y = a(x - h)² + k is the vertex form of an equation of a parabola with vertex (h,k)
We get the coordinates of the vertex of parabola from that form: (h, k)
We also know if the parabola goes up or down: a>0 or a<0
We can tell how many roots has the equation:
(a>0 and q>0) or (a<0 and q<0) ⇒ no roots
a≠0 and q=0 ⇒ one root: x₀=p
(a>0 and q<0) or (a<0 and q>0) ⇒ two roots
We can also determine the roots (if they exist):
a(x - h)² + k = 0
a(x - h)² = - k
(x - h)² = - k/a
x - h = √[-k/a] ∨ x - h = - √[-k/a]
x = √[-k/a] + h ∨ x = - √[-k/a] + h
Usually you use this form to find the equation of parabola when you have got given the vertex and some other point from that parabola.
(1 point) .
What is the equation, in standard form, of a parabola that models the values in the table?
х -2 0 4
f(x) 0 -6 78
a.) y= 6x² + 5x - 4
b.) y=-4x2–5x + 6
c.) y=5x2 + 4x = 6
d.) y=4x² + 5x- 6
please helpppp
Answer:
Correct answer D. y = 4x2 + 5x – 6
Step-by-step explanation:
just took the test
What is 1 + 1? I forgot
Answer:
2
Step-by-step explanation:
what is an equation of the line in, point slope form, that passes through the given point and has the given slope?
point: (8,-8); slope: 3
Answer:
I hope this helps
Step-by-step explanation:
The answer is 3.453
Answer:
y + 8 = 3(x - 8)
Step-by-step explanation:
y - [tex]y_{1}[/tex] = m(x - [tex]x_{1}[/tex]) Use point-slope form.
y - (-8) = 3(x - 8) Substitute [tex]y_{1}[/tex]for -8, m for 3, and [tex]x_{1}[/tex] for 8.
y + 8 = 3(x - 8) is the equation.
(I'd appreciate a brainliest! thanks)
round the nearest tenth 11.34? A:11.3 B:12.34 C:12 SOMEONE PLZ HELP
Answer:
B is the asnwer
Step-by-step explanation:
Answer:
Your answer is A. 11.3
Step-by-step explanation:
To round to the nearest tenth of 11.34, you will be using the 4 to determine if the 3 (in the tenth place) will be rounded up or stay the same. Since 4 is under 5, the 3 will remain the same.
3) 8x = 72
It’ll help
Answer:
9
Step-by-step explanation:
×=72/8
×=9
Hope it helps
Answer: 9
Step-by-step explanation: First, look for the value of x. A number with a variable in front of it means that you’ll be multiplying, but you can use division which makes it easier to find x. SO, DIVIDE 72 by 8 (82 ÷ 7), which equals to 9. (8 x 9 = 72)
Need help with these bad
A figure has side lengths 5, 7, and 13. Could the figure be a triangle?
Answer: no
Step-by-step explanation:
why do math exist in school?
Answer: I have no idea
Step-by-step explanation:
Solve for the value of s.
HELP PLS NOW 20 POINTS
Answer:
15
Step-by-step explanation:
82 + (7s - 7) = 180
- subtract 82 from both sides
7s - 7 = 98
- add 7 to both sides
7s = 105
- divide both sides by 7
s = 15
The sides of a rectangle have a length of x + 4 units and a width of 2x + 5 units. Which of the following represents the perimeter of the rectangle? Someone please help. I need it
Answer:
B. 6x+18
Hope this helps!
Step-by-step explanation:
The image of trapezoid PQRS after a reflection across Line W Y is trapezoid P'Q'R'S'.
2 trapezoids are shown. Line W Y is the line of reflection. Line segment R R prime has a midpoint at point Z. Line segment S S prime has a midpoint at point X.
What is the relationship between RR' and SS'?
Answer:
The answer is C. RR' || SS'
Step-by-step explanation:
Answer:
The answer is C. RR' || SS'
Leigh is renting a moving van The function C (d) = 0.12d + 25 is used to relate the cost, C, in dollars of the rental after Leigh
uses the van for d miles. What is the interpretation of the slope for this function? (1 point)
The initial cost of the moving van is $0.12
The additional cost is $25 for each additional mile the van is driven
The initial cost of the moving van is $25.
The additional cost is $0.12 for each additional mile the van is driven
Answer:
The additional cost is $0.12 for each additional mile the van is driven ⇒ D
Step-by-step explanation:
The form of the linear function is
f(x) = m x + b, where
m is the rate
b is the initial value
In our question
The function C(d) = 0.12 d + 25 represents the cost C in dollars of the rental van uses for d miles
→ Compare it with the form of the linear function above
∴ m = 0.12
∴ b = 25
∵ The cost C depends on the number of miles d
∴ $0.12 is the cost per mile ⇒ additional cost for each additional mile
∴ $25 is the initial cost ⇒ initial cost of the moving the van
The interpretation of the slope for this function is:
The additional cost is $0.12 for each additional mile the van is driven
Answer:
+0.12
Step-by-step explanation:
The additional cost is 0.12 cents for each additional mile the van is being driven.
please hurry and help ill give brainy
The ratio of skiers to snowboarders is 5 to 2. If 210 skiers rode the chairlift in the last hour, how many snowboarders rode the chairlift during that same time?
[A] Write a proportion that is defined by this situation.
[B] Explain how the cross product is used to solve the problem.
[C] Answer the question.
Answer:
84
Step-by-step explanation:
5/2 for every 2.5 skiers one snowboarder rides
[A] 2.5 skiers to one snowboarder
[B] [tex]\frac{1}{2.5} = \frac{?}{210}[/tex]
210=2.5*x divide both sides by 2.5
x=84
[C] 84 snowboarders rode at the same time as 210 skiers
f(x) = 10x - 2x2
find f(4)
A 24
B -22
C. -24
D. -8
Answer:
maybe try A
Step-by-step explanation:
HELP ME PLZZ I NEED HELP WITH THIS!!!
Answer:
D because you're adding to negatives and you get a postive
-2(x - 5) = -14 PLEASEEEEE HELPPPPPP
Can someone help me out please ?
Answer:
i think its option 1
Step-by-step explanation:
The atomic number of an element is equal to the number protons in the atoms of that element
True or false
Answer:
True
Step-by-step explanation:
Answer:
It is true
Step-by-step explanation:
Hope I Helped....✌
pls help me...
A. y is all real numbers
B. y>0
C.-6</=x </=6
D.0 </=y </=8
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]0 \leqslant y \leqslant 8[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Thus the correct answer is (( D )) .
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
In a city the distance between the libary and the police station is 3 miles less than than the distance between the police station and fire station the distance between the libary and police station is 5 miles how far apart are the police station and the fire station
Answer:
8 miles
Step-by-step explanation:
Given
Represent the police station with P, Library with L; Fire station with F
The first statement can be represented as:
[tex]L - P = P - F - 3[/tex]
The second can be represented as:
[tex]L - P = 5[/tex]
Required
Determine the distance between the police station and the fire station (P - F)
[tex]L - P = P - F - 3[/tex] --- (1)
[tex]L - P = 5[/tex] --- (2)
Substitute 5 for L - P in (1)
[tex]5 = P - F - 3[/tex]
Add 3 to both sides
[tex]3 +5 = P - F - 3 + 3[/tex]
[tex]3 +5 = P - F[/tex]
[tex]8= P - F[/tex]
[tex]P - F = 8[/tex]
A rectangle that is 2 inches by 3 inches has been scaled by a factor of 7. 1.What are the side lengths of the scaled copy? 2. Suppose you want to scale the copy back to its original size. What scale factor should you use?
3a+ 6 = 15, 3a = 9, a+ 2= 5, 1/3a =1
are any of these equation equivalent to one another if so, which ones? Explain tou reason
Given parameters:
Find if any of the equations are the equivalent;
3a+ 6 = 15
3a = 9
a+ 2= 5
[tex]\frac{1}{3a}[/tex] =1
To find which of the equations are equivalent to one another, let us solve them first. The ones with the same solution are definitely equivalent.
(i) 3a+ 6 = 15
3a = 15 - 6
3a = 9
a = 3
(II) 3a = 9
a = 3
(III) a+ 2= 5
a = 5-2
a = 3
(IV) [tex]\frac{1}{3a}[/tex] =1
1 = 3a
a = [tex]\frac{1}{3}[/tex]
We clearly see that the first three equations are equivalent.
I NEED HELP ASAP WE ARE GIVING BRAILIEST AND POINT HURRY I NEED
HELP!!!Q.1) The total distance an ant crawls varies directly with the time in seconds. The ant crawls a total distance of 95 centimeters in 5 seconds.
What is the time in seconds the ant crawls when the total distance is 133 centimeters?
A.6 s
B.7 s
C.19 s
D.27 s
Answer: C
Step-by-step explanation:
not A or d
B or C
All I did was divide 95 and 5 and I got 19!
hope this helps!:)
Answer:
B.) 7 seconds
Step-by-step explanation:
We are given that the ant can crawl 95 centimeters in 5 seconds, which means that it can crawl 19 centimeters in 1 second (95 centimeters/5 seconds). Now you need to divide 19 from 133 (133 centimeters/19 centimeters per second), and you get 7 seconds.
The answer is 55. You need to use the rules above to find the actual measure for angle b
Step-by-step explanation:
A circle is 360 degrees
209 is part of the circle so find the difference between 360 and 209
360 - 209 = 151
If the two angles are equivalent to 151, then we find the difference between 151 and 96 to get the measurement for angle b
151 - 96 = 55
I read now that it says use the rules above, but I'm not seeing any rules in the picture so hopefully my steps are the rules you're referring to
What type of slope does (-7,8) and (-7,0) have?
Answer:
Undefined slope
Step-by-step explanation:
any number divided by 0 is undefined
-8/0
Answer: m=12/7
Step-by-step explanation:
I looked it up for you bro
1. Approximately fourteen 20-ounce plastic drink bottles must be recycled to produce 1 square foot of carpet. Write an expression for the number of bottles needed to make c square feet of carpet.
combine like terms 10a-10a+1
Answer:
1
Step-by-step explanation:
10a and -10a would combine and cancel eachother out leaving you with 1
can someone help me please, please hurry. I may mark brainiest
pwease help thank you
You’d like to see how many baseball and soccer games you can attend this spring. Travel time for basketball games is 2 hours and soccer games is 1 hour. You would like to spend no more than 15 hours traveling to the games. In total, you would like to attend at least 8 games.
We have to attend 7 basketball games and 1 soccer game.
Given, we had two types of game namely basketball and soccer.
Travel time for basketball games is 2 hours and soccer games is 1 hour.
Let no. of basketball games be x and no of soccer games be y.
According to the question we would like to attend at least 8 games, so we have the inequality [tex]x+y\geq 8[/tex]
And we would spend no more than 15 hours traveling to the game, so [tex]2x+1y\leq 15[/tex].
[tex]x+y=8\\[/tex]
[tex]2x+1y=15\\[/tex]
On solving we get [tex]x=7[/tex] and [tex]y= 1[/tex].
Hence we have to attend 7 basketball games and 1 soccer game.
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