Answer:
Either A or C, it's either one. I hoped I helped
The vertex of a parabola is (-1, -8) and the zeros are (-5, 3) Determine the equation of the parabola in standard and factored form
Answer:
Part A
The equation of the parabola in standard form is f(x) = 0.5·x² + x - 7.5
Part B
The equation of the parabola in factored form is f(x) = 0.5·(x + 5)·(x - 3)
Step-by-step explanation:
The coordinates of the vertex of the parabola, (h, k) = (-1, -8)
The zeros of the parabola = -5, 3
Part A
The quadratic equation representing the parabola can be written as follows;
y = a·(x - h)² + k
The standard form of the equation is f(x) = a·x² + b·x + c
k = c - b²/(4·a)
h = -b/(2·a)
c = k + a·h² = -8 + a
From the zeros of the parabola, we have;
f(-5) = a × (-5)² + b×(-5) + c = 25·a - 5·b + c = 0
f(3) = a × (3)² + b×(3) + c = 9·a + 3·b + c = 0
Therefore, we have;
25·a - 5·b + c = 0...(1)
9·a + 3·b + c = 0...(2)
From which we have;
25·a - 5·b + c = 25·a - 5·b - 8 + a = 26·a - 5·b - 8 = 0
9·a + 3·b + c = 9·a + 3·b - 8 + a = 10·a + 3·b - 8 = 0
We then have;
26·a - 5·b = 8...(3)
10·a + 3·b = 8...(4)
Making 'b', the subject of both equations (3) and (4), equating the values, we find the value of 'a' as follows;
From equation (3), we have;
26·a - 5·b = 8
∴ b = (26·a - 8)/5
From equation (4), we have;
10·a + 3·b = 8
∴ b = (8 - 10·a)/3
From b = b, by transitive property, we have;
(26·a - 8)/5 = (8 - 10·a)/3
3 × (26·a - 8) = 5 × (8 - 10·a)
78·a - 24 = 40 - 50·a
∴ 128·a = 64
a = 64/128 = 1/2 = 0.5
a = 0.5
∴ b = (26·a - 8)/5 = (26 × 0.5 - 8)/5 = (13 - 8)/5 = 1
b = 1
c = -8 + a
∴ c = -8 + 0.5 = -7.5
c = -7.5
The equation of the parabola in standard form is therefore presented as follows;
f(x) = 0.5·x² + x - 7.5
Part B
The equation of the parabola in factored form is given as follows;
With the aid of a graphing calculator, we have;
f(x) = 0.5·x² + x - 7.5 = 0.5×(x² + 2·x - 15) = 0.5·(x + 5)·(x - 3)
The equation of the parabola in factored form is f(x) = 0.5·(x + 5)·(x - 3)
Please help me!!!!!!
Answer: 72.5
Step-by-step explanation:
The average of 2 points is the midpoint so if I add 70 and 75 to get 145 and divide by the number of numbers which is 2 I get 72.5
find the hcf of 52 and 117 and express it in the form of 52x + 117y
need this one 3.97x62.4
Answer:
247.728
Step-by-step explanation:
(3.97)(62.4)
=247.728
The person who can come up with a good caption for either photo gets brainliest
Plz don't joke This is for school
Answer:
One hour’s sleep before midnight is worth three after.
Answer: You may laugh or whatever but for that london one
Step-by-step explanation:
A beautiful city of night.
What is the reflection rule that maps the triangle to its image?
P(8,4), Q(-6,5), R(4,5) and P (8,-12), Q'(-6,-13), R'(4,-13)
HELP ME ASAP !!!!!!!*
Answer:
d is correct i think
Step-by-step explanation:
My brain aint working
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
y=46(1.034) x growth or decay
Answer:
growth
Step-by-step explanation:
1.034 < 1 means the number will get larger
Answer:
Step-by-step explanation:
Since the ratio or rate is greater than one this is an exponential growth function
Select the expression that has a value of 23.
6 + (9 x 3) ÷ 3 + 8
(6 + 9) + 3 ÷ 3 + 8
6 + 9 x 3 ÷ (3 + 8)
(6 x 9 x 3) ÷ 3 + 8
The slope is -8. The point
(3, 12) lies on the line. What is the equation for each linear
(m - 8) ÷ 2 in standard form (no links)
Answer:
1/2m - 4
Step-by-step explanation:
Multiply. Write in simplest form. Help pls!! Tell me the answer no decimals needed just a fraction and simplified!! 2 3/5 x 3 7/8
Answer:
10 3/40
Step-by-step explanation: hope i helped
y = -3x + 4
y = 3x - 2
graph
Answer:
Look at the graph bellow
Step-by-step explanation:
use the slope and y-intercept to graph.
In order to become a member of the library all star members club there is a $40 signup fee and a $2 monthly fee
Answer:
do you need an equation? if so it would be 2x+40
Step-by-step explanation:
Select the correct answer.
A machining company needs to manufacture more than 20 fixtures in a day. The company uses five identical machines to make the fixtures. If each machine produces x fixtures, which inequality represents this situation?
A.
5x > 20
B.
5x < 20
C.
5x > 20 + 5
D.
5x < 20 + 5
Answer:
I thinks its D.
Step-by-step explanation:
T m = the number of minutes it will take Beck to finish his homework. Choose the equation that can be used to find the solution to the problem
Answer:
[tex]0.3 m = 12[/tex]
Step-by-step explanation:
See comment for complete question
Given
30% in 12 minutes
Required
Time to complete the homework
From the question: m represents the required minutes
This implies that:
[tex]30\% * m = 12[/tex]
Convert to decimal
[tex]0.30 * m = 12[/tex]
[tex]0.3 m = 12[/tex]
Hence:
The equation is: [tex]0.3 m = 12[/tex]
PLEASE HELP (3^6 y^-5)^2
Answer:
Step-by-step explanation:
A flagpole casts a shadow 15 feet long. Brad is 6 feet tall. If Brad casts a 4.5ft shadow, how tall is the flag pole? (Will mark brainliest!!)
What is the cosine of angle P?
The cosine is the ratio of the base and hypotenuse. Then the value of the cosine of angle P will be q / r.
What is trigonometry?The connection between the lengths and angles of a triangular shape is the subject of trigonometry.
The right-angle triangle PRQ is given in which angle R is a right angle.
Then the value of the cosine of angle P will be
The cosine is the ratio of the base and hypotenuse.
Then we have
cos P = q / r
More about the trigonometry link is given below.
https://brainly.com/question/22698523
#SPJ2
Camden is going to invest $600 and leave it in an account for 12 years. Assuming the interest is compounded continuously, what interest rate, to the nearest hundredth of a percent, would be required in order for Camden to end up with $920?
Answer:
320 i think lol
Step-by-step explanation:
Answer:
3.56
Step-by-step explanation:
1) Identify the percent of change as an increase or a decrease and find the percent of change. 50 meals to 75 meals.
Answer:
increase of 50%
Step-by-step explanation:
its increasing cuz 75 is more than 50 and its 50% cuz 75-50 is 25 so you know it increased by 25 meals so you need to find what percent 25 is of 50 and 25 is 50% of 50
Answer:
50%
Step-by-step explanation:
half of 50 is the same as 50% of 50
so...
25 = 50% of 50
therefore...
50 + 25 is the same as 50 + 50%
hope this helps
The school cafeteria sells two kinds of wraps: vegetarian and chicken. The vegetarian wrap costs $1.00 andthe chicken wrap costs $3.10. Today they made $268.30 from the 136 wraps sold. How many of the wraps
sold were vegetarian?
a. 57 wraps
c. 63 wraps
d. 75 wraps
b. 73 wraps
Answer:
I think it is 73
Step-by-step explanation:
Because i tryed all of the other numbers and they didnt work
HOPE THIS HELP !!!!!!!!!!!!!!!! :)
Write the inequality to represent the graph.
Answer:
x > -1
Step-by-step explanation:
Open circle so the sign is not inclusive. The point is at -1 and goes to the right so it is more than.
I NEED THIS ANSWERED QUICKKKK
Answer:
2/4=4/8
Step-by-step explanation:
you do 2×2=4 and 4×2=8. You multiply both denominators by 2.
pls help will give brainliest
Answer:
Step-by-step explanation:
-6(3) + 2(2) =-14x=3
y=2
-2(7) - 2(2) = -10x=7
y=2
The answer is A
You’re welcome
Answer:
so you answered your own question?
54-1/7 y i = 9x -4 help
Let's solve for i.
54−(
1
7
y)(i)=9x−4
Step 1: Add -54 to both sides.
−1
7
iy+54+−54=9x−4+−54
−1
7
iy=9x−58
Step 2: Divide both sides by (-y)/7.
−1
7
iy−y7=
9x−58−y7i=
−63x+405y
Answer:i=
−63x+406y
A = {multiples of 3 between 20 and 32} B = {odd numbers between 20 and 32} C = {even numbers between 20 and 32} list the members of A - B list the members of A - C
Step-by-step explanation:
We have to list the elements present in each set.
A = {multiples of 3 between 20 and 32}
A = {21, 24, 27, 30}
B = {odd numbers between 20 and 32}
B = {21, 23, 25, 27, 29}
C = {even numbers between 20 and 32}
C = {20, 22, 24, 26, 28, 30, 32}
a) list the members of A ∪ B
This means to select the elements of sets A and B
A ∪ B = {21, 23, 24, 25, 27, 29, 30}
b) list the members of A ∩ C
This means to only pick the elements that are present in both A and B
A ∩ C = {24, 30}
Find the missing angles?
Answer:
100°
Step-by-step explanation:
Since x and the 100 degree angle which is highlighted in blue are vertical to each other, they are parallel to each other as it is vertically opposite angles.
If they are parallel, it means
Angle highlighted in blue = 100°
x = 100°