Answer:
36
Step-by-step explanation:
Noticing that 216 = 6^3 and using (x^a)^b = x^ab
216^2/3 = (6^3)^2/3 = 6^3 times 2/3 = 6^2 = 36
The graph of f of x equals x squared is shown. A transformation is applied to f of x resulting in the function g of x equals x squared plus 2. Which graph shows g of x?Answer options with 4 options.F of x is a parabola with a vertex at (0, 0) that opens up. G of x is a parabola with a vertex at (2, 0) that opens up.C.F of x is a parabola with a vertex at (0, 0) that opens up. G of x is a parabola with a vertex at (0, negative 2) that opens up.B.F of x is a parabola with a vertex at (0, 0) that opens up. G of x is a parabola with a vertex at (0, 2) that opens up.D.F of x is a parabola with a vertex at (0, 0) that opens up. G of x is a parabola with a vertex at (negative 2, 0) that opens up.
Answer:
f(x) is a parabola with a vertex at (0, 0) that opens up
g(x) is a parabola with a vertex at (0, 2) that opens up
Step-by-step explanation:
Quadratic equation: [tex]y = ax^2 + bx + c[/tex]
The graph of a quadratic equation is a parabola. The value of [tex]a[/tex]determines its orientation.
If [tex]a>0[/tex] then the parabola opens upwards and its vertex is its minimum point.
If [tex]a<0[/tex] then the parabola opens downwards and its vertex is its maximum point.
Given:
f(x) = x²g(x) = x² + 2⇒ g(x) = f(x) + 2
So the transformation of f(x) to g(x) is an upward shift of 2 units, or
a translation of f(x) by the vector [tex]\left(\begin{array}{ccc}0\\2\end{array}\right)[/tex].
Therefore, the y-coordinate of the vertex of g(x) will be 2 units more than the y-coordinate of the vertex of f(x).
Therefore,
f(x) is a parabola that opens upwards with a vertex at (0, 0)g(x) s a parabola that opens upwards with a vertex at (0, 2)Jo bought 5 lb potatoes for 2.89 a loaf of bread for 1.79 and a can of soup for 1.63 she gave the clerk 10 dollars how much should she get back
it should be easy but i just forgot how to get thhe awnser
Answer:
$3.69 in change
Step-by-step explanation:
10-2.89-1.79-1.63=3.69
Answer : 3.69 Dollars
Explanation : 2.89 + 1.79 + 1.63 = 6.31 10-6.31 = 3.69
YusuCr
An 8 ft length of 4 inch wide crown molding costs $14. how much will it cost to buy 40 ft of crown molding?
Answer:
$98
Step-by-step explanation:
Hope this helps
Answer:
17.50
Step-by-step explanation:
8 times 4 = 32
32=$14
32/14= 40/x
x= 17.50
Mathematics.................
Answer:
this Is 3 and the second one is also 3
1/2 of 6 is 5.5
6 x 1/2 = 9
This might not be accurate. I understand the question, but at the same time I don't. Sorry.
The quotient of two numbers is 3 their difference is 8 what are the two numbers
Answer:
x = 12, y = 4
Step-by-step explanation:
x / y = 3
x - y = 8
Or
12 / 4 = 3
12 - 3 = 8
Evaluate. Express your answer to the nearest tenth, if necessary.
a) 5.3 ÷ (−8.4)
b) −0.25 ÷ (−0.031)
c) −5.3 + 2.4[7.8 + (−8.3)]
d) 4.2 − 5.6 ÷ (−2.8) − 0.9
~giving brainliest!~
Solve for m. 34m>−12 m>−16 m<−16 m>−9 m<−9
Answer:
-17m/-6 , 4m/3
Step-by-step explanation:
Im not sure what the question is regarding but if its what im doing in school now that is the answer
A number p has exactly 12 factors. Two of the factors are 4 and 15. Find the value of p
Answer:
p=60
Step-by-step explanation:
it is divisible by
1
60
20
3
4
15
2
30
12
5
6
10
I WILL GIVE BRANLIEST AND FIVE STAR AND HEART ANDD LOTS OF POINTS
(if answered correctly)
Answer:
54 units²
Step-by-step explanation:
The area of the entire square is 81 units^2 (9*(5+4))
The bottom-left triangle has an area of 6 units^2 ((4*3)/2)
The bottom-right triangle has an area of 10 units^2 ((5*4)/2)
81-(6+10)=65
The value of a is the value of 3x2 - 4x - 3 when x = -2. Find the value of 3a - 3.
Step-by-step explanation:
put the value of x in equation and you get the answer
then put value of a on 3a-3
850 tickets were sold for a game for a total of $1,487.50. If adult tickets sold for $2.00 and children's tickets sold
for $1.50, how many of each kind of ticket were sold?
They sold_____
adult tickets and_____
children's tickets.
Which algebraic rule describes a transformation? A (x, y)➡️(-x, y). B (x,y) ➡️ x, -y). C (x, y) ➡️ (-x, -y). D (x, y) ➡️ (-y, -x)
Answer:
(x,y,) (-x,-y)...................
please help i need two people to answer so i can award brainliest
Answer:
64 cookies are left to bake
Step-by-step explanation:
Solve the equation for x
-4x– 1 = 5^x+ 4
=
the answer.. .... is
= - 1.28
Some one please help me
Your sister is getting married this summer and she has asked you to help her select a D.J. for the big event. You called around and found that Dave the D.J. charges a $150.00 set-up fee, plus $10.50 per hour. You discover Marvin’s Mobile Music Machine has a $135.00 set-up fee, plus $15.00 per hour.
Which D.J. will you recommend to your sister? Be sure to clearly support your recommendation mathematically.
Answer:
I will choose Marvin's mobile money music machine
Step-by-step explanation:
because it is less pricedA family goes to a theme park. The two grandparents pay 1/3
of the full entrance price. The two parents pay full price and the three children pay half price. A full price tickst costs £5.70. How much was the total cost of admission for the family?
Angle between 0 and 360 coterminal to 444 degrees
Answer:
444 is coterminal to 84
Step-by-step explanation:
Just subtract 360 from 444 and you have your answer
444 - 360 = 84
The circumference of a circle is 10.4mm.
Find the length of the diameter.
Give your answer rounded to 3 SF.
Answer:
diameter: 3.31 mm
Explanation:
circumference of circle → πd
using the formula:
10.4 = πd
d = 10.4/π
d = 3.31 mm
Answer:
diameter = 3.31 mm (3 sf)
Step-by-step explanation:
Diameter of a circle (d) = 2r (where r is the radius)Circumference of a circle = 2[tex]\pi[/tex]r (where r is the radius)Given:
circumference = 10.4 mm⇒ [tex]\pi[/tex]d = 10.4
⇒ d = 10.4 ÷ [tex]\pi[/tex] = 3.31 mm (3 sf)
hey can someone help me with this Pleas and thank you, :)
Step-by-step explanation:
cube b side = 2*4=8 cm
cube a volume = 64 cm^3
cube b volume = 512 cm^3
What is the value of a?
A. 42.6
B. 31.6
C. 26.6
Answer:31.6
Step-by-step explanation: i did the test
Katie swims laps in a pool shaped like a rectangular prism.
The pool has a width of x feet. The length of the pool is 2 feet more than the width. The depth of the pool is 4 feet less than twice the width.
Given the pool's volume in cubic feet is 24 times its width in linear feet, what is the depth of the pool?
Enter your answer in the box.
Answer:
C.
Step-by-step explanation:
Length (l)= 5 ft.
Width (w)= 4 ft.
Height (h)= 2 ft.
I need help please can you explain it please
*PLEAS E HELP* *IRRELEVANT ANSWERS WILL BE REPORTED*
A scuba diver is 30 feet below the surface of the water 10 seconds after he entered the water and 120 feet below the surface after 40 seconds. What is the scuba diver's rate of change (include the units)?
Find slope(Rate of Change)
Answer:
3 feet per secondStep-by-step explanation:
The rate of change is:
m = the change in depth / the change in time = (120 - 30) / (40 - 10) = 90 / 30 = 3 feet/secondTake 2 points
(10,30)(40,120)Rate of change=Slope:-
[tex]\\ \rm\hookrightarrow m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\\ \rm\hookrightarrow m=\dfrac{120-30}{40-10}[/tex]
[tex]\\ \rm\hookrightarrow m=\dfrac{90}{30}[/tex]
[tex]\\ \rm\hookrightarrow m=3ft/s[/tex]
Which of the equations below could be the equation of this parabola?
A. y = 4x2
B. x = 4y2
C. X=-4x2
D. Y=-4x2
Answer:
D
Step-by-step explanation:
The graph opens downward so we would expect the integer to be negative. Also because the parabola opens downward you cannot have the equation be X=, this leaves Y=-4xsquared as the only viable option
please help with this
Answer:
[tex]7\sqrt{3} +12\sqrt{2}[/tex]
Step-by-step explanation:
[tex]\sqrt{12} -\sqrt{18} +3\sqrt{50} +\sqrt{75}[/tex]
[tex]\implies \sqrt{4\times3} -\sqrt{9\times2} +3\sqrt{25\times2} +\sqrt{25\times3}[/tex]
[tex]\implies \sqrt{4}\sqrt{3} -\sqrt{9}\sqrt{2} +3\sqrt{25}\sqrt{2} +\sqrt{25}\sqrt{3}[/tex]
[tex]\implies 2\sqrt{3} -3\sqrt{2} +3(5)\sqrt{2} +5\sqrt{3}[/tex]
[tex]\implies 2\sqrt{3} -3\sqrt{2} +15\sqrt{2} +5\sqrt{3}[/tex]
[tex]\implies 2\sqrt{3} +5\sqrt{3} +15\sqrt{2} -3\sqrt{2}[/tex]
[tex]\implies 7\sqrt{3} +12\sqrt{2}[/tex]
Carolyn swim 35 laps in 1/2 hour. How far will she swim in 4 hours? Please help.
The function that assigns every positive three- digit integer the difference between the largest and the smallest digits. State the number of elements in the Domain and Range for this part.
77777
77777
77777
77777
77777
HELP ME IM GOING TI FAIL IF YALL DINT HELP ME PLSSS!!!
Answer:
523.33375 cubic feet
Abigail and her mom want to make matching pairs of polka-dotted pajama pants. So, they go to the craft store to pick out fabric. Abigail needs 4 feet of fabric for her pajamas, and her mom needs 6 feet of fabric. But, the store only sells fabric by the yard. If they buy 4 yards of fabric, how many feet will be leftover?