Answer:
Avery is right, because [tex]g(x) = f(x)+2[/tex].
Cindy is right, because [tex]g(x) = f(x+1)[/tex].
Step-by-step explanation:
Let [tex]f(x)[/tex] and [tex]g(x)[/tex] functions, then [tex]g(x)[/tex] is the vertical translated version of [tex]f(x)[/tex] if and only if:
[tex]g(x) = f(x)+k[/tex], [tex]\forall \,k\in \mathbb{R}[/tex]
[tex]k = g(x)-f(x)[/tex]
If we know that [tex]f(x) = 2\cdot x + 1[/tex] and [tex]g(x) = 2\cdot x + 3[/tex], then:
[tex]k = (2\cdot x + 3) - (2\cdot x +1)[/tex]
[tex]k = 2[/tex]
Then, Avery is right, because [tex]g(x) = f(x)+2[/tex].
Let [tex]f(x)[/tex] and [tex]g(x)[/tex] functions, then [tex]g(x)[/tex] is the horizontal translated version of [tex]f(x)[/tex] if and only if:
[tex]g(x) = f(x+k)[/tex], [tex]\forall \,k\in \mathbb{R}[/tex]
If we know that [tex]f(x) = 2\cdot x + 1[/tex] and [tex]g(x) = 2\cdot x + 3[/tex], then:
[tex]g(x) = 2\cdot x + 3[/tex]
[tex]g(x) = 2\cdot x + 2 + 1[/tex]
[tex]g(x) = 2\cdot (x+1)+1[/tex]
[tex]g(x) = f(x+1)[/tex]
Then, Cindy is right, because [tex]g(x) = f(x+1)[/tex].
What is 3x+1-x=5 answer quick
Answer:
x=2
Step-by-step explanation:
3x+1-x=5
add like terms
2x+1=5
subtract 1 from both sides
2x=4
divide by 2 from both sides
x=2
Answer:
3x+1-x=5
2x+1=5
2x=4
x=2 please give me brainlist
Step-by-step explanation:
Please each value on the number line!
Which of the following is the slope of the line passing through the
points (-12, 16) and(-12, -5)?
Answer:
I think the slope is UNDEFINED
y²-y¹/x²-x¹
(-5)-(16)/(-12)-(-12)
-21/0
=Undefined
someone please tell me how to do this
Answer:
B
Step-by-step explanation:
r=√gm/v^2
how will I put this in an equation a giraffe is 4 tines as tall as a gorilla the gorilla is 6 feet tall
Answer:
WHY IS IT SO TALL
Step-by-step explanation:
WHY WHY WHY
find the values of x,y, and z
is made up of a whole number and a fraction.
Answer:
Wut
Step-by-step explanation:
I am only doing this for points :D Uwu
3. The variance of a set of positive numbers p.(p-5).(p-2), (p-3) (2p-5)is 5.84.
(a) Calculate the value of p.
Answer:
(a) p = 7
Step-by-step explanation:
The given parameters are;
p, (p - 5), (p - 2), (p - 3), and (2·p - 5) is 5.84
(a) Therefore we have;
The mean of the numbers = (p + (p - 5) + (p - 2) + (p - 3) + (2·p - 5))/5 = (6·p - 15)/5
The mean of the numbers = (6·p - 15)/5 = 6/5·p - 3
Using an online tool, we have;
The variance = (p - (6/5·p - 3))² + ((p - 5) - (6/5·p - 3))² + ((p - 2) - (6/5·p - 3))² + ((p - 3) - (6/5·p - 3))² + ((2·p - 5) - (6/5·p - 3))²/5 = 4/25·p² - 4/5·p + 18/5 = 5.84
Therefore, we have;
4/25·p² - 4/5·p + 18/5 = 5.84
4/25·p² - 4/5·p + 18/5 - 5.84 = 0
4/25·p² - 4/5·p - 2.24 = 0
Using the quadratic formula, we have;
p = (4/5 ± √((4/5)² - 4× 4/25×(-2.24)))/(2 × 4/25)
Which gives;
p = 7, or p = -2
Given that the numbers are positive, we have the only solution as p = 7
what is the value of ?
A store sells 3 cans of beans for $9. What is the price of 7 cans of beans?
Answer:
21
Step-by-step explanation:
because you divide 9 byy 3 and you get 3 so then you do 7 x 3 7x3 is 21
Q7. Average of 60 numbers are 55. When 10 more numbers are included, the average of
70 numbers become 75. Find the
average of 10 numbers.
Answer:
The average of the 10 numbers is 195
Step-by-step explanation:
The average of a set of numbers is the sum of the numbers dividing by their number
Average = The sum ÷ The number∵ The average of 60 numbers is 55
∴ The average = 55
∴ The number = 60
→ Substitute them in the rule above to find the sum of the numbers
∵ 55 = The sum ÷ 60
→ Multiply each side by 60
∴ 3300 = The sum
∴ The sum of the 60 numbers = 3300
∵ 10 more numbers are included
∵ The average of 70 numbers become 75
∴ The average = 75
∴ The number = 70
→ Substitute them in the rule above to find the sum of the numbers
∵ 75 = The sum ÷ 70
→ Multiply each side by 70
∴ 5250 = The sum
∴ The sum of the 70 numbers = 5250
∵ The sum of the 10 numbers that added is the difference between
the sums of the 60 and 70 numbers
∵ The difference between the sums = 5250 - 3300
∴ The difference between the sums = 1950
→ To find the average of them divide their sum by 10
∵ The average of the 10 numbers = 1950 ÷ 10
∴ The average of the 10 numbers = 195
Find the product.
(3x^2+7)(6x^2−4x+5)
Answer:
18x^4 − 12x^3 + 57x^2 − 28x + 35
Answer:1
8
4
−
1
2
3
+
5
7
2
−
2
8
+
3
5
Step-by-
Which expression is equivalent to 6(4c + 5) + 7?
Answer:
24c+37
Step-by-step explanation:
I need a check so just want some help
Answer and Step-by-step explanation:
We are told that AB is equal to 3x + 1.
BC is then half of AB, or [tex]\frac{3x+1}{2}[/tex].
AC is then 4 less than BC, or [tex](\frac{3x+1}{2} ) - 4[/tex]
To find the perimeter, we add all of these together.
3x + 3x/2 + 3x/2 = 6x
1 + 1/2 + (1/2 - 4) = -2
The final answer is 6x - 2.
#teamtrees #WAP (Water And Plant)
Kayla's school is selling tickets to the annual dance competition. On the first day of ticket sales the school
sold 3 senior citizen tickets and 5 child tickets for a total of $70. The school took in $216 on the second day by
selling 12 senior citizen tickets and 12 child tickets. Find the price of a senior citizen ticket and the price of a
child ticket.
Answer:
senior ticket = $10 child's ticket = $8
Step-by-step explanation:
s = senior ticket
c = child's ticket
We need to write 2 equations, and we have 2 unknowns, s and c.
3s + 5c = $70
12s + 12c = $216
First solve for s using the first equation.
3s + 5c = 70 Subtract 5c from each side
3s + 5c - 5c = 70 - 5c
3s = 70 - 5c Divide each side by 3
3s/3 = (70 - 5c)/3
s = [tex]\frac{70 - 5c}{3}[/tex]
Now plug in s into the second equation.
12s + 12c = 216
12([tex]\frac{70 - 5c}{3}[/tex]) + 12c = 216
[tex]\frac{12}{3}[/tex] (70 - 5c) + 12c = 216
4 (70 - 5c) + 12c = 216
280 - 20c + 12c = 216
280 - 8c = 216 Add 8c to each side
280 - 8c + 8c = 216 + 8c
280 = 216 + 8c Subtract 216 from each side.
280 - 216 = 216 - 216 + 8c
280 - 216 = 8c
64 = 8c Divide each side by 8
64/8 = 8c/8
64/8 = c
8 = c
Now plug c into the first equation and solve for s.
3s + 5c = 70
3s + 5(8) = 70
3s + 40 = 70 Subtract 40 from each side.
3s + 40 - 40 = 70 - 40
3s = 70 - 40
3s = 30 Divide each side by 3
3s/3 = 30/3
s = 30/3
s = 10
So a senior ticket costs $10 and a child's ticket costs $8.
Malike rented a paddle boat at the park for a fixed charge of $2.50 plus $1.50 per hour. She want to stay out on the water as long as possible. How many hour can be use the boat without spending more than $7.00
Answer:
Malike can use the boat for 3 hours.
Step-by-step explanation:
$2.50 for renting the boat plus $1.50 per hour. 3 hours x $1.50 = $4.50 + the $2.50 = $7 flat
Malike can use the boat for 3 hours without spending more than $7.00
What is inequality?A statement of an order relationship-greater than, greater than or equal to, less than, less than or equal to- between two numbers or algebraic equations.
Now it is given that,
Fixed charge of boat = $2.50
Charge per hour = $1.50
Now let t be the total hours use by Malike.
Total charge in t hour = 1.50t
Total spending on boat = 2.50 + 1.50t
Since. She wants to spend not more than $7.00
⇒ 2.50 + 1.50t ≤ 7
Subtracting 2.5 both the side we get,
1.50t ≤ 7 - 2.5
⇒ 1.50t ≤ 4.5
Dividing both the side by 1.5 we get,
t ≤ 3
this is the total hours she can use the boat without spending more than $7.00
Thus, Malike can use the boat for 3 hours without spending more than $7.00
To learn more about inequality :
https://brainly.com/question/13363104
#SPJ2
On a piece of paper, graph y< - 3/4 x + 2. Then determine which answer choice matches the graph you drew.
A
B
C
D
This graph represents inequality y < - 3/4 x + 2 which is correct option(A).
What is graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
This graph represents inequality y < - 3/4 x + 2
Learn more about graph
https://brainly.com/question/16608196
#SPJ2
The diameter of a cart wheel is 26 inches. How far will it
go in one rotation?
Step-by-step explanation:
To find the distance travelled, you first have to find the circumference. After all, that is the part which actually touches the ground in the first place. The formula for the circumference is 2πr = C, where π=3.14, r is the radius (or half diameter). As such, we can plug in the values:
2*3.14*(26/2)=C -> 6.28*13=C -> 81.64 in = C
Step-by-step explanation:
Commutative law under addition says- p + q = q + p. Commutative law under multiplication says p x q = q x p. Note- Rational numbers, integers and whole numbers are commutative under addition and multiplication. Rational numbers, integers and whole numbers are non commutative under subtraction and division.
Find the constant of variation for the relation and use it to write an equation for the statement. Then solve the equation.
If y varies as directly as the square of x, and y = 75/8 when x = 5, find y when x= 2
Answer:y=15/4
Step-by-step explanation:
start with general form y = kx. substitute in the pair of values you know for x and y.
75/8 = k(5) multiply both sides by 1/5 to solve for k, getting
15/8 = k
So your equation is y = (15/8)x substitute 2 for x to find your new y.
y = (15/8)2
y = 15/4
The plant runs 80 hours a week. A day has 24 hours. How many days does the plant run each week? ( hint: include the reminder.)
Answer:
Step-by-step explanation:
7?
Answer:
3 days and 8 hours
Step-by-step explanation:
80 ÷ 24 = 3.3333333333 (you get what i mean)
3 days and .3333333333 more of a day
24 ÷ 3 = 8
8 hours
3 days and eight hours
HOPE THIS HELPS
PLZZ MARK BRAINLIEST
yeah so can u help me
Answer:
5 + (-9) = -4
I hope this helps!
please help this is my last question
At football practice the coach ends practice with sprint drills. Starting at the endzone, players sprint to the 10 yard line and back, the 25 yard line and back, and finally the 50 yard line and back. How much ground in yards is covered if all 11 players complete the drill.
Answer:
100
Step-by-step explanation:
Answer:170 because they ran back each time and an re ran the yards again im not sure about this though so check again
Step-by-step explanation:10+10+25+25+50+50=170
Would you classify the number 55 as a perfect square, perfect cube, both, or neither
Answer:
Neither
Step-by-step explanation:
What is the equation of the line that passes through the point (5,-2) and has a slope of -2/5?
Answer:
y= -2/5x -2
Step-by-step explanation:
y = mx + b
jxjxjxjxnxjddjdjdjdjj
A candle is lit and burns at a constant rate of change until it is completely burned. When the candle has been burning for 2.7 hours it is 14.3 inches tall and when it has been burning for 7.1 hours it is 4.2 inches tall. At what constant rate did the candle burn?
Answer:
2.29 inches/hour
Step-by-step explanation:
Given that the candle burns at a constant rate.
After time 2.7 hours, candle was 14.3 inches tall.
After time 7.1 hours, candle was 4.2 inches tall.
To find:
The constant rate at which the candle burn.
Solution:
Let the length be represented by [tex]l[/tex] and time be represented by [tex]t[/tex].
Let the constant rate be [tex]m[/tex].
and the initial length be [tex]L.[/tex]
The equation can be written as:
[tex]l =mt+L[/tex]
At [tex]t[/tex] = 2.7 hours , [tex]l[/tex] = 14.3 inches
[tex]14.3 =2.7m+L ..... (1)[/tex]
At [tex]t[/tex] = 7.1 hours , [tex]l[/tex] = 4.2 inches
[tex]4.2 =7.1m+L ..... (2)[/tex]
Equation (1) minus (2):
[tex]10.1=-4.4m\\\Rightarrow m = - 2.29\ inches/hour[/tex]
The candle burns at the rate of 2.29 inches/hour.
Plz help me give 13 point it’s timed helpplz
Answer:
yyyy
Step-by-step explanation:
Please help!!!!!!!!!
Answer:
hopes it's helps
Step-by-step explanation:
I got 20 blocks for my answer
Answer:
20 blocks from the bottom
Step-by-step explanation:
red - 3. 6. 9. 12. 18. 21. 24. 27.
green - 5. 10. 20. 25.
yellow - 15. 30.
the 20th block is the third painted green block from the bottom
Halp, the answer is either A, B, C, or D
Answer:
D
Step-by-step explanation:
Answer:
The answer is A
Step-by-step explanation:
Find the Midpoint of a segment with the following endpoints. Type your
final answer in the provided box
(-1, 4) and (4,1)
Answer:
3/2;5/2
Step-by-step explanation:
-1+4/2 ; 4+1/2
3/2 ; 5/2
Pls give me the answer only if you know! Thanks!
Answer:
Angle Side Angle, aka ASA. The triangle LAP is congruent to triangle TAX
Step-by-step explanation:
Angle P and x are congruent, side AX and AP are congruent, and angle LAP and angle TAX are congruent because vertical angles are congruent.
#teamtrees #WAP (Water And Plant)