Answers
Answer:
f(x) = -5/81( x^2 -2x - 80)
Step-by-step explanation:
The zeroes are -8 and 10 so we can write :
f(x) = -a(x - 10)(x + 8)
( negative is because the parabola opens downwards).
The maximum value is at the vertex = 5.
f(x) = -a(x^2 - 2x - 80)
= a[(x - 1)^2 - 1 - 80)
= a(x - 1)^2 - 81a
As the vertex is at f(x) = 5
81a = 5 so a = 5/81
So the equation is
f(x) = -5/81( x^2 -2x - 80)
Related Questions
The first time the United States enacted a temporary income tax was ?
Answers
On August 5, 1861, President Lincoln imposes the first federal income tax by signing the Revenue Act. Strapped for cash with which to pursue the Civil War, Lincoln and Congress agreed to impose a 3 percent tax on annual incomes over $800.
need help I don’t know what to do please help !!
Answers
Answer:
Yes, because the monthly service fee is approximately the same each month.
Step-by-step explanation:
At one month, the service fee is around $50, then from month one to month two the service fee is around $50, and so on. Just focus on the line and the points it makes in respect to the month to cost ratio.
Amortization for 2021, $3.Record on adjusting entry
Answers
The adjusting entry for the Software of Northland Physical Therapy is as follows:
Adjusting Journal Entry:December 31, 2018:
Debit Amortization Expense $3
Credit Accumulated Amortization $3
To record the amortization expense for the year.What is an Adjusting Entry:An adjusting entry for Amortization records the amortization expense for the period, which is debited. It also credits the Accumulated Amortization, increasing the amount of the amortization expense.
For instance, the Amortization Expense for Northland Physical Therapy's Software is recorded as above.
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Decide whether you have enough information to determine that the triangles are congruent. If they are congruent, explain why.
Answers
This rectangle has a perimeter of 36 units. Create a table that shows the length and width with at least 3 different rectangles that also have a Create a table that shows the length and width with at least 3 different rectangles that also have a perimeters of 36 units. Describe the relationship between the columns of your table.
Answers
For the rectangle to have a perimeter of 36 units, the sum of the length and the width must equal 18 units
How to create the table?The given parameter is:
Perimeter = 36 units
The perimeter of a rectangle is:
Perimeter = 2 * (Length + Width)
So, we have;
36 = 2 * (Length + Width)
Divide both sides by 2
Length + Width = 18
This means that for the rectangle to have a perimeter of 36 units, the sum of the length and the width must equal 18 units
So, the possible table of values is:
Length Width
5 13
8 10
9 9
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The local animal shelter had 12 dogs at the beginning of the month. Since then, the number of dogs at the shelter has decreased by 75%. How many dogs are at the animal shelter today?
Answers
Answer:
3
Step-by-step explanation:
75% is equal to 3/4
The easiest way to do this is to divide 12 by 4.
12/4 = 3
Now multiply this by three to get 3/4 of 12.
3 x 3 = 9
9 dogs left the shelter.
12 - 9 = 3
There are three dogs left.
anyone? giving brainliest to correct answer
Answers
Answer:
im not really sure what that means im so sorry
Step-by-step explanation:
Use mathematical induction to prove that, for n ≥ 1, n³ – n is divisible by 3.
Answers
Answer:
Step-by-step explanation:
x+y=1
3y=-3x+3
I don't know how to do this, I have tried everything, please help.
Answers
[tex]\begin{cases} x+y=1\\\\ 3y=-3x+3 \end{cases}\hspace{5em}\stackrel{\textit{using the 1st equation}}{x+y=1\implies y=1-x} \\\\\\ \stackrel{\textit{substituting on the 2nd equation}}{3\stackrel{y}{(1-x)}~~ = ~~-3x+3\implies 3-3x=-3x+3}\implies 0~~ = ~~0[/tex]
now... the result could have been 3 = 3, or hmmm something like so, which is a bit of a flag hmmm let's take a closer look at the 2nd equation
[tex]\begin{cases} \boxed{x+y=1}\\\\ 3y=-3x+3 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ 3y=-3x+3\implies 3y=3(-x+1)\implies \cfrac{3y}{3}=-x+1 \\\\\\ y=-x+1\implies \boxed{x+y=1}[/tex]
let's notice, the 2nd equation is really the 1st one in disguise, so both equations are exactly equal. So what's the solution to that? well, there isn't one solution per se, if we were to graph both lines, it'll be the graph on one line pancaked on top of the other, and where they touch each other is the solution, well, hell they touch each other everywhere, and since both lines go to infinity, then they have infinitely many solutions.
Which of the following equations defines a line that passes through the points begin ordered pair negative 2 comma 7 end ordered pair and begin ordered pair 6 comma negative 9 end ordered pair?
Answers
The linear equation that passes through points (-2,7) and (6,-9) is given by:
y = -2x + 3
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.The line passes through points (-2,7) and (6,-9), hence the slope is given by:
m = (-9 - 7)/(6 - (-2)) = -2.
Hence, since when x = -2, y = 7, when x = 0, y = 7 - 2 x (0 - (-2)) = 3, which means that the y-intercept is of b = 3, and the equation is given by:
y = -2x + 3.
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Calculus, factor the given polynomial completely.
Answers
-8x-9=72
-8+-9=-17
help me please i don't know what to do
Answers
Answer:
a. a = 1, b = -5, c = -14
b. a = 1, b = -6, c = 9
c. a = -1, b = -1, c = -3
d. a = 1, b = 0, c = -1
e. a = 1, b = 0, c = -3
Step-by-step explanation:
a. x-ints at 7 and -2
this means that our quadratic equation must factor to:
[tex](x-7)(x+2) = 0[/tex]
FOIL:
[tex]x^2 + 2x - 7x - 14 = 0[/tex]
Simplify:
[tex]x^2 - 5x - 14 = 0[/tex]
a = 1, b = -5, c = -14
b. one x-int at 3
this means that the equation will factor to:
[tex](x-3)^2=0[/tex]
FOIL:
[tex]x^2 - 3x - 3x +9 = 0[/tex]
Simplify:
[tex]x^2 - 6x + 9 = 0[/tex]
a = 1, b = -6, c = 9
c. no x-int and negative y must be less than 0
This means that our vertex must be below the x-axis and our parabola must point down
There are many equations for this, but one could be:
[tex]-x^2-x-3=0[/tex]
a = -1, b = -1, c = -3
d. one positive x-int, one negative x-int
We can use any x-intercepts, so let's just use -1 and 1
The equation will factor to:
[tex](x+1)(x-1)=0[/tex]
This is a perfect square
FOIL:
[tex]x^2-1=0[/tex]
a = 1, b = 0, c = -1
e. x-int at [tex]\sqrt{3} , -\sqrt{3}[/tex]
our equation will factor to:
[tex](x+\sqrt{3} )(x-\sqrt{3)} =0[/tex]
This is also a perfect square
FOIL and you will get:
[tex]x^2 - 3 = 0[/tex]
a = 1, b = 0, c = -3
Please help me do this question mathematics expert
Answers
Answer:
[tex]\textsf{i)} \quad \text{T} &=2 \pi r^2 + \dfrac{26}{r}[/tex]
ii) radius = 1.27 cm (3 sf)
height = 2.55 cm (3 sf)
Step-by-step explanation:
[tex]\text{Volume of a cylinder}=\pi r^2 h \quad \text{(where r is radius and h is height)}[/tex]
Given volume = 13 cm³, rewrite the equation making h the subject:
[tex]\implies 13=\pi r^2 h[/tex]
[tex]\implies h=\dfrac{13}{\pi r^2}[/tex]
Substitute found expression for h into the Surface Area equation to find the expression for the total surface area, T:
[tex]\begin{aligned}\text{Surface Area of a cylinder} & =2 \pi r^2 + 2 \pi r h\\\implies \text{Surface Area} & =2 \pi r^2 + 2 \pi r \left(\dfrac{13}{\pi r^2}\right)\\& =2 \pi r^2 + \dfrac{26 \pi r}{\pi r^2}\\ \implies \text{T} &=2 \pi r^2 + \dfrac{26}{r}\end{aligned}[/tex]
To find the radius of the minimum surface area, differentiate T with respect to r:
[tex]\begin{aligned}\text{T}& =2 \pi r^2 +26r^{-1}\\\implies \dfrac{dT}{dr} & =(2)2 \pi r^{(2-1)}+(-1)26r^{(-1-1)}\\ & =4 \pi r-26r^{-2}\\ & =4 \pi r-\dfrac{26}{r^2}\\ & = \dfrac{4 \pi r^3-26}{r^2} \end{aligned}[/tex]
Set it to zero, and solve for r:
[tex]\begin{aligned}\dfrac{dT}{dr} & = 0 \\\implies \dfrac{4 \pi r^3-26}{r^2} & = 0 \\\impliles 4 \pi r^3-26 & = 0 \\4 \pi r^3 & = 26 \\r^3 & = \dfrac{13}{2 \pi} \\r & = \sqrt[3]{\dfrac{13}{2 \pi}} \end{aligned}[/tex]
To find the height, substitute the found value of r into the equation for height (found previously):
[tex]\begin{aligned}h & =\dfrac{13}{\pi r^2} \\\implies h & =\dfrac{13}{\pi \left(\sqrt[3]{\dfrac{13}{2 \pi}}\right)^2} \\& =2.548499134\end{aligned}[/tex]
Therefore,
radius = 1.274249567... = 1.27 cm (3 sf)height = 2.548499134... = 2.55 cm (3 sf)H The price of a 2 pack Mini Brands is no more than $15. Write an inequality to represent this scenario.i
Answers
A collectors item is purchased for $150 and it’s value increases by 3% each year. Which graph can be used to determine approximately how many years it will take for the value to double
Answers
Answer:
we are given A collector’s item is purchased for $150so, its value increases by 3% each yearso, t is time in yearsLet's assume cost of item after t years is C(t)so, we can use formula now, we can plug values so, equation is After doubling C(t)=2*150=300so, we can set C(t)=300and then we can solve for twe get so, doubling time is 23.44977 years
Answer:
B works ; it starts at 150, is positive, and slowly reaches 300
Step-by-step explanation:
Edge
Shawna says her mug holds 100 milliliters.
Shelly says that the mug holds 1 liter.
Is Shelly correct?
Answers
Answer:
In 1 liter there are 1000 milliliters so because 100 ≠ 1000 the answer is no
Write an equation in slope-intercept form of the line that passes through the point (-6,8) and has a slope of 1/2
Answers
Answer:
Step-by-step explanation:
Remark
You can get 1/2 the unknown just by looking at the givens. The slope is just given -- no need to modify it.
The y intercept is a little harder. You need the point for that.
Givens
Slope = 1/2
point = (-6,8)
Formula
y = mx + b
Solution
m = 1/2
y = 1/2x + b To find b,
x = -6y = 88 = 1/2(-6) + b
8 = -3 + b Add 3 to both sides
8 + 3 = b
b = 11
Answer
y = 1/2x + 11
Answer:
y = 1/2x+11
Step-by-step explanation:
Slope intercept form is
y = mx+b where m is the slope and b is the y intercept
y = 1/2x +b
We can use the point on the line to find b
8 = 1/2(-6) +b
8 = -3+b
Add 3 to each side
8+3 =-3+3 b
11 = b
y = 1/2x+11
Solve for x/4 - 8 = y for x.
A. x = 4y - 32
B. x = 4y + 32
C. x = 1/4t - 2
D. x = 1/4y + 2
Answers
Answer:
B
Step-by-step explanation:
add 8 to both sides and multiply both y and 8 by 4 to get 4y and 32
Matthew had to make a bridge for his math class. It had to be at least 1 1/2 feet long. Harold made a bridge that was 2 1/3 times as long as Matthew’s. What equation would you use to find out how long Harold’s bridge is?
Answers
The equation used for finding the length of Harold's bridge will be 3H-7M=0 Length will be H = 1/√2
What is an equation?
The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.
Here we have the following data:-
Matthew's bridge length is
1(1/2)=3/2
Now we have that Harold made a bridge that was 2 1/3 times as long as Matthew’s. From this data the equation will be:-
[tex]H=2\dfrac{1}{3}M\\\\\\H-\dfrac{7}{3}M=0\\\\\\3H-\dfrac{7\times 3}{2}=0\\\\\\H=\dfrac{1}{\sqrt{2}}[/tex]
The equation used for finding the length of Harold's bridge will be 3G-7M=0 Length will be H = 1/√2
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The area of a triangle is 34 cm2. The triangle is enlarged by a scale factor of 2. What is
the area, in cm², of the enlarged triangle?
Answers
Samuel is trying to construct the inscribed circle of a triangle.
However, all he can remember is the first step: Use angle bisectors
to find the incenter. What is the next step he needs to do to
complete the construction?
Answers
The next step to complete the construction will connect the in-center to one of the sides of the triangle.
What is a circle?It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)
Samuel is trying to construct the inscribed circle of a triangle.
Using the angle bisectors to find the in-center.
Where two angles bisector meets, the point called in-center.
Next step will be: connect the in-center to one of the sides of the triangle.
Thus, the next step to complete the construction will be connect the in-center to one of the sides of the triangle.
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Choices:
A. 0.38
B. 0.64
C. 0.69
D. 2.00
Answers
Answer I think it is a
Step-by-step explanation: A
given h(x) = 7x^2 -45x + 12, find h(x) = 18. help!! please explain and show work.
Answers
The value of variable x of provided quadratic function at h(x) = 18 are 6.56 and -0.13. These points explain solution of the equation.
What is quadratic formula?Quadratic formula is the formula which is used to find the roots of a quadratic equation.The standard form of the quadratic equation is,
ax²+bx+c=0
For the above equation, the quadratic formula can be given as,
[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
The equation of variable x is given as,
h(x) = 7x²-45x + 12,
The value of h(x) = 18 has to be found out. Put 18 on the place of h(x) in the above equation.
18 = 7x²-45x + 12
0= 7x²-45x + 12-18
0=7x²-45x -6
Find the roots of the equation using the quadratic formula:
[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\dfrac{-(-45)\pm\sqrt{(-45)^2-4(7)(-6)}}{2(-6)}\\x=6.56,-0.13[/tex]
Thus, the value of variable x of provided quadratic function at h(x) = 18 are 6.56 and -0.13. These points explain the solution of the equation.
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Shade the mode model. Then write the decimal.
Answers
Answer:
no picture
Step-by-step explanation:
just search it up
Please help me with this thing please
Answers
Identify the pattern of the following sentences
1. I've already told the detective what I know about it.
2. They were very excited.
3. The police have identified the robbers.
4. I was eating a sandwich for lunch.
5. My cousin painted quite badly.
6. They are going to eat-out.
7. She never gives up.
8. I bought a drink for her.
9. The company has offered me a good job.
He usually spends all his money.
Answers
The pattern of the sentences are:
1. Subject + verb + object
2. Subject + verb.
3. Subject + verb + object
4. Subject + verb + adjectives.
What is Sentence pattern?Sentence patterns is known to be a sentence that is said to be made of up of phrases and also clauses.
Therefore, The pattern of the sentences are:
1. Subject + verb + object
2. Subject + verb.
3. Subject + verb + object
4. Subject + verb + adjectives. is correct.
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In which of the following do you expect the correlation coefficient to be negative?
This is my last question I need please help
Answers
Answer:
The graph I expect to have a negative correlation is the third graph.
Step-by-step explanation:
Positive correlation is when the the x-values increase with a corresponding increase in y-values.
Negative correlation is when the x-values increases with a corresponding decrease in y-values.
No correlation is when only x or y variable changes.
From the graphs given the only one that has a negative correlation is the third graph.
I need some help with this question.
Answers
Answer:
#1 d #2 c
Step-by-step explanation:
to get these answers I just did the math on all of them
A triangle has sides with lengths of 5 kilometers, 12 kilometers, and 13 kilometers. Is it a
right triangle?
Answers
Answer:
Yes
Step-by-step explanation:
Because when you draw it u get a right angle
What is the value of x in this figure?
Enter your answer in the box.
x =
The figure contains a pair intersecting lines. One angle is labeled 48 degrees. The angle that is opposite and not adjacent to this angle is labeled x degrees.
will give brainliest this is for k12 final
Answers
Answer:
132 is the one to the right of it and next one going clockwise wold probably be 48 continueing clockwise the next would be 132 again
Step-by-step explanation: