1)²-2.
**This equation involves completing the square and vertex form, which you may wish to revise. I'm always happy to help!
10 points, will give brainliest . look at the picture!
Answers
Answer:
y/2
Step-by-step explanation:
Answer: y, because ΔABC ~ ΔEDC
Step-by-step explanation:
In the image we can see that angle D is equal to angle B because they are both marked as 65 degrees. Angle BCA is equal to DCE because they are vertical angles and vertical angles are congruent. Know that those are equal to each that must mean CED is equivalent to CAB because that's the last angle that corresponds with another. So, CED is y.
A: 105
B : 1,050
C: 9,450
D: 21
Answers
Answer:
1050
Step-by-step explanation:
We can use a ratio to solve
First find how many jam
210 - 189 =21
We want to find how many jam for 10500 printed
21 jam x jam
----------- = ----------------
210 printed 10500 printed
Using cross products
21 * 10500 = 210x
Divide each side by 210
21*10500/210 =x
1050=x
The agricultural practice of irrigation leaves behind which pollutant in the
soil?
O A. Salt
B. Acidic compounds
C. Nitrogen compounds
D. Pesticides
The answer is Salt !!
Answers
2
Which expression is equivalent to
Answers
explanation:
The eighth term in the series 2, 6, 18, 54, ___ is
4122
4374
5643
7434
Answers
Answer: I think it's 163
Step-by-step explanation:
it's multiplied by 3's
whats the value of x? -5(x + 7) = -14 + 2x
Answers
Answer: x=-3
Step-by-step explanation:
Ok let's start by using the distributive property
[tex](-5)(x)+(-5)(7)=-14+2x\\-5x-35=-14+2x[/tex]
Now subtract 2x from both sides
[tex]-5x-35-2x=2x-14-2x\\-7x-35=-14[/tex]
Next add 35 to both sides
[tex]-7x-35+35=-14+35\\-7x=21[/tex]
Finally divide both sides by -7
[tex]\frac{-7x}{-7} =\frac{21}{-7} \\x=-3[/tex]
Answer:
x = -3
Step-by-step explanation:
First, we compute -5(x + 7). -5(x + 7) = -5x - 35. Plugging this into the equation, we have -5x - 35 = -14 + 2x Next, we combine like terms by moving all terms with the variable x to the left side. We have -5x - 2x = -14 + 35. We simplify the equation into -7x = 21. Divide 21 by -7, and we get x = -3.
Please help me with my math asap
Answers
Answer:
90 - 63 = 27 degree
Step-by-step explanation:
need help ASAP due in a few min
Answers
Answer:
A
Step-by-step explanation:
T o show the inverse, the output becomes the input
The input is the output
The input is 2,4,6,8
The output is 1,3,5,7
They will also be in the same order so 1 went to 2 so 2 will go to 1
