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.
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Which similarity statements are true? Check all that
apply.
AJKL - AKML
AJKM – AJKL
ΔJKM - ΔKML
Ο ΔJMK - ΔJKL
Ο ΔJMK - ΔKML
Answer:A, D, E
Step-by-step explanation:
ΔJKL and ΔJKM are similar triangles and ΔJKL and ΔKML are similar triangles. Therefore, options A and B are the correct answers.
What are similar triangles?Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.
From the given figure, ΔJKL, ΔJKM and ΔKML are right angle triangles.
Now, consider ΔJKL and ΔJKM
∠JMK=∠JKL (Measure of angle is equal to 90°)
∠KJM=∠KJL (Reflexive property)
ΔJKL and ΔJKM are similar triangles
Consider ΔJKL and ΔKML
∠KML=∠JKL (Measure of angle is equal to 90°)
∠JLK=∠MLK (Reflexive property)
ΔJKL and ΔKML are similar triangles
Therefore, options A and B are the correct answers.
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An online store that sells baseballs and bats offers free shipping on any order of $20 or more. The baseballs cost $1 each and the bats
cost $8 each. The inequality below shows the number of baseballs, 2, and bats, y, that a person can buy to get free shipping.
x+8y > 20
Which of the following ordered pairs are solutions to this inequality? Select all that apply.
Answer:
What are the answers?
Step-by-step explanation:
Sas a ribbon that is 5/6 yard long. She cuts off 3/5 of that ribbon and uses it to tie her hair back. She gives the rest to her sister. How much of the original ribbon did she give to her sister?
Answer:
7/30
Step-by-step explanation:
5/6 = 25/30 3/5 = 18/30
25/30 - 18/30 = 7/30
Sas gives 7/30 of the ribbon to her sister.
Hope this helps! :3
I really need this done today please help PLEAASSSEEE
Answer:
A and C
Step-by-step explanation:
Answer:
If I am correct, the answer is A, C
Step-by-step explanation:
4.3x - 6 = 8 + 2.3x*
Answer:
[tex]x = 7[/tex]
Step-by-step explanation:
Follow the following steps
[tex]4.3x - 6 = 2.3x + 8 \\ - 2.3x \: \: \: \: \: \: \: \: \: - 2.3x \\ 2x - 6 = 8 \\ + 6 \: \: \: \: + 6 \\ 2x = 14 \\ \div 2 \: \: \div 2 \\ x = 7[/tex]
In parallelogram ABCD above, AE =2x+4 and AC=6x. What is the length of CE?
Answer:
4-4x
Step-by-step explanation:
From the parallelogram
CE = CA+AE
Since CA = -AC
CE = -AC+AE
GIVEN
AC = 6x
AE= 2x+4
Substitute
CE = -6x+2x+4.
CE = -4x+4
Gene the length of CE is 4-4x
is 12n+20 equivalent
Answer:
32
Step-by-step explanation:
can't find N
Bao can eat 12 chicken wings in 3 minutes.She can eat chicken wings at a constant rate.how many chicken wings can bao eat in 12 minutes
Answer:
12
Step-by-step explanation:
12 divided by 3 = 4
4x3= 12
Answer:
48
Step-by-step explanation:
12 divided by 3 equals 4
so then I multiplied 12 x 4 to get 48
9: The perimeter of a rectangle is 46 m. The width of the rectangle is 2 more than half the length. Find the length and the width of the rectangle.
Answer:
our width is 9 and our length is 14
Step-by-step explanation:
Put the following equation of a line into slope-intercept form, simplifying all fractions. x+y= x+y= \,\,-4 −4
Which one should I choose
Answer: 9
Step-by-step explanation:
Since x=2 that means there should be 2 3s being multiplied since it’s 3 to the second power. So 3x3 which equals 9. If this answer helped please mark it brainliest!
Answer:
the last option, 9
Step-by-step explanation:
if x=2 then you would just plug x into the equation to get:
y=3^2 or 3 squared and that's just:
3x3 which is
9
So your answer would be 9
I hope this helps! blessings, have a lovely day/night, xo, nm :) <3
15 + 4x = 12 + x nm jjk kj k j jk kj k kj kjkj
Answer:
x = −1
Step-by-step explanation:
Answer:
x = -1
Step-by-step explanation:
Original Equation:
15 + 4x = 12 + x
Subtract x from both sides
15 + 3x = 12
Subtract 15 from both sides
3x = -3
Divide both sides by 3
x = -1
Hope this helps :)
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A student has a container with the volume 1.5 liters. She estimates the volume to be 1.2 liters. By what percent is the student's estimate off? I don't need a step-by-step explanation, I just want the right answer.
Answer:
20%.
1.2/1.5 = 0.8
0.8*100 = 80%
100%-80% = 20%.
We can verify this:
1.5-20% = 1.2.
Answer: 20%
Step-by-step explanation:
What is the answer to this equation -14=d/15
Answer:
d=-210
Step-by-step explanation:
multiply 15 to both sides
-14*15 =-210
the 15 on the side with d cancels
Now you have d=-210
Hope this helps!
X/4+ 2 = 6 need answer ASAP
Answer:
16=x becuase 16/4 also =4 and 4+2=6 may i have brainliest plzz
Step-by-step explanation:
i
same question again. ugh
Answer:
-3
Step-by-step explanation:
the slope is -3 because it goes down 3 y for every 1 forward on x
Answer:
[tex]m=-3[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula (Rate of Change): [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (1, -3)
Point (-1, 3)
Step 2: Find slope m
Substitute: [tex]m=\frac{3+3}{-1-1}[/tex]Add/Subtract: [tex]m=\frac{6}{-2}[/tex]Divide: [tex]m=-3[/tex]PLEASE HELP WILL GIVE BRAINLEST
=√40 = 6.32455 ≈ 6.3
Answer: B ) 6.3
help please im so confused
Answer:
well figure it out
Step-by-step explanation:
Which number is divisible by six and nine?
24 35 168 288 992
Answer:
288 !
Step-by-step explanation:
Whats the absolute value of 5/6?
Answer:
the absolute value of 5/6 is 5/6
Step-by-step explanation:
absolute value is just the distance from zero on a number line, so it just makes whatever number under the | x | the same number but positive.
Answer:
5/6 is the same you dont change it unless its negative
Step-by-step explanation:
If the fraction is positive, it is its own absolute value. If the fraction is negative, remove the negative sign. That is the absolute value. In other words, the absolute value of 1/7 is 1/7, and the absolute value of -5/8 is 5/8.
HOPE THIS HELPS HAVE A NICE DAY .............:...:..........
..............U............
Mollie watches a film that lasts 130 min it begins at 6:15 pm. What time did it end?
through: (3, 5) parallel to y=3x-1
Answer: y = 3x - 4 will be the parallel line to the line y= 3x -1
Step-by-step explanation:
Parallel lines have the same slope but different y intercepts, so using the equation given , use the formula y=mx +b where m is the slope and b is the
y - intercept ,and input the x and y coordinate to solve for b. Input the same slope into the formula because they will have the same slope.
5= 3(3) + b
5 = 9 + b
-9 -9
b = -4
Since the y intercept is negative 4, the equation will be y = 3x -4
15 PONITS PLS HELP ME
Answer:
a=4 b=5
Step-by-step explanation:
Answer:
a=4 b=5
Step-by-step explanation:
Autumn spent $32 of the $50 in her wallet. Which decimal represents the fraction of the $50 Autumn spent? please answer soon it's midnight and i need sleep
Answer:
0.64, she spent 64% of her money.
Step-by-step explanation:
A scientist finds that an intial bacteria count was 24 million and 4 hours later, the count was up to 99
million. Write an exponential equation of the form y = abt for this scenario. Round b to four decimal
places.
y =
Help pls thank you!!!
Answer:
I think its 8 but I'm not positive sorry if I'm wrong!
Step-by-step explanation:
The Y-intercept is when the line of the graph crosses through the y intercept
Decrease £2123 by 8%
please please help i’ll give brainliest tysm:))
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: