Answer:
A linear function can be written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
If this line passes through the points (x₁, y₁) and (x₂, y₂), then the slope is:
a = (y₂ - y₁)/(x₂ - x₁)
We know that line f(x) passes through points (5, 0) and (10, 10)
Then the slope of f(x) is:
a = (10 - 0)/(10 - 5) = 10/5 = 2
then:
f(x) = 2*x + b
again, knowing that f(10) = 10 (because this line passes through point (10, 10) )
10 = 2*10 + b
10 = 20 + b
10 - 20 = b = -10
Then the equation of this line is:
f(x) = 2*x - 10
Now for g(x) we know that it passes through (-3, 0) and (2, 10)
then the slope is:
a = (10 - 0)/(2 - (-3)) = 10/5 = 2
g(x) = 2*x + b
And knowing that g(2) = 10 (because this line passes through point (2, 10) )
10 = 2*2 + b
10 = 4 + b
10 - 4 = b
6 = b
then:
g(x) = 2*x + 6
Then the equations are:
f(x) = 2*x - 10
g(x) = 2*x + 6
A) One transformation may be a vertical translation, and the other can be a horizontal translation.
This is a vertical translation, which is defined as:
For a function f(x), a vertical translation of k units is written as:
g(x) = f(x) + k
If k is positive, the translation is upwards
if k is negative, the translation is downwards.
And an horizontal translation of k units is written as:
g(x) = f(x - k)
if k is positive, the translation is to the right
if k is negative, the translation is to the left.
B)
For the vertical translation we have:
g(x) = f(x) + k
2*x + 6 = 2*x - 10 + k
6 = -10 + k
6 + 10 = k
16 = k
For the horizontal translation we have:
g(x) = f(x - k)
2*x + 6 = 2*(x - k) - 10
2*x + 6 = 2*x - 2*k - 10
6 = -2*k - 10
6 + 10 = -2*k
16 = -2*k
16/-2 = k
-8 = k
C)
The transformations are:
g(x) = f(x) + 16
or
g(x) = f(x - (-8))
Someone Please Help Me!
9514 1404 393
Answer:
discrete
Step-by-step explanation:
"The number of (anything)" means the possible values are counting numbers. The random variable involved is necessarily discrete.
PLEASE HELP!!
Question 1 of 5
Solve the following equation for x using a table of values (nearest fourth of a unit), graphing technology, and successive
approximation (three iterations). The solution lies between x = -2 and x = -1.
x + 3 = 2 (- x - 1)
Select the correct order that shows the least accurate to most accurate method of approximation.
Lowest Accuracy: Table of values: x= -1.5
Intermediate Accuracy: Successive approximations: x-1.5625
Highest Accuracy: Graphing technology: x-1.543
O
Lowest Accuracy: Table of values: X~ -1.5
Intermediate Accuracy: Graphing technology: x -1.543
Highest Accuracy: Successive approximations: x-1.5625
O
Lowest Accuracy: Successive approximations: x= -1.5625
Intermediate Accuracy: Table of values: x-1.5
Highest Accuracy: Graphing technology: x -1.543
o
Lowest Accuracy: Graphing technology: x-1.543
Intermediate Accuracy: Successive approximations: x= -1.5625
Highest Accuracy: Table of values: x-1.5
Answer:
lowest accuracy: Table of values:x=-1.5
intermediate accuracy: successive approximate: x=-1.5625
Highest accuracy: Graphing technology: x=1.543
Step-by-step explanation:
i just did this question
1.6 × 10^6 ÷ 4.8 × 10^5. Give your answer as a mixed number
Answer:
(10^11)/3
10^6 x 10^5 = 10^11
8/5 x 5/24 = 1/3
so multiply 10^11 and 1/3 together
Number of accounts managed
by each sales manager at Force Inc.
Box plot
30
40
50
60
70
80
90
100
What percent of sales managers at Force Inc, manage fewer than 35 accounts?
Answer:
Step-by-step explanation:
it is 20493
I need to know the answer to the question
Answer:
X=4
Step-by-step explanation:
Answer and Step-by-step explanation:
To get x, we need to put everything on the right. We start off by multiplying each side by 3.
3 × [tex](\frac{7+2x}{3} ) =[/tex] 5 × 3
7 + 2x = 15
Now, we subtract 7 from each side.
(7 + 2x) - 7 = 15 - 7
2x = 8
Finally, we divide each side by 2.
2x ÷ 2 = 8 ÷ 2
x = 4
The answer to this equation is x = 4.
I hope this helps!
A thanks and 5 stars + brainliests are appreciated, but I help to help!
#teamtrees #PAW (Plant And Water)
The drama club is selling tickets to their play to raise money for the show's expenses. Each student ticket sells for $6 and each adult ticket sells for $11. The auditorium can hold at most 100 people. The drama club must make no less than $770 from ticket sales to cover the show's costs. If xx represents the number of student tickets sold and yy represents the number of adult tickets sold, write and solve a system of inequalities graphically and determine one possible solution.
Answer:
Im not really sure what the question is asking but the drama club could sell 70 adult tickes and 30 student tickes and they would make $950.
Step-by-step explanation:
Answer:
possible solution (10,80)
Step-by-step explanation:
Variable Definitions:
x=the number of student tickets sold
y= the number of adult tickets sold
“at most 100 people"→100 or fewer tickets
Therefore the total number of tickets sold, x+y, must be less than or equal to 100:
x+y≤100
“no less than $770"→$770 or more
Each student ticket sells for $6, so x student tickets will bring in 6x dollars. Each adult ticket sells for $11, so y adult tickets will bring in 11y dollars. Therefore, the total amount of revenue 6x+11y must be greater than or equal to $770:
6x+11y≥770
Solve each inequality for y:
x+y≤100
y≤−x+100
6x+11y≥770
11y≥770−6x
y≥ -6/11x+70
Graph y≤100−x by shading down and graph y≥-6/11x+70
by shading up
y+7x=5
what is the slope intercept form? y=mx+b
need help please 9× > 108
Answer:
x > 12
Step-by-step explanation:
9x>108
x> 108/9
x > 12
Answer:
[tex] \boxed{ \tt{x > 12}}[/tex]
Step-by-step explanation:
[tex]9x > 108 \\ x > \frac{108}{9} \\ x > 12[/tex]
Help help help help help help help
Help meeeee pweaassee!!
Answer:
7. divide both sides by 18.
8. subtract 4 from both sides.
9. add 3 on both sides.
10. multiply by 6 on both sides
Hope that helps! :3
Step-by-step explanation:
Can I have some help please
Answer:
I think it's trapezium .
does the volume method length x width x height apply to all volume finding questions
Answer:
No.
Step-by-step explanation:
This only applies to solids like cubes and some prisms.
It does not apply to such solids are cylinders, pyramids, cones and triangular prisms. It will apply to a prism whose cross-section is a rectangle.
a.f(a)=22
b.f(a)=37
c.f(a)=32
d.f(a)=42
Answer:
with no question asked the answer could be anyone of the options
Step-by-step explanation:
IM MARKING BRAINLIEST
Valerie replaces one car alternator every 1.75 hours. She takes a 1-hour lunch break.
Which equation can be used to determine how many alternators she replaces in 8 hours?
Multiple choice question.
A)
1.75w−1=8
B)
1.75w+1=8
C)
18w−1=8
D)
18w+1=8
Answer:
A)
1.75w−1=8
Step-by-step explanation:
Please help and explain please. would appreciate it!
Answer:
area of ΔAPQ = 8 units²
Step-by-step explanation:
since the dimensions are 1/3 size, the area scale factor will be 1/9.
72/9 = 8 units²
Answer:
Step-by-step explanation:
A/4=72/12
A=4(72)/12
A=24 u^2
A local hotel has 158 rooms. Due to a scouting event, the entire hotel booked except for two rooms. If the girls scouts are using three times as many rooms as the boy scouts, how many rooms are the boy scouts using?
Answer:
39
Step-by-step explanation:
Let, total rooms girls booked be x and total rooms girls booked be y.
entire hotel was booked except two rooms.
so, total = 158-2 = 156
x+ y = 156
this is equation 1.
also, girls are using three times more room than boys.
so, y=3x
substituting y=3x in 1st equation,
x+ 3x = 156
or, 4x = 156
or, x= 156/4
x= 39
The identity a squared minus B squared equals parentheses a plus B parentheses parentheses a minus B parentheses is true for all values of ANB. Compute the whole number value of 2021 squared -2022The identity a squared minus B squared equals parentheses a plus B parentheses parentheses a minus B parentheses is true for all values of A and B. Compute the whole number value of 2021 squared -2020 squared
Question:
The identity [tex]A^2 - B^2 = (A + B) (A - B)[/tex] is true for all values of A and B. Compute the whole number value of [tex]2021^2 -2022^2[/tex]
Answer:
[tex]2021^2 - 2022^2 = -4043[/tex]
Step-by-step explanation:
Given
[tex]A^2 - B^2 = (A + B) (A - B)[/tex]
Required
Solve: [tex]2021^2 -2022^2[/tex]
In: [tex]2021^2 -2022^2[/tex]
[tex]A = 2021; B = 2022[/tex]
[tex]A^2 - B^2 = (A + B) (A - B)[/tex] becomes
[tex]2021^2 - 2022^2 = (2021 + 2022)(2021 - 2022)[/tex]
[tex]2021^2 - 2022^2 = (4043)(-1)[/tex]
[tex]2021^2 - 2022^2 = -4043[/tex]
I NEED HEEEEEEELP-
But- People can you guys give me a straight answer? I'm tired and have a headache from all this. I need to make this assignment.
..........
Answer:
C= 93⁰, B= 64⁰, D= 23⁰
Step-by-step explanation:
180= (4x + 1) + (3x - 5) + x⁰
180= 4x+1 +3x-5 +x
180= 8x - 4
184= 8x
184/8= x
23=x
therefore
C= (4(23) +1)
C= 93
B= (3(23)-5)
B= 64
D= 23
93⁰+64⁰+23⁰=180⁰
Write the slope-intercept form of the equation of the line parallel to the
graph of 2x + y = 5 that passes through (0, 1).
Answer:
y = -2x + 1Step-by-step explanation:
2x + y = 5 ← given line
2x + y = C ← any parallel line
The line passing through (0, 1), therefore:
2×0 + 1 = C
C = 1
2x + y = 1 ← the parallel line that passes through (0, 1)
To change it to slope-intercept form we just need to subtract 2x from both sides:
y = -2x + 1
Determine the value of each unknown angles.
HELP PLEASE DO ANY! I’ll give you brilliance
x + 83° = 180°
x = 180° - 83°
x = 97°
20 feet. The builder asks him to give the measurements in yards. What will be the length in yards?Immersive Reader
Answer:
6.67 yards
Step-by-step explanation:
20 feet. The builder asks him to give the measurements in yards. What will be the length in yards?
Please note that:
1 foot = 0.333 yard
20 feet = x yards
Cross Multiply
1 foot × x yards = 20 feet × 0.333 yards
x yards = 20 feet × 0.333 yards/1 foot
x yards = 6.66667 yards
Approximately = 6.67 yards
Therefore, the measurements in yards is 6.67 yards.
Anthony did 5 quizzes and got the following scores in percentage: 70%, 50%, 90%, 80% and 40%. wat is his average score?
As a business goal, a small electronics store looks to sell at least $7600 worth of televisions and projection systems per day. The price per television is $475 and the price per projection system is $360. In order to keep costs down, the owner never has more than 25 items total in the store.
The question is incomplete:
As a business goal, a small electronics store looks to sell at least $7600 worth of televisions and projection systems per day. The price per television is $475 and the price per projection system is $360. In order to keep costs down, the owner never has more than 25 items total in the store. Let x represent the number of televisions and y represent the number of projection systems sold in a given day. Write a system of inequalities that describes what is necessary to obtain the stores goal.
Answer:
The system of inequalities that describes what is necessary to obtain the stores goal is:
x+y≤25
475x+360y≥7600
Step-by-step explanation:
According to the information provided, you know that the owner never has more than 25 items total in the store which means that the sum of the amount of televisions and projection systems is less than or equal to 25, which can be expressed as:
x+y≤25, where:
x is the number of televisions
y is the number of projection systems
Also, the statement indicates that the price per television is $475 and the price per projection system is $360 and that the store looks to sell at least $7600 worth of televisions and projection systems per day. This means that the result of adding up the sales of televisions and projection systems should be greater than or equal to 7600:
475x+360y≥7600
The answer is that the system of inequalities that describes what is necessary to obtain the stores goal is:
x+y≤25
475x+360y≥7600
f=6 and p = 2
3f – 9p + 8 + f
Answer:
14
Step-by-step explanation:
18-18+8+6
0+14
14
hope this helped!
Answer:
Step-by-step explanation:
F = 6
P = 2
Then:
3.(6) - 9.(2) + 8 + 6
18 - 18 + 8 + 6
8 + 6
14
;D
What number is between 7.5 and 8
Answer:
7.75
Step-by-step explanation:
7.5+8=15.5
15.5/2=7.75
Which points make the equation below true?
y = 43x + 5
a. (1 , 7)
b. (6 , 13)
c. (21 , 33)
d. (99 , 137)
Answer:
b,c,d
Step-by-step explanation:
if its 43x, none of the point is true.
if its 4/3x:
a. Not true 4/3(1) + 5 = 6 1/3
b. True 4/3(6) + 5 = 13
c. True 4/3(21) + 5 = 33
d. True 4/3(99) + 5 = 137
What is the area of this shape hurry
Answer:
15 units squared
Step-by-step explanation:
sorry if im wrong
Answer:
12
Step-by-step explanation:
Area of triangle + area of square + area of triangle = total area
(Area of a triangle: A = 1/2bh)
(Area of a square: A = bh)
Area of smallest triangle =
A = 1/2 (2) (2) = 2
Area of largest triangle=
A = 1/2 (2) (6) = 6
Area of the square =
A = 2 x 2 = 4
Total shape:
2 + 4 + 6 = 12
Someone help me ASAP !
Answer:
31
Step-by-step explanation:
PLEASE HELP ME PLEASE PLEASE PLEASE
Answer:
Step-by-step explanation:
l/100 km means liters per 100 Kilometre. How many liters a car need for traveling 100 km.
Km/l means liter per km
help ASAP please! ill mark u brainliest
Answer:
box and whisker
Step-by-step explanation:
