Answer:
300.00
Step-by-step explanation:
Question 1 (2 points)
(03.04)
For the function f(x) = -(x + 1)2 + 4, identify the vertex, domain, and range. (2 points)
A-The vertex is (-1,4), the domain is all real numbers, and the range is y greater than4.
B-The vertex is (-1, 4), the domain is all real numbers, and the range is y less than4.
C-The vertex is (1,4), the domain is all real numbers, and the range is y greater than 4.
D-The vertex is (1.4), the domain is all real numbers, and the range is y less than4.
Answer:
The vertex is (-1, 4), the domain is all real numbers, and the range is y less than 4
Step-by-step explanation:
Given
[tex]f(x) = -(x+1)^2 + 4[/tex]
Solving (a): The vertex;
Assume the general form of a function is
[tex]f(x) = a(x-h)^2+k[/tex]
The vertex is determined by [tex](h,k)[/tex]
By comparison, we have:
[tex]-h = 1[/tex]
Solve for h, we have:
[tex]h = -1[/tex]
[tex]k = 4[/tex]
So, the vertex is:
[tex](h,k) = (-1,4)[/tex]
The domain; x is all real numbers
From the function;
[tex]f(x) = -(x+1)^2 + 4[/tex]
This can be rewritten as:
[tex]f(x) = 4 - (x+1)^2[/tex]
This implies that:
Whatever the value of [tex](x + 1)^2[/tex] is, it will be subtracted from 4 to give y or f(x);
Hence:
y is less than 4
Option B answers the question
you deposit 10000 into a bank account. the account pays 4 annual interest compounded quarterly. find the balance after 5 years.
You may need to delete the comma if you are entering this result into a computer system.
=====================================================
Work Shown:
P = 10,000 = deposit
r = 0.04 = decimal form of 4% interest rate
n = 4 = we're compounding 4 times a year
t = 5 years
-------------
A = P*(1+r/n)^(n*t) .... compound interest formula
A = 10,000*(1+0.04/4)^(4*5)
A = 12,201.9003994797
A = 12,201.90
After 5 years, there is $12,201.90 in the account.
This is assuming you do not deposit any more money, and it also assumes that you don't take any money out during the 5 year timespan either.
Solve for j if aj+k=v
Answer:
j=v-k/a
Step-by-step explanation:
It's like order of operations backwards. So first, you would get rid of the k, by subtracting it from both sides. Then, to isolate j you would divide both sides by a.
Scientists examined data on mean summer sea‑surface temperatures (in degrees Celsius) and mean coral growth (in millimeters per year) over a several‑year period at locations in the Red Sea.
Temperature (∘C) 29.55 29.96 30.04 30.28 30.34 30.47 30.81
Growth (mm/y) 2.64 2.37 2 .74 2.52 2.34 2.46 2.31
Required:
Use your calculator to find the mean and standard deviation of both sea surface temperature x and growth y and the correlation r between x and y . Then use these basic measures to find the slope and intercept of the least‑squares line for predicting y from x .
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data:
Temperature (∘C) 29.55 29.96 30.04 30.28 30.34 30.47 30.81
Growth (mm/y) 2.64 2.37 2.74 2.52 2.34 2.46 2.31
Using calculator and treating temperature and growth data as samples :
Temperature :
Mean : ΣX/n
n = sample size
Mean temperature (m) = 211.45 / 7
Mean temperature = 30.21°C
Standard deviation (s) :
Sqrt(Σ(X - m)²/n - 1)
s = 0.403
Growth:
Mean : ΣX/n
n = sample size
Mean growth (m) = 17.38 / 7
Mean growth = 2.483 mm/yr
Standard deviation (s) :
Sqrt(Σ(X - m)²/n - 1)
s = 0.161
Using the correlation Coefficient a calculator : the correlation Coefficient is - 0.6278, This shows that a negative relationship exists between both variables.
The intercept of the graph = 17.812
The slope of the relationship : -0.504
What similarity rule can be used to prove the triangles are similar . plz help
Answer:
SAS
Step-by-step explanation:
Arrange the steps to solve the equation V3+3-V23-1= -2.
-Simplify to obtain the final radical term on one side of the equation.
-Raise both sides of the equation to the power of 2.
-Apply the Zero Product Rule.
-Use the quadratic formula to find the values of x.
-Simplify to get a quadratic equation
-Raise both sides of the equation to the power of 2 again.
Answer:
1. Raise both sides of the equation to the power of 2.
2. Simplify to obtain the final radical term on one side of the equation.
3. Raise both sides of the equation to the power of 2 again.
4 . Simplify to get a quadratic equation.
5. Use the quadratic formula to find the values of x.
) A watershed experiences a rainfall of 8 inches. What is the runoff volume when the curve number is 80
Answer:
5.625 inches
Step-by-step explanation:
Given that:
Total Rainfall in inches (P) = 8 inches
The runoff volume (in inches) Q = ???
The curve number CN = 80
Recall that: The runoff volume can be calculated by using the formula:
[tex]Q = \dfrac{(P-0.2S)^2}{(P+0.8S)}[/tex] for P > 0.2S
Q = 0 for P < 0.2S
[tex]S = \dfrac{1000}{CN}-10[/tex]
where:
curve number CN = 80
[tex]S = \dfrac{1000}{80}-10[/tex]
S = 2.5 inches
Since the rainfall (P) is greater than 0.25
Then:
[tex]Q = \dfrac{(P-0.2S)^2}{(P+0.8S)}[/tex]
[tex]Q = \dfrac{(8-0.2(2.5))^2}{(8+0.8(2.5))}[/tex]
[tex]Q = \dfrac{(8-0.5)^2}{(8+2)}[/tex]
[tex]Q = \dfrac{(7.5)^2}{(10)}[/tex]
[tex]Q = \dfrac{(56.25)}{(10)}[/tex]
Q = 5.625 inches
Thus, the runoff volume = 5.625 inches
Find the equations of any horizontal tangents to the curve
y = x^3 - 3x ^2 - 9x + 2
Answers:
y = -25
y = 7
Step-by-step explanation:
Find the derivative of the function.
[tex]\frac{dy}{dx} y = 3x^2-6x-9[/tex]
The zeros of the derivative are the local extrema (Maximum & Minimum)
[tex]0 = 3x^2-6x-9[/tex]
Take out the greatest common factor, 3, to get this equation:
[tex]0 = 3(x^2-2x-3)[/tex]
Factor out the brackets.
[tex]0 = 3(x - 3) ( x + 1 )[/tex]
You are left with two possible values for x:
x = 3
x = -1
By substituting each value into the original function [tex]y = x^3 - 3x^2 - 9x + 2[/tex], you get the equation of any horizontal tangents to the curve.
When x = 3:
[tex]y = (3)^3 - 3(3)^2 - 9(3) + 2 = -25[/tex] Meaning y = -25
When x = -1:
[tex]y = (-1)^3 - 3(-1)^2 - 9(-1) + 2 = 7[/tex] Meaning y = 7
Kevin was playing a trivia game. For each correct answer he scored 1 1 / 2 points. For each incorrect answer he scored - 1 / 2 point. What was his final score if he got 8 correct and 3 incorrect?
Answer:
42.5
Step-by-step explanation:
Point for correct score = [tex]\frac{11}{2}[/tex] = 5.5
Point for incorrect score = [tex]\frac{1}{2}[/tex] = 0.5
Unknown:
Final score = ?
Solution:
Number of correct score = 8
Points gained = 8 x 5.5 = 44
Number of incorrect score = 3
Points lost = 3 x 0.5 = 1.5
His final score = 44 - 1.5 = 42.5
HELP ASAP Members of the school orchestra are organizing a trip to a concert. If tickets cost $14 each, how many tickets can be purchased with $500? please show work i will make you brainlist
Answer:
you can have 35 tickets
Step-by-step explanation:
Which statement describes the inverse of m(x) = x^2 – 17x?
a. The domain restriction x ≥ StartFraction 17 Over 2 EndFraction results in m–1(x) =StartFraction 17 Over 2 EndFraction minus StartRoot x + StartFraction 289 Over 4 EndFraction EndRoot .
b. The domain restriction x ≥ StartFraction 17 Over 2 EndFraction results in m–1(x) =StartFraction 17 Over 2 EndFraction + StartRoot x + StartFraction 289 Over 4 EndFraction EndRoot .
c. The domain restriction x ≥ Negative StartFraction 17 Over 2 EndFraction results in m–1(x) =StartFraction 17 Over 2 EndFraction minus StartRoot x + StartFraction 289 Over 4 EndFraction EndRoot .
d.The domain restriction x ≥ Negative StartFraction 17 Over 2 EndFraction results in m–1(x) =StartFraction 17 Over 2 EndFraction + StartRoot x + StartFraction 289 Over 4 EndFraction EndRoot .
Given:
The function is
[tex]m(x)=x^2-17x[/tex]
To find:
The inverse of the given function.
Solution:
We have,
[tex]m(x)=x^2-17x[/tex]
Substitute m(x)=y.
[tex]y=x^2-17x[/tex]
Interchange x and y.
[tex]x=y^2-17y[/tex]
Add square of half of coefficient of y , i.e., [tex]\left(\dfrac{-17}{2}\right)^2[/tex] on both sides,
[tex]x+\left(\dfrac{-17}{2}\right)^2=y^2-17y+\left(\dfrac{-17}{2}\right)^2[/tex]
[tex]x+\left(\dfrac{17}{2}\right)^2=y^2-17y+\left(\dfrac{17}{2}\right)^2[/tex]
[tex]x+\left(\dfrac{17}{2}\right)^2=\left(y-\dfrac{17}{2}\right)^2[/tex] [tex][\because (a-b)^2=a^2-2ab+b^2][/tex]
Taking square root on both sides.
[tex]\sqrt{x+\left(\dfrac{17}{2}\right)^2}=y-\dfrac{17}{2}[/tex]
Add [tex]\dfrac{17}{2}[/tex] on both sides.
[tex]\sqrt{x+\left(\dfrac{17}{2}\right)^2}+\dfrac{17}{2}=y[/tex]
Substitute [tex]y=m^{-1}(x)[/tex].
[tex]m^{-1}(x)=\sqrt{x+(\dfrac{189}{4}})+\dfrac{17}{2}[/tex]
We know that, negative term inside the root is not real number. So,
[tex]x+\left(\dfrac{17}{2}\right)^2\geq 0[/tex]
[tex]x\geq -\left(\dfrac{17}{2}\right)^2[/tex]
Therefore, the restricted domain is [tex]x\geq -\left(\dfrac{17}{2}\right)^2[/tex] and the inverse function is [tex]m^{-1}(x)=\sqrt{x+(\dfrac{189}{4}})+\dfrac{17}{2}[/tex].
Hence, option D is correct.
Note: In all the options square of [tex]\dfrac{17}{2}[/tex] is missing in restricted domain.
Answer:
C on edu
Step-by-step explanation:
1+1+1=????????????? pls help
Answer:
3
Step-by-step explanation:
if you have a class RIGHT NOW ethier google classroom are zoom let me crash it if yall board
Answer:
i have a class now but i will get in trouble sry
Step-by-step explanation:
Answer:
Meeting ID: 851 5556 0217
Step-by-step explanation:
i hate school proceed as you wish good sir! :)
meeting starts at 11:10 btw
A deep sea diver descended from a rock that is 45 feet below
The cruising speed of a 747 airplane is 9,944 in per second what is the speed to the nearest foot per second
Answer:
Divide 9944 by 12 feet per second
828.666 or 828.7
Step-by-step explanation:
9514 1404 393
Answer:
829 ft/s
Step-by-step explanation:
Multiply by a conversion factor that cancels the units you don't want and gives you the units you do want.
[tex]\dfrac{9944\text{ in}}{\text{s}}\times\dfrac{1\text{ ft}}{12\text{ in}}=\dfrac{828.\overline{6}\text{ ft}}{\text{s}}\approx\boxed{829\text{ ft/s}}[/tex]
Solve for x. -2x-4>8
Answer:
x<-6
Step-by-step explanation:
-2x-4>8
(move the constant to the right)
-2x > 8+ 4
(calculate)
-2x>12
(divide both sides)
x<-6
(your answer)
Name all rays with endpoint E
Answer: Is there an image??
AE, BE, CE, and DE is the rays with endpoint E.
What is a vector?An item with both magnitude and direction is referred to be a vector.
A vector can be visualized geometrically as a straight spline, with a pointing in the orientation and a length equal to the value of the vector.
Geometrical objects with magnitude and direction are called vectors.
A line with an arrow in its direction can also be used to represent a vector, and the length of the line relates to the vector's amplitude.
Given the figure,
The endpoint of all rays is E.
The rays associated with point E are;
AE, BE, CE, and DE
Hence "AE, BE, CE, and DE is the rays with endpoint E".
For more information about vector,
brainly.com/question/13322477
#SPJ2
true or false 2*10=2*10^3
Answer:
false
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
2*10 = 20
So your equation would look like this:
20 = 2*10^3
10 to the third power is 1000
1000*2 = 2000
2000 is not equal to 20
Hope I helped :)
Please consider Brainliest :)
PLEASE ANSWER I HAVE 10 MINUTES!!!
Answer:
1,3,4
Step-by-step explanation: hope this helps you
IM NOT GOOD AT MATH PLEASE HELP WITH THESE FEW QUESTIONS ASAP
Answer:
for the first question
solve for t:t= square root of 2da/a (2da over a)
Solve for a : a= 2d/t squared
Solver for d: d=t squared /2(over 2)
Step-by-step explanation:
what kind of line is this? 2y=19
wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwhat is 0/0
Which statements are true about points A, B, and C? Check all that apply.
Answer:
b
Step-by-step explanation:
Answer:
2 & 5
Step-by-step explanation:
**PLEASE HELP THIS IS DUE TODAY** when the sun's declination is at the highest point, what direction does the sun rise and set?
-7+8
what is negative 7 plus 8?
Answer:
1
Step-by-step explanation:
You could have just used a calculator tard lol
Answer:
1
Step-by-step explanation:
-7 +8=1 cause you have 1 positive left over
estimate 3,156-2,163 by first rounding each number to the nearest hundred
Answer:
3
,
154
,
163
3,154,163
Step-by-step explanation:
If a =
3
5
, b = 3, c = 1, d = 5, which equality is true?
A)
d
a
=
b
c
B)
a
b
=
c
d
C)
b
a
=
c
d
D)
a
d
=
b
c
Answer:
I'm nauseous, I'm dyin'
(She ripped my heart right out)
Can't find her, someone to
(My eyes are all cried out)
Lost it, riots
Gunfire inside my head, I've
Lost it, riots
Gunfire inside my head 78tt566786876
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
just took this test
Juana had a board that was 54 inches long. She cut off 22.5 inches for a project. How may inches of the board remain?
Answer:
Step-by-step explanation:
4+2=5
-2323
asdasd
Evaluate the expression
3n - x =
if n = 5 and x = 3
Answer:
12
Step-by-step explanation:
Answer:
she's a 100% correct its 12
Step-by-step explanation:
Give her brainliest!!!!!!
A farmer decided to put a fence around his property that measures 170 feet long and 120 feet wide. What is the perimeter of his property?
Answer:
290 ft is the perimeter
Step-by-step explanation:
170+120=290 ft
580 feet.
To find perimeter, you have to add up all the sides, so add length, length, width, and width.
170+ 170+120+120
This gives you 580 ft.
Don't forget the unit!
If this helped, please mark branliest