Graphing functions is the process of drawing a curve on the reference system that represents a function, and its calculation can be defined as follows:
Graph function:
Every point on a curve (graph) that represents a function fulfills a function formula.The function is a domain-range connection whereby each domain value corresponds to only one range value. This criterion is violated by non-functional relations. These have at least a single domain value that matches two or more ranges.[tex]\to F(x)=\frac{3}{8} (x-1)(x-9)[/tex]
solving the above given function:
[tex]\to F(x)=\frac{3}{8} (x^2 -9x-x+9)\\\\\to F(x)=\frac{3}{8} (x^2 -10x+9)\\\\\to F(x)=\frac{3}{8} \times x^2 - \frac{3}{8} \times 10x+ \frac{3}{8} \times 9\\\\\to F(x)=\frac{3}{8} \times x^2 - \frac{3}{4} \times 5x+ \frac{3}{8} \times 9\\\\[/tex]
Please find the graph function in the attached file.
Find out more about the Graph function here:
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What is the product ([tex](7\sqrt{8} +3\sqrt{12} )(7\sqrt{8} -3\sqrt{12})[/tex]?
A music collection includes 19 ROCK CDs, 12 COUNTRY CDs, 6 CLASSICAL CDs, and 5 HIP HOP
CDs. What is the probability that a CD randomly selected from the collection IS NOT a classical
CD?(answer as simplified fraction)
Answer:
the answer is 6/7.
you're welcome.
Write an equation of the line that passes through pont (6,2) and is perpendicular to the line y = 3x + 3?
Brainliest will be given all points!
Answer:
y = -1/3x + 4Step-by-step explanation:
Perpendicular lines have negative-reciprocal slopes
The line will have a slope of:
- 1/3The equation is:
y = -1/3x + bUse the pair (6, 2) to find the value of b:
2 = -1/3(6) + bb - 2 = 2b = 2 + 2b = 4The line is:
y = -1/3x + 4Answer:
ummmmmmmmm
Step-by-step explanation:
у = 2х - 1
2х + Зу = -7
Answer: 1. у %3 2х
Step-by-step explanation: Find the distance between (0, 0) and (-3, 4) pair of points
Find the y-intercept of the line on the graph.
Enter the correct answer
HELP PLEASE!!! i’ll give brianliest
Answer:
(0,4)
Step-by-step explanation:The y intercept is where the line passes through the y-axis.
Help meeeeeeeeeeeeeeeee
Answer:
c
Step-by-step explanation:
there are 8 parts and 4 of them are red= 4/8
which simplifies to 1/2
Solve for x 8.2/x =12/6.4
Answer: x=4.373
Step-by-step explanation: Have a brilliant day mate -Lily ^_^
Answer:
x=4.373 (put a repetend at the top of three last digit)
Step-by-step explanation:
Combine rational expressions and isolate variable x
answer this question
Answer:
(0,8)
Step-by-step explanation:
find the length of the missing side.
Answer:
length of third side is 10 units.
Step-by-step explanation:
let x be the missing side
by pythagorus :
x^2 = 8^2 + 6^2 x^2 = 64 + 36x = root 100x = 10Hey can anybody help with this question please
A map has the scale of 1 inch = 50 miles. if two cities are 1 inch apart on the map how many miles separate the cities?
Answer: 175
Step-by-step explanation:
To determine the actual distance using the map scale of 1 inch = 50 miles, you would multiply the number of inches shown on the map by 50.
For this problem: 3 1/2 • 50 = 7/2 • 50 = 175 miles
The two cities are 175 miles apart.
Simplify 12cm to 2.5mm
Given:
12cm to 2.5mm
To find:
The simplified for of given statement.
Solution:
We know that,
1 cm = 10 mm
12 cm =120mm
We have,
12cm to 2.5mm
It can be written as
[tex]\dfrac{12\ cm}{2.5\ mm}=\dfrac{120\ mm}{2.5 mm}[/tex]
[tex]\dfrac{12\ cm}{2.5\ mm}=\dfrac{120}{2.5}[/tex]
[tex]\dfrac{12\ cm}{2.5\ mm}=48[/tex]
Therefore, the value of 12 cm to 2.5 mm is 48 or 48:1.
Write an equation in slope intercept form for the graph of the line.
Rotation 180° counterclockwise around the origin of the point (4, -1)
Answer:
(-4, 1).
Step-by-step explanation:
For 180 counter clockwise rotation (x, y) ------> ( -x, -y)
So ( 4, - 1) -------> (-4, 1)
GUYS PLEASE I NEED HELP
Given:
The graphs of two parabolas.
To find:
The equation of the quadratic function with given graphs.
Solution:
(a)
The factor form of a parabola is
[tex]y=a(x-b)(x-c)[/tex]
Where, a is a constant, b and c are x-intercepts.
From the graph (a) it is clear that the graph intersect the x-axis at -1 and 3. So, b=-1 and c=3.
[tex]y=a(x-(-1))(x-3)[/tex]
[tex]y=a(x+1)(x-3)[/tex] ...(i)
Put x=0 and y=3 because the y-intercept is (0,3).
[tex]3=a(0+1)(0-3)[/tex]
[tex]3=-3a[/tex]
[tex]\dfrac{3}{-3}=a[/tex]
[tex]-1=a[/tex]
Putting a=-1 in (i), we get
[tex]y=-1(x+1)(x-3)[/tex]
[tex]y=-(x+1)(x-3)[/tex]
Therefore, the equation of the parabola is [tex]y=-(x+1)(x-3)[/tex].
(b)
The vertex form of a parabola is
[tex]y=a(x-h)^2+k[/tex]
Where, a is a constant and (h,k) is vertex.
From the the graph (b), it is clear that the vertex of the of the parabola is at point (2,0) and y-axis is (0,8). So, h=2, k=0.
[tex]y=a(x-2)^2+0[/tex]
[tex]y=a(x-2)^2[/tex] ...(ii)
Put x=0 and y=8 because the y-intercept is (0,8).
[tex]8=a(0-2)^2[/tex]
[tex]8=4a[/tex]
[tex]\dfrac{8}{4}=a[/tex]
[tex]2=a[/tex]
Putting a=2 in (ii), we get
[tex]y=2(x-2)^2[/tex]
Therefore, the equation of the parabola is [tex]y=2(x-2)^2[/tex].
A leaf fell into a river and traveled 140 meters in 4 minutes
How many meters did the leaf travel per minute?
Answer:
35 meters per minute
Step-by-step explanation:
140 meters/4 minutes = 35 meters/minute
Answer:
35 meters per minute
Step-by-step explanation:
140÷4=35
35 meters per minute
Zach paid $56.50 including sales tax for a book priced at $45. What was the sales tax rate?
Answer:
25.56% or $11.50
Step-by-step explanation:
I took it and put it in a sales tax calc.
can someone help me with this please, i am not sure what to do
Answer:
I attached the graph below
Step-by-step explanation:
I started at the y-intercept, because it is where the line crosses the y-axis. Then, I used rise/run for the slope (-5/3) and went down 5 units and right 3 units. I connected the points to make the graph.
There are 120 Calories in a 34-cup serving of cereal. How many Calories are there in 6 cups of cereal?
Answer:
960 calories
Step-by-step explanation:
Answer:
there are 960 calories in 6 cups of cereal.
Step-by-step explanation:
help me please guys
Answer:
900
Step-by-step explanation:
because if you do 400×5m then that's 900
and that's how much work you did by just pushing 5 meters with 400 N
Pleasee can you give me the answer and explain how to do it for the future because I’ve been seeing this all day and I don’t know how to do it ;(
Answer:
C . y(18x-9w-12) ..............
Simplify the radical: √80
Answer:
4√5
Step-by-step explanation:
if this isnt the answer u needed lmk!!
help me pls
help me pls
help me pls
help me pls
Answer:
The correct answer is 12
Answer:
the answetr is 3.5
Step-by-step explanation:
Write the equation of
the circle with diameter
endpoints of (17,-3) and
(-13, 3).
The equation of the described circle is:
(x - 2)² + y² = 234
How to write the circle equation?Remember that the equation for a circle whose center is (a, b) and has a radius R, is:
(x - a)² + (y - b)² = R²
Here the endpoints of the diameter are (17,-3) and (-13, 3), then the center is at:
( [17 - 13]/2, (-3 + 3)/2)
(2, 0)
And the radius is the distance between the center and any of these points:
R = √( (2 - 17)² + (0 + 3)²)
R = √234
Then the equation is:
(x - 2)² + (y - 0)² = √234²
(x - 2)² + y² = 234
LEarn more about circles at:
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Given the following functions, f (x)= 3x + 2 and g(x)= 5x determine
part a: f(8)=
part b: g(a+2)=
Answer:
a) 26; b) 5a+10;
Step-by-step explanation:
f(8)=3(8)+2
=24+2
=26
g(a+2)=5(a+2)
=5a+10
Frances can complete 919191 oil changes in 777 days.
How many oil changes can Frances complete in 111111 days?
show your work or not
Answer:
Frances will complete 131,444,313 oil changes.
Step-by-step explanation:
919191 oil changes=777days
? =111111 days
=(919191*111111)/777
=131,444,313 oil changes
Find FE (image Below)
Answer:
FE= 20
Step-by-step explanation:
…......................
SAS
Step-by-step explanation:
GD = FE
3x + 5 = 4x
5 = 4x - 3x
5 = x
so, FE = 4x
= 4 × 5
= 20
How is the ratio of crushed tomatoes to tomato paste different from the ratio of tomato paste to crushed tomatoes?
Answer and explanation:
The ratio 1:2 is different from the ratio 2:1. The ratio 1:2(one to two) means a comparison of two sizes; the ratio of one part of that thing to the ratio of two parts of that thing. Likewise, the ratio 2:1 is the comparison of two parts of a thing to the ratio of one part of the thing. For the ratio 2:1, we could say for example that for every two crushed tomatoes there is one tomato paste.
How many centimeters are equal to 5 inches?
Remember, 2.54 cm = 1 in. Do not include units in
your answer.
Answer:
12.7 is your answer
5 x 2.54 = 12.7
find the diffrence 3/4 - 1/3
Answer: 0.4
Step-by-step explanation: 3/4 - 1/3 = 5/12
converted to decimal: 5 ÷ 12 = 0.4
Answer:
3 /4 – 1/3 = 5 /12
Step-by-step explanation:
Calculation steps:
3 /4 –1 /3
=3 × 3 /4 × 3–1 × 4/3 × 4
= 9 /12 –4 /12
= 9 – 4 /12
= 5 /12