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.
To get more about functions visit:
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Answer:
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Answers
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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:
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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,
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Answers
Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Round to the nearest tenth.
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Answers
Answer:
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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.
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The volume of a cone is expressed as;
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Where r is the radius of the base, h is the height of the cone and π is constant pi ( π = 3.14 ).
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Slant height l = 10 ft
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First, we determine the height of the cone using Pythagoras theorem:
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Plug the values into the above formula and solve for the volume:
V = (1/3)πr²h
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V = (1/3) × 3.14 × 36 × 8
V = 301.4 ft³
Therefore, the volume is approximately 301.4 cubic feet.
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Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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:
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Step-by-step explanation:
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Answers
Answer:
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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.
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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
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7y + 50 (-50) = 64 (-50)
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If you find this answer satisfactory, please give me Brainliest.
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Multiplying the two together, you get an equation such as
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Answer:
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Step-by-step explanation:
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-
brainly.com/question/2099071
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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
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Answers
Answer:
240
Step-by-step explanation:
360 minus 120 degree give 240 degree
Answer: 60
Step-by-step explanation:
120/2= 60
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Answer:
its 1
Step-by-step explanation:
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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
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
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Answer:
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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