Consider the equation of parabola y = 5x - 30x + 45.
Its vertex is located at
( , )
Answer:
(3, 0 )
Step-by-step explanation:
Given a parabola in standard form
y = ax² + bx + c (a ≠ 0 )
Then the x- coordinate of the vertex is
[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]
y = 5x² - 30x + 45 ← is in standard form
with a = 5, b = - 30 , then
[tex]x_{vertex}[/tex] = - [tex]\frac{-30}{10}[/tex] = 3
Substitute x = 3 into the function for corresponding value of y
y = 5(3)² - 30(3) + 45 = 45 - 90 + 45 = 0
vertex = (3, 0 )
Answer:
Vertex is (3,0)
Step-by-step explanation:
Given y= 5x^2 - 30x + 45
y = 5 ( x^2 - 6x + 9)
= 5 ( x -3 )^ 2 + 0
Standard formula of parabola is y = a(x - k)^2 + k where vertex is (h,k)
Here, h = 3 and k = 0
So, Vertex is ( 3, 0)
27 MP3s is what percent of 238 MP3s
Answer:
27/238 = n/100
Step-by-step explanation:
A digital board game has 25 squares with 5 squares of each color. The results of 625 games are shown below. Color Frequency Green 119 Orange 130 Pink 126 Violet 114 Yellow 136 For which color is the experimental probability closest to the theoretical probability?
HELP ASAP PLEASEEEEE
Answer:pink
Step-by-step explanation:
The width of a rectangle is 1/2 its length. The perimeter of the rectangle is 300ft. What is the length in feet of the rectangle
Answer:It's simple. All you need to do is subtract 2 from 40.
Step-by-step explanation: Length: 40 ft
Width: 38 ft
Hopefully that helped!
what are the measures of angle B and D
Answer:
n=10
Step-by-step explanation:
What is 1/2 in degrees
Answer:
180
Step-by-step explanation:
half of 360 is 180
Bob flipped a coin and got "heads" 9 times in a row! What is the probability that the next flip will be a "head?"
Answer:
50/50 chance
Step-by-step explanation:
Which of the following functions best represents the graph?
f(x) = (x − 2)(x + 1)(x + 2)
f(x) = (x − 1)(x + 1)(x − 4)
f(x) = (x + 2)(x − 1)(x − 2)
f(x) = (x + 1)(x − 1)(x + 4)
Answer:
f(x)=(x-2)(x+2)(x-4)
Linear relation questions(someone please help I will give brainliest please)
Answer:
See belowStep-by-step explanation:
#1Points given:
(4, -6), (-1, 4)Find the slope using slope formula:
m = (y₂ - y₁)/(x₂ - x₁) = (4 - (-6))/(-1 - 4) = 10/-5 = -2#2Equation of the line in slope-intercept form:
y = mx + bGiven:
slope, m = -3the y- intercept b = 11The line is:
y = -3x + 11#3The y-intercept is the intersection of the line with the y-axis:
b = -1 as per graphTo find the slope select two points and use the slope formula as shown above.
Points (0, -1) and (1, 1), the slope is:
m = (1 - (-1))/(1 - 0) = 2/1 = 2The line is:
y = 2x - 1Solve the equation 2.2x=3
Answer : The answer is 15/11 but you can simply this fraction which makes it to a decimal which would be 1.36 ( 36 is repeating )
Please help me. I am pretty confused on this
Answer:
C
Step-by-step explanation:
16's square root is 4
The designer sketched a model of the pond. The model drawing had a circumference of 10 inches. What is the Area of the model she drew? Round your answer to the nearest tenth.
Please answer this fill it to least to greatest
Answer:
7, 7 1/8, 7 3/8, 7 5/8, 7 3/4, 8, 8 1/4, 8 1/2, 8 7/8
Step-by-step explain:
7 is the smallest number in the given numbers. 7 1/8 is the second smallest because 1/8 is smaller than 1/4. You can also think of it like you have a pizza/pie/cake and 1/8 of that cake is 1 piece of the cake that has 8 pieces in total. 1/4 on the other hand is a bigger piece. You can use this information to figure out future problems. 1/4 is the same as 2/8. In other words, 1/4 is equal to 2 slices of pie/cake/pizza/whatever you want it to be because if you take a cake, cut it into 4 pieces, then cut the 4 pieces in half. You will get 8 pieces.
*EXTRA POINTS* please answer #5 and #6
Answer:
5, (0, -2)
6, (4, 9)
Step-by-step explanation:
Which expression is equivalent to 2(3g - 4) - (8g + 3)
Answer:
4
Step-by-step explanation:
Hope this helps! : )
2(3g - 4) - (8g + 3)
Distributive property
6g - 8 - 8g - 3
Combine like terms
-2g - 11
Answer:
4
Step-by-step explanation:
2(3g-4)-(8g+3)
6g-8-8g-3
-2g-11
5. Write and solve an algebraic equation.
Aaron and two friends went to the movies and spent a
total of $33. The group bought a box of popcorn to
share that cost $ 6. What was the cost of each movie
ticket?
Answer:
6 + (t x 2) = 33
T = Ticket Cost
6 - 6 + (t x 2) = 33 - 6
t x 2 = 27
t x 2/2 = 27/2
t = 13.5
Each ticket cost 13.50$
what two numbers multiply to 15 and add to -8?
Answer:
-3 and -5
Step-by-step explanation:
because two negatives equal a positive
idek if this is correct
sorry if its not
What is the correct factorization of
5(x + 2) – 3x(x + 2)?
find the mean and median of the data set 23,25,38,42,54,57,65
Answer:
Mean: 43.43
Median: 42
Step-by-step explanation:
I need help with this?
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Explanation:
To get the LCM (lowest common multiple) of 8 and 10, we can multiply the two values together to get 8*10 = 80, then we divide by the GCF (greatest common factor) which is 2 to get to the LCM of 80/2 = 40.
While 80 is a common multiple of 8 and 10, it is not the smallest such value. That would be 40. So that's why we divided by 2.
Another route we can take is to list out the multiples of 8 and 10 like so
multiples of 8 = {8, 16, 24, 32, 40, 48, 56, 64, 72, 80, ...}multiples of 10 = {10, 20, 30, 40, 50, 60, 70, 80, ...}as shown in bold above, the value 40 is in both lists and it is the smallest such common item.
So this tells us that the last two digits are 4 and 0 in that order.
--------------
The GCF of 30 and 75 is 15 since we can say
30 = 15*2
75 = 15*5
Note how the 2 and 5 have no other factors in common, other than 1. This helps us see how 15 is the largest shared factor. So the first two digits are 1 and 5 in that order.
Overall, the four digit code is 1540.
Factor out the Greatest Common Factor (GCF): 36y - 16 ?
Answer: 4(9y-4)
Step-by-step explanation:
36y - 16
4 x 9 is 36
4(9 is just like 36y.
Plot the graph for the equation2y+6=0 , and then select the matching graph below.
Answer:
y = -3
Step-by-step explanation:
2y + 6 = 0
2y = -6
y = -3
Since it's just y = -3, there is NO SLOPE and it's just one straight line going horizontally.
So just pick the graph where it's a horizontal line that only goes through the y-axises of -3 (i.e (0, -3), (1, -3), and etc)
Think About the Process Use the algebra tiles to help you solve the equation 4x - 8 = 20. What is the first step in solving the equation using algebra tiles? What is the solution to the equation?
Answer:
The first step would be canceling out the eight getting you 4x = 28 and the solution would be x = 7
Step-by-step explanation:
To simplify you need to add the eight to itself to cancel it out but you have to do it to the 20 too making it 28. Then you have to divide 28 by 4 getting you 7.
7.8x = 32.76
Show your work
Answer:
x=4.2
Step-by-step explanation:
7.8x = 32.76
/7.8 /7.8
x=4.2
21. Line p passes through Point (-4,1) and has a slope of 5 What is the equation of Line p in standard form?
A)2x - 5y = 22
B)2x - 5y = - 13
C)5x - 2y = 13
D) 5x - 2y = -22
Answer:
Step-by-step explanation:
Point( -4 , 1) ; slope = m = 5
Point-slope form:
y - y1 = m(x -x1)
y - 1 = 5(x - [-4])
y - 1 = 5(x + 4)
y - 1 = 5x + 5*4
y - 1 = 5x + 20
y = 5x + 20 + 1
y= 5x + 21
please help me and the answer is not the first one
5
Which of those points does not lie on the line y = 3x + 5*
(1 Point)
O (1,8)
O (4, 17)
O (-2, 11)
0 (0,5)
Answer:
point (-2,11) does not lie on the given line
Step-by-step explanation:
To find : Which of the following points does not lie on the line ?
Solution :
To determine the point lie on line or not we have to put points in equation if it satisfy then it lie otherwise not.
a) Point (1,8)
Line y=3x+5
Substitute x=1 and y=8
8=3(1)+5
8=8
(1,8) point lie on the line.
b) Point (4,12)
Line y=3x+5
Substitute x=4 and y=17,
17=3(4)+5
17=12+5
17=17
(4,17) point does not lie on the line.
c) point (-2,11)
Line y=3x+5
substitute x=-2 and y=11
11=3(-2)+5
11=-6+5
11 is not equal to -1
d) Point(0.5)
Line y=3x+5
Substitute x=0 and y=5
5=3(0)+5
5=5
Please help.
Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
Please help me? I am confused.
Answer:
5
Step-by-step explanation:
Take the cubed root of 125. In other words what number is multiplied by itself three times to get 125.
5x5x5= 125
Answer:
Step-by-step explanation:
Find solutions on the web
Factor using difference of cubes and set each factor equal to
y=5,
Patrica has a bank balance of -$54 . if she deposit $100 what is her new Balance
Answer:
56 (positive, not negative)
Step-by-step explanation:
she will pay off the debt from the original amount she owed using part of the $100. With the debt being payed off , the remainder will be $56.
in other words ;
100+54= 56.
Henceforth , the number 56.
thank you!