Answer:
[tex]y=-3(x-5)^2+4[/tex]
Step-by-step explanation:
Hi there!
Given the vertex of a parabola and a point, it's easiest to organize the equation in vertex form:
[tex]y=a(x-h)^2+k[/tex] where the vertex is located at [tex](h,k)[/tex] and a is a numerical value
1) Plug the vertex into the equation
[tex]y=a(x-h)^2+k[/tex]
Plug in the vertex (5,4)
[tex]y=a(x-5)^2+4[/tex]
2) Solve for a
[tex]y=a(x-5)^2+4[/tex]
Plug in the given point (3,-8) and solve for a
[tex]-8=a(3-5)^2+4\\-8=a(-2)^2+4\\-8=4a+4[/tex]
Subtract 4 from both sides
[tex]-8-4=4a+4-4\\-12=4a[/tex]
Divide both sides by 4
[tex]\frac{-12}{4} = \frac{4a}{4} \\-3=a[/tex]
Therefore, a=-3. Plug this back into [tex]y=a(x-5)^2+4[/tex]:
[tex]y=-3(x-5)^2+4[/tex]
I hope this helps!
Maria tutors history. For each hour that she tutors, she earns 20 dollars. Her earnings, E (in dollars), after tutoring for h hours is given by the following.
E=20h
How much does Maria earn if she tutors for 5 hours?
Answer:
Maria earns 100 dollars
E=100
Step-by-step explanation:
if E=20h and they want to know how much Maria will make in 5 hours substitute the h for 5. 20 x 5 =100
E=100
Answer:
100
Step-by-step explanation:
The equation is E=20h
E is the amount she earns.
20 is the amount of money she earns per hour.
h is the amount of hours she worked.
She worked 5 hours. h represents hours so plug in 5 where h is in the equation.
E=20h
E=20(5)
E= 20×5
E=100
Please help will give branliest
Answer:
ok
8^7*512/262144=4096
8^4=4096
?=4
Your Welcome
BIFFY OUT!!!
a pack of ice cream bars costs $5.11. What is the unit price?
Answer:
how much is in each pack?
Step-by-step explanation:
A box contains 6 black marbles and 4 white marbles. What is the probability of selecting a black marble at random from the box?
Answer:
3/5
Step-by-step explanation:
6 black marbles and 4 white marbles.= 10 marbles
P( black marble) = number of black marbles / total marbles
=6/10 = 3/5
Answer:
6/4 or 1 1/2
Step-by-step explanation:
because there is 6 black marbles and 4 white marbles
Area of prallelogram
Answer:
7) 96
8) 84
9) 72
Step-by-step explanation:
A = bh
7)
b = 12, h = 8
A = 12*8 = 96
8)
b = 12, h = 7
9)
b = 8, h = 9
Given the following terms of a geometric sequence: a1=7, a11=7340032 ; Determine r and a8
Answer:
r = 4
a8 = 114,688
Step-by-step explanation:
a1=7
a11 = 7340032
a11 = a1*r^10
7340032 = 7 * r^10
7340032 = 7r^10
r^10 = 7340032/7
r^10 = 1,048,576
Find the 10th root of both sides
10√r^10 = 10√1,048,576
r = 4
a8 = a1 * r^7
= 7 * 4^7
= 7 * 16,384
= 114,688
a8 = 114,688
which equations results from adding the equations in this system?
x+6y=9
-x+2y=-15
Answer:
8y = -6
Step-by-step explanation:
Simply add the equations as you would numbers.
The 'x's cancel each other out. The 'y's add together as normal numbers.
9 + (-15) = -6
Hope that this helps!
Test question........................
You Have Passed Thy Test!!! BADAAAA (\•o•/)
if f(x) = 3x+2 what is f(5)?
Answer:
just put 5 on the place of x
Step-by-step explanation:
3(5)+2
15+2
17
hope it helps
Answer:
lets say f equals 1
x-2 = 3x
-2 = 2x
x=-1
1(-1)
-1
Can some please help I don’t really know.
Answer: 1%
Step-by-step explanation:
Find the length of each arc
Answer:
27 pi/4 or 6 3/4 pi
Step-by-step explanation:
First find the circumference
C = 2*pi*r
C = 2 * pi *9
C = 18 pi
The find the fraction of the arc
A circle is 360 degree
135/360 =3/8
Multiply the circumference by the fraction
18 pi * 3/8 =
27 pi/4
6 3/4 pi
Solve the system of equations. y=23x–19 x2–y= – 6x–23 Write the coordinates as integers, simplified proper or improper fractions, or simplified radical expressions.
Answer:
(3, 50) and (14,303)
Step-by-step explanation:
Given the system of equations;
y=23x–19 ....1
x²–y= – 6x–23 ...2
Substitute 1 into 2;
x²–(23x-19)= – 6x–23
x²–23x+19= – 6x–23 .
x²-23x + 6x + 19 + 23 = 0
x² - 17x + 42 = 0
Factorize;
x² - 14x - 3x + 42 = 0
x(x-14)-3(x-14) = 0
(x-3)(x-14) = 0
x = 3 and 14
If x = 3
y = 23(3) - 19
y = 69-19
y = 50
If x = 14
y = 23(14) - 19
y = 322-19
y = 303
Hence the coordinate solutions are (3, 50) and (14,303)
Ahmed needs to fill a fish tank with water. He uses three cups of water to fill 1/4 of the tank. How many cups of water will he need to completely fill the tank.
-1
-3
-4
-12
===========================
Work Shown:
3 cups = 1/4 tank
4*(3 cups) = 4*(1/4 tank)
12 cups = 1 tank
On a coordinate plane, point B is at (1, negative 1). Point B has coordinate B(1, –1). What is the coordinate of B' under a scale factor of 3? (1, –1) (3, –3) (–2, 2) (–6, 6)
Answer:
(3,-3)
Step-by-step explanation:
If a coordinate (x, y) is dilated by a factor k, the resulting coordinate will be (kx, ky)
Given the coordinate (1, -1), if dilated by a factor of 3, the resulting coordinate will be (3(1), 3(-1)) = (3, -3)
Hence the required coordinate will be (3,-3)
Answer:
b 3 -3
Step-by-step explanation:
have a good day
!!!!someone help please??????
Answer:
The image you provided doesnt work
Step-by-step explanation:
Answer:
The answer is 8, take away 8.25 from 210 and then divide it by 23
Alternate angles add up to 180 degrees.
Is it true or false?
Please give real answers with an explaination. 80 points + I will give brainliest + 5-star rated. No Docs/No Files/No Links only answer with explaination.
Answer this for me thanks
Answer:
The value of x is 15 inch.
Step-by-step explanation:
Area, A = 81 square inch
Perimeter, P = 48 inch
let the side is y.
[tex]y^2 = 81\\\\y = 9 inch[/tex]
Let the other side is d.
P = 4 d = 48
d = 12 inch
the length x is given by
[tex]x^2 = 9^2 + 12^2\\\\x^2 =81 + 144 = 225\\\\x = 15 inch[/tex]
So, x = 15 inch.
What would be the volume of the pyramid? Little help please
Answer:
36
Step-by-step explanation:
The answer is 36, I did the work
Find the area of this figure round your answer to the nearest hundredth. Use 3.14 to approximate
Answer:
Ok from what your saying i would say your talking about a circle the formula to find the area of a circle is PiR^2
so the radius times radius times 3.14
( 17 points)Help!!!
These tables of values represent continuous functions. For which function will the y-values be the greatest for very large values of x?
PlzzPlease help me bunnies <3
No monkey business plz. Or I will report
It's C.
The value is increasing threefold relative to the previous step.
all other function values increase by a fixed amount and are therefore linear
Train A leaves Paris and travels at a constant speed of 75 mph toward Pisa. At the
same time. Train B leaves Pisa headed toward Paris at a constant speed of 50
mph. Let x represent time traveled in hours and let y represent miles from Paris. If
Paris and Pisa are 500 miles apart, when will the two trains pass each other?
Answer: [tex]4.016\ hr[/tex]
Step-by-step explanation:
Given
Train A has speed of [tex]v_a=75\ mph[/tex]
Train B has speed of [tex]v_b=50\ mph[/tex]
If Paris and Pisa is 500 miles apart
If they meet x hours after the start
The sum of the distances traveled by Train A and B is 500 miles
[tex]\Rightarrow 75\times x+50\times x=500\\\Rightarrow 125x=500\\\Rightarrow x=4.016\ hr[/tex]
So, after [tex]4.016\ hr[/tex] they will pass each other.
72. Linear Speed. A wheel with a 30-cm radius is rotat- ing at a rate of 3 radians / sec. What is the linear speed of a point on its rim, in meters per minute?
========================================================
Explanation:
Let's find the circumference
C = 2*pi*r
C = 2*pi*30
C = 60pi
This is the exact circumference in terms of pi.
In one revolution, the point on the wheel moves forward exactly 60pi cm.
In a sense, it's "speed" is 60pi cm per revolution.
----------------
Let's convert that speed to meters per minute as shown in the diagram below (I'm using the railroad tracks method to convert).
Note the color coding to see how the units cancel. The goal is to get meters on top and minutes down below. Also note how the "pi" terms cancel since we have on top and one down below.
After the canceled stuff goes away, we multiply straight across.
Multiplying the values across the top gives: 60*3*1*60*1 = 10800Multiplying across the bottom gives: 1*1*2*1*100 = 200Divide the results: 10800/200 = 54
The linear speed is 54 meters per minute
This speed is exact because the 60pi figure is the exact circumference
This is the speed the point on the wheel moves, and we can say that the car itself also moves at a linear speed of 54 meters per minute.
Side note: 54 meters per minute = 2.013 mph approximately, which is a fairly slow walking speed.
Find the optimized volume of a rectangular prism with a surface area of 864 m^2
More help with cylinder math?
Answer:
[tex]V=706.5[/tex] [tex]ft^3[/tex]
Step-by-step explanation:
Since it's saying, "how much water does your neighbor need to completely fill his pool", it's asking for us to find the volume of the pool because the volume is the amount of space inside the pool which will be filled with water.
The volume formula for a cylinder: [tex]V=\pi r^2h[/tex]
In the text, since they gave the diameter and not the radius, we need to find the radius by dividing the diameter by two: [tex]\frac{15}{2}=7.5[/tex]
Now, we can start solving.
[tex]V=(3.14)(7.5^2)(4)[/tex]
[tex]V=(3.14)(56.25)(4)[/tex]
[tex]V=(3.14)(225)[/tex]
[tex]V=706.5[/tex]
Hope this helps
The student enrollment of South High School was 1,350 students in 1995 and increased by15% per year until 2010. Approximately how many students were enrolled at South HighSchool in 2010?
Answer:
81
Step-by-step explanation:
1350 ×15 % by 100 = 81. 15 year = 1,215
4^2-2 X 3 + 6 = ?
SOLVE with PEMDAS
my son has had problems with algebra and tbh I don't know how to do it either i was hoping someone on here can help!
4^2 -2×3+6=16 is your answer
Answer:
Step-by-step explanation:
P means parenthesis, of which we have none. So we move to E, which is exponents, which we do have. So we start there:
[tex]4^2-2*3+6[/tex] becomes
16 - 2 * 3 + 6. Now we have to do multiplication/division in the order we come to it in the problem. That means multiplying 2*4 first:
16 - 6 + 6. Now we do addition/subtraction in the order we come to it in the problem:
16- 6 + 6 = 10 + 6 = 16
Which choice is equivalent to 4 square root 3?
A. 12
B. 748
C. V12
D. 6
The probability of winning a game is 0.37, and a tie is not possible. The probability of losing the game is
A. 0.37
B. 0.50
C. 0.63
D. unable to be determined
Help me plssss
Answer:
C
Step-by-step explanation:
Because there are only two outcomes (winning or losing) this means that
P(winning)+P(losing)=1
if we knowing that P(winning)=.37 we can write
.37+P(losing)=1
1-.37=P(losing)
.63=P(losing)
Find the geometric mean of 16 and 36. Write your answer in the simplest form.
Any obvious wrong answers will be reported.
Answer:
Step-by-step explanation:
Find the geometric mean of 16 and 36. Write your answer in the simplest form.
Any obvious wrong answers will be reported.
769 ÷ 30 in standard algorithm
plz i need asap
Answer:
it equal 25 and the remainder is 19. :)
Answer:
Step-by-step explanation:
exact form
769/30
decimal form
25.63
mixed number formed
25 19/30