Answers
Answer:
f(x) = (x + 4)^2 - 5
Step-by-step explanation:
Parent function: f(x) = x^2
To show this in a way that may look more familiar, f(x) = 1(x - 0)^2 + 0
Vertex form: f(x) = a(x - h)^2 + k
We know a = 1, because the slope is the same as the parent function.
Vertex: (h,k)
We can see that the vertex of the graph is (-4, -5)
So h = -4 and k = -5
Now all we need to do is plug the variables into our equation.
f(x) = a(x - h)^2 + k
f(x) = 1(x + 4)^2 - 5
f(x) = (x + 4)^2 - 5
Related Questions
In the equation 17x2 = 12x, the value of c is:
O
0 12
O 17
Answers
Answer:
ok ok ok ok ok ok ok
Step-by-step explanation:
. Out of 140 students, 50 passed in English and 20 passed in both Nepali and English. The number of students who passed in Nepali is twice the number of students who passed in English. Using a Venn-diagram, find the number of students who passed in Nepali only and who didn't pass in both subjects.
Answers
Answer:
80 ;
10
Step-by-step explanation:
Given :
Total number of students = μ = 140
Let :
Number of students who passed in English = E
Number of students who passed in Nepali = N
n(NnE) = 20
n(E) only = n(E) - n(NnE) = 50 - 20 = 30
Students who passed English only = 30
Number of students who passed in Nepali is twice the number who passed in English
n(N) = 2 * n(E) = 2 * 50 = 100
Number of students who passed in Nepali only
n(N) only = n(N) - n(NnE) = 100 - 20 = 80
Students who passed Nepali only = 80
The number who didn't pass both subjects :
μ - (English only + Nepali only + English and Nepali)
140 - (30 + 80 + 20)
140 - 130
= 10
[tex]solve : - \\ \\ (10 {}^{2} - 6 {}^{2} ) = {?}[/tex]
Answers
[tex]\longrightarrow{\blue{64}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex] = (10 {}^{2} - 6 {}^{2} ) [/tex]
[tex] = [(10 \times 10) - (6 \times 6)][/tex]
[tex] = (10 0- 36)[/tex]
[tex] = 64[/tex]
[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35ヅ}}}}}[/tex]
How many years will it take $2,000 to grow to $3,300 if it is invested at 4.75% compounded continuously?
Answers
Answer:
10.54263764
Step-by-step explanation:
[tex]3300=2000e^{.0475t}\\\\1.65=e^{.0475t}\\\ln(1.65)=.0475t\\.500775288=.0475t\\t=10.54263764[/tex]
Answer:
It will take about 10.5 years for the investment to reach $3,300.
Step-by-step explanation:
Continuous compound is given by:
[tex]\displaystyle A=Pe^{rt}[/tex]
Where P is the principal, e is Euler's number, r is the rate, and t is the time (in this case in years).
Since our principal is $2,000 at a rate of 4.75% or 0.0475, our equation is:
[tex]\displaystyle A=2000e^{0.0475t}[/tex]
We want to find the number of years it will take for our investment to reach $3,300. So, substitute 3300 for A and solve for t:
[tex]3300=2000e^{0.0475t}[/tex]
Divide both sides by 2000:
[tex]\displaystyle e^{0.0475t}=\frac{33}{20}[/tex]
We can take the natural log of both sides:
[tex]\displaystyle 0.0475t=\ln\left(\frac{33}{20}\right)[/tex]
Therefore:
[tex]\displaystyle t=\frac{1}{0.0475}\ln\left(\frac{33}{20}\right)\approx 10.54\text{ years}[/tex]
It will take about 10.5 years for the investment to reach $3,300.
What should the following equation be multiplied by in order to eliminate the fractions?
Answers
Answer:
6
Step-by-step explanation:
To figure out what needs to be multiplied, we need to find the least common denominator. By finding this, we know that what we multiply the equation with will be a multiple of each denominator, meaning that there will be no fractions left.
We can find the least common denominator by listing multiples of each fraction, and finding which one is the smallest but still in each list.
3: 3, 6, 9, 12...
2: 2, 4, 6, 8...
6: 6, 12, 18, 24...
We can notice that 6 is the lowest number in each list. Therefore, 6 is our least common denominator, and if we multiply by 6, the fractions will be removed.
Answer:
6
Step-by-step explanation:
I took the quiz and got it correct.
Decrease £19064.67 by 9.5%
Give your answer rounded to 2 DP. (decimal place)
Please Help !!!
Answers
Multiply the amount by 9.5% then subtract.
19064.67 x 0.095 = 1,811.14
Now subtract:
19064.67 - 1811.14 = 17253.53
The answer is £17,253.53
What is the vertex of the function?
Consider the quadratic function:
f(x) = x2 - 8x - 9
Vertex: (zo
(2)
Answers
Answer:
(4 , -25)
Step-by-step explanation:
that is the procedure above
the vertex of the parabola is calculated by the formula
[tex]\displaystyle\ ax^2+bx+c\quad ;\quad \boxed{x_0=\frac{-b}{2a} \ \ ;\quad y_0 =ax_0^2+bx_0+c} \\\\x_0=-\frac{-8}{2} =4 \quad ; \ \ y_0 =16-32-9=-25 \\\\\ \ Answer: Coordinates \ \ of \ the \ vertex \ of \ the \ \ parabola \ \ (4;-25)[/tex]
Find the Value of x.
Answers
Answer:
x = 91
Step-by-step explanation:
Opposite angles of an inscribed quadrilateral are supplementary.
x + 89 = 180
x = 91
A rocket is launched vertically from the ground with an initial velocity of 64 ft/sec determine the rocket’s maximum height, the amount of time it took to reach its maximum height, and the amount of time it was in the air. graph if possible also
Answers
Answer:
Step-by-step explanation:
The easiest way to solve this is with calculus, believe it or not. The position function is
[tex]s(t)=-16t^2+64t[/tex]. The first derivative of this is the velocity function:
v(t) = -32t + 64. From physics, we know that at the max height of an object's path, the velocity is equal to 0, so setting this velocity equation equal to 0 and solving for time, will tell us the time it took to get to the max height (which we don't know yet, but we will in a bit):
0 = -32t + 64 and
-64 = -32t so
t = 2 seconds. It takes 2 seconds to reach a max height. Plugging that 2 in for t in the position function will tell you the max height that corresponds to this time:
[tex]s(2)=-16(2)^2+64(2)[/tex] and
s(2) = 64 feet.
So the max height is 64 feet and it is reached at 2 seconds after launching.
Also from physics we know that at halfway through a parabolic path, which is also the max height, we are halfway through time-wise as well. That means that if it takes 2 seconds to reach the max height from the ground, it will take another 2 seconds to fall to the ground.
So the total time the rocket is in the air is 4 seconds: 2 seconds to reach the max height and another 2 to fall back down.
Answer:
Step-by-step explanation:
find f(-2)for f(x)=5*3^x
Answers
f ( - 2 ) = 5 × 3^( - 2 )
f ( - 2 ) = 5 × 1/9
f ( - 2 ) = 5/9
Can someone help me with this math homework please!
Answers
Answer:
same after 3 years
because .............................
Answer:
The populations of orangutans will be same after 3 years
Step-by-step explanation:
Let the populations or orangutans is the same after n years
Decrease in population of oragnutans in the first study
=784-25n=784−25n
Decrease in population of oragnutans in the second study
=817-36n=817−36n
According to the question
784-25n=817-36n784−25n=817−36n
\implies 36n-25n=817-784⟹36n−25n=817−784
\implies 11n=33⟹11n=33
\implies 11n=33⟹11n=33
\implies n=\frac{33}{11}⟹n=
11
33
\implies n=3\text{ years}⟹n=3 years
Therefore, the populations of orangutans will be equal after 3 years
Hope this is helpful.
David is paid a salary of $1850 per month. He is also paid time and a half for work in excess of 40 hours a week. He worked 62 hours last week. What is his gross pay?
Answers
Answer:
$1,471.5625
Step-by-step explanation:
Monthly salary = $1850
Weekly salary = $1850/4 weeks
= $462.5
Hourly rate = $462.5/40 hours
= $11.5625
Overwork time = 62 hours - 40 hours
= 22 hours
Time and a half = 1.5 times the normal salary
Overwork time payment per hour = 1.5 × $11.5625
= $17.34375
Overwork time payment for 22 hours = 22 × $17.34375
= $381.5625
Last week salary = weekly salary + overtime payment
= $462.5 + $381.5625
= $84.0625
Gross salary for the month = 3 weeks regular salary + last week salary
= (3 × $462.5) + $84.0625
= $1387.5 + $84.0625
= $1,471.5625
Find the length of side xx in simplest radical form with a rational denominator.
Answers
Answer:
2/3.
Step-by-step explanation:
.
Answer:
Solution given:
the relationship between perpendicular and base is given by tan angle
Tan 60=opposite/Adjacent
[tex]\sqrt{3}[/tex]=x/3
x=[tex]3\sqrt{3}[/tex]
The value of x is [tex]3\sqrt{3}[/tex]
Given the function f(x) = 4x + 10 and g(x), which function has a greater slope?
x g(x)
2 5
4 7
6 9
f(x) has a greater slope.
g(x) has a greater slope.
The slopes of f(x) and g(x) are the same.
The slope of g(x) is undefined.
Answers
Explanation: when graphing g(x) on a graphing calc, you will see that the slope is 2/2, which is less than a slope of 4.
Hope this helps!!
Can someone help me explain this question? :( I have to record myself answering it and send it to my teacher
What is the effect on the graph of f(x) if it is changed to f(x) + 7, f(x + 7) or 7f(x)?
Answers
Step-by-step explanation:
The function f(x)+7 will shift the parent function up 7 units.
The function f(x+7) will shift the parent function to the left 7 units.
The function 7f(x) will stretch vertically by a factor of 7.
if the parent function is y=3^x, which is the function of the graph?
1) y=3^(x-4)-2
2) y=3^(x+4)+2
3) y=3^(x-4)+2
4) y=3^(x+4)-2
Answers
A rectangular floor of area 360 m2 is going to be tiled. Each tile is rectangular, and has an area of 240 cm2. An exact number of tiles can be put into the space. How many tiles will be... Solve quickly
Answers
Answer:
1500
Step-by-step explanation:
The area of the regtangular floor is 360m². The floor is going to be retired with tiles having area of 240cm² . We need to find the number of times . Therefore ,
[tex]\implies 360m^2 = 360 \times 10^4 \ cm^2 [/tex]
And , the number of tiles required will be ,
[tex]\implies n =\dfrac{Area \ of \ floor}{Area \ of \ a \ tile }\\\\\implies n =\dfrac{ 360 \times 10^4 \ cm^2}{240 cm^2} \\\\\implies \underline{\underline{ n = 1,500 }}[/tex]
Hence the required answer is 1500 .
Anita and beth have the same number of trading cards. Anita gives 18 of her cards to beth. As a result, beth has twice as many card as anita does. How many cards did anita have before she gave some away.
Answers
Answer:
18
Step-by-step explanation:
if Anita and Beth had the same amount of trading cards this means they each had 18 cards so when Anita gave Beth her cards the number of cards Beth had have been diul ed meaning Beth now has 36 cards while Anita has non
Find the length of side xx in simplest radical form with a rational denominator.
Answers
Answer:
Solution given:
Relationship base and hypotenuse is given by Cos angle
Now
Cos 60°=adjacent/hypotenuse=x/12
1/2=x/12
x=12/2
x=6
the value of x is 6.
The two triangles below are congruent. Which of the following are congruent by CPCTC?
Answers
Answer:
B.
Step-by-step explanation:
If you put the second triangle upright then turn it over (as if you were flipping a pancake). That would make B equal to R.
C would equal S
A would equal T
and
B would equal R
Answer:
b = R, mark me brainiest cause we besties
Step-by-step explanation:
A oil company has a large tank that holds the oil before it is distributed. If it costs $3.20 per cubic meter for oil, how much money would it cost to fill the entire tank?
A. $65,280
B. $68,000
C. $5,440
D. $67,200
Answers
Answer:
Option A, $65,280
Step-by-step explanation:
The volume of the tank is,
12×20×15+40×(50-15)×12
= 3600+16800
=20400 cubic meters
For each cubic meter, it costs $3.20, so for 20400 cubic meters it'll cost,
20400×$3.20
= $65,280
Answered by GAUTHMATH
Prove That
cot 2A + tan 2A cot 2A-tan 2A = sec 4A
Answers
Answer:
*Refer the graph
Step-by-step explanation:
Blue : y= cot 2A + tan 2A cot 2A-tan 2A
domain a ≠ kπ/4
Yellow : y= sec 4A
domain a ≠ π/8 + kπ/4
vertical intercept (0,1)
Find the last digit of the number 41875 * so that it is divisible by 18.
Answers
Answer: 2.
Step-by-step explanation:
if you were to divide 418752 by 18 you would get a clear (without decimal) number, that would equal 23264
3/8 + 1/8 - 1/3 + 1/4 =
Answers
Answer:
0.41666666, to round up, the answer is 0.42
Step-by-step explanation:
[tex] \frac{3}{8} + \frac{1}{8} - \frac{1}{3} + \frac{1}{4} = \frac{4}{8} - \frac{1}{3} = \frac{4}{24} + \frac{1}{4} = \frac{10}{24} = \frac{5}{12} [/tex]
What is the value of the expression shown below?
(3/6) 2 + 7 x 4 -5
A 6 1/4
B 6 1/2
C 23 1/4
D 23 1/2
Answers
Answer:
24
Step-by-step explanation:
(3/6) 2 + 7 × 4 - 5
0.5 × 2 + 7 × 4 - 5
1 + 7 × 4 - 5
1 + 28 - 5
29 - 5
24
What is 1,485÷ 0.09 answer please let me y
Answers
Answer:
16,500
Step-by-step explanation:
Just use a calculator-simple
What do you mean "let me y"?
Answer:
the answer is 16500 or sixteen thousand five hundred
Step-by-step explanation:
:)
Come get your point with me :)
Answers
Answer:
IK≅WY
Step-by-step explanation:
0.4x + 3 = 0.2(3x+1) - x
Solve for x
Answers
Hello!
0.4x + 3 = 0.2(3x + 1) - x
0.4x + 3 = 0.6x + 0.2 - x
0.4x + 3 = -0.4x + 0.2
0.4x + 0.4x = 0,2 - 3
0.8x = -2.8
x = -2.8 : 0.8
x = -7/2
Good luck! :)
I need help in these questions please !
Answers
Answer:
b,b.a
Step-by-step explanation:
A group of friends wants to go to the amusement park. They have $214.25 to spend on parking and admission. Parking is $6.75, and tickets cost $20.75 per person, including tax. Write and solve an equation which can be used to determine pp, the number of people who can go to the amusement park.
Answers
Answer:
10 friends can go to the amusement park
Step-by-step explanation:
214.25 = 6.75 + 20.75x
207.50 = 20.75x
x = 10 friends can go
