Answer:
[tex]f(6) = f(-6)[/tex] --- True
[tex]f(6)=2 * f(3)[/tex] --- False
Step-by-step explanation:
Given
[tex]f(x) = \frac{x^2}{3} - 2[/tex]
Solving (a): f(6) = f(-6)
First, we solve for f(6) by substituting 6 for x in [tex]f(x) = \frac{x^2}{3} - 2[/tex]
[tex]f(6) = \frac{6^2}{3} - 2[/tex]
[tex]f(6) = \frac{36}{3} - 2[/tex]
[tex]f(6) = 12 - 2[/tex]
[tex]f(6) = 10[/tex]
Next, we solve for f(-6) by substituting -6 for x in [tex]f(x) = \frac{x^2}{3} - 2[/tex]
[tex]f(-6) = \frac{-6^2}{3} - 2[/tex]
[tex]f(-6) = \frac{36}{3} - 2[/tex]
[tex]f(-6) = 12 - 2[/tex]
[tex]f(-6) = 10[/tex]
We have that:
[tex]f(6) = f(-6) = 10[/tex]
Hence, the statement is true
Solving (b): [tex]f(6)=2 * f(3)[/tex]
We have that:
[tex]f(6) = 10[/tex]
Next, we solve for f(3) by substituting 3 for x in [tex]f(x) = \frac{x^2}{3} - 2[/tex]
[tex]f(3) = \frac{3^2}{3} - 2[/tex]
[tex]f(3) = \frac{9}{3} - 2[/tex]
[tex]f(3) = 3 - 2[/tex]
[tex]f(3) = 1[/tex]
[tex]2 * f(3) = 2 * 1[/tex]
[tex]2 * f(3) = 2[/tex]
So:
[tex]f(6)=2 * f(3)[/tex]
[tex]10 \neq 2[/tex]
Hence, the statement is false
What is the value of x pls help
Answer:
118
Step-by-step explanation:
Answer:
118⁰
Step-by-step explanation:
37⁰+25⁰= 62 ⁰
180⁰-62⁰= 118⁰
Cheri has a box of cookies to share with her friends. If she gives each friend 6 cookies, she will have 1 cookie left over. If she gives each friend 4 cookies, she will have 29 cookies left over. How many friends does Cheri have?
30 because you ads the total remaining/
Can someone help me with this
Answer:
Step-by-step explanation:
It pretty simple, you need to read the sentence and match the number.
Ex:
Seven more than one half = 7 more than 1/2
= 7+ 1/2
Because ‘more’ shows that you’re adding
While difference shows you’re subtracting
Quotient shows you’re dividing
And product shows you’re multiplying
And when it refers to ‘a number’ it means your variable which in this case is ‘n’.
If you answer this I'll mark you the brainest
Four bots are preparing for a final click battle.
Order the bots to show how they will place
Answer:
Bot C, A, D, and B
Step-by-step explanation:
Answer: c,a,d,b
Step-by-step explanation: c is the fastest a is second fastest d is third, b is last
Use f(x) = 2x + 5
Find f^-1 (11)
Answer:
If you're looking for the inverse, the answer is:
[tex]\frac{x}{2}-\frac{5}{2}[/tex]
The x- intercept is the ________ to a function or group
Answer:
is the point
Step-by-step explanation:
...............
What is the kinetic energy of a toy truck with a mass of 0.75kg and a velocity of 4 m/s (Formula: KE= 1/2mv2)
Answer:6
Step-by-step explanation:
What is the answer?❤️✌️
Answer:
b
Step-by-step explanation:
Harry has a total of 90 coins. The coins are either dimes or quarters. If he has 40 quarters, what is the ratio of quarters to dimes? Give your answer as a ratio using a colon in the simplest form.
Answer:
The ratio of quarters to dimes is 4:5 .
Step-by-step explanation: when you subtract 40 from 90, you get 50. If you create a 40:50 ratio, it simplifies to 4:5 .
Write the equation for the line that goes through (-7,-17) and is perpendicular to the line y=7x + 6
a hexagon has interior angles the measure 127, 85, 121, 135, and 139 find the measure of the remaining angle.
Please help i need ths asap
Answer:
113º
(pls mark brainliest if possible)
Step-by-step explanation:
Hexagon has sum of interior angles as 720º
127+85+121+135+139+x=720
607+x = 720
x= 113º
For khan academy . Need answer immediately
It's easy just use y=mx+b form ok?
Solve for x. For the equation
Answer:
x=y/m - b/m
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Baker Jo has 429 apples
Each apple pie requires 8
apples to make If she
makes as many apple ples
as possible, how many
apples will she have
remaning?
apples
HELP NOW!!?!! who ever gets all three of them right gets brainlist and (15 points) *questions in photo*
Answer:
1. 1,518,720
2. B = 458
3. Leah
Step-by-step explanation:
1. In order to get the first answer you must multiply 48 by 56 and then multiply that by the cost per feet to get your answer.
[tex]48=56[/tex]
[tex]48\times56=2688[/tex]
[tex]2688\times565=1518720[/tex]
[tex]=1518720[/tex]
2. In order to get the answer to this question you need to find the amount of necklaces both girls created and then multiply that number by the number of beads on those necklaces.
[tex]G=106[/tex]
[tex]106+39=145[/tex]
[tex]L=145[/tex]
[tex]106\times104=210[/tex]
[tex]145\times104=249[/tex]
[tex]210+249=459[/tex]
[tex]=458b[/tex]
3. In order to find the answer to this question you need to calculate how much each the girls made then compare.
[tex]G=106[/tex]
[tex]L=145[/tex]
[tex]106\times14=1484[/tex]
[tex]14+10=24[/tex]
[tex]145\times24=3480[/tex]
[tex]1484 < 3480[/tex]
[tex]=3480L[/tex]
Hope this helps.
The solution shown for the equation is incorrect. What is the correct solution? What is the error?
-5 (4 - r) = 15
-20 - 5r =15
-5r = 35
r = -7
Mr. Lester needs less than 12 cup but more than 13 cup of flour to make a sauce. Which of the following could be the amount of flour that he needs?
1/4 cup
7/12 cup
3/8 cup
7/8 cup
Answer:
3/8 cup
Step-by-step explanation:
To figure out how many cups of flour he could use, let's convert the fractions into decimals. We are told that amount he needs is less than 1/2 and more than 1/3.
1/2 = 0.50
1/3 = 0.33
So, the amount he needs is less than 0.50 and more than 0.33. Now let's convert the answer choices to decimal form:
1/4 = 0.25
7/12 = 0.58
3/8 = 0.38
7/8 = 0.88
The only answer choice that is less than 0.50 but greater than 0.33 is 0.38, or 3/8 cup.
Find the quotient of -132 and 6.
Answer:
-22
Step-by-step explanation:
Answer:
-22
Step-by-step explanation:
-132 ÷ 6 --- Divide
Select an expression that is equivalent to 3(n − 3) + 4. (1 point)
a
3n + 1
b
3n − 5
c
3n + 13
d
3n − 3
Answer:
C. 3n+13
Step-by-step explanation:
When you simplyfy 3(n-3)+4 you get 3n-9 +4, Then you add 4 to 9 since addition comes before subtraction and you would get the answer 3n+13.
C(-1,6);y=2/5x-2 what is the equation of the parallel lines.
9514 1404 393
Answer:
y = 2/5x +32/5
Step-by-step explanation:
The given line is in slope-intercept form.
y = mx + b . . . . . . m is the slope; b is the y-intercept
The value of the slope in the given line is m=2/5. A parallel line will have the same slope. In general, it will have a different y-intercept. That value can be found from the given point.
y = 2/5x + b
6 = 2/5(-1) +b
6 +2/5 = b = 32/5
The equation of the parallel line through (-1, 6) is ...
y = 2/5x +32/5
Helppppp will give the crown
PLEASE HELP ASAP:(.....
Answer:
5
Step-by-step explanation:
23 - 10 = 13
13 - 8 = 5
Answer:
5
Step-by-step explanation:
p = a + b + c
23 = 8 + 10 + c
23 = 18 + c
5 = c
The Wildcats scored an average of 56 points per game during their four-game season. If the scores for their first three games were 48, 57, and 52, what was the score of their last game?
Answer:
67
Step-by-step explanation:
Use the average formula: average = sum of elements / number of elements
Let x represent the score of their last game, and plug in the average, other scores, and number of elements into the equation:
56 = (48 + 57 + 52 + x) / 4
Simplify:
56 = (157 + x) / 4
Solve for x, by first multiplying each side by 4:
224 = 157 + x
Subtract 157 from both sides:
67 = x
So, the score of their last game was 67.
Each square in the grid is a unit square with an area of 1 square unit. What is the area of the figure? square units
Answer:
The total area of the figure is: 16 square units
Step-by-step explanation:
The Area is basically a measure of how much space in square units there is inside an object.
Given that each square in the grid is a unit square with an area of 1 square unit.
The figure clearly shows that there are 14 complete squares and 4 half square units.
Thus, the total area of the figure is:
(1 × 14) + (1/2 × 4)
=14 + 2
= 16 square units
Therefore, the total area of the figure is: 16 square units
what is the slope of 1.5x+4.5y=18
Answer:
The x intercept is (12,0)
Step-by-step explanation:
1.5x+4.5y=18 Subtract 1.5 x from both sides of the equation
4.5y=-1.5x+18 Divide both sides of the equation by 4.5
4.5y/4.5=-1.5x/4.5+18/4.5
y=-1/3x+4
The slope is -1/3
The y intercept is (0,4)
To find the x intercept, yet y=0 and solve.
1.5x+4.5y=18
1.5x+4.5(0)=18
1.5x=18 Divide both sides of the equation by 1.5
1.5x/1.5=18/1.5
x=12
What is the value of x?
In the drawing, lines g and h are parallel.
k
A
32
1200
g
B) 40
h
(2x - 470
42
D
58
Answer:
D
Step-by-step explanation:
What was Richard’s account balance at the end of the week?
Answer:
The answer is 132.45
Step-by-step explanation:
I took the quiz:) hope this helps!
Answer:
132.45
Step-by-step explanation:
i got it right :)
What is the value of n?
1131
nº
160°
A. 290
B. 490
C. 20°
D. 690
Answer:
c as 131 -180=49° is the answer
Which angle has a measure equal to the sum of m∠SQR and m∠QRS?
∠RSC
∠SRE
∠DQS
∠QSR
Answer:
QSR
Step-by-step explanation:
Same letters so its the answer
need somebody that’s at mathematics. put your social media name below!
Answer:
Which social media do you have