PLS HELP ASAP !!!!!!!!!!3
Compare the functions shown below:
f(x) = 7x + 3(x) = h(x) 2 sin(3x + π) − 1 Using complete sentences, explain which function has the greatest y-intercept.
Answers
Answer:
f(x) has the greatest y-intercept
Step-by-step explanation:
* Lets explain how to solve the problem
- The function f(x) = 7x + 3
- The function g(x) is tangent function with y-intercept at (0 , 2)
- h(x) = 2 sin(3x + π) - 1
* Lets explain how to find the y-intercept
- The y-intercept means the intersection of the graph of the
function with the y- axis
- Any point on the y-axis has x-coordinate = 0, so to find the y-intercept
of any function substitute x in the function by zero
∵ f(x) = 7x + 3
∵ x = 0
∴ f(x) = 3
∴ The y-intercept of f(x) is 3
∵ g(x) has y-intercept at point (0 , 2)
∴ The y-intercept of g(x) is 2
∵ h(x) = 2 sin(3x + π) - 1
∵ x = 0
∴ h(x) = 2 sin(3 × 0 + π) - 1
∴ h(x) = 2 sin(π) - 1
∵ sin(π) = 0
∴ h(x) = 2 (0) - 1 = 0 - 1 = -1
∴ The y-intercept of h(x) is -1
∵ 3 > 2 and 3 > -1
∴ f(x) has the greatest y-intercept
The function f(x) has the greatest y-intercept i.e. 3.
Given functions are:
[tex]f(x)=7x+3\\[/tex]
[tex]h(x)=2Sin(3x+\pi )-1[/tex]
What is the y-intercept?The y-intercept is the point on the y-axis at which the graph intersects.
We know that on the y-axis, the x-coordinate is zero.
So, by putting x=0 in the function we can get the y-intercept.
1)[tex]f(x)=7x+3\\[/tex]
[tex]f(0)=3[/tex]
So, the y-intercept of f(x) is 3.
2)From the graph we can say the y-intercept of g(x) is 2.
3)[tex]h(x)=2Sin(3x+\pi )-1[/tex]
[tex]h(0)=2Sin\pi -1[/tex]
[tex]h(0)=-1[/tex]
So, the y-intercept of h(x) is -1.
Hence, function f(x) has the greatest y-intercept i.e. 3.
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Related Questions
PLEASE HELP ME Which of the following statements is not supported by the Venn diagram below?
There are 55 students taking biology and geometry.
There are 39 students who are not taking both geometry and biology.
There are more students in biology than students in geometry.
There are more students in geometry than students taking only biology.
Answers
Answer:
the answer is
Step-by-step explanation:
There are more students in biology than students in geometry.
The following statements does not support the given venn diagram:
There are 55 students taking geometry and biology.
There are more students in biology than students in geometry.
What are Venn diagrams?
The components of a set or group are schematically represented by a Venn diagram. It is a diagram that depicts every conceivable logical connection between a finite collection of sets or groups. It is also known as set diagram.
In a Venn diagram, sets of various elements are represented by many overlapping shapes (often circles). It seeks to give a pictorial representation of the components, emphasizing their similarities and differences.
Solution:
If we consider the first statement i.e, there are 55 students taking biology and geometry then through the venn diagram we get:17₊ 22 ₊8 = 47
The result of the addition operation is not equal to the number of students, hence it does not support to the statement.
If we consider the second statement i.e, there are 39 students who are not taking both biology and geometry then through the venn diagram we get:17 ₊ 22 = 39
The result of the addition operation is equal to the number of students, hence it supports the statement.
If we consider the third statement i.e, there are more students in biology than students in geometry then through the venn diagram we get:17 ₊ 8 = 25 and 8 ₊ 22 = 30
where, 25 < 30
Here, we can observe that students are less in biology and more in geometry, hence the result does not support the statement.
If we consider the fourth statement i.e, there are more students in geometry than students taking in biology, then through the venn diagram we get:22 ₊ 8 = 30
30 > 17
Here, we can observe that students are more in geometry than students taking only biology, hence the result supports the statement.
So the following statements does not support the venn diagram given:
There are 55 students taking geometry and biology.
There are more students in biology than students in geometry.
Learn more about "Venn diagrams" here-
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A dance studio requires each dancer to pay a registration fee plus an hourly rate for all lessons. If the total cost, y, of a dancer's lesson is modeled by the equation y = 25x + 50, how could the y-intercept be interpreted?
Answers
Answer:
(0,50)
Step-by-step explanation:
Given the total cost of a dancers lesson modeled by the equation y = 25x + 50, the y intercept occurs at the point where x = 0.
Substitute x = 0 into the expression
y = 25x + 50
y = 25(0) + 50
y = 0+50
y = 50
Hence the y intercept is (0, 50). This shows that the total cost of the dancers lesson registration fee is 50
PLZ HELP NOW IM FAILING THIS CLASS (work not needed... just answers)
Answers
Answer:
1.D
2.B
Step-by-step explanation:
question 1
-2(2)²+1/3(2)
-7/6
question 2
(-4x-2)(2x)
-8x²-4x
George is 6 feet tall and his shadow measured 8 feet long at noon. At the same time, a nearby flagpole cast a 40-foot shadow. What is the height of the flagpole? *
Answers
Answer:
42 I think LOL
please help i’ll give brainliest
Answers
Answer:
the answer is b
Step-by-step explanation:
because only some of the energy is saved into the body while the other leaves as waste
find the value of y. 120° y = ?°
Answers
Answer:
240
Step-by-step explanation:
360 minus 120 degree give 240 degree
Answer: 60
Step-by-step explanation:
120/2= 60
Find the volume of this cone.
Round to the nearest tenth.
10ft
6ft
Answers
Answer:
433.5
Step-by-step explanation:
The volume of the cone with a radius of 6ft and a height of 10ft is approximately 301.4 cubic feet.
What is the volume of the cone?A cone is simply a 3-dimensional geometric shape with a flat base and a curved surface pointed towards the top.
The volume of a cone is expressed as;
V = (1/3)πr²h
Where r is the radius of the base, h is the height of the cone and π is constant pi ( π = 3.14 ).
From the diagram:
Slant height l = 10 ft
Radius r = 6 ft
Height h =?
Volume V =?
First, we determine the height of the cone using Pythagoras theorem:
h² = 10² - 6²
h² = 100 - 36
h² = 64
h = √64
h = 8
Plug the values into the above formula and solve for the volume:
V = (1/3)πr²h
V = (1/3) × 3.14 × 6² × 8
V = (1/3) × 3.14 × 36 × 8
V = 301.4 ft³
Therefore, the volume is approximately 301.4 cubic feet.
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A window in the shape of a parallelogram has a base of 34 inches and a height of 63 inches. What is the area of the window?
Answers
Answer:
2142 inches^2
Step-by-step explanation:
parallelogram's area: base * height
so, 34*63 = 2142
The speed of light is approximately 3x10^8 m/s. How far does light travel in
240 seconds?
7.2x10^10 m
7.2x10^-10 m
1.25x10^6 m
1.25x10^-6 m
Answers
Answer:
7.2*10^10m
Step-by-step explanation:
3*10^8 multiplied by 240 gives 72000000000.
In scientific notation, this is 7.2*10^10.
Therefore, 7.2*10^10m.
Answer:
1.25x10^_6 m this my own answe
If 7x = 24 y, find the ratio of x to y.
Answers
Answer:
7:24 or [tex]\frac{7}{24}[/tex]
Step-by-step explanation:
a ratio is usually defined as a fraction ( the first to the next)
Mr.Rosado is buying a jacket that regularly cost $40. It is on sale for 20% off. The store also adds a tax of 8%. After tax, how much does Mr.Rosado pay for the jacket?
Answers
Answer:
$11.20
Step-by-step explanation:
Answer:
$34.56
Step-by-step explanation:
32x.08=2.56
40x.2=8
40-8=32
32+2.56=34.56
What is the distance between (-3, 5) and
(-7,5)
Answers
the distance is 4 units down
Answer:
The distance between these two coordinates is 4.
Step-by-step explanation:
[tex]x_{2} - x_{1}[/tex]
[tex]y_{2} - y_{1}[/tex]
- 7 - (-3) = 4
5 - 5 = 0
4 + 0 = 4
4.
2
Round off 14.9028 to the nearest
hundredths
Answers
Answer:
14.9000 is the answer
Step-by-step explanation:
round it
Answer:
can you be more clear
Step-by-step explanation:
Simplify 6 -square root of 15 divided by 2
Answers
Answer:
hjyfgtuygtfvfvhjkoijuhgytfrdetrft
Step-by-step explanation:
dcfgvhbjnkiouytrfdr
Answer:
-2.94
Step-by-step explanation:
I got the answer correct on edge
what is 15 2/9 as a whole number
Answers
Answer: Unless you round it to a whole number the answer would be 15.2 but if you round to a whole number it would just be 15 lol.
Which is a solution to the system of linear
inequalities? Select all that apply.
y > 2x + 5
y<-3x+5
a. (-5, -1)
b. (0, 2)
c. (-4,1)
d. (-3,0)
Answers
Joann decides to paint one wall in her room with blackboard paint. The wall has the dimensions shown. A can of paint covers 25 square feet. How many cans of blackboard paint does Joann need for the wall.
Answers
*see attachment for the diagram of the wall
Answer:
6 cans
Step-by-step explanation:
First, let's calculate the area of the wall to be painted = area of a rectangle
Area of the rectangle = length*width
From the diagram,
Length = 13 ft
Width = 10 ft
Area = 13*10 = 130 ft²
Given that 1 can of paint covers 25 ft²,
Number of can of paints that will cover 130 ft² = 130/25 = 5.2
This means we will need more than 5 cans. So Joan will need to get roughly 6 cams of blackboard paint.
help? ill give brainliest
Answers
Answer: A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Hope this helps also I had this on a test and it was right
2-2N=3N+17
help plz thank you
Answers
Answer:
-3 = N
Step-by-step explanation:
2-2N=3N+17
Add 2N to each side
2-2N+2N=3N+2N+17
2 = 5N +17
Subtract 17 from each side
2-17 = 5N+17-17
-15 = 5N
Divide each side by 5
-15/5 = 5N/5
-3 = N
Answer:
N= -3
Step-by-step explanation:
First, bring 3N on to the left side by subtracting 3N with 2N
2-2N-3N=17
Then, move 2 to the right side by subtracting 17 and 2: -2N-3N= 17-2
Solving the like terms gives us -5N= 15
N= 15/-5
N= -3
what the answer of ½ ÷ ½
Answers
Answer:
its 1
Step-by-step explanation:
Darion buys 2 pounds of almonds for $21.98 and 3 pounds of dried apricots for $26.25. Which is less expensitve per pound?
Answers
Answer:
Dried Apricots
Step-by-step explanation:
Divide dollars per pound to find amount per pound and then compare.
Guys pls help me!!!!!
Answers
Answer:
13 1/5 Kilometers
Step-by-step explanation:
you times 4 1/2 by 3 because if she runs 4 1/2 in a third of an hour then she runs 4 1/2 3 times every hour.
Can someone help with this question??
Answers
D 11 1/4
Step-by-step explanation:
3/4 + 1 1/2 is 2 1/4
2 1/4 x 5 is 11 1/4
The relationship between the number of pounds (lb) of trail mix and the price
in dollars is shown in the graph. What is the unit price of trail mix?
A. 1 lb/$8
B. $8/1 lb
C. $1/8 lb
D. $16/2 lb
pls answer quickly since this is a quiz :)) picture included above
Answers
Jordan has a bag that contains orange chews, strawberry chews, and lime chews. He performs an experiment. Jordan randomly removes a chew from the bag, records the result, and returns the chew to the bag. Jordan performs the experiment 61 times. The results are shown below: An orange chew was selected 11 times. A strawberry chew was selected 17 times. A lime chew was selected 33 times. Based on these results, express the probability that the next chew Jordan removes from the bag will be strawberry chew as a decimal to the nearest hundredth.
Answers
Answer:
17/61 or 0.27
Step-by-step explanation: 17 out of 61 times Jordan will pull out strawberry so the probability of pulling out a strawberry chew is 17/61 which is 0.27 as a decimal
Answer:
0.28
Step-by-step explanation:
0.278 rounded is 0.28
Determine the best method to solve the system of equations. Then
solve the system. x - 3y = 25 and 2x + y = 64. can you please help!!!!!
Answers
Answer:
(31, 2); Substitution.
Step-by-step explanation:
x - 3y = 25
Use SUBSTITUTION by setting everything in the above equation equal to x...
x = 3y + 25
2(3y +25) + y = 64
6y + 50 + y = 64
7y + 50 (-50) = 64 (-50)
7y = 14
y = 2
Then, substitute y = 2 into the original equation.
x - 3(2) = 25
x - 6 = 25
x = 31
(x, y) = (31, 2)
If you find this answer satisfactory, please give me Brainliest.
CAN SOMEONE PLEASE HELP ME!!!!!
Answers
9514 1404 393
Answer:
$7.00 per week
Step-by-step explanation:
The balance at the end of week 1 is $39-32 = $7.00 higher than at the start. The rate of change is $7.00 per week.
Answer:
$ 7.00 per weekStep-by-step explanation:
#CarryOnLearningMultiply polynomials #3
Answers
Multiplying the two together, you get an equation such as
-6x^4 - 12x^3 +33x^2 +12x -27.
Answer:
-6x^4-12x^3+33x^2+12x-27
Step-by-step explanation:
What appears to be the domain of the part of the exponential function graphed? A) x ≤ 1 B) h(x) ≤ 1 C) x ≤ 5 D) h(x) ≤ 5
Answers
Please help if you know the answer please