The equation of the parabola is gotten as;
y = -4x² + 24x - 32
We are given the coordinates of a parabola to be;
(3, 4) ; (4,0) ; (2,0)
The general form of equation of a parabola is given by;
y = ax² + bx + c
Let's plug in the x and y coordinates as given to us from the question.
For coordinate (3, 4), the equation is;(3²)a + 3b + c = 4
9a + 3b + c = 4 ----(eq 1)
For coordinate (4, 0), the equation is;(4²)a + 4b + c = 0
16a + 4b + c = 0 ----(eq 2)
For coordinate (2, 0), the equation is;(2²)a + 2b + c = 0
4a + 2b + c = 0 ----(eq 3)
Solving the 3 equations using an online simultaneous equation solver tool, we have; a = -4; b = 24; c = -32Plugging these values of a, b and c into the general equation of parabola gives us;y = -4x² + 24x - 32
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Could someone please help answer this, no spam please, will give brainliest, thank you (homework help)!
Answer:
144
Step-by-step explanation:
48x4-48=144
Answer:
Question : The dress store is having a sale where all merchandise is 1/4 off. A woman buys $48 of merchandise at the sale price
Answer :
There are two ways to look at this. If we take 1/4 off, then the $48 is 3/4 of the original price.
(3/4)p = 48
(4/3)(3/4)p = 48(4/3)
p = 64
Regular price is $64.
Step-by-step explanation:
- Amaya :))
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WILL MARK BRAINLIEST!
Simplify 9y + 2a - 5y + 3 - 8a
Answer:
Your answer is 4y - 6a + 3
Step-by-step explanation:
Combine like terms.
Answer:
[tex] \huge \color {blue} \boxed { \colorbox {brown}{ ANSWER }}[/tex]
9y + 2a - 5y + 3 - 8a
→ 4y + 2a + 3 − 8a
→ 4y − 6a + 3
→ 6a + 4y + 3
click on file! thank youuu!! <3
Answer:
[tex]2(x+11y)[/tex]
Step-by-step explanation:
Rearrange:
[tex]10x-7x-x+13y+9y[/tex]
Subtract and Add:
[tex]2x+22y[/tex]
Simplify:
[tex]2(x+11y)[/tex]
Answer:
x + 11y
Step-by-step explanation:
Working in parts starting with x...
10x-7x = 3x
3x - x = 2x
Moving on to y...
13y + 9y = 22y
Put it together
2x + 22y
Simplify by dividing both by a common number ( in this case 2)
x + 11y
2p³+5p²+6p+15. Solve by grouping
Answer:
[tex]2 {p}^{3} + 5 {p}^{2} + 6p + 15[/tex]
Step-by-step explanation:
there are not any like terms, so you can not add anything together.
like terms means it has the same variable (letter) and exponent or it is a constant (a number by itself)
I need help lollololol
Answer & Step-by-step explanation:
37.
Linda walked 3/4 (or 75%) of a track which is 3.5 miles long
Multiply 0.75 by 3.5 to get 2.625 miles (or 2 and 5/8 miles)
38.
We need to multiply the 2 and 3/8 mile track by 2 and a half (2 and 0.5)
1/8 is 0.125
2/8 is 0.25
3/8 is 0.375
The track is 2.375 miles long.
Multiply 2.375 by 2.5
The track will be 5.9375 miles long after 5 years ( or 5 and 15/16 miles)
Step-by-step explanation:
37) ¾×7/2
21/8 miles = 2⅝miles .
38) (19/8×5/2)+19/8
= 95/16+19/8
= 133/16 = 8 5/16 miles .
hope this helps you.
Please help!! No links
Answer:
Okay. We'll do some sort of telepathy or anything to find out what you're trying to say. But not now because I don't have any reason to help you with this empty post, ask something if you want else expect these answers.
hey guys pls help mee!!! numbers between 2/3 and 8/9??? Thanks and also pls explain ok? <333
Answer:
2/3 = 0.667 8/9 = 0.889 Then, we compare the two decimal numbers to get the answer. 0.667 is not greater than 0.889.
Please help. I struggle with geometry
Find the measures of angle 1 and angle 2. State the theorem or postulate that justifies your answer,
Answer:
Angle 2 = 55
Angle 1 = 125
Step-by-step explanation:
Considering the line vertical lines are parallel:
Angle 2 and angle with measure of 125 are supplementary and their sum is = 180
So m<2 = 180 - 125 = 55
For angle 1:
Again since the vertical lines are parallel:
Angle 1 and angle with given measure 125 are alternate and has same measurement.
Answer:
Angle 2= 55 degrees
angle 1= 125 degrees
Step-by-step explanation:
Angle 2 uses SA, 180-125=55
angle 1 is parallel to the 125 degree line
solve the following eqation: -8.2 + t/-2 = 1.7
Answer:
t = -19.8
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
[tex]-8.2 + \frac{t}{-2} = 1.7[/tex] [tex]-8.2 - \frac{1}{2}t = 1.7[/tex] [tex]-\frac{1}{2}t - 8.2 = 1.7[/tex]Step 2: Add 8.2 to both sides.
[tex]-\frac{1}{2}t - 8.2 + 8.2 = 1.7 + 8.2[/tex] [tex]-\frac{1}{2}t = 9.9[/tex]Step 3: Multiply both sides by -2.
[tex]-\frac{1}{2}t * (-2)= 9.9 * (-2)[/tex] [tex]t = -19.8[/tex]michael and his brother allen played basketball basketball each basket was worth 5 points michale scored 35 points allen scored 20 points what is the total number of baskets made during this game
What is the value of 4C9 ?
Answer:
the value is 126
Step-by-step explanation:
have a good day
O A. All real numbers
O B. y> 0
O c. y> 4
O D. y>4
Answer:
A
Step-by-step explanation:
cause an exponent and be any number
Evaluate the function
Write the equation of a line that is perpendicular to y = 3x - 2 and goes through the point (0,5)
Answer:
y = -1/3x + 5
Step-by-step explanation:
Perpendicular lines have negative reciprocal slopes. This means that if you multiply the slopes of both linear equations, the product will be -1.
Given the linear equation, y = 3x - 2, and the point (0, 5):
The negative reciprocal of the slope (m) = 3 is -1/3. Hence, we can assume that the slope of the other line must be -1/3.
Next, using the slope of the other line (m = -1/3) and the given point, (0, 5), we'll substitute these values into the slope-intercept form, y = mx + b, to solve for the y-intercept (b):
y = mx + b
5 = -1/3(0) + b
5 = 0 + b
5 = b
The y-intercept (b) of the other line is 5.
Therefore, the linear equation of the line perpendicular to y = 3x - 2 is:
y = -1/3x + 5
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Mia solved the equation 4x - 8 = 2(2x-4) and ended up with -8 = -8. what does this mean?
a) one solution
b) many solutions
c) no solutions
d) she did it wrong
Answer:
D
Step-by-step explanation:
She should have ended up with 4x-8= 4x-8
When you put everything on the proper side everything cancels out
Need help . Explain if you can . The options are
Additive property of length
All right angles are congruent
Definition of angle bisector
Definition of equilateral triangle
Definition of midpoint
Vertical angle theorem
9514 1404 393
Answer:
Definition of midpoint
Step-by-step explanation:
The statement you're trying to justify is one that relates two line segments. (It says they're congruent.) This does not involve angles or triangles, and no addition of length is involved. The only reasonable choice on the list (and the correct one) is ...
Definition of midpoint
__
A midpoint is a point that divides a line segment into two congruent parts. Since W is said to be the midpoint (given), it must divide UV such that UW ≅ VW, the statement we're trying to justify.
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True or False: If one of the legs in a right triangle is half of the hypotenuse, then the angle opposite to that leg is 60 degrees.
We want to see if the given statement is true or false.
We will prove that the statement is false.
The statement is:
" If one of the legs in a right triangle is half of the hypotenuse, then the angle opposite to that leg is 60 degrees."
We can use the rule:
Sin(θ) = (opposite cathetus)/(hypotenuse).
Let's define:
hypotenuse = H
opposite cathetus = H/2
Let's see if the given angle is equal to 60°, we will have:
Sin(θ) = (H/2)/H = 1/2
θ = Asin(1/2) = 30°
So we can see that the statement is false.
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factorize:
x²+3x-4
3x²+5x+2
6x² + 11x + 4
x²-3x +2
x²+3x-40
Answer:
1. (x-1) (x+4)
2. (3x+2) (x+1)
3. (3x+4) (2x+1)
4. (x-1) (x-2)
5. (x-5) (x+8)
1 book/5 days is it a unit rate
Answer: No, it is not a unit rate
Explanation:
A unit rate is when the time value in the denominator is 1. So it would need to be "1 day" instead of "5 days" for it to be a unit rate. The term "unit" means "one".
To convert to a unit rate, we simply compute 1/5 = 0.20 to see that the unit rate is 0.20 books per day. This is the same as saying "0.20 books every 1 day", but I think the phrasing "books per day" is more common.
Find the cosine of ZX.
Answer:
[tex] \cos(x) = \frac{ 65}{ \sqrt{ {65}^{2} + {72}^{2} } } = \frac{65}{97} [/tex]
billy started a paper route with 21 customers. if he adds 3 new customers every week, how many weeks will it take to double the number of customers on his route.
Answer:
It will take billy SEVEN weeks
Step-by-step explanation:
It will take Billy seven weeks because 3 x 7 = 21
SHOW ALL WORK : A metal bar has a length of 5.0 cm, a width of 3.0 cm, and a height of 1.0 cm. What volume of water, measured in deciliters, would this bar displace?
9514 1404 393
Answer:
0.15 dL
Step-by-step explanation:
The volume of the bar is ...
V = LWH
V = (5 cm)(3 cm)(1 cm) = 15 cm³
1 dL = 100 cm³, so this volume is ...
(15 cm³)(1 dL)/(100 cm³) = 0.15 dL
The bar will displace 0.15 deciliters.
Victor and his friends are preparing for an epic snowball fight. They make 85 snowballs before Victor's dad calls them in for lunch. After lunch, they make more snowballs. In all, Victor and his friends make 153 snowballs.
Which equation can you use to find the number of snowballs s Victor and his friends make after lunch?
Answer:
85+x=153
Step-by-step explanation:
So basically, Victor made an unknown amount of snowballs after lunch, and you need to find the amount. You can represent the unknown as the variable x. Then, you get the equation 85+x=153
The equation used to find the number of snowballs s Victor and his friends make after lunch is s + 85 = 153.
Given data:
Victor and his friends are preparing for an epic snowball fight. They make 85 snowballs before Victor's dad calls them in for lunch. After lunch, they make more snowballs. In all, Victor and his friends make 153 snowballs.
Now , the equation to find the number of snowballs Victor and his friends make after lunch is determined as :
s + 85 = 153
In this equation, "s" represents the number of snowballs they make after lunch. The equation states that the sum of the snowballs made before lunch ("85") and the snowballs made after lunch ("s") is equal to the total number of snowballs they made ("153").
Hence, the equation is s + 85 = 153
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Find the value of each expression. Then write an expression that has the same value, using addition 7 – (-3) 7 – 3 59 – (-1) -17 – (-6) of related numbers.
Answer:
7-(-3)=10
7-3=4
59-(-1)=60
-17-(-6)=(-11)
Step-by-step explanation:
In the photo !
If f(x)=2x^2-4, find f(0) and f(-3)
Answer:
1st problem. x= √2, -√2 or Decimal form x= 1.41421356...
2nd problem. x= √2/2 , -√2/2 or Decimal form X= 0.70710678...
This is a sample question for brainliest! Brainliest will be given to the user who accurately answers the question with the most detail in a step-by-step explanation. NO guesswork, plagiarism, or links!!!
Simplify the following algebraic expression:
[tex](6 x^{4} ) (4 y^{2} ) / [ (3x^{2} ) (16y)][/tex]
Well, we're just simplifying the fraction.
(2x^2)(y/4).
(2yx^2)/4.
When powers of the same base are being divided, subtract. The numbers are just plain fractions. 6/3 = 2 and 4/16 = 1/4. x^4/x^2 = x^2 and y^2/y = y.
Edit:
2/4 is 1/2.
(yx^2)/2.
Express the number 7.901×10 to the 12 hour in standard form to change his number to standard form move the decimal point how many places
Answer:
7.901. 10 '12'
Step-by-step explanation:
11. There are a total of 30 puzzle pieces. Three
out of 5 are red, the remaining are black. How
many puzzle pieces are black?
Answer: 2
Step-by-step explanation:
5-3=2
30-5=15
If three out of the five are red and there are a total of 30 puzzle pieces then the number of black puzzle pieces will be 12.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
We'll apply division by Splitting into equal halves or groups, the division may be used to decide how to distribute a dish of cookies evenly among a group.
it is given that there are a total of 30 puzzle pieces three out of 5 are red, and the remaining are black.
From the given condition,
(3/5) of total puzzle pieces = Number of red puzzle pieces
(3/5) × 30 = Number of red puzzle pieces
Number of red puzzle pieces = 18
Total puzzle pieces = Red puzzle pieces + Black puzzle pieces
30 = 18 + Black puzzle pieces
Black puzzle pieces = 30-18
Black puzzle pieces =12
Thus, if three out of the five are red and there are a total of 30 puzzle pieces then the number of black puzzle pieces will be 12.
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5x - 9 = 3x + 3 what is x
Answer:
x=6
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Then solve
x
=
6
Answer:
x = 6
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable and solve for x.