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.
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)What is the area of this triangle? 0 480 m2 525 m2 675 m2 900 m2
Answer:
480 m²
Step-by-step explanation:
A = bh/2
A = 64 m × 15 m / 2
A = 480 m²
A.480m2<3
Step-by-step explanation:<3
if the answer is wrong I can fix my mistake and you will get the right answer
have a great day hope you get good grades and
get a 100 on this quiz and if you do then g-
ood job <3
I’ll give you brainliest if you guys answer This question
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
Multiples that are shared by
two or more numbers are_____.
Answer:
common multiples
Step-by-step explanation:
hope that helps you
Part A: Determine the perimeter of the triangle to the nearest hundredth.
Here is the solution steps and the answer.
A parking lot is rectangular in shape. On a scale drawing, the length of the parking lot is foot long and the width is į foot long.
The length of the actual parking lot is 150 feet.
What is the width of the actual parking lot?
Enter your answer in the box.
ft
Answer:
100ft
Step-by-step explanation: I took the quiz
What is the value of Fraction 1 over 2x3 + 3.4y when x = 2 and y = 5? 80 points
Answer:
1/29 (≈ 0.0345 if you want it in decimals)
Step-by-step explanation:
[tex]\frac{1}{2x3+3.4y}[/tex] then plug in the numbers given
[tex]\frac{1}{2(2)3+3.4(5)}[/tex]then simplify
2(2)3=4*3=12
3.4(5)=17
1 over 12+17
1 over 29
so the answer is [tex]\frac{1}{29}[/tex] which is 0.0344827586207 in decimals depending on whar format you want
Hope this helps!
Solution:
Note that:
Given fraction: [tex]\frac{1}{2x(3) + 3.4y}[/tex]x = 2y = 5Substitute the values into the fraction to find the solution.
[tex]\frac{1}{2x(3) + 3.4y}[/tex]=> [tex]\frac{1}{4(3) + 17}[/tex]=> [tex]\frac{1}{12 + 17}[/tex]=> [tex]\frac{1}{29}[/tex]The solution when x is two and y is five is 1/29.
Evalaute the following
x=2 y=2
4xy^2-6
Answer:
→ 26
Step-by-step explanation:
Given that: x = 2, y = 2→ 4xy²-6
→ 4(2)(2)²-6
→ 8*4-6
→ 32-6
→ 26
Solution:
4xy² - 6x = 2y = 2Let's substitute the values to obtain our answer.
Solving the term "4xy² - 6"
4xy² - 6=> 4(x)(y²) - 6=> 4(2)(2²) - 6=> 4(2)(4) - 6=> 32 - 6=> 26Hoped this helped!
A downtown parking lot charges $5 per hour for the fort 2 hours, then $2.50 per hour after that. Which equations describes the total cost y as a function of the hours x?
We will get the piecewise function:
y = f(x) = $5*x for 0 ≤ x ≤ 2y = f(x) = $10 + $2.50*(x - 2) for 2 < xHow to write the piecewise function?
We know that the parking lot charges $5 per hour for the first two hours, and then $2.50 per hour after that.
So the function behaves differently in different intervals of its domain, this will be a piecewise function. To write it, we just need to clarify how the function behaves in each part of the domain.
Here the function will be:
y = f(x) = $5*x for 0 ≤ x ≤ 2y = f(x) = $10 + $2.50*(x - 2) for 2 < xSo for the first two hours (x is the number of hours), the cost is $5, then for any hour after that, the cost will be the $10 for the first two hours plus $2.50 for each hour after that.
That is the piecewise function that describes the total cost y as a function of the number of hours, x.
If you want to learn more about piecewise functions, you can read:
https://brainly.com/question/3628123
A 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?
please answer asap! will give brainliest!! How many solutions does the system of equations x − y = − 2 and y = (2x + 3)2 − 2 have?
Infinitely many
0
1
2
The number of solutions the system of equation x - y = -2; y = (2x + 3) is one solution.
The correct answer option is option c
How to find number of solutions in a system of equationx - y = -2
y = (2x + 3)
Substitute equation (2) into (1)x - y = -2
x - (2x + 3) = -2
x - 2x - 3 = -2
-x = -2 + 3
-x = 1
x = -1
Substitute the value of x into equation (1)x - y = -2
-1 - y = -2
Add 1 to both sides-y = -2 + 1
-y = -1
divide both sides by the coefficient of -y which is -1y = -1/-1
y = 1
In conclusion, the equation x - y = -2; y = (2x + 3) has only one solution.
Read more about system of equation:
https://brainly.com/question/13729904
#SPJ1
Answer:
It's two solutions
Step-by-step explanation:
100% sure look at the graph, the functions intersect exactly two times.
This one's a bit hard, could use a bit of help.
Please & Thank you!
Answer:
a) 5 / 9
b) (-9) / 2; 9 / (-2)
Negative signs cancel each other out, thus (-5)/(-9) = 5/9
a negative on the entire quantity of a fraction is the same as a negative numerator divided by a positive denominator and vice versa, etc.
hope this helps
please help i need two people to answer so i can award brainliest
Answer:
64 cookies are left to bake
Step-by-step explanation:
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 pricedSrudy the picture. The angles of the triangle have been rearranged. How does this prove that the angles of the triangle add up to 180°?
Answer:
all 3 angles make 1 straight line
a straight line is a 180 degrees
Step-by-step explanation:
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
If - 20 is added to a number, the sum will be 8 times the number. Find the number.
...
I’m not understanding this equation
Let the number = x
add -20’tonx to have x + -20 which becomes x-20
That equals 8 times the number x
The equation becomes
X-20 = 8x
Subtract x from both sides :
-20 = 7x
Divide both sides by 7:
X = -20/7
The number is -20/7
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
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)...................
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
Solve the equation for x
-4x– 1 = 5^x+ 4
=
the answer.. .... is
= - 1.28
find the measure of the exterior angle ( SHOW YOUR WORK ) !!!!
Knowing that an exterior angle of a triangle is equal to the two interior angles that are away from the angle it is touching,
we get our equation:
6x+8=30+4x+2
Simplifying,
2x=24
x=12
So, we get the variable x is 12.
It's not over yet, since we were asked to calculate
6x+8
Substituting, we get
6(12)+8=
72+8=
HRQ is 80 Degrees-Hunter
Answer:
Step-by-step explanation:
6x+8=30+4x+2
Simplifying,
2x=24
x=12
we get the variable x is 12.
It's not over yet, since we were asked to calculate
6x+8
Substituting, we get
6(12)+8=
72+8=
An office store pays a whole price of $120 for a laser printer and sells it for $174. What is the pecent mark up
Answer:
its by 54%
Step-by-step explanation:
because it is raising the price by making money by 54%. and that its using the calculator in any way.
PLEASE HELP ME QUICKKK, FIRST CORRECT PERSON GETS BRAINLIEST
The percent decrease: 25%
The percent decrease: 33.33..%
So, B is the correct statement
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
which is the wrong one? BIGGER OR SMALLER
help
Answer:
It's D. 1.2(line) < 3.1(pi) < 4.6(square root 22)
Step-by-step explanation:
Look in the comments to figure out why D is correct. You're welcome! :)
Evaluate the expression: 3^3+3(4+1/3)
Answer:
30
Step-by-step explanation:
= 3^3 + 12 + 1
= 27 + 12 + 1
= 30
Some one please help me