Which is the graph of the function f(x) = 1/2x2+2x-6?
Answers
Answer:
This is how the graph would look like
Step-by-step explanation:
The graph of the function [tex]f(x) = 0.5x^{2} + 2x - 6[/tex] is attached below.
What is plotting of graph of a function?The graph of the function [tex]f(x) = 0.5x^{2} + 2x - 6[/tex] can be created by plotting a few coordinates that lie on the function.
When x = 0, y = -6
Coordinate = (0, -6)
When y = 0, [tex]0.5x^{2} + 2x - 6 = 0[/tex]
[tex]x^{2} + 4x - 12 = 0\\\\x^{2} + 6x - 2x - 12 = 0\\\\x(x+6) - 2(x+6) = 0\\\\(x-2)(x+6) = 0\\\\x = 2, -6\\[/tex]
Coordinates = (2,0), (-6,0)
Abscissa of vertex of graph = -b/2a = -2
Ordinate of vertex of graph = 0.5 *4 -4 - 6 = -8
coordinate = (-2, -8)
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Related Questions
Graph the equation
y-3=-3/2(x+4)
Answers
Answer: x = (-2,0) y = (0,-3) slope is -3/2
Step-by-step explanation: graph the line by using the slope and y intercept
The graph for the points (0, -3) and (2, -6) is plotted on the graph below.
The given equation is y-3= -3/2(x+4).
What is the graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter.
Graph the line using the slope and y-intercept, or two points.
Slope: -3/2
y-intercept: (0, -3)
Plot the points (0, -3) and (2, -6) on the graph
To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.
x-intercept(s): (−2,0)
y-intercept(s): (0,−3)
Therefore, the graph for the points (0, -3) and (2, -6) is plotted on the graph below.
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NEED HELP NOW. WILL GIVE BRAINLIEST
Answers
Answer: y = -2x² + 920x - 84168
suppose: the equation of the parabola is y = ax² + bx + c
because the parabola passes through (126,0); (134,3200); (334,0)
=> we have the equations:
126².a + 126b + c = 0
134².a + 134b + c = 3200
334². a + 334b + c = 0
⇒ a = -2
b = 920
c = -84168
=> the equation of the parabola is y = -2x² + 920x - 84168
Step-by-step explanation:
Answer:
yea listen to the other person
Step-by-step explanation:
help please!!!!!!!!
Answers
That should be correct
If f(x) = 3x - 1 and g(x) = x + 2, find (f- g)(x).
Answers
Answer:
(f-g)(x) would be 2x-3
What is the amount of discount?
Answers
Answer:
$3.75
Step-by-step explanation:
give brainliest please
Help me answer number 15 please
Answers
Find the y-intercept of the graph of the linear equation. 3/4 x + y = 10
Answers
Answer:
10
Step-by-step explanation:
slope intercept form is y=mx+b
in this case b is 10
y=-3/4x+10
Sebastian drove for 2.2 hours at an average rate of 43.5 miles per hour. He calculates that he drove 95.7 miles. He knows the answer should be near 80, because 40 times 2 is 80. Which best explains Sebastian’s actual solution?
The actual product is reasonable because it is near 80 but greater than 80. Both factors were rounded down, making the estimate lower than the actual product.
The actual product is unreasonable. It should be near 80 but less than 80 because both factors were rounded down.
The actual product is reasonable because the estimate and actual answers both have two places to the left of the decimal.
The actual product is unreasonable because the estimate has zero places to the right of the decimal and the actual product has one decimal place to the right of the decimal.
Answers
Answer:
The actual product is reasonable because it is near 80 but greater than 80. Both factors were rounded down, making the estimate lower than the actual product.
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
To watch a varsity basketball game, spectators must buy a ticket at the door.the cost of an adult ticket is 3.00 dollars and the cost of a student ticket is 1.50 dollars.If the number of an adult ticket sold is represented by a and student is represented ticket sold by a which expression represents the amount of money collected at the door from the ticket sale
Answers
Answe
Step-by-step explanation:
HELP ASAP THIS IS DUE IN 5!!!!
Find the slope of the line.
O -2/5
O 2/5
O 5/2
None of the above
Answers
Answer:
2/5
Step-by-step explanation:
Match the graph shown with the following equation
Answer a and b please
Answers
Answer:
a) D b)B
Step-by-step explanation:
a) the graph is of negative slope as it slants downwards hence slop/gradient is negative. y intercept is positive so only option d is right
b) sub each option point into 3y = 2x - 1 if they equate to be the same, it is correct.
3(2) = 2(6) - 1
6 = 11 (not equal)
3(1) = 2(2) - 1
3 = 3 (equal) this is the answer
of course you can sub in the rest to confirm but I'm lazy so yeah I'll stop here
Topic: Linear Graphs and its equations
If you would like to venture further, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!
SUBSTITUTING INGREDIENTS
1. Your soup recipe calls for tdry mustard What can you substitute?
2. Your chocolate cake recipe calls for 2 ozunsweetened baking chocolate substitute ?What can you
3. Your muffin recipe calls for 2 c. self-rising flour. What can you substitute 3. Your meat sauce recipe calls for 2 T. fresh, chopped basil. What can you substitute?
4. Your cake recipe calls for 2 c. cake flour . What can you substitute ?
Answers
Answer:
1. 1 tablespoon Dijon mustard
2. Combine six Tablespoons of cocoa powder and two Tablespoon of vegetable oil, butter or shortening
3. 2 cups of all-purpose flour, 3 teaspoons baking powder, and ½ teaspoon salt
3. One teaspoon of dried basil leaves
4. Combine 1 3/4 cups all-purpose flour with 1/4 cup cornstarch
Step-by-step explanation:
CAn I have brainliest? TYSMMMMMMMMMM
Please Help! 30 Points. BRAINLIEST FOR CORRECT ANSWER!
Answers
Answer:
c20
Step-by-step explanation:
i had 50 candies yesterday, and now i have 35. find the percent of decrease
Answers
Answer: you lost 15 candies
Step-by-step explanation:
Answer:
30% is the decrease percent
Write as a product:
a2+b2–2ab –25
Answers
Answer: -a2 - 2ab - b2 + 25 =
-1 • (a2 + 2ab + b2 - 25)
Final result :
-a2 - 2ab - b2 + 25
Step-by-step explanation:
Select the expression that has a value of 6.
1. 2,400 divide by 40
2. 2,400 divide by 4
3. 240 divide by 40
4. 240 divide by 4
Answers
Show your work. Round to the nearest cent when necessary.
2.)What costs the least per bag? A or B?
A: 20 bags for $6.00
B: 32 bags for $9.92
Guys I need the answer super fast please help giving allot of points
Answers
Answer:
Option A
Step-by-step explanation:
Bag A: 30 cents per bag
Bag B: 31 cents per bag
In order to find Cents per bag divide the number of bags from the amount it costs.
Bag A: 6 ÷ 20 = 0.30
Bag B: 9.92 ÷ 32 = 0.31
Answer:
B
Step-by-step explanation:
I say B cost the least per bag. I divided 32 by 9.92 and 20 by 6. That gives me the answers to what each bag costs. bag A costs 3.34 for each bag and bag B costs 3.22. So bag B is cheaper.
Pensé un número, le saque la mitad y luego le reste 15,con lo que obtuve 125. ¿Cuál es el número que pensé?
Answers
The image of the point (4. 9) under a translation is (9. 13). Find the coordinates
of the image of the point ( 5. 2) ander the same translation,
Answers
Answer:
The coordinates of the image are (10,6)
Step-by-step explanation:
Translation
A point located at (x,y), translated by (a,b) maps to the point (x+a,y+b).
If we know the location of the point (x,y) and the location of its image (x',y'), we can know the values of (a,b) by subtracting:
(a,b) = (x',y') - (x,y)
We know the coordinates of the point (4,9) and the coordinates of its image (9,13). Calculate the translation:
(a,b) = (9,13) - (4,9) = (5,4)
If the point (5,2) is translated under the same conditions, then it will map to the point (5,2) + (5,4) = (10,6).
The coordinates of the image are (10,6)
Part B
Joe recevied a large jug of antifreeze coolant that is labeled as containing 120
fluid Ounces. He needs to transfer the coolant into pint-sized bottles using the
conversion chart shown below. How many pint-sized bottles will he
need? Explain how you got your answer.
1 gallon (gal) = 4 quarts (at)
1 quart = 2 pints (pt)
1 pint = 2 cups (c)
1 cup = 8 fluid Ounces (fl oz.)
In the box below, write the number of pint-sized bottles he will need and
explain how you got your answer.
Y
Answers
Answer:
7.5,
Step-by-step explanation:
8 x 15 = 120
So 15 cups
And then since 2 cups equal a pint
15 divided by 2
Which is 7.5 pints
simplify (3a²b²)²+(ab)²
Answers
Answer:
[tex]a^{2} b^{2}[/tex] (9[tex]a^{2} b^{2}[/tex] + 1)
Step-by-step explanation:
simplify (3a²b²)²+(ab)²; for the first term, square the 3 and multiply the exponents by 2, also multiply the exponents by 2 in the second term
[tex]9a^{4} b^{4} + a^{2} b^{2}[/tex] ; factor out [tex]a^{2} b^{2}[/tex]
[tex]a^{2} b^{2}[/tex] (9[tex]a^{2} b^{2}[/tex] + 1)
= 4a^2b^2
Jillian brought a sweater for $8 less than half its original price. She paid $18 for the sweater. What is the original price of the sweater ?
Answers
Answer:
She paid $52.
Step-by-step explanation:
Use reverse operations to solve.
18 + 8 = 26
26 * 2 = 52
8 + 18 = 26
Then multiply it by 2 to find the original price:
52
Which expression is equivalent to (4n³p)²(2n²p⁴)³?
a. 128n³⁶p²⁴
b.48n¹²p¹⁴
c.128n¹²p¹⁴
d.48n³⁶p²⁴
Answers
Answer:
C: 128n¹²p¹⁴
Step-by-step explanation:
I plugged this into my TI-89 calculator and got this answer. Let me know if you need the step by step explanation and I'll be more than happy to hand-solve it for you!
An airplane flies across the country. Its distance from Portland, as a function of time, is modeled by y. 500x.
Which statement best describes the function?
A. The function is nonlinear
B. The function is linear at some points and nonlinear at other points.
c. The function is linear
D. Not enough information is given to decide
Answers
Answer:
I would say b
Step-by-step explanation:
I choose b because the question is linear and also non linear it only told us the distance which is 500x and no time but is saying as a function of time
C. The function is linear.
The given function is y = 500x, where x represents the time and y represents the distance from Portland. In this function, y is directly proportional to x, meaning that for every unit increase in x, y increases by a constant amount of 500.
Since the function is of the form y = mx, where m (in this case, 500) is the constant of proportionality, the function is linear.
Therefore, the correct answer is:
C. The function is linear.
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jack needs 22 pirates for every 2 ships he manages
Answers
Help me pls
Steve earns $1575 a month.
Below is his monthly budget:
.3/5 of his budget is for rent and utilities
.1/3 of his income is for food and other expenses
. The rest will go into Steve's savings account
How much money will Steve put into his savings account each month?
Answers
1/3 of his budget = $525
$105 will go into his savings because
$1575 - (945 + $525) = $105
the 6 term of a G.P is -2\27 and it's first term is 18.what is the common ratio
Answers
Answer:
r = - [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
The n th term of a GP is
[tex]a_{n}[/tex] = a₁ [tex]r^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = 18 and a₆ = - [tex]\frac{2}{27}[/tex] , then
18 [tex]r^{5}[/tex] = - [tex]\frac{2}{27}[/tex] ( divide both sides by 18 )
[tex]r^{5}[/tex] = - [tex]\frac{1}{243}[/tex] ( take the fifth root of both sides )
r = [tex]\sqrt[5]{-\frac{1}{243} }[/tex] = - [tex]\frac{1}{3}[/tex]
select all pairs of congruent angles
Answers
Answer:
1,4
2,3
1,6
6,7
5,8
5,2
1,6
7,2
8,1
3,6
4,5
1,5
2,6
3,7
4,8
Step-by-step explanation:
Alternate interior, exterior, vertical, and complemetary angles are congruent.
The pairs of congruent angles are ∠1≅∠4, ∠2≅∠3, ∠5≅∠8 and ∠6≅∠7.
What are angles of parallel lines?Angles in parallel lines are angles that are created when two parallel lines are intersected by another line called a transversal.
From the given figure,
Vertically opposite angles:
∠1≅∠4
∠2≅∠3
∠5≅∠8
∠6≅∠7
Alternate interior angles:
∠3≅∠6
∠4≅∠5
Alternate exterior angles:
∠1≅∠8
∠2≅∠7
Corresponding angles:
∠1≅∠5
∠2≅∠6
∠4≅∠8
∠3≅∠7
Therefore, the pairs of congruent angles are ∠1≅∠4, ∠2≅∠3, ∠5≅∠8 and ∠6≅∠7.
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a) Match the graph shown with one of the following equations.
b) Which one of the following points lies on the line 3y = 2x - 1?
Answers
The graph have a negative slope and a positive y intercept. The graph is given by y = -x + 2. The point (2, 1) lies on th line 3y = 2x - 1
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The graph have a negative slope and a positive y intercept. The graph is given by y = -x + 2
Given the equation:
3y = 2x - 1
When x = 2:
3y = 2(2) - 1
y = 1
The point (2, 1) lies on th line 3y = 2x - 1
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Samantha buys $128 worth of goods at a 25% discount. If the sales tax rate is 6.4%, what is the total amount she will pay?
Answers
Answer:
To do this, you need to find the amount of discount of the original price. To find a percent of a number you first convert the percent to a decimal (i.e. 25% = 0.25). Then you multiply this decimal by the original price. Therefore, the sale price is $17.21. If example.
Step-by-step explanation:
Answer:
102.144
Step-by-step explanation:
128 times 0.25 = 32
128 - 32 = 96
96 times 1.064 = 102.144
She will need to pay 102.144