Here are graphs of two functions f and g the function h is defined by h(x)=f(x)-g(x)
1.for which values of x is h(x)=0? explain how you know
2.For which values of x is h(x) 0
3.sketch a graph of h
I am not good at math and don't feel like taking it again pleas help ;-;
Answers
i did this last year lol ;-;
The function h(x) is h(x)=5/4 x² - 5/2 x.
What is quadratic equation of graph?A quadratic function is one of the form f(x) = ax² + bx + c, where a, b, and c are numbers with a not equal to zero. The graph of a quadratic function is a curve called a parabola.
The vertex form of a quadratic function is f(x) = a(x - h)² + k, where (h, k) is the vertex of the parabola. The coefficient a determines whether the graph of a quadratic function will open upwards or downwards.
Here, vertex is (h, k)=(0, 0) and coordinate point is (x, y)=(-2, 5)
So, 5=a(-2-0)²+0
5=4a
a=5/4
Substitute, a=5/4 and (h, k)=(0, 0) in vertex form we get
f(x)= 5/4 x²
Equation of straight line with coordinates (-2, 5) and (0, 0) is
Slope m=5/2
Substitute, m=5/2 and (x, y)=(0, 0) in y=mx+c we get
0=5/2(0)+c
c=0
Substitute, m=5/2 and c=0 in y=mx+c we get
y=5/2 x
So, g(x)=5/2 x
Now, h(x)=f(x)-g(x)
h(x)=5/4 x² - 5/2 x
h(x)=5/2 x(1/2 x-1)
1) h(x)=0
5/2 x(1/2 x-1) =0
1/2 x-1=0
1/2 x=1
x=2
2) For x=2, h(x) is 0
3) Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Therefore, the function h(x) is h(x)=5/4 x² - 5/2 x.
To learn more about the quadratic function visit:
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Related Questions
Lauren buys 17 pounds of bread for her restaurant every day at a cost of $1.40 per
pound.
How much does she pay for the bread each day?
Answers
Can you help with 3,5,6 please Also can you explain how you did 5 please I dont understand well
Answers
Answer:
3) 46 5) 19.5 6) 31.2
Step-by-step explanation:
all the "y" numbers are the product of the "x" numbers being added or subtracted by something. In 5, y=x-1.5
CAN SOMEONE PLEASE HELP ME ON NUMBER 3
Answers
Answer:
36
Step-by-step explanation:
58 x 64 is the same as:
(64 x 50) + (64 x )
What number goes in the space?
help please
Answers
64 x 50 = 3,200
3,712-3,200= 512
64 x ? = 512
?=8
3,200+512= 3,712
Giving brainliest to the correct answer 20 points!!!
Answers
Answer:
x, (40,0)
y, (0,15)
hope it helps
Answer:
78
Step-by-step explanation:
hvtyvyuhj7
A department store is offering the same percentage discount on all of their shoes. Suppose one pair of shoes is marked down from $70 to $49. Based on that percentage discount, what would the new price be for a pair of shoes that originally cost $100?
MIDDLE SCHOOL QUESTION
Answers
Explanation: 49 is 70 percent of 70, which means the price was reduced 30%. If we reduce $100 by 30%, we get 70
What is 2+2? xd noob
Answers
Answer:
4
Step-by-step explanation:
You can count on your fingers if you need to or use a calculator.
Answer:
2+2 is 4
Step-by-step explanation:
WILL MARK BRAINLIST!!!!
A string of lights is 69 1/3 feet long. The lightbulbs are spaced 8 inches apart. The diagram shows the beginning of the string and the end of the string. What is the total number of lightbulbs on the string of lights?
Answers
Answer: 104
Step-by-step explanation:
I multiplied 69 1/3 by 12 to get how many inches it would. Then I divided that answer by 8 and got 103.999999999999. If you round it then you would get 104.
Memorial Stadium has worked with the same advertising company for 10 years. According to the company's data the stadium has spent approximately $2.5 million on advertising over that period for 100 events. If the patrons to all of these events numbered 18.5 million, what is the ratio of patrons to advertising dollars?
Answers
Answer:
7.4:1
Step-by-step explanation:
The rate of patrons to advertising dollar is7.4 patrons per dollar.
What is rate?A rate is a comparison between two quantities that's calculated by dividing one quantum by the other. The quotient a/ b is appertained to as the rate between a and b if a and b are two values of the same kind and with the same units, similar that b isn't equal to 0. rates are represented by the colon symbol(). As a result, the rate a/ b has no units and is represented by the memorandum ab.
Given:
The colosseum has spent roughly $2.5 million on advertising over that period for 100 events.
So, the rate of patrons to advertising
= 18.5 million patrons to $2.5 million
= 18.5/2.5
= 7.4 patrons per dollar
Learn more about Ratio here:
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Solve the inequality
22 + 4x - 32 < 0
Answers
Answer:
x=5
Step-by-step explanation:
22 + 4x - 32 < 0
+32 +32
22 + 4x < 32
-22 -22
2x < 10
divide by 2
x=5
An earthquake wave travels through 55 km of rock in 25 seconds . Which equation represents the relationship between t, the number of seconds, and d, the total distance the wave travels?
Answers
Answer:
2.2 m/s
Step-by-step explanation:
Step one
Given data
An earthquake wave travels through 55 km
hence distance = 55 km
time taken = 25 seconds
Required
the expression relating t and d
Step two:
we know that velocity is
Speed= distance/time
speed= 55/25
Speed= 2.2 m/s
Write the word sentence as an equation.
The sum of a number x and 4 equals 12.
An equation that represents this sentence is
.
Answers
Answer:
x+4=12
x in this equation would be 8
Answer:
X + 4 = 12
Step-by-step explanation:
you write it in a equation for like if you were writing whats two plus two equals 4 write it equation form ? The answer would be 2+2=4
Please help me find the x and y value of these
Answers
Answer:
27 and 28
Step-by-step explanation:
A box of dried fruit has 54 calories in 3 servings. How many calories are there per serving?
Answers
Answer:
18 per serving
Step-by-step explanation:
54/3=18 just divide to find the unit rate
I=$24, P=$400, T=2years
Answers
Answer:
rate = 24*100/(400*2) = 3%
Step-by-step explanation:
Tim has a large collection of books. The number of paperback books he has is 3 times less then 4 times the amount of hardcover books. How many hardcover books does Tim have?
Answers
Complete Question:
Tim has a large collection of books. The number of paperback books he owns is three less than four times the number of hard cover books, in total Tim had 447 books, How many hard cover books does Tim own ?
Answer:
Tim has 90 hard cover books
Step-by-step explanation:
Represent the paper books as P and the hard covers as H
The total number of books can be represented as:
[tex]P + H = 447[/tex]
From the first statement, we have:
P = 3 less than 4 times H
This means:
[tex]P = 4H - 3[/tex]
Required
Solve for H
Substitute 4H - 3 for P in [tex]P + H = 447[/tex]
[tex]4H - 3 + H = 447[/tex]
Collect Like Terms
[tex]4H + H = 447 + 3[/tex]
[tex]5H = 450[/tex]
Solve for H
[tex]H = \frac{450}{5}[/tex]
[tex]H = 90[/tex]
Hence:
Tim has 90 hard cover books
Simplify the expression 3.8 - 5.1n - 4n + 5
Answers
Answer:
8.8-9.1n
Step-by-step explanation:
Add 3.8+5 together to get 8.8, then add -5.1n and -4n to get -9.1n.
How do you calculate slope in pre algebra
Answers
Answer:
Find the slope from a graph
Locate two points on the line whose coordinates are integers.
Starting with the point on the left, sketch a right triangle, going from the first point to the second point.
Count the rise and the run on the legs of the triangle.
Take the ratio of rise over run to find the slope. m = rise / run.
A scuba diver starts at 85 3/4 meters below the surface of the water and descends until he reaches 103 1/5
meters below sea level. How many meters did he descend?
MUST SHOW WORK
you get EXTRA points if you show your WORK!
good luck please solve this :)
Answers
Answer:
From his starting point of 85 3/4, he descended 17 9/20 meters
Step-by-step explanation:
We want to know how much farther he went down from his starting point.
103 1/5 - 85 3/4
S
tart off by making the denominators of both the numbers the same.
103 1/5 - 85 3/4
103 4/20 - 85 15/20
Make them into improper fractions
2064/20 - 1715/20 = 349/20
Make 349/20 into a mixed fraction
17 9/20
If two angles are supplementary, then they are not congruent. Which diagram provides a counterexample for the statement?
A) A
B) B
C) C
D) D
Answers
Answer:
a
Step-by-step explanation:
supplmentay angles are either of two angles whose sum is 180°
option b is two right angles (90 degree on both) add them together you get 180.
option c is 60 degrees and 120 degrees add them together to get 180 degrees.
option d is 155 degrees and add 25 degrees you get 180.
so the answer is a, because 30 degrees and add the other 30 degrees together you only get 60
The correct answer is A, because 30 degrees and add the other 30 degrees together you only get 60.
What are supplementary angles?The supplementary angles are defined as the angles whose sum is equal to 180°.
Supplementary angles are either of two angles whose sum is 180°
Option b is two right angles (90 degrees on both) add them together you get 180.
Option c is 60 degrees and 120 degrees add them together to get 180 degrees.
Option d is 155 degrees and add 25 degrees you get 180.
Therefore, the answer is A, because 30 degrees and adding the other 30 degrees together you only get 60.
To know more about supplementary angles follow
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Find the equation of the axis of symmetry of the following parabola algebraically.
y=-3x^2-6
y=−3x
2
−6
Answers
y=-3x^2-6
y=−9x-6
Find h. (system of equations)
Answers
Step-by-step explanation:
xtan45° = (x+600)tan30°
x(tan45°-tan30°) = 600tan30°
x = 819.62m.
Therefore h = xtan45° = x = 819.62m.
plzzz help answer tyhese
Answers
The slope is m=2 in the first picture. Can be done by rise/run.
The second graph has an undefined slope. Using rise/run would get the run value = 0 and that'd make the slope undefined because the denominator cannot be 0.
I need help plzzzzzzzzz
Answers
How many 8-song play lists contain no songs by One Direction? Suppose Janine decides to let her iPod select an 8-song play list at random.
Answers
Answer:
Step-by-step explanation:
anyone question 8 pleaseeeeeeeeeee
Answers
Answer:
$200 and $450
Step-by-step explanation:
We can start by assigning variables to our unknowns.
Our unknowns are the price for a DVD player and the price for a television.
x= price of a television
y= price of a DVD player
Next, let's translate the given information into a system of equations.
two televisions and three DVD players for $1750
2x+3y=1750
four televisions and one DVD player for $1250
4x+y=1250
Since the instructions did not specify, I will use substitution to solve, however you can also use elimination.
First, from the second equation, we subtract 4x from both sides.
4x+y-4x=1250-4x
y=1250-4x
Now we plug 1250-4x for y in the first equation.
2x+3y=1750
2x+3(1250-4x)=1750
Distribute.
2x+3*1250-3*4x=1750
Simplify.
2x+3750-12x=1750
Combine like terms.
-10x+3750=1750
Subtract 3750 from both sides
-10x+3750-3750=1750-3750
-10x=-2000
Divide both sides by -10
x=200
A television costs $200.
Now using that, we can plug that into one of the original equations. I'll use the second one.
4x+y=1250
4(200)+y=1250
800+y=1250
Subtract 800 from both sides.
y=450
A DVD player costs $450
You can plug those values back into the other equation (the first one) to double-check if you'd like as well.
6x+4y=42 -3x+3y=-6 by elimination
Answers
Answer:
x=5, y=2
Step-by-step explanation:
To solve this system, we need to find x and y. First, let's find x. In the first equation (6x+4y=42), subtract 4y on both sides to isolate 6x. This will result in 6x=42-4y. Divide by 6 on both sides to isolate x and get x=7-[tex]\frac{2}{3}[/tex]y. Now we know what x equals. Go to the second equation ad plug this into it. So instead of -3x+3y=-6, you'll have -3(7-[tex]\frac{2}{3}[/tex]y)+3y=-6. Use the distributive property to get -21+2y+3y=-6. Add 2y and 3y to get -21+5y=-6. Add 21 to both sides to isolate 5y and get 5y=15. Divide by 5 on both sides to isolate y and get y=3. Now that we know that y=3, we can plug this back into the equation that was bolded above so that we can find x, so we'll have x=7-[tex]\frac{2}{3}[/tex](3) since y=3, and we'll get x=7-[tex]\frac{6}{3}[/tex], or x=7-2, or x=5.
x=5
y=2
Answer: (5, 3)
Step-by-step explanation:
Solve by Addition/Elimination
6x + 4y = 42 −3x + 3y = −6
Multiply each equation by the value that makes the coefficients of x opposite.
6x + 4y = 42
(2) ⋅ (−3x + 3y) = (2) (−6)
Simplify (2) ⋅ (−3x + 3y).
6x + 4y = 42
−6x + 6y = (2) (−6)
Multiply 2 by −6. 6x + 4y = 42
−6x + 6y = −12
Add the two equations together to e liminate x from the system.
6x + 4y = 42
±6x + 6y = −12
1 0y= 30
Divide each term in 10y = 30 by 10.
10y = 30
10 10
Cancel the common factor of 10.
y = 30/10
Divide 30 by 10.
y = 3
Substitute the value found for y into one of the original equations, then solve for x.
Substitute the value found for y into one of the original equations to solve for x. 6x + 4 (3) = 42
Multiply 4 by 3.
6x + 12 = 42
Move all terms not containing x to the right side of the equation.
6x = 30
Divide each term by 6 and simplify.
x = 5
The solution to the independent system of equations can be represented as a point.
(5, 3)
The result can be shown in multiple forms.
Point Form:
(5, 3)
Equation Form:
x = 5, y = 3
What was the range of the snowfall in Denver?
7.6 inches
9.2 inches
4.8 inches
5.4 inches
10 points pleas do not answer if u do not know
Answers
Answer:
9.2 but I am not sure because it shows that 8.5 so yeah
Step-by-step explanation:
HOPE THIS HELPS
==============================================================
Explanation:
Check out the diagram below
In that diagram, I've marked the highest and lowest bars with red ink.
max = 8.4 inchesmin = 0.8 inchesThe range is simply the difference of the highest and lowest values
So,
range = max - min
range = 8.4 - 0.8
range = 7.6
The answer is choice A.
3. The number of years that Brad has been on the soccer team is 2 less than 5 times the number
of years that Scott has. In total, the boys have been on the soccer team for 10 years. How long
has Brad been on the soccer team?
Answers
Answer:
Answer: Brad has been in the team for 8 years. Trust i got it right on the test
Step-by-step explanation:
Give the domain and range of the relation. Indicate whether the relation is a function or not.
D: {0, 1, 2, 3}
R: {−3, −2, 2, 5}
The relation is a function.
D: {−3, −2, 2, 5}
R: {0, 1, 2, 3}
The relation is a function.
D: {0, 1, 2, 3}
R: {−3, −2, 2, 5}
The relation is not a function.
D: {−3, −2, 2, 5}
R: {0, 1, 2, 3}
The relation is not a function.
Answers
D: {0, 1, 2, 3}
R: {−3, −2, 2, 5}
The relation is a function.
That's the answer.
