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.
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Related Questions
if the jumping price is 18.50 per hour and the fee for socks is 3.25 what is the total cost in dollars for the 5 friends to jump for 1 hour the total cost is
Answers
Answer: $108.75
Step-by-step explanation: 18.50+3.25=21.75 Per Person 21.75x5=108.75
PLZ HELP ME 30 POINTS TROLLERS WILL BE REPORTED
Answers
Answer:
56.25 B (haha troll go brrr)
Step-by-step explanation:
the ratio of the triangle measurements are:
60/45=75/x
60x=3375
x=56.25, therefore the distance of the new bridge is 56.25
Is anyone good at writing? If you are plz help me with the question below.
How would you describe Betty's actions during the black blizzard? What does it reveal about Betty? This has to be 1 paragraph or less.
Answers
Answer:
Could you add a photo of the story being referred to the question? That would help
Step-by-step explanation:
Answer:
Betty was courageous and fearless in rescuing the colt, Fancifoot from the dust storm and in calming little Mary Ann. She cared less if you would be injured or blown away by the dust storm. Her actions revealed her love and care for the colt It also revealed her courage, determination, fearlessness and care.
Step-by-step explanation:
Maurine V. Elder, in this short story reveals the experiences of people who lived through the Dust Bowl. The Dust Bowl is a period of intense dust storms which occurred during the 1930s in parts of Kansas, Oklahoma, Colorado and other neighboring states. The dust storms is usually called the "black blizzard" In this short story, Elder explores the experience of Betty and Mary during the dust storm while their parents were away. Elder revealed Betty's actions as she took charge of the situation.
3/4g=-12
solve and if you can explain the process bc I have no clue what I'm doing
Answers
Answer:
-16
Step-by-step explanation:
3/4 = 0.75
0.75 x -16 = -12
I WILL GIVE BRAINLIEST IF CORRECT The area of a square is 49 square centimeters. Find the length of a side. Find the length of the
diagonal
Answers
Answer: 7
Step-by-step explanation:
Since squares have the same side lengths
then you need to find a number that multiplies twice that equals 49
7*7 = 49
Answer: Length of a side: 7 / Length of the diagonal: 9.9
Explanation:
Just square root 49, so it becomes 7. That's the side length. In order, to find the diagonal of the square, just use Pythagorean Theorem, a^2+b^2=c^2. Because it's a quadrilateral, all of the sides should equal 7. a^2 would be 7 and b^2 would be 7. 49+49=98. Square root 98 and you would get 9.899... That would be estimated to 9.9.
At the movie theater all snacks and all movie tickets are priced the same. Four snacks and three movie tickets cost $40. Two snacks and three movie tickets are $32. What is the cost of a snack and movie ticket?
Write a systems that could be used to solve this problem. Let x = the cost of a snack in dollars and let y = the cost of a movie ticket.
Answers
We know that four snacks and three movie tickets cost $40 dollars, and when you take away 2 snacks but still keep the tickets, its $32.
2 snacks= $8
What i did to find the cost of each ticket is I divided 8 by 2 (8/2) and ended getting $4
1 snack= $4
Now to find the cost of each ticket, i divided 2 snacks ($8) and got this equation:
32 - 8= 24
3 tickets= $24
Now to find the amount for each ticket, i divided 24 by 3 (24/3) and got the answer:
1 ticket= $8
Therefore, snacks are $4 and movie tickets are $8
x tickets= 8x
x snacks= 4x
Thank you! Btw can i please get brainly :3
The table shows a ratio used to make orange paint. Using the table, how many quarts of yellow paint would be required to make this shade of orange if you used 9 quarts of red paint?
Answers
Answer:
7.5
Step-by-step explanation:
To make orange-shaded paint if we use 9 quarts of red paint we need 7.5 quarts of yellow paint.
What are ratio and proportion?A ratio is a comparison between two similar quantities in simplest form.
Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
Given to make an orange shade paint 5 quarts of yellow paint and 6 quarts of red paint are needed.
Assuming the no. of yellow paint needed is x when 9 quarts of red paint is used.
As they are in direct proportion we can write
5 : 6 : : x : 9.
5/6 = x/9.
6x = 45.
x = 7.5.
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PLEASE HELP ME!!!!! NEED HELP ASAP!!!!!
Answers
PLZ HELP I NEED THE ANSWER
Answers
Answer:
D I belive
Step-by-step explanation:
Answer:
i think its a
Step-by-step explanation:
Remember the question that you helped me with?
can you tell me how I can show my work and get the answer
Because I need to show my work on those two problems
Can you guys also show your work to be and tell me how you guys got the answer because I need to show my work
Answers
Answer:
13. 23 boat rides; 22 are full, and the first one has 301 passengers.
12. $11,067.50
Step-by-step explanation:
13,105 people in a day, divided by 582 per ride.
13,105/582 = 22 (with a remainder)
582 x 22 = 12,804
So, the remainder is
13,105 - 12,804 = 301
23 rides, with 22 full and the first one having 301 people.
----------------------------------------------------------------------------------------------
There are 879,575 tickets sold across 755 theatres. Per theatre,
879,755 / 755 = 1,165 tickets per theatre
1,165 x $9.50 = $11,067.50 per theatre.
10+(−3.5)×2+(−9)÷(−3)
Answers
Answer:
6
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
10 + (-3.5) × 2 + (-9) ÷ (-3)
Step 2: Evaluate
Multiply: 10 - 7 + (-9) ÷ (-3)Divide: 10 - 7 + 3Subtract: 3 + 3Add: 6Consider the polynomial function p(x)= -9x^9 +6x^6 -3x^3 +1.
What is the end behavior of the graph of p?
Answers
Answer:
The end behavior of the graph of p is:
f(x) → ∞ as x → -∞ and f(x) → -∞ as x → ∞
Step-by-step explanation:
Given the polynomial function
[tex]p\left(x\right)=\:-9x^9\:+6x^6\:-3x^3\:+1[/tex]
Since the leading term of the polynomial (the term in a polynomial that contains the highest power of the variable) is -9x⁹, then the degree is 9 i.e. odd, and the leading coefficient is -9, i.e. negative.
This means that f(x) → ∞ as x → -∞ and f(x) → -∞ as x → ∞
The graph is also attached below.
Thus, the end behavior of the graph of p is:
f(x) → ∞ as x → -∞ and f(x) → -∞ as x → ∞
Answer: B
Step-by-step explanation:
If it’s for khan
A bag of coins contains only quarters and dimes. The number of dimes in the bag can be represented by x. The number of quarters is 6 more than twice the number of dimes. There are a total of 276 coins in the bag. What is x, the number of dimes in the bag?
Answers
Answer:
There are 90 coins in the bag.
Step-by-step explanation:
Let [tex]x[/tex], [tex]y[/tex] the number of dimes and quarters. Now we proceed to translate each relevant sentence into mathematical expressions:
(i) The number of quarters is 6 more than twice the number of dimes:
[tex]y = 2\cdot x + 6[/tex] (1)
(ii) There are a total of 276 coins in the bag:
[tex]x + y = 276[/tex] (2)
By applying (1) in (2), we find that the number of dimes is:
[tex]x+2\cdot x + 6 = 276[/tex]
[tex]3\cdot x = 270[/tex]
[tex]x = 90[/tex]
There are 90 coins in the bag.
2 - (7/8 - 3/4) what is the answer
Answers
Answer: hjhgxxhjhg
Step-by-step explanation:
9x + 6 – 4x – 1x + 1 – 10
Answers
Answer:
4x-3
Step-by-step explanation:
9x+6-4x-1x+1-10
9x-4x-1x+7-10
5x-1x+7-10
4x-3
the library labels each book with five digit code to identify the books in their computer system each code is 3 digits(0-9)followed by two letters how many codes are possible
Answers
Answer:
676000
Step-by-step explanation:
3 digits of the 5-digit code are number 0-9 which is 10 numbers that could go into that spot, after the three digits there are two letters and because there are 26 letters in the alphabet you would multiply 10*10*10*26*26 which equals 676000
I WILL GIVE BRAINLIEST IF SOMEONE GET THIS.......
The ratio of John's earning to Musa's earning is 5:3. If Johns earning increases by 12% his new figure becomes 5,600. Find the corresponding percentage change in musa's earning if the sum of their new earning is 9,800.
Answers
Answer:
37.6%
Step-by-step explanation:
You can use find John's original earnings by taking 12% off of 5600. You can do this by doing 0.78 x 5600, and you get 4368.
Now, we can use John's orignal earning to find Musa's original earning. Knowing that their earning's correspond, you can use the proportion 5/3 = 5600/x. You can use cross products to solve:
4368 x 3 = 5x
13104 = 5x
2620.8 = x
Musa's original earnings was 2620.8.
If the sum of their new earnings is 9800, we can take of John's new earnings to find Musa's new earnings. 9800 - 5600= 4200. That means Musa's new earnings were 4200. To find the percentage, we can use the following equation, and then solve:
2620.8 = 4200x
.624 = x
That means that 2620.8 is 62.4% of 4200, and that it increased by 37.6%.
Hope t helps! Have a great day! Sorry it took so long.... I was trying to give a good answer :)PLS HELP!!
What values of u and v make triangle XYZ = Triangle GFH
Answers
Answers:
u = 18
v = 20
========================================================
Work Shown:
The leg YZ is congruent to the left FH
This means YZ = FH and that leads to u+v-18 = 10u-8v
The hypotenuse ZX is congruent to the hypotenuse HG
This means ZX = HG and we get the equation 14v-14u+32 = v+u+22
----------------------
The system of equations we have so far is
u+v-18 = 10u-8v
14v-14u+32 = v+u+22
Let's get the equations into standard form
Start with the first equation
u+v-18 = 10u-8v
u+v = 10u-8v+18
u+v-10u+8v = 18
-9u+9v = 18
-9(u-v) = 18
u-v = 18/(-9)
u-v = -2
Note how we can solve for the variable u to get
u = v-2
which we'll use later
----------------------
Let's get the other equation into standard form as well
14v-14u+32 = v+u+22
14v-14u-v-u = 22-32
-15u+13v = -10
Now plug in u = v-2 and solve for v
-15u+13v = -10
-15(v-2) + 13v = -10
-15v+30+13v = -10
-2v+30 = -10
-2v = -10-30
-2v = -40
v = -40/(-2)
v = 20
Which means,
u = v-2
u = 20-2
u = 18
9+2(3^2)
please help
Answers
Answer:
The answer is 27.
Step-by-step explanation:
9+2(3^2)
=9+18
=27
Answer:
27
Step-by-step explanation:
9 + 2(3²) = 9 + 2 * 9
= 9 + 18
= 27
Does (–3, 9) make the equation y = –3x true?
Answers
Answer:
Yes, (-3,9) makes the equation of y = -3x true
Step-by-step explanation:
y = -3x (-3,9)
9 = -3(-3)
9 = 9
TRUE
Answer:
Move convo here
Step-by-step explanation:
18 = 5p + 3 NEED HELP ASAP
Answers
Answer:
[tex]p=3[/tex]
Step-by-step explanation:
[tex]5p+3=18\\5p=15\\p=3[/tex]
Hope this helps plz hit the crown :D
Answer:
Are you solving for p , because if you are p = 3
Step-by-step explanation:
18 = 5p + 3
Subtract 3 from both sides
15 = 5p
Divide by 5 in both sides
p = 3
Find the solution(s) for x in the equation below.
x^2 - 25 = 0
A. x = -5
B. no solutions
C. x = 5
D. x = 5; x = -5
Answers
Answer:
D) x=5, x=-5.
Step-by-step explanation:
x^2-25=0
factor
(x+5)(x-5)=0
x+5=0, x-5=0,
x=0-5=-5,
x=0+5=5.
Giving brainliest 10 points! Please help me with this question
Answers
Answer:
(0,-23)
Step-by-step explanation:
Please HELP
Which statement is true ??
Answers
Answer:
the answer is d(<a=<b)
Step-by-step explanation:
because alternate interior angles are equal
8. A right triangle has an angle
measure of 52.40. What is the
value of x, the missing angle?
Answers
Answer:
The missing angle is 37.60 degrees.
Step-by-step explanation: 180-90-52.40=37.60
*PLS HELP ME ASAP 100 POINTS* There are 49 servings in a box of cereal. Each serving size is 1/7 of a cup of cereal. If one person eats 1 cup and another person eats 4 cups, how many cups are left in the box of cereal?
Answers
Answer:
2 cups left
Step-by-step explanation:
Helpp mee please It says Find base and height on a triangle?
Answers
Answer:
just mesuere it
Step-by-step explanation:
do it mesure it
You and your friend walk to school together every day. You meet at the halfway point between your houses first and then walk to school. Each unit in the coordinate plane corresponds to 50 yards. A) What are the coordinates of the midpoint of the line segment joining the two houses? B) What is the distance that the two of you walk together?
Please show the steps
Answers
Answer:
no se
Step-by-step explanation:
The coordinate of the midpoint joining the two houses, since each unit on the coordinate is 50 units is (150, 250) and the distance walked to school is 254.95 yards
From the graph given :
The x - coordinate of the midpoint is 3 units from the origin = (3 × 50) = 150 yards
The y-coordinate of the midpoint is 5 units from the origin = (5 × 50) = 250 yards
Hence, the coordinate of the midpoint is (150, 250)
The distance walked to school :
Distance = √(y2 - y1)² + (x2 - x1)²
Distance = √(400 - 150)² + (300 - 250)²
Distance = √250² + 50²
Distance = 254.95 yards
Therefore, the distance the boys walk to school is 254.95 yards.
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Select the correct description for the expression x+3/5
A. The quotient of a sum and a number
B. The quotient of a difference and a number
C. The product of a number and a sum
D. The product of a number and a difference
Answers
Answer:
the answer is A that's the answer
Which expression is equivalent to StartRoot negative 108 EndRoot minus StartRoot negative 3 EndRoot?
5 StartRoot 3 EndRoot i
6 StartRoot 3 EndRoot i
7 StartRoot 3 EndRoot i
8 StartRoot 3 EndRoot i
Answers
(4√5)i
Step-by-step explanation:
Complex number is a number in the form a + bi, where both a and b are real numbers. A complex number has two parts, the first part a is the real part of the complex number and the second part b is the imaginary part of the complex number. Also, i = √(-1), hence i² = -1.
Complex numbers can also be graphed on the complex plane.
√(-80) = √(-1) × √(80)
But since √(-1) = i
√(-80) = i × √80 = i × √16 × √5 = i × 4 × √5 = (4√5)i
√(-80) = (4√5)i
Answer:
A
Step-by-step explanation:
edge 2020