Answer:
f(x) = -2x + 8, x < 2
g(x) = 2x, x 》2
Step-by-step explanation:
|x - 2| is:
x - 2, for x 》2
-x + 2, for x < 2
For x < 2,
f(x) = 2(-x + 2) + 4
f(x) = -2x + 8
For x 》2,
g(x) = 2(x - 2) + 4
g(x) = 2x
The two linear functions for the given mode function y = 2|x - 2| + 4 will be y = -2x + 8 and y = 2x.
What is a linear function?A straight line on the coordinate plane is represented by a linear function.
The formula for a linear function is f(x) = ax + b, where a and b are real values.
In another word, a linear function is a function that varies linearly with respect to the changing variable.
As per the given mode function,
y = 2|x - 2| + 4
For x < 2 , |x - 2| = -(x - 2)
y = -2(x - 2) + 4
y = -2x + 4 + 4
y = -2x + 8
For x > 2, |x - 2| = x - 2
y = 2(x - 2) + 4
y = 2x - 4 + 4
y = 2x
Hence "The two linear functions for the given mode function y = 2|x - 2| + 4 will be y = -2x + 8 and y = 2x".
For more about the linear function,
brainly.com/question/21107621
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Please Help me solve it. Thanks in Advance!
Answer:
27π
Step-by-step explanation:
First, find the area as though the circle were complete.
A = πr²
A = π(6)²
A = 36π
Now, if you look at the diagram, you can see that the chunk missing forms a 90 degree angle. In a circle, there is 360 degrees in total. This means that only 3/4 of the circle is left. Multiply the area by 3/4.
36π × 3/4 = 27π
The area is 27π.
गुणोत्तर अनुक्रम र श्रेणी (GEOMETIC SEQUENCE & SERIES)
12A. एउटा गुणोत्तर श्रेणीको तेस्रो र छैटौँ पदहरू 1 : 8 को अनुपातमा छन् । यदि आठौं पद 384 भए सो श्रेणीको पाचौं पद पत्ता लगाउनुहोस् ।
The third and sixth terms of a geometric series are in the ratio of 1 : 8. If eighth term of the series is 384
then find the fifth term.
Answer:
i think its 34
Step-by-step explanation:
HELP PLEASEE,
What is the value of X in the triangle?
Answer:
this is the answer
hope it help you
the total surface area of a cube is 294cm2
Work out the volume of the cube.
Answer:
343cm³
Step-by-step explanation:
294:6=49
square root of 49=7
7³= 343cm³
complete the table of values fory=2x^2+x
Complete question:
y = 2x² + 2x - 3
x = -2 -1 0 1 2
Answer:
Complete table of values
x: -2 -1 0 1 2
y: 1 -3 -3 1 9
Step-by-step explanation:
Given;
y = 2x² + 2x - 3
To complete the table of values of the equation above, we substitute the value of x into the given equation and solve for y.
when, x = -2
y = 2(-2)² + 2(-2) - 3
y = 8 - 4 - 3
y = 1
when x = -1
y = 2(-1)² + 2(-1) - 3
y = 2 - 2 - 3
y = -3
when x = 0
y = 2(0)² + 2(0) - 3
y = 0 - 0 - 3
y = -3
when x = 1
y = 2(1)² + 2(1) - 3
y = 2 + 2 - 3
y = 1
when x = 2
y = 2(2)² + 2(2) - 3
y = 8 + 4 - 3
y = 9
Complete table
x: -2 -1 0 1 2
y: 1 -3 -3 1 9
What is the area of the shaded region
Answer:
A≈28.27
Step-by-step explanation:
Solved for area
Shape: circle
Radius: 3cm
Formula: A=πr2
Answer: A≈28.27
Hope this helps.
correct answer.
Consider the two similar cylinders. The heights of both cylinders are given, along with the diameter of the smaller cylinder. What is the diameter
of the larger cylinder?
48 in
32 in
12 in
Figures not drawn to scale
А
28 inches
B
20 inches
18 inches
Answer:
18 inches
Step-by-step explanation:
Given: The heights of both cylinders are 48 inches and 32 inches. Diameter of the larger cylinder is 12 inches
To find: diameter of the larger cylinder
Solution:
Height of the larger cylinder (H) = 48 inches
Height of the smaller cylinder (h) = 32 inches
Diameter of the smaller cylinder (d) = 12 inches
Radius of the smaller cylinder (r) = d/2 =12/ 2= 6 inches
As two cylinders are similar, their heights and radii are proportional.
[tex]\frac{r}{h}=\frac{R}{H}\\\frac{6}{32}=\frac{R}{48}\\R=\frac{6}{32}\times 48=9\,\,inches[/tex]
Diameter of the larger cylinder = 2R = 2(9) = 18 inches
Which of the following functions is graphed below?
Answer:
idk man if you want to add a picture click the paperclip thingy though
A car travels 100 meters in 5 seconds. What is the speed of the car in miles per hour?
speed = distance over time; 1 mile = 1609 meters
Answer: 5,000 you'll welcome
Step-by-step explanation:
Ella has $50,000 is a saving account. The savings collect interest at an 8% annual rate that compounds every year. How much money will be in Ellas account after 5 years?
Answer:
210000$
Step-by-step explanation:
1st we find the SI which will be P*R*T/100=50000*8*5/100
=32000
32000 will be added per year
32000*5=160000 for 5 years
160000+50000=210000$
For a right triangle, what happens to the value of sine as the angle increases?
Answer:
In a right triangle, as the angle increases, the value of the sine increases.
Step-by-step explanation:
Think of the unit circle, a circle with radius 1 unit centered at the origin which is the point with coordinates (0, 0). Draw a radius of the circle from the center, to point (1, 0) on the positive x-axis. The angle formed by this radius and the positive x-axis is 0 degrees. This is an angle in standard position. The endpoint of the radius on the circle has a y-coordinate. The y-coordinate is the sine of the angle. As you choose points on the circle going up from the positive x-axis, the angle formed by the radius connected to the point on the circle and the positive x-axis increases in measure until it coincides with the positive y-axis, where it has a measure of 90 degrees. The sine of the angle is always the y-coordinate of the point on the circle. As the angle increases from 0 to 90 degrees, the y-coordinate increases from 0 to 1. The acute angles of a right triangle can have measures of only between 0 and 90 degrees.
Answer: In a right triangle, as the angle increases, the value of the sine increases.
in your sock drawer, you have 12 blue socks and 12 yellow socks. It is dark in the morning when you were getting dressed, and you can’t see the color of the socks. What is the probability of randomly picking a yellow sock?
A.) 1/23
B.) 1/2
C.) 1/12
D.) 1/11
E.) 1/24
Answer:
1/2
Step-by-step explanation:
There are 12+12 = 24 socks in the drawer
P(yellow) = number of yellow socks/ total socks
= 12/24
=1/2
x + 12.2 = 42.33
Please solve for x
☺ Please Mark Brainliest ☺
Answer:
x=30.13
Step-by-step explanation:
x + 12.2 = 42.33
-12.2 = -12.2
----------------------
x=30.13
Answer:
x=30.13
Step-by-step explanation:
i think idrk i put in my calculator and got this
wanna make me brainliest
Kylie sent a chain letter to her friends, asking them to forward the letter to more friends. The relationship between the elapsed time t tt, in hours, since Kylie sent the letter, and the number of people, P ( t ) P(t)P, left parenthesis, t, right parenthesis, who receive the email is modeled by the following function: P(t)=(1.09)6t+25.5 Complete the following sentence about the hourly percent change in the number of people who receive the email. Round your answer to the nearest percent.
Answer:
68%
Step-by-step explanation:
I just did it on Khan Academy!
I hope this helps! ;)
Answer:
68% in addition to
Step-by-step explanation:
Khan Academy
how to simplify y- 3/3 +12
Answer:
11+y
Step-by-step explanation:
3/3 evaluates to 1
Y-3/3 evaluates to y-1
So the answer is y-1
CAN SOMEONE PLZ HELP ME
Answer:
the first one
4*10^12
Step-by-step explanation:
Answer:
4000000000
Step-by-step explanation:
(600000000) / (0.00015)
4000000000
4*10^12
Solve using synthetic division.
(x2 + 3) ÷ (x − 1)
Answer:
2x+3 / x = 1
Step-by-step explanation:
(4,3.5,5,5.5,4,2)
What is the mean of City A?
a.)4
b.)5
c.)8
d.)12
Answer: 4
Order the Numbers
Before: 4,3.5,5,5.5,4,2
After: 2,3.5,4,4,5,5.5
Add
2+3.5+4+4+5+5.5=24
Divide
24÷6=4
Please help with this!!
Answer:
200
Step-by-step explanation:
As you can see the line marks and meets up with 200 as it marks with 60
PLZ HELP 20 PTS
Match each value to the correct entry in matrix AB.
Answer:
Step-by-step explanation:
The matrix AB is:
[tex]AB=\left[\begin{array}{ccc}50&44&-43\\31&16&7\\37&119&-94\end{array}\right][/tex]
-----------------------------------
This question is solved using multiplication of matrices.
To do this, we multiply the lines of the first matrix by the columns of the second.
-----------------------------------
In this question:
The first matrix is:
[tex]A =\left[\begin{array}{ccc}5&7&2\\4&-1&3\\6&8&-5\end{array}\right][/tex]
The second matrix is:
[tex]B = \left[\begin{array}{ccc}6&11&-4\\2&1&-5\\3&-9&6\end{array}\right][/tex]
------------------------------------
First line:
The first element is the multiplication of the first line of A by the first column of B. So: [tex]AB_{1,1} = 5\times6 + 7\times2 + 2\times3 = 50[/tex]The second element is the multiplication of the first line of A by the second column of B. So:[tex]AB_{1,2} = 5\times11 + 7\times1 + 2\times -9 = 44[/tex]The third element is the multiplication of the first line of A by the third column of B. So:[tex]AB_{1,3} = 5\times -4 + 7\times-5 + 2\times6 = -43[/tex]------------------------------------
Second line:
Second line of A by each column of B, so:
[tex]A_{2,1} = 4\times6 - 1\times 2 + 3\times3 = 31[/tex]
[tex]A_{2,2} = 4\times11 - 1\times 1 + 3\times (-9) = 16[/tex]
[tex]A_{2,3} = 4\times(-4) - 1\times (-5) + 3\times 6 = 7[/tex]
------------------------------------
Third line:
Third line of A by each column of B, so:
[tex]A_{3,1} = 6\times6 + 8\times 2 - 5\times3 = 37[/tex]
[tex]A_{3,2} = 6\times11 + 8\times 1 - 5\times (-9) = 119[/tex]
[tex]A_{3,3} = 6\times(-4) + 8\times (-5) - 5\times 6 = -94[/tex]
------------------------------------
Thus, the matrix is:
[tex]AB=\left[\begin{array}{ccc}50&44&-43\\31&16&7\\37&119&-94\end{array}\right][/tex]
A similar question is found at https://brainly.com/question/12088021
A fertilizer covers 2 3 square foot in 1 4 hour. The unit rate is square feet per hour.
23/14=1.6 square feet per hour
How many kilograms are equivalent to 5 pounds
Answer:
approximately 2.26796
Step-by-step explanation:
this is bc 1kg is 2.205 lb. so 5 divided by 2.205
Help me I’m begging you please
Answer:
Air pressure = [tex]4.6\frac{\text{lb}}{\text{in}^{2} }[/tex]
Step-by-step explanation:
Relationship between air pressure and altitude can be modeled by,
P = 14.7e[tex]14.7e^{-0.00004h}[/tex]
Where P = Air pressure
and h = altitude above the sea level
Air pressure on Mount Everest having altitude = 29028 feet abve the sea level will be,
P = [tex]14.7e^{-0.00004\times 29028}[/tex]
= [tex]14.7\times e^{-1.16112}[/tex]
= 4.603
≈ 4.6 [tex]\frac{\text{lb}}{\text{in}^{2} }[/tex]
Therefore, air pressure on Mount Everest = 4.6 [tex]\frac{\text{lb}}{\text{in}^{2} }[/tex]
Type the correct answer in the box
6 inches across
12 inches up and down
A machine part consists of a half sphere and a cylinder, as shown in the figure. The total volume of the part is ____ pie cubic inches.
Answer:
126 pie cubic inches.
Step-by-step explanation:
i dont have one^ but i completed the test with a 100%
Gloria has a $125,000 home financed with a 30-year loan at 6%. If she wished to pay one extra monthly payment each year, how many months will t take her to pay off her mortgage?
Answer:
295 months
Step-by-step explanation:
You want to know the number of months required to pay off a 30-year loan of $125000 at 6% if an extra payment is made each year.
Number of paymentsThe number of payments required will depend on the actual payment schedule, and the way the lender computes interest due.
The attached calculation shows it takes 319 payments. The assumption is that they are evenly spaced at 13 payments per year (one every 4 weeks), and the interest is computed on the interval between payments.
Number of monthsIf 13 payments are made per year, the number of years it takes to pay off the loan will be ...
319/13 = 24 7/13
24 years and 7 months is 295 months.
__
Additional comment
If the first payment is made on Jan 28, and payments are made every 4 weeks, there will be 2 payments in Dec. That is, except for the last month of the year, there will be 1 payment per month.
If regular monthly payments are made, but one of the payments is doubled, the result may be different.
Given the function
Calculate the following values
Answer: 1. F(-1)= 8(-1)-8
2. F(0)= 8(0)-8
3 F(2)= 8(2)-16
Step-by-step explanation:
i think i got some wrong i haven't these math [problem in a long time
To mail a letter first class, the us postal service charges $0.34 for the first ounce and $0.21 for each additional ounce. What will be the weight of a letter costing 5.76?
Answer:
25.599
I think
Step-by-step explanation:
if its right can u please give me the brainilest
Zhen is an audiobook narrator. The table gives some completed audio lengths and the amount of time Zhen spends researching, recording, and editing the audiobook.
Completed length of audiobook (hours) Working time (hours)
1 6 1/2
3 1/2 22 3/4
7 45 1/2
10 65
What does 6 1/2 mean in this sitiuation?
a. Zhen 6 1/2 hours working for every hour of the completed audiobook.
b. Zhen completes 6 1/2 audiobooks in an hour.
c. Zhen spends 6 1/2 hours working per audiobook.
Answer:
c. Zhen spends 6 1/2 hours working per audiobook.
Step-by-step explanation:
The table below gives some completed audio lengths and the amount of time Zhen spends on the audiobook.
[tex]\left|\begin{array}{c|c}$Completed length of audiobook (hours) &$Working time (hours)\\---------&--------\\1&6\frac{1}{2} \\\\3\frac{1}{2}&22\frac{3}{4}\\\\7&45\frac{1}{2}\\\\10&65\end{array}\right|[/tex]
We observe that from the table, in 6.5 hours, Zhen completes 1 audiobook.
In fact, across the table:
[tex]\dfrac{6\frac{1}{2}}{1}=\dfrac{22\frac{3}{4}}{3\frac{1}{2}}=\dfrac{65}{10}=6\dfrac{1}{2} $ hour per audiobook[/tex]
Therefore, in this situation, 6.5 hours mean that Zhen spends 6.5 hours working per audiobook.
The correct option is C.
Find the simple interest on 500 at 6% for 1 year
Answer:
Interest = $30
Step-by-step explanation:
Formula:
I = prt or I = p · r · t
So:
I = p r t
I = ($500)(.06)(1) <--- Just multiply all of these numbers and you get the final answer of:
Interest = $30.00 or just $30
referring to the table below, are the events is female and owns a dog independent?
Answer:
No
Step-by-step explanation:
They are independent iff:
P(F & D) = P(F) × P(D)
15.278/100 = (55/100) × (27.778/100)
0.15278 = 0.125279 (false)
Therefore, not independent