Answer:
1/8x³- 1/27y³
Step-by-step explanation:
1/216×(27x³-8y³)
1/216×(3x-2y)×(9x²+6xy+4y²)
1/216×(3x-2y)×(9x²+6xy +4y²)
What are the coordinates of the vertex for the function shown below ?
Answer:
Step-by-step explanation:
We can answer this in two ways: Differentiation and Graphing.
Differentitate:
The first derivative of a function yields a function that provides the slope for any point on the line of the original function. The slope of a vertex is zero, so we can set the first derivative to 0 and solve for x.
f(x) = 3(x-1)^2 + 4
f(x) = 3(x-1)(x-1) + 4
f(x) = 3(x^2 - 2x + 1) + 4
f(x) = 3x^2 - 6x + 7
f'(x) = 6x -6
Set this = 0 and find x:
0 = 6x -6
x = 1
The value of y when x=1 in the original equation is:
f(1) = 3(1-1)^2 + 4
y = 4
The vertex is (1,4)
Graph:
You can use DESMOS to plot the function. The result is attached. Look for the vertex and read the coordinates. (1,4) seems to work.
What is the perimeter of PQR? Show your work.
Answer:
They are similar triangles so the sides are equal
3y-2=y+4
2y=6
y=3
so we can insert y=3 to calculate the side length
3y-2=3*3-2=7=PR side
calculate the perimeter:
4+6+7=17ft
Step-by-step explanation:
Add the lengths.of all sides together
4+6+(3y-2)
= 4+6+3y-2
=8+3y ft
Ricky Bobby was designing everything in the garden. He wanted the longest side to be 3 feet less than four times the shorter side. He used 50 feet of board to make the garden.
What are the dimensions of the garden that Ricky Bobby made?
How much area was there inside the garden?
If pumpkin plants need 5 ft.² of space to drive how many pumpkin plants can Ricky Bobby plant?
Helpp I don’t get this
Answer:
5.6 by 19.4
108.64 ft²
21 pumpkins
Step-by-step explanation:
Set length of shorter side as x. Then, the longer side is 4x - 3
He used 50 feet of board, which means, using the formula for perimeter:
x + 4x - 3 + x + 4x - 3 = 50
Simplify and solve.
10x - 6 = 50
10x = 56
x = 5.6
Plugging this back into our first two equations, we find that shorter side = 5.6 and longer side = 19.4
This means the dimensions of the garden are: 5.6 by 19.4
Area = length times width, so the area is 108.64 ft²
The plants need 5ft², so he can fix a maximum of 108.64 ÷ 5 = 21.728
Because you cannot have 0.728 pumpkins, he can only fit 21 pumpkin plants.
WILL GIVE 25 PONITS! ANSWER CORRECTLY! (in attachments)
Answer:
you got to do it
Step-by-step explanation:
consider the equation
Answer: 6
Step-by-step explanation:
1. 2(4 + px) = 12x (write it down)
2. 8 + 2px = 12x (distributive property)
3. 8/2 + 2px/2 = 12x/2 (divide all by 2
4. 4 + px = 6x
5. 4 = 6x - px
Plug all in:
4 = 6x - 2x (possinle)
4 = 6x - 6x (not possible)
4 = 6x - 12x (possible)
4 = 6x - 24x (possible)
Answer: 6
because:
4 = 6x - 6x
4 = 0
What is the solution to this equation?
Answer:
C
Step-by-step explanation:
324 = 4 [tex](3)^{2x}[/tex] ( divide both sides by 4 )
81 = [tex]3^{2x}[/tex] , that is
[tex]3^{4}[/tex] = [tex]3^{2x}[/tex]
Since bases on both sides are equal, both 3, then equate exponents
4 = 2x ( divide both sides by 2 )
2 = x → C
Explain relative dating and its relationship to the Law of Superposition
Answer:
its b i took the test
Step-by-step explanation:
its b
Solve each equation and check your solution. Simplify fractions and write in the form a/b.
{NOTE: You don't have to do every single one of them, It'd help if you could atleast do 1 of these equations }
a. 3x - 6 = 4(2 - 3x) - 8x
⇛ 3x - 6 = 8 - 12x - 8x
⇛ 3x + 12x + 8x = 8 + 6
⇛ 23x = 14
⇛ x = 14/23
b. 1/2z + 6 = 3/2(z + 6)
⇛1/2z + 6 = 3/2z + 9
⇛ 1/2z - 3/2z = 9 - 6
⇛ -z = 3
⇛z = -3
c. 9 - 7w = 8w + 8
⇛ - 7w - 8w = 8 - 9
⇛ -15w = -1
⇛ w = 1/15
Solve the System of Equations
3x^2-5y^2= 22
2x^2+4y^2 = 22
Lets try one way to solve this system. First, we want to isolate one of the unkown, lets choose y, so we need to remove x from an equation. In order to remove x from an equation, thats what we are going to do :
Line 1:
(3x² - 5y²) * 2 = 22 * 2
6x² - 10y² = 44
We simply multiplied Line 1 by the number 2, this doesn't change anything on the nature of Line 1.
Line 2:
(2x² + 4y²)*3 = 22*3
6x² + 12y² = 66
We simply multiplied Line 2 by the number 3, this doesn't change anything on the nature of Line 2.
Solving your system of equations is exactly the same thing as solving this new system of equation :
6x² - 10y² = 44
6x² + 12y² = 66
It is exactly the same. But it is easier now, because we can remove x from the equation simply by subtracting line 2 from line 1 :
L1 - L2 :
(6x² - 10y²) - (6x² + 12y²) = 44 - 66
6x² - 10y² - 6x² - 12y² = - 22
- 22y² = - 22
y² = 1
y = + 1 or y = - 1
We know have the value of y, we just have to replace it in the equation to solve the entire system :)
3x² - 5y² = 22
since y² will always be equal to one, wether y = 1 or y = - 1, we can write :
3x² - 5 = 22
3x² = 22 + 5
3x² = 27
x² = 27/3
x² = 9
x = + 3 or x = - 3
So the solutions are the following couples in the form (x,y) :
S = { (3 ; 1) , (-3;1) , (3 ; - 1) , (-3 ; -1))
Good Luck
find the slope and write the equation of the line that passes through the given points (5,6) and (3, 4)
Answer:
y=X +1
……. M=1
Write in index form
5 x 5 x 5
onique bought 2 hot dogs and 1 large soda. She spent $7. Scott
bought 4 hot dogs and 1 large soda. He spent a total of $12.
What is the cost of one hot dog and one large soda?
angel 1 and angel 2 form a right angle. Writ a conjecture about each value or geometric relationship
Answer:
it's angle not angel.
Step-by-step explanation:
A rectangle has the area of 60in2 . What can be its dimensions? Copy and fill in the chart.
Answer:
The dimensions can be 6 inches by 10 inches
convert into precent...
convert 0.(6) as a precent the parenthesis mean something
Answer:
60%
Step-by-step explanation:
0.(6) is just not proper mathematical format.
I will assume you meant 0.6.
Then the equivalent percentage would be 0.6(100%), or 60%
I don’t know what the answer Is
Answer:
Exact Form: x = 10/7
______
Decimal Form: x = 1.428571
Mixed Number Form: x = 1 3/7
Hope this helps, have a nice day/night! :D
If this helped please mark this as brainliest!
Answer:
In the picture
Step-by-step explanation:
Good luck!
What value does the 4 represent in number 487.009
Answer:
400
cause 4 is in the hundreds column
PLEASE EXPLAIN THE WORK WHEN YOU ANSWER FOR ME PLEASE
solve each equation:
1: |b-6|=1
2:|b+2|=7
Answer:
Step-by-step explanation:
theres 2 possible solutions for each equation and each one is right
or for dummies, just reverse the +/- inside the l x +/- y l. and make 2 different equations the first with a + and the second with a -
1. lb-6l = 1
b - 6 = 1
b = 7
-----------
b + 6 = 1
b = -5
--------------
2. lb+2l=7
b + 2 = 7
b = 5
--------------
b - 2 = 7
b = 9
---------------
Bridget was thinking of a number. Bridget adds 11 then divides by 9 to get an answer of 67.
Form an equation with x from the information.
Answer:
(x + 11) ÷ 9 = 67
or
[tex]\frac{(x + 11)}{9}[/tex] = 67
Step-by-step explanation:
Let x be the number
Solve for the variable in the following proportion.
1/4 is to 1 1/4 as 2 is to b
B =
Can someone give an explanation?
Answer: b = 10
Step-by-step explanation:
We want a ratio of b/2 that is equal to the ratio of 1/4 to 1 1/4 (or 5/4).
Ratio of (1/4)/(5/4):
(1/4)/(5/4) = (1/4)*(4/5) = 4/20 = 1/5 or 0.2
We want 2/b = 1/5 or 0.20
2/b = 0.20
b = 2/0.20
b = 10
--
Check: Does 10/2 = (1/4)/(5/4)?
Yes
b is 10
2.3/2.4 representing slope in proportional relationships
Answer:
Ok
Step-by-step explanation:
Ok
In order to conduct an experiment, 4 subjects are randomly selected from a group of 41 students. The number of possible different groups is ______________________.
Answer:
10.25
Step-by-step explanation:
You'd need get Forty one divided by 4 and your answer should be 10.25 , 41 ÷ 4 = 10.25
Noir drove from the Dead Sea up to Amman, and her altitude increased at a constant rate. When she began driving her altitude was 400 meters below sea level. When she arrived in Amman 2 hours later, her altitude was 1000 meters above sea level. Let y represent noir’s altitude in meters relative to sea level after x hours.
Answer:
y(x) = -400 m + (700 m/hr)x
Step-by-step explanation:
Let y = 0 represent sea level. Noir's initial altitude was -400 m. In two hours she went from -400 m to +1000 m, a positive change of 1400 m. Thus, the rate of ascent was m = slope = (change in altitude) / (change in time), or
rate of ascent = 1400/2 m/hr = 700 m/hr
Thus, an equation describing her altitude relative to sea level after x hours is
y(x) = -400 m + (700 m/hr)x, where x is the number of hours of driving completed. This formula correctly predicts the altitude after two hours:
y(2) = -400 m + (700 m/hr)(2 hr) = 1000 m above sea level.
I need help with this one question, please show work on paper or text, thank you
answer :243
this should be helpful
Which expression is equivalent to (9+52) - 3(6x)?
A.) -23x+9
B.) -13x+9
C.) 11x+6
D.) 14x+12
Can someone help me pleaseeeeeee :( no links pleaseee
a) Keith's car will have less gas.
Locate the point in which miles driven = 90 (Between 60 and 120)
Since Keith's line is lower than Carmen, he has less gas.
We can also find the difference: 11 - 10 = 1.
It will have 1 less gallon.
b) Look at the point in which both lines meet. This means that they have the same amount of gallons remaining (8) at 180 miles driven.
Before 180 miles, Keith's car will always have less car remaining.
BRAINLIEST
Please help me do these
Answer:
1.
a. YU, ZV, WS
b. VU, WX, ST
c. ZW
d. WXY
e. TSW
f. VU, TU, ZY, XY
g. VS, WS, ZV, XW, YZ, ZW
2.
a. intersecting
b. parallel
c. skew
d. intersecting
e. parallel
Answer:
Step-by-step explanation:
cual es el.producto 1/2 y 5/6
Answer:
5/12
Step-by-step explanation:
1/2 × 5/6 = 5/12
Step-by-step explanation:
can you write it in english
how do i find the x and y intercepts of y=2x^2+x-3
Consider the equation:
X^2=6x+1
1) Rewrite the equation by completing the square.
Your equation should look like (2 - 0) = bor (2-c)? = d
2) What are the solutions to the equation?
Choose 1 answer
Answer:
(2-c)=d
Step-by-step explanation:
completing the square
hope it can help you lovelots