Answer:
yes
Step-by-step explanation:
ok thus is a help for help tho
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 ;-;
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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Pls help me asap!!!!
Answer:b
Step-by-step explanation:y=2x-3
It’s percentage need help
Answer:
Last week, she earned a total of $702 last week in commission.
Step-by-step explanation:
To solve this, we first need to find 13% of $5,400.
5,400 x 0.13 = 702
Therefore, Nadia earned a total of $702 last week in commission.
Now, we need to calculate how much money she'll earn in a whole year. So, let's see how many weeks are in a year.
1 year = 52 weeks when rounded to the nearest whole number
702 x 52 = $36,504
Therefore, Nadia earned a total of $36,504 in commission in 2011.
Hope this helps! :D
Consider these functions:
f(x) = 2x3 + 3
g(x) = x – 4
What is the value of g(f(x))?
Answer:
2x^3+3-4
Step-by-step explanation:
Answer:
2x^3 - 1
Step-by-step explanation:
Plato/Edmentum
what does this equal 50+80
also, what is 50+80
Answer: 50+80=130
I wasn’t really sure of what you were really asking, apologies.
Answer:
130 is your answer!
Step-by-step explanation:
50 + 80 can be put as 5 + 8 = 13 and then add a 0. You will get 130!
Find the sum. (w+8) + 2(w +9)
1
A percent of change is the ratio of the amount of change to the original amount.
Answer:
I believe this would be true
Step-by-step explanation:
Whats the absolute value of 3 1/7
Answer:
3.142857 (3.14)
Step-by-step explanation:
5(x – 3) > 7x + 2
what is the value of x?
Answer:
If I am not mistaken the answer is x<-27/2.
Chandra bowled five games. Her scores were 89, 97, 112, 104, and 113. What is her mean score for the five games?
need help with algebra
Which expression is equivalent to 4(7 + 8)?
Answer:
28+32
Step-by-step explanation:
4(7+8)
= (4*7)+(4*8)
= 28+32
Write an equation of the line passing through point (7,3) that is parallel to line 4x-7y=9
Answer:
y= 4/7x -1
Step-by-step explanation:
solve for y first in 4x-7y=9, which becomes y = 4/7x - 9/7, then since its a parallel line the slope stays the same which is 4/7. Then plug into this equation: y =mx+b, in which you plug in the point for the x and y values and you plug in the slope for m, so the equation becomes, 3 = (7)(4/7) + b and now solve for b in which b = -1 and now write the equation using all the corresponding things so the equation becomes: y= 4/7x -1
Find the slope of the line that passes through (5,2) and (9,6).
Answer:
1
Step-by-step explanation:
slope m=y2-y1/X2-x1
=6-2/9-5
=4/4= 1
Problem Sathish is going on a 210021002100-kilometer road trip with 222 friends, whom he will pick up 150150150 kilometers after he begins the trip and drop off when there are 150150150 kilometers remaining. The car consumes 666 liters of gas for every 100100100 kilometers, and gas costs \$1.20$1.20dollar sign, 1, point, 20 per liter. Sathish will pay for all of the gas when he is alone in the car, but he and his friends will split the cost evenly when they are together.
Complete question :
Sathish is going on a 2100-kilometer road trip with 2 friends, whom he will pick up 150 kilometers after he begins the trip and drop off when there are 150 kilometer remaining. The car consumes 6 liters of gas for every 100 kilometers, and gas costs $1.20 per liter.
Sathish will pay for all of the gas when he is alone in the car, but he and his friends will split the cost evenly when they are together.
How much will Sathish pay for gas?
Answer:
$64.8
Step-by-step explanation:
Given that :
Total length of trip = 2100 km
Length of journey with Satish alone in the car:
(150km) beginning + (150km) ending = 300km
Length of journey with Satish and 2 friends :
2100 km - 300 km = 1800 km
Gas consumption:
6 liters per 100km
Cost of gas = $1.2 / litre
Consumption when Satish is alone :
(6 litres /100 km) * 300km = 18 litres
Cost = $1.2 * 18 = $21.6
Consumption with his 2 friends :
(6 litres /100 km) * 1800 km = 10800 / 100 = 108 litres
Cost = $1.2 * 108 = $129.6
Since amount is shared equally :
Amount paid by sattish = $129.6 / 3 = $43.2
Hence, total amount paid by Sattish is :
$21.6 + $43.2
= $64.8
Answer:
64.80 or 64.8
Step-by-step explanation:
whatever works <333
solve for X !
answer quickly please
please help me with this question
Answer:
First question is 109
Second question is 45, but I guess it's a typo with 145.
What is the slope of a line passing through (4, 3) and (3,1) ?
Answer:
[tex]m=2[/tex]
Step-by-step explanation:
Because Kendall's business spent more money than it collected, the business's balance sheet showed a balance of -$1,280$ at the end of the month. The next day, Kendall's business spent $560 on new tools. Part A Kendall determines that the new balance is -$720 because 1,280 + 560 = -720 . Did Kendall correctly determine the new balance? Explain why or why not. If not, calculate the new balance. Respond in the space provided.
Answer: No. Kendall did not correctly determine the new balance. The new balance is -$1840.
Step-by-step explanation:
From the question, we are informed that Kendall's business spent more money than it collected, and therefore the business's balance sheet showed a balance of -$1,280 at the end of the month. We are informed that the next day, Kendall's business spent $560 on new tools.
Therefore, since Kendall made a purchase, this is an expense and we have to subtract it from the previous balance. This will be:
= -$1280 - $560
= - $1840
The new balance is -$1840
Answer:
She is not correct. The correct answer should be -$1840
Step-by-step explanation:
Explanation: Kendal is ultimately wrong, because in his step in adding the $560 spent on new tools, she had added a positive number, which meant they deposited money to go out of debt. Instead he was supposed to subtract the $560, or even add -$560 to the businesses balance. If calculated correctly, by subtracting $560 to the current balance, it would get us to -$1840.
The radius of a circle is 4.53 in. What is the length of the circumference of the circle?
Answer:
28.4484
Step-by-step explanation:
Answer:
28.46
Step-by-step explanation:
Use this equation: 2 π r
Look at the picture!!! Which of the following set of coordinate points are ALL solutions to the given system of inequalities? (0, 3); (1, 0); (0, 2) (2, 0); (0, 2); (0, 1) CO, OD: (0, -D: (-1, 0)
Answer:
soo whats the question
please repost question without this drawings
In the figure above, AB = AD, BC = CD, BE = 2, BC = 4, and AC = 10. What is the area of triangle ABD?
The properties of items in a question can be used to simplify the solution to the questions
The area of triangle ΔABD is 20 - 4·√3
The reason the above value for the area of ΔABD is correct is as follows:
The given parameters are;
AB = AD, BC = CD, BE = 2, BC = 4, AC = 10
Given that AB = AD, and BC = CD, we have that the figure ABCD is a kite
∴ AC is perpendicular to BD by properties of the diagonals of a kite
ΔBCE is a right triangle
By Pythagoras' theorem, [tex]\overline{CE}[/tex]² = [tex]\overline{BC}[/tex]² - [tex]\overline{BE}[/tex]²
Which gives;
[tex]\overline{CE}[/tex]² = 4² - 2² = 12
[tex]\overline{CE}[/tex] = 2·√3
Given that AC is the perpendicular bisector of BD, by the properties of a kite, we have;
BD = BE + DE, where BE = DE definition of bisected line
∴ BD = BE + BE = 2·BE
Area of a triangle = (1/2) × Base length × Height
AE = The altitude (height) of the ΔABD = AC - CE
∴ AE = 10 - 2·√3
BD = The base length of ΔABD = 2·BE (Length of BE = 2)
∴ BD = 2 × 2 = 4
The area of triangle ΔABD = (1/2) × BD × AE
∴ The area of triangle ΔABD = (1/2) × 4 × (10 - 2·√3) = 20 - 4·√3
The area of triangle ΔABD = 20 - 4·√3
Learn more about the properties of a kite here:
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Which statement is true about this quadratic equation? y=-2x^2+9x-12 A. There are two real solutions. B. There is one complex solution. C. There are two complex solutions. D. There is one real solution.
A quadratic equation is an equation that can be placed in the form a·x² + b·x + c = 0
The option that gives the true statement about the quadratic equation is option C.
C. There are two complex solutions
Reason:
The given quadratic equation can be presented as follows;
y = -2·x² + 9·x - 12
The factored form of the quadratic equation is presented as follows;
The radical of the given quadratic equation is therefore;
[tex]\sqrt{9^2 - 4 \times (-2) \times (-12)} = \sqrt{81 - 96} = \sqrt{-15}[/tex], which gives the following solutions;
[tex]x = \dfrac{(-9\pm\sqrt{-15} )}{2 \times (-2)} = \dfrac{-9 \pm \sqrt{-15} }{-4}[/tex]
[tex]x = \dfrac{-9 +\sqrt{-15} }{-4} \ or \ x = \dfrac{-9 -\sqrt{-15} }{-4}[/tex]
Therefore there are two complex solutions;
Learn more about quadratic equations here:
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Answer:
the answer is c
Step-by-step explanation:
There are two complex solutions.
what is the x and y intercepts using this equation?
2y + 6 = 0
Answer:
x is 2 and 6 is y
Step-by-step explanation:
SOMEONE PLEASE HELP WILL MArk BRAINLIEST ‼️‼️
Answer:
y=3x+2
Step-by-step explanation:
Will give brinley crown thing! :)
Is x = 4 the correct solution to the equation 2x - 8 = 12 - 4x ? Explain your reasoning using a complete
sentence.
Answer:
x = 10/3
Step-by-step explanation:
Hey guys happy holidays! any help is appreciated :)
Answer:
That is definitely C
happy holidays to you too
help plss i will mark brainliest
Answer:
x = 8
Step-by-step explanation:
10 x 8 = 80 and the bottom would equal 80 as well so you would get 1 ^^
Answer:
x =25/2
10/8 = x/10
- Cross multiply
8x=100
- Divide both sides by 8
x=100/8
- Simplify
x=25/2
Hope This Helps!
What is the domain of the given relation?
{(1, 3), (0, 4), (2, 1);
А
{1,3,4}
B
{0, 1, 3}
с
{1, 2,4
D
{0, 1, 2}
Answer:
[tex]\{0,1,2\}[/tex]
Step-by-step explanation:
Given:
[tex]\{(1, 3), (0, 4), (2, 1)\}[/tex]
Required
Determine the domain
A relation is represented as: [tex]\{(x_1, y_1), (x_2, y_2), (x_3, y_3).....(x_n,y_n)\}[/tex]
Where:
[tex]\{x_1,x_2,x_3.....x_n\}[/tex] are the domain of the relation
So, by comparison:
[tex]\{1,0,2\}[/tex] or [tex]\{0,1,2\}[/tex] represents the domain
Jordan has traveled 255 miles out of 340 miles on a trip. What percent of the total distance has he traveled?
A. 73%
B. 82%
C.75%
D. 70%