Answer:
a. Standard form
b. Vertex form
c. Vertex form
d. Standard form
Step-by-step explanation:
The vertex form of a quadratic equation is y = a·(x - h)² + k
The standard form of a quadratic equation is y = a·x² + b·x + c
Therefore;
a. In order to factor the equation, the vertex form needs to be expanded to the standard form first, to obtain the factors of the equation
b. The parabola is easily graphed with the information on the vertex given in the vertex form of the quadratic equation
c. The vertex, minimum or maximum of the parabola are easily obtained in the vertex form of the quadratic equation
d. The quadratic formula is defined based on the standard form of the quadratic equation
The forms of a quadratic equation are the ways the equation can be written.
The tasks and the required forms are:
Factor the equation - Standard formGraph the parabola - Vertex formIdentify the vertex, minimum or maximum - Vertex formQuadratic formula - Standard formThe standard form of a quadratic equation is:
[tex]\mathbf{y =ax^2 + bx + c}[/tex]
The above form can be used to calculate the roots of a quadratic equation, using the following quadratic formula
[tex]\mathbf{x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}}[/tex]
Also, a quadratic equation can be easily factorized from [tex]\mathbf{y =ax^2 + bx + c}[/tex]
This means that, the standard form can be used for (a) and (d)
The vertex form of a quadratic equation is:
[tex]\mathbf{y = a(x - h)^2 + k}[/tex]
The above form is used to
Identify the vertexIdentify the maximum and the minimum points of a parabolaThis means that, the vertex form can be used for (b) and (c)
Read more about quadratic equations at:
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What is the constant of proportionality?
NEED ASAP PLS
Answer:
1.25
Step-by-step explanation:
Constant of proportionality k = y/x
k = 7.5/6 = 1.25
k = 10/8 = 1.25
k = 12.5/10 = 1.25
what is 4 - 1 1/5 ?
Given the set of all even integers between and including -18 to -6,
what is the probability of choosing a multiple of -6 from this set?
Answer:
3/7
Step-by-step explanation:
Given set is {-18,-16,-14,-12,-10,-8,-6}
Probability = Number of favorable outcome / Number of possible outcomes
Favorable outcomes ={ -18, -12, -6}
probability of choosing a multiple of -6 = 3/7
A seamstress sews 40 witch hats in 4 hours. What is the unit rate?
Answer:
10 hats per hour
Step-by-step explanation:
40/4 = 10
i need help with this question
Is there a turning point for the graph?
Explain
Julio walks 3.5 miles in 1.25 hours. How many miles does he walk per mile?
Answer:
3 1/2 ÷ 1 1/4
7/2 ÷ 5/4
7/2 · 4/5
28/10
2.8
Julio walks 2.8 miles in one hour.
Step-by-step explanation:
Answer:
2.8miles/hr
Step-by-step explanation:
Given parameters:
Distance walked = 3.5miles
Time taken = 1.25hrs
Unknown:
Number of miles walked per mile = ?
Solution:
The miles walked per hour is defined as the speed.
Speed is the distance divided by time;
Speed = [tex]\frac{Distance}{time taken}[/tex]
Insert parameters and solve;
Speed = [tex]\frac{3.5}{1.25}[/tex] = 2.8miles/hr
Which expression is equivalent to the given polynomial expression?
13p – 3p(1 – 2m) – m(2m – 5p) – m2
Answer:-3m^2+11mp+10p
Step-by-step explanation:
The equivalent expression is:
-3m² + 11mp + 10p
Hence the correct option is 2.
Given is polynomial expression 13p – 3p(1 – 2m) – m(2m – 5p) – m², we need to find an equivalent expression to it,
To simplify the given polynomial expression, let's expand and combine like terms:
13p - 3p(1 - 2m) - m(2m - 5p) - m²
Expanding the expressions inside parentheses:
13p - 3p + 6mp - 2m² + 5mp - m²
Combining like terms:
10p + 11mp - 3m²
Rearranging the terms:
-3m² + 11mp + 10p
Therefore, the equivalent expression is:
-3m² + 11mp + 10p
Hence the correct option is 2.
Learn more about equivalent expression click;
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May bought groceries for $20.00 and four board games. Mai paid $108.00 for the entire purchase. How much did Mai pay for one board game?
A. $44.00
B. $22.00
C. $20.00
D. $108.00
Answer:
She paid it for 22 dollars.
Step-by-step explanation:
First, let's subtract 20 from 108 since we know Mai bought this in total.
108 - 20 = 88
Then, let's divide by 4 because we know there are 4 board games in total.
88/4 = 22.
This means that she paid 22 dollars for it. I hope this helps, I hope it's not wrong, but I don't think it is.
What is the answer for my geometry problem?
Answer:
2x
Step-by-step explanation:
Lines PR are equal to PQ
4/7 • 1/8 write the answer in lowest terms:
Answer:
1/14Step-by-step explanation:
This is the answer in decimal form
0.0714285714286
This is the answer in fractional form
1/14 ( Simplified )
Hope this helps! <3
At an amusement park, 40 percent of the tickets were sold in the first hour. If 800 tickets were sold in the first hour, which equation can be used to find the total number of tickets sold for the entire day?
Answer:
800 / 0.40 = 2000
Step-by-step explanation:
Answer:
2000
Step-by-step explanation:
i did the test :)
33 pieces of candy were split among friends. if each person receive 2 pieces and there were 7 left over how many people received a piece of candy
Answer:
2
Step-by-step explanation:
count by 2ś
Answer:
Step-by-step explanation:
count by 2
Write an equation of the parabola with focus
( -4/5,0) and vertex (0,0)
Answer:
[tex]y^2=-\frac{16}5x[/tex]
Step-by-step explanation:
focus: (-4/5, 0) means the distance from the origin to the focus: a=4/5
y² = -4ax
y² = -4(4/5)x
y² = -(16/5)x
How much higher is -200 m then 450 m
Answer:
It is -650 higher and 650 lower than 450
Step-by-step explanation:
It is -650 higher and 650 lower than 450.
If my answer helped:
Pls consider marking my answer as Brainliest! It would mean a lot!
The National park service is building a 16-mile trail. They will post a sign every 1/8 mile along the trail, including one at the end. There will not be a sign posted at the beginning of the trail. How many signs will they post along the trail? Please can you show me how you got your answer please.
Answer:
128 signs will be posted along the trail
Step-by-step explanation:
From the question,
The national park service is building a 16-mile trail and they will post a sign every 1/8 mile along the trail. To determine how many signs will be posted along the trail, we will divide the length of the trail by the distance in which one sign is to be posted from another.
The length of the trail = 16 mile
The distance in which one sign is to be posted from another = 1/8 mile
Hence,
Number of signs that will be posted along the trail = 16 mile ÷ 1/8 mile
= 16 × 8/1 = 128
Number of signs that will be posted along the trail = 128
This includes the sign that will be posted at the end of the trail.
Since there will not be a sign posted at the beginning of the trail, then
128 signs will be posted along the trail.
Heeeeeelp
Please people
I need help asap
Answer:
I dont like you!
Step-by-step explanation:
Add or Subtract to Simplify:
(4x2+ x) - (x2+ 2x)
Answer:
9x-4x exponent 2
Step-by-step explanation:
8x+x-4x ex2
9x-4x ex2
what is the sum of the interior angles of a polygon
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Suppose the number of sides are n .
We have following equation to find the sum of the interior angles.
[tex](n - 2) \times 180[/tex]
For Example we want to know what sum of the interior angles of triangle equals ?
Triangle has three sides thus ;
[tex]n = 3[/tex]
[tex](3 - 2) \times 180 = 1 \times 180 = 180 \\ [/tex]
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Verizon Plan A…..$40 plus $12 per gigabyte
Verizon Plan B…..$30 plus $14 per gigabyte
When would the cost of the two plans be the same?
equation
Answer:
when there are 5 gigabytes
Step-by-step explanation:
40+12x=30+14x
10+12x=14x
10=2x
x=5
What does x equal in the following examples?
4x+6. And. 2x+4
Answer:
-2
Step-by-step explanation:
hope -2 is equal for x in both expression
Use the work shown. Which expression is equivalent to Negative two-thirds y minus three-fifths x + StartFraction 2 over 9 EndFraction minus four-fifths x + one-third y? y minus four-fifths x + StartFraction 2 over 9 EndFraction minus two-thirds y minus one-fifth x Negative y minus four-fifths x + StartFraction 2 over 9 EndFraction + two-thirds y + three-fifths x One-third y minus StartFraction 7 over 5 EndFraction x + two-thirds minus two-thirds y minus StartFraction 4 over 9 EndFraction Two-thirds y minus StartFraction 7 over 5 EndFraction x + StartFraction 2 over 9 EndFraction + y
Answer:
the answer is C: One-third y minus StartFraction 7 over 5 EndFraction x + two-thirds minus two-thirds y minus StartFraction 4 over 9 EndFraction
Step-by-step explanation:
hope it helps
Answer:
c
Step-by-step explanation:
did the unit test
HELPPPPPPP due soon plzzzzzzz
You have recently signed up for a new job and noticed this policy for retirement savings. Invest $200 and the employer does 70% matching for 35 years at an interest rate of 4.8%.
This question is incomplete
Complete Question
You have recently signed up for a new job and noticed this policy for retirement savings. Invest $200 and the employer does 70% matching for 35 years at an interest rate of 4.8%.
Find the total amount that the employer contributes each month.
Answer:
$349
Step-by-step explanation:
Your Investment per month = $200
Your Employer's contribution per month = 70%
Your Employer's contribution = $200 × 70%
= $140
Therefore, the total amount that the employer contributes each month is $140
Twice the difference of a number and 8.
twice the difference of the number and 8 is equal to three times the sum of the number and 3. find the number. 2(x-8)=3x+3 2x-16=3x+3 2x-16-2=3x+3-2 2x+14=3x+1 16/2=4/2 8/2. twice the difference of the number and 8 is equal to three times the sum of the number and 3.
Answer:
Twice the difference of the number and 8 is equal to three times the sum of the number and 3.
Step-by-step explanation:
2(x-8)=3x+3 2x-16=3x+3 2x-16-2=3x+3-2 2x+14=3x+1 16/2=4/2 8/2. Question 229672: twice the difference of the number and 8 is equal to three times the sum of the number and 3.
Hope this helped! <3
Find the measure of B
The steps I look find the measure of B are:
First,added___________.Then,I_______________
Miyah works for ice cream cart vendor. she receives $25 for taking the car out for a shift plus a commission of $0.10 for each Item she sells.miyah worked a shift Saturday and earned $52.90. which equation can be used to solve for x, the numbers of items miyah sold ?
Answer: 52.90 = 0.10x + 25
Step-by-step explanation:
EASY 50 POINTS! (forgot last question) Which figures demonstrate a single rotation?
Brainliest if you answer thank you
bottem left and maybe top right.
if it means a single 90 degree rotation then its only bottem left but it doesn't specify so it could also be a single 180 degree rotation for top right
Select the correct answer.
For what values of n is the perimeter of square A less than the perimeter of rectangle B?
A.
B.
C.
D.
Divide 8m 40cm by 5 (Answer in
centimeters) (A) 1m 68cm (B) 168cm
(C) 1680cm (D) 168m (E) 16800cm [ ]
show work
Step-by-step explanation:
8 m 40 cm
1 m = 100 cm
Then,
8 m = 8 × 100
= 800 cm
800 + 40 = 840 cm
Now,
It's divided by 5
Then,
840/5
= 168
Therefore,
Option B is correct ✔.