We first need to consider the absolute value of x-2 to find the solution set of this inequality, The solution set of this inequality is (3, 4, 5).
What is absolute value?An absolute value is a number's distance from 0 on the number line.
Since the inequality is 1<|x-2|<5, we can then determine the two extreme points of the absolute value of x-2.
These points are 1 and 5.
Now, to find the solution set of this inequality, we need to find the two points that are 1 and 5 units away from the point x = 2.
The two points that are 1 and 5 units away from x = 2 are 3 and 5 respectively.
This is because the absolute value of x-2 has two extreme points, which are 1 and 5 units away from the point x = 2.
Therefore, the two points that are 1 and 5 units away from x = 2 are 3 and 5 respectively.
For more questions related to inequality
https://brainly.com/question/24372553
#SPJ1
z = 24a - 2b
solve for a
Answer:
a= (Z + 2b)/24
Step-by-step explanation:
given:
Z = 24a - 2b
to solve for a, we will try to move "a" to one side of the equation and all other terms to the other side:
Z = 24a - 2b (add 2b to both sides)
Z + 2b = 24a -2b +2b
Z + 2b = 24a (switch sides)
24a = Z + 2b (divide both sides by 24)
a/24 = (Z + 2b)/24
a= (Z + 2b)/24
What is the equation of the line in slope-intercept form?
Answer:
y = 4/3 + 4
Step-by-step explanation:
4/3 comes from using rise over run. 4 comes from the y-intercept.
Answer:
y = [tex]\frac{4}{3}[/tex] x + 4
Step-by-step explanation:
y = mx + b
m = [tex]\frac{rise}{run}[/tex] ; "b" is y-intercept
~~~~~~~~~~~
m = [tex]\frac{4}{3}[/tex] and b = 4
y = [tex]\frac{4}{3}[/tex] x + 4
Write an equation of the line given an intercepts. Express in standard form.
1. x – intercept is 4 and y – intercept is 3.
2. x – intercept is -2 and y – intercept is 5.
Answer:
Required equations in standard form are:
1. 3x+4y=12
2. -5x+2y = 10
Step-by-step explanation:
Standard form of equation is given as:
[tex]Ax+By = C[/tex]
1. x – intercept is 4 and y – intercept is 3.
The points will be:
(4,0) and (0,3)
Slope: m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m = \frac{3-0}{0-4}\\m = -\frac{3}{4}[/tex]
Slope intercept form of line is:
[tex]y = mx+b[/tex]
Putting the values of m and b(y-intercept)
[tex]y = -\frac{3}{4}x+3[/tex]
Multiplying whole equation by 4
[tex]4y = -3x+12\\3x+4y = 12[/tex]
2. x – intercept is -2 and y – intercept is 5
The points will be:
(-2,0) and (0,5)
Now
[tex]m = \frac{5-0}{0+2}\\m = \frac{5}{2}[/tex]
Putting the values of m and b in slope intercept form
[tex]y = \frac{5}{2}x+5[/tex]
Multiplying the equation by 2
[tex]2y = 5x+10[/tex]
[tex]-5x+2y=10[/tex]
Hence,
Required equations in standard form are:
1. 3x+4y=12
2. -5x+2y = 10
answered
If y = 3x and 2x – 4y = 3, then x=
Answer:
x= -3/10Step-by-step explanation:
putting value
2x - 4(3x) =3
2x- 12x = 3
-10x = 3
x = -3/10Simplify: 3(4x-5) - (3x+2)
Answer:
Step-by-step explanation:
3(4x-5)-3x+2 work the ()
12x-15-3x+2 combine like terms
9x-13
what is 4.25% as a decimal
Answer:
0.0425
Step-by-step explanation:
Answer:
0.0425
Step-by-step explanation:
hope this helped ^^
Shipping Company A charges $14 plus $2.25 a pound to ship overnight packages. Shipping Company B charges $20 plus $1.50 a pound to
ship an overnight package. For what weight is the charge the same for the two companies?
Let p represent the number of pounds. Select the correct values to write an equation to represent the situation
Answer:
8 pounds
Step-by-step explanation:
Shipping Company A = 14 + 2.25p
Shipping Company B = 20 + 1.50p
Where,
p = the number of pounds.
For what weight is the charge the same for the two companies
Equate the charges of the two companies
14 + 2.25p = 20 + 1.50p
14 - 20 = 1.50p - 2.25p
-6 = -0.75p
Divide both sides by -0.75
p = -6 / -0.75
= 8
p = 8 pounds
12 IF APOR is similar to AXYZ, which of the following statements must be true?
Answer:
F
Step-by-step explanation:
There's no Q in APOR or AXYZ
Which representation does not show y as a function of x?
Answer:
The letter j because the points have to be functioned as a straight line
Find the value of x that makes this a true statement (1/27)^x=3
Answer:
x = -1/3Step-by-step explanation:
Given
(1/27)^x=3Solving for x
(1/27)^x=3(1/3)^3x = 33^-3x = 3^1-3x = 1x = -1/332a + 28 = 0
(Factor completely.)
Answer: 0.875
Step-by-step explanation:
Select ALL 4 ways of displaying a relation.
Scatter plots
In words
Mapping Diagrams
Table
o Pie Graph
Graph
O Ordered Pairs
Answer:
Scatter plots
Pie graph
graph
in words
I WILL GIVE THE BRAINLIEST
Jack works after school. each day he earns a set amount, plus an hourly wage. the following table represents a linear function f jack can use to determine to his pay.
hours: 1, 2, 3 | Pay: 18, 28, 38
SLOPE is 10.
Using the slope, find the y-intercept and write the function.
Answer:
The y intercept is (0, 8). The equation of the function is f(x) = 10x + 8
Step-by-step explanation:
Given that after 1 hour of work, Jack will make 18 dollars and the slope is 10, subtract 10 dollars from 18 dollars to find his set amount, or y-intercept.
18 - 10 = 8 dollars.
Now that we have the m and b values, we can create our equation.
The equation in standard form is f(x) = mx +b, where m = the slope and b = the y-intercept. Plug our values in and the equation will be f(x) = 10x + 8. You can test if this is correct by plugging in x values from the table and seeing if your calculated value correctly corresponds to the given y value in the table.
This question is simple, (and you might get a brainliest if you answer within 5 minutes of the time it was posted!) It is basic, but you just have to answer quickly and with an actual answer and an good explanation: what is 1/2 Multiplied by (4+8) btw the answer has to be correct, and i will randomly pick someone's correct answer and explanation for brainliest! I might or might not pick the first person, it just depends to who i want to give the brainliest to. (P.S..........And please DON'T be a Karen and report this! I'm just tryna give someone a brainliest, so chill out, Karens!)
Answer:
6
Step-by-step explanation:
1/2 = .5
.5 x (4+8)
.5 x (12)
= 6
Sove the equation for all real solutions
-d^2-12d+4=-6d^2
Answer:
d=25 or d=2
Step-by-step explanation:
hope that helps!
Answer:
d=2/5 or d=2
Step-by-step explanation:
Step 1: Subtract -6d^2 from both sides.
−d2−12d+4−−6d2=−6d2−−6d2
5d2−12d+4=0
Step 2: Factor left side of equation.
(5d−2)(d−2)=0
Step 3: Set factors equal to 0.
5d−2=0 or d−2=0
d= 2/5 or d=2
what is 9 time 64 what does it equal to
Answer:
It's 576 if you mean 64 times 9!
Step-by-step explanation:
i need help with this one Eight cookies cost $12. At this rate, how much will 10 cookies cost?
Answer:
$15
Step-by-step explanation:
12/8 = 1.5 = 1.50 per cookie
1.50* 10 = 15
Find the missing terms in each geometric sequence.
1. 3, 12, 48 __, __
2. __, __, 32, 64, 128, ...
3. 120, 60, 30, __, __
4. 5, __, 20, 40, __, __
5. __, 4, 12, 36, __, __
The product of 5 and a number x is 1/4 What is the value of x?
x=19/4
x=1/20
x =5/4
x =4 3/4
Answer:
x=19/4
Step-by-step explanation:
The product of 5 and a number x is 1/4
If we estimate that 10 people can fit in a 5ft by 5ft area, then what would be your estimate of how many people can fit on a basketball court measuring 94ft by 50ft?
Answer:
1,880 people will fit in 94 ft by 50 ft
Step-by-step explanation:
We can estimate this using the area
For 5 ft by 5ft ; 10 people can fit in an area of 5 * 5 = 25 ft^2
In an area of 94 ft by 50 ft, the number of people that can fit will be;
let’s start with the area
Area = 94 * 50 = 4,700 square feet
10 people will fit in 25 square feet
x people in 4,700 square feet
25 * x = 10 * 4700
25x = 47,000
x = 47000/25
x = 1,880 people
1. At the beginning of the year, Maria had $100 in her savings account. She plans to spend $10 a
month on a music app. By the end of January, she will have $90, 580 by the end of February,
$70 by the end of March, and so on. Write an equation that describes the amount in her savings
at any given month. Be sure to describe what your variables represent.
What are the zeros of this function
1. Dilate A using P as the center of dilation and a scale factor of 3. Label the new point
A'.
2. Dilate Busing Pas the center of dilation and a scale factor of 2. Label the new point B'
Answer:
Step-by-step explanation:
Rule for the dilation of a point by a scale factor 'k',
(x, y) → (kx, ky)
If we impose this rule in this problem,
k = [tex]\frac{\text{Distance of A' from P}}{\text{Distance of A from P}}[/tex]
1). If k = 3
Therefore, Distance of A' from P = 3(Distance of A from P)
And point A' will be on the third circle.
2). If k = 2
Distance of B' from P = 2(Distance of B from P)
Since, B is on circle 2, B' will be on circle 4.
Now we can plot these points A' and B' on the graph.
After the dilation point A becomes A' and it is at a distance of 3 units from point P and after the dilation point B becomes B' and it is at a distance of 2 units from point P.
1)
Given :
Dilate A using P as the center of dilation and a scale factor of 3.
Let the coordinates of point A be (x,y) then after dilation point A becomes A'(3x , 3y). So, the distance of the point A' from the point P is 3 units
2)
Given :
Dilate Busing P as the center of dilation and a scale factor of 2.
Let the coordinates of point B be (x',y') then after dilation point B becomes B'(2x' , 2y'). So, the distance of the point B' from the point P is 2 units
For more information, refer to the link given below:
https://brainly.com/question/2856466
(3x +8) - 6(2.5x - 3)
Which property should be used next in this solution process?
3x + 2 + 3 = 7(x - 1) – 4
3x + 5 = 7(x - 1) – 4
A. Commutative Property of Addition
B. Identity Property of Multiplication
C. Associative Property of Multiplication
D.
Distributive Property
Answer:
niwebfasfbjsdfb
Step-by-step explanation:
jsdfhsdbfjhadsjbdsfhb
I need help with this
Answer:
A, B, and C
Step-by-step explanation:
We can substitute each number into each equation
2 < -1 + 5 true
2 > 1 true
1 > 0 true
A is correct
4 < -1 + 5 true
4 > 1 true
1 > 0 true
B is correct
3 < -0 + 5 true
3 > 0 true
0 > 0 true
C is correct
5 < -2 + 5 false
D is incorrect
Your MOM has a 72 boyfriends and your dad see your mom cheating on you by kissing them and 9 of them jump off the window how many boyfriends are in the room still?
Given:
Total number of boyfriends = 72
Number of boyfriends who jump off the window = 9
To find:
The remaining number of boyfriends.
Solution:
We need to subtract the number of boyfriend who jump off the window from the total number of boyfriends to get the remaining number of boyfriends.
[tex]\text{Remaining boyfriends}=72-9[/tex]
[tex]\text{Remaining boyfriends}=63[/tex]
Therefore, the number of remining boyfriends is 63.
Answer:
About 79 million
Step-by-step explanation:
Answer:
a lot
89 x 67= 292829
So hence that's the answer
Hope this helps! :)
I will mark brainly if anyone can answer this
-2-4(6p-5)
-5(v-6)+10v
and 25 pts
Answer:
Ich weiß nicht =13
die Antwort -2 -4 (6p-5)
Step-by-step explanation:
Please Help
Please let me know how to do it, I don't only want the answer. Thank you!
(4y+3)-(y-2)
(There is no equal sign in the math problem)
Find the Slope Of The A and B