Answers
In the question you need to subtract x from both sides then divide -8 from -x and 24
Related Questions
**PLEASE HELP**
Find the equation, f(x)=a(x-h)^2+k, for a parabola that passes through the point (0,0) and has a (-3,-6) as its vertex. What is the standard form of the equation?
A.) The vertex form of the equation is f(x)= - 2/3(x+3)^2-6. The standard form of the equation is f(x)=2/3x^2+4x.
B.) The vertex form of the equation is f(x)=2/3(x+3)^2-6. The standard form of the equation is f(x)+-2/3x^2-4x.
C.) The vertex form of the equation is f(x)= - 2/3(x-3)^2-6. The standard form of the equation is f(x)=2/3x^2-4x.
D.) The vertex of the equation is f(x)=2/3(x+3)^2-6. The standard form of the equation is f(x)=2/3x^2+4x.
Answers
Answer:
D) The vertex of the equation is [tex]f(x) = \frac{2}{3}\cdot (x+3)^{2}-6[/tex]. The standard form of the equation is [tex]f(x) = \frac{2}{3}\cdot x^{2}+4\cdot x[/tex].
Step-by-step explanation:
Let [tex]A(x,y) = (0,0)[/tex] and [tex]V(x,y) = (-3, -6)[/tex] (vertex).
If we know that [tex]x = 0[/tex], [tex]y = 0[/tex], [tex]h = -3[/tex] and [tex]k = -6[/tex], then the standard equation results in:
[tex]a\cdot (0+3)^{2}-6 = 0[/tex]
And the value of [tex]a[/tex] is:
[tex]9\cdot a - 6 = 0[/tex]
[tex]a = \frac{2}{3}[/tex]
And the vertex form of the equation is [tex]f(x) = \frac{2}{3}\cdot (x+3)^{2}-6[/tex].
Lastly, the standard form of the equation is found by algebraic means:
[tex]f(x) = \frac{2}{3}\cdot (x^{2}+6\cdot x +9)-6[/tex]
[tex]f(x) = \frac{2}{3}\cdot x^{2}+4\cdot x[/tex]
The standard form of the equation is [tex]f(x) = \frac{2}{3}\cdot x^{2}+4\cdot x[/tex].
In consequence, the right answer is D.
A family wants to build a rectangular garden on one side of a barn. If 600 feet of fencing is available to use, then what is the area of the largest garden that could be built?
(A) Define a function that relates the area enclosed by the fence (in 〖ft.〗^2) in terms of its length (in ft.)
(B) What is the practical domain of this function?
(C) What is the largest area that the fence could enclose?
Answers
Answer: (A) [tex]A=300l-l^{2}[/tex]
(B) Length varies between 1 and 150
(C) Largest area is 22500ft²
Step-by-step explanation: Suppose length is l and width is w.
The rectangular garden has perimeter of 600ft, which is mathematically represented as
[tex]2l+2w=600[/tex]
Area of a rectangle is calculated as
[tex]A=lw[/tex]
Now, we have a system of equations:
[tex]2l+2w=600[/tex]
[tex]A=lw[/tex]
Isolate w, so we have l:
[tex]2w=600-2l[/tex]
w = 300 - l
Substitute in the area equation:
A = l(300 - l)
A = 300l - l²
(A) Function of area in terms of length is given by A = 300l - l²
(B) The practical domain for this function is values between 1 and 150.
(C) For the largest area, we need to determine the largest garden possible. For that, we take first derivative of the function:
A' = 300 - 2l
Find the values of l when A'=0:
300 - 2l = 0
2l = 300
l = 150
Replace l in the equation:
w = 300 - 150
w = 150
Now, calculate the largest area:
A = 150*150
A = 22500
The largest area the fence can enclose is 22500ft².
Simplify the following expression using the distributive property.
3(x + 8)
3x + 8
11x
24x
3x + 24
Answers
Answer:
3(x+8)
3*x+3*8
3x+ 24
3 divided by 3
24 divided by 3
x=8
Answer:
3(x+8)
3x+24
X=8
Step-by-step explanation:
7. Which transformation is not an isometry?
Answers
Answer:
The star
Step-by-step explanation:
It's the. star because the others are the same shape just put at a different angel. But the star is a completly different shape. hope this helped :)
help..?
i love this app lol ,ty if you answer but please fast
Answers
Answer:
the answer should be 8
Step-by-step explanation:
8-5=3
3/3=1
State 2 possible solution points for the inequality. Use the form (x,y) for both points. *
4 points
Captionless Image
Answers
solve for s and show steps please :) 2s+3+s=3s-2
Answers
Answer:
There is no solution for this equation
Step-by-step explanation:
2s+3+s=3s-2
We move all terms to the left:
2s+3+s-(3s-2)=0
We add all the numbers together, and all the variables
3s-(3s-2)+3=0
We get rid of parentheses
3s-3s+2+3=0
We add all the numbers together, and all the variables
5!=0
There is no solution for this equation
what is the length of a chord at a distance for 4 cm away from the centre of a circle of radius 5 cm
Answers
See attachment for math work.
We must reject x = -3 because distance is positive.
The value of x is 3.
Chord = 2x
Chord = 2(3)
Chord = 6 cm
A cell phone plan costs $200 to start. Then there is a $50 charge each
month. 1. What is the total cost (start-up fee and monthly charge) to use
the cell phone for 1 month? 2. What is the total cost for x months? 3. Graph
the cost of the cell phone plan over a period of two years, using months as
the unit of time. Be sure to label your axes and scale them by labeling each
gridline with a number. 4. Is there a proportional relationship between
time and the cost of the cell phone plan? Explain how you know
Answers
Answer:
1.) $250
2.) x= 50c + 200
Step-by-step explanation:
What is the missing length of a right triangle that has a length of 7 and width of 3
Answers
Answer:
Can u name the sides properly and which side needed. Write it. More specific plz
how 2 explain this?
Thanksss.
Answers
Explanation: I would substitute 2 into x which would be y = 2(2) + 3. I would then multiply 2 and 2 which would give me 4 and then add 3 which I get 7. This means that (2,5) is not a solution to the equation.
Find AB.
А A
5x В 4х + 3 с
Answers
Answer:
Multiply 5 and 3 to get 15
15B4c
A pecan pie recipe calls for 3 1/2 cups of sugar for 16 servings. How manny cups of sugar are needed for 32 servings
Answers
Answer:
7
Step-by-step explanation:
32 servings mean two 16 servings. 3.5 times 2 is 7.
Answer:
32/16=2 so you have to multiply the entire recipe by 2.
so 3 1/2 x 2 = 7 cups of sugar
h(t)=480t-16t^2
solve for t
PLEASE SHOW WORK
Answers
Answer:
x = √30 or -√30
Step-by-step explanation:
480 - 16x^2 = 0
divide both sides by 16
30 - x^2 = 0
-x^2 + 30 = 0
-x^2 = -30
X^2 = 30
x = ± √30
x = √30 or -√30
Priving all night. Kathryn drove her rig 5 hours before
dawn and 6 hours after dawn. If her average speed was
5 miles per hour more in the dark and she covered
630 miles altogether, then what was her speed after dawn?
Answers
Answer:
yes
Step-by-step explanation:
Answer: x=16
Step-by-step explanation:
shown in screenshot below
Solve for 10+5X<=20 please help me
Answers
Answer:
The answer is x=2. I hope that this helps.
Step-by-step explanation:
Answer:
If you're solving for x it should be x <= 2
Step-by-step explanation:
10 + 5x <= 20 -- isolate variable (subtract 10 from both sides)
-10 -10
5x <= 10 -- single out the x (divide both sides by 5)
/5 /5
x <= 2
Hope this helps :)
17 increased by twice Greg's height
Answers
Answer:25
Step-by-step explanation:
Please show your work.
(x^2 + 9x - 3) + (5x^2 - 7x - 4) + (2x^3 + x + 1)=
Answers
The distance from Alison's house to the mailbox is 25 mile. The distance from the mailbox to
the bus stop is 13 mile. What is the total distance from Alison's house to the bus stop?
Answers
Answer:
2/5+1/3
6/15+5/15=11/15
It’s 11/15 miles
Step-by-step explanation:
Answer:
25+13=38
Step-by-step explanation:
because it's 25 miles to the mailbox and 13 miles from the mail box to the bust stop do you just add
What is the BEST ANSWER for the slope of the line that passes through the points:
(12, 2) and (1, 23)
Answers
Answer: -2
Step-by-step explanation:
The equations y = 2x - 5 and y = -x + 1 are shown on the coordinate plane. Which ordered pair correctly identifies the values of x and y that satisfy both linear equations?
help asap
1. 1,1
2. 2,-1
3. -5,.25
4. -1,2
Answers
Answer:
(1, -2)
Step-by-step explanation:
There are two ways:
1. You can find the answe by looking at where the lines intercept
2. Plug in each answer into the locations they're supposed to be in, for example, (1, 2) x=1 and y=2, and if the end result it 0=0 its correct.
Hope that helped!
x2 + 9x + 1420
Use the inequality in the form f(x)20, to write the intervals determined by the boundary points as they appear from left to right on a number line.
Answers
The amount of seed needed for a landscaper to cover a lawn is shown in the table. Decide if the relationship between the amount
of seed and the area it covers is proportional.
Answers
Answer:
yes it is
Step-by-step explanation:
Kara was baking a cake. The recipe called for 8.5 cups of flour and she put in 3.2 cups so far. How many more cups of flour does she need?
**Write an equation AND solve:**
Answers
Answer:
5.3 cups of flour
Step-by-step explanation:
8.5 - 3.2 = 5.3 cups of flour
A survey of 2400 was given to people who owned a certain type of car, 1080 said they would buy that type of car again. What percent of the people surveyed were completely satisfied with the car.
Answers
Answer: 45% were completely satisfied with the car.
Step-by-step explanation: You have to divide 1080 by 2400 and then change the deciman into a percentage.
True/False: 4.5/3.0 = 4.8/3.2
Answers
Answer:
false
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
4.5/3.0 = 1.5
4.8/3.2 = 1.5
Robert is collecting books to donate to the library.
The number of books he collects, nn, is defined by n=14d+21 where d is the number
of days he spends collecting books.
What does 14 represent in the context of Robert's book collecting?
A represents the number of books per day that are collected.
B represents the number of books per week that are collected.
C represents the number of books per month that are collected.
D represents the number of books per year that are collected.
Number 6 btw
Answers
The answer is c because it makes sense that it would be months.
Answer:
is A because basically in my EXAM is just have the first option
Melissa’s family is driving out of state to her grandmother’s house. They know that it takes 20 gallons of gas to get there, and the cost of three gallons of gasoline is $10.50. How much should the family budget to make the one-way trip?
Answers
Answer: 20/3 * $10.50 = &73.5
.
HOPE THIS HELPS TOUCH THANKS PLEASEStep-by-step explanation:
Answer:
73.5$
Step-by-step explanation:
21/7=3 so 10.50*7 will give the budget
98% of a number is 49 find the number using proportional reasoning
Answers
Answer:
98% of 50 is 49. 100% of 50 is 50, therefore 98 percent of 50 equals 49.
Step-by-step explanation:
Multiplying both sides by 100 and dividing both sides by 98,
we have x = 49 ×
100 /98 X=50
How many blue circles are equivalent to the orange square? Explain how you know.
Answers
Answer:
5 blue circles are equivalent to the orange square
Step-by-step explanation:
If you take away 2 blue circles from each side so that the orange square is by it's self, and the equation stays balanced, you will be left with 5 blue circles on the side without the orange square.
Answer:
5
Step-by-step explanation:
There are a total of 7 blue circles on the right side and 2 on the left.
You also know that both sides are equivalent.
You can assume that the all the blue circles have the same weight
If you subtract the only blue circles from the left from the 7 blue circles on the right you get
1 orange square on the left and 5 blue circles on the right.