Determine whether each function is even, odd, or neither.
f(x) = (x2-9
DONE
g(x) = |x-31
DONE
x2-1
DONE
g(x) = x + x2
DONE
Answers
Answer:
a) f(x) = x² -9
function is an even function
b) g(x) = |x -3|
function is an even function
c) f(x)= x / x²-1
function is odd function
d) g(x) = x + x²
Given function is not an even not odd function
This function is neither even or odd
Step-by-step explanation:
Explanation:-
a) Given f(x) = x² -9
Even function
If f(-x) = f(x) , then the function is even function.
f(-x) = (-x)² -9
= x² -9
= f(x)
f(-x) = f(x)
∴ Given function is an even function
b)
Given g(x) = |x -3|
Even function
If g(-x) = g(x) , then the function is even function.
g(-x) = |-(x-3)|
= |x-3|
g(-x) = g(x)
∴ Given function is an even function
c)
odd function
If f(-x) =- f(x) , then the function is odd function.
f(-x) = [tex]f(-x) = \frac{-x}{(-x)^{2}+1 } = \frac{-x}{x^{2}+1 } = - f(x)[/tex]
= -f(x)
f(-x) = -f(x)
∴ Given function is odd function
d)
If g(-x) = g(x) , then the function is even function.
g(x) = x + x²
g(-x) = -x + (-x)²
= - (x - x²)
This is not either even or odd function
∴ Given function is neither function
a) f(x) = x² -9
function is an even function
b) g(x) = |x -3|
function is an even function
c) f(x)= x / x²-1
function is odd function
d) g(x) = x + x²
Given function is not an even not odd function
This function is neither even or odd
Here, we have,
a) Given f(x) = x² -9
Even function
If f(-x) = f(x) , then the function is even function.
f(-x) = (-x)² -9
= x² -9
= f(x)
f(-x) = f(x)
∴ Given function is an even function
b)
Given g(x) = |x -3|
Even function
If g(-x) = g(x) , then the function is even function.
g(-x) = |-(x-3)|
= |x-3|
g(-x) = g(x)
∴ Given function is an even function
c)
odd function
If f(-x) =- f(x) , then the function is odd function.
f(-x) = -x/(-x)²-1
= -f(x)
f(-x) = -f(x)
∴ Given function is odd function
d)
If g(-x) = g(x) , then the function is even function.
g(x) = x + x²
g(-x) = -x + (-x)²
= - (x - x²)
This is not either even or odd function
∴ Given function is neither function.
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Answers
Answer:
D) 45
Step-by-step explanation:
When a line bisects an angle, it cuts the angle into two equal halves. This means that ABD and DBC have the same angle measure, which is half of 90 degrees or 90/2=45. Hope this helps!
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Answer:
x=83
Step-by-step explanation:
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x=83
Answer:
∠x = 83°
Step-by-step explanation:
Since ∠x and ∠y are supplementary ∠s so they add up to 180°
So,
∠x + ∠y = 180
Where ∠y = 97°
∠x + 97° = 180
∠x = 180-97
∠x = 83°
which term best describes the function represented by the graph?
A) Exponential Growth
B) Exponential Decay
C) Linear Decreasing
D) Linear Increasing
Answers
Answer:
D
Step-by-step explanation:
Its a straight line, and remember, you ALWAYS read graphs from left to right, so its linear increasing. :)
In 2008 Stokely bought a condo that appreciated at a rate of 4% per year he bought the house for $240,000 he decided to sell it this year how much will he sell it for? What would be the Growth/decay rate, the independent variable, the dependent variable, the domain and range, and the starting point
Answers
Answer:
Step-by-step explanation:
Use the compound amount formula: A = P(1 + r)^t, where r is the annual interest rate as a decimal fraction, P is the initial amount of money, and t is the time in years. Then:
A = ($240,000)(1 + 0.04)^12 (that's 12 years past 2008)
= ($240,000)(1.04)^12 = $384,247.73
Growth rate: 4%, or 0.04
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It's strawberry season, so Monica wants to make strawberry jam. She buys all of the strawberries left at her local town market for a total of $25.50. If the strawberries cost $4.25 per quart, how many quarts does she buy?
Answers
Answer:
6
Step-by-step explanation:
25.5/4.25= 6
Answer: 6
Step-by-step explanation:
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Answers
Answer:
i think its c
Step-by-step explanation:
d looks even if that makes sense
Answer:
C cannot be represented by a linear function
Step-by-step explanation:
We can draw a line to represent the points, then it would be a linear functions
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9 / 11 divided 5 / 11 = A B/C
a = 1, b = 99, c = 55
a = 1, b = 55, c = 99
a = 1, b = 4, c = 5
a = 1, b = 5, c = 4
Answers
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Step By Step Explanation:
9/11 divided by 5/11 =
9/5 (Exact Form)
1.8 (Decimal Form)
1 4/5 (Mixed Number Form)
B = 4
C = 5
Hope this helpes!!!
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45º
63º
72º
98º
Answers
Answer:
In geometry, an angle measure can be defined as the measure of the angle formed by the two rays or arms at a common vertex.
Step-by-step explanation:
Angles are measured in degrees ( °), using a protractor. The protractor was invented by Joseph Huddart in 1801. It was a more complex form of protractor. hope this helps you :)
45
Explanation
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Answers
Answer:
The sum of the digits in the first 25 counting numbers, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, and 25 is 127
Step-by-step explanation:
The question regards the addition of single digits in numbers and asks of the sum of the digits in the first 25 numbers as follows;
1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 1 + 0 + 1 + 1 + 1 + 2 + 1 + 3 + 1 + 4 + 1 + 5 + 1 + 6 + 1 + 7 + 1 + 8 + 1 + 9 + 2 + 0 + 2 + 1 + 2 + 2 + 2 + 3 + 2 + 4 + 2 + 5 = 127
The sum of the digits in the first 25 counting numbers, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, and 25 = 127.
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Answers
Answer:
24 cm
Step-by-step explanation:
To find the perimeter of the shape:
3+3+6+6=18
Perimeter of rectangle is 18
Triangle is equilateral, and therefore, all it’s sides are the same.
The final step is:
3+3+6+6+6= 24
Answer:
Option B. is the correct choice.
Step-by-step explanation:
Perimeter = 3+6+6+3+6
= 24 cm
Best Regards!
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Answers
Answer:
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Step-by-step explanation:
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Answers
Answer:
D) 0
Step-by-step explanation:
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So,
RS = UT
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=> 2x-x = 5-5
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Answer:
Step-by-step explanation:
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Answers
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Step-by-step explanation:
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Answers
Answer:
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Answer:
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You can also convert into decimal
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
Point C is greater than 4 because it is at 6.
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Answers
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Step-by-step explanation:
50 * 60% = 50 * .6 = 30
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50 - 30 = 20
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———————————————
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Answer:
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Step-by-step explanation:
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Passing through (-5, -7) and parallel to the line whose equation is y = - 4x + 4
Write an equation for the line in point-slope form.
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Answers
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Answers
Answer:
B
Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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How do you graph solutions for inequalities on a coordinate plane?
Answers
Answer:
colorizing
Step-by-step explanation:
you should colorize the area that is the answer to an inequality on plane. thus, the colored area refers to the answer of it.
a tennis player is standing 12 meters from the base of the net when he hits the ball.the ball passes over the net and lands on the other side 6 meters away from the base of the net. if the height of the net is 1.5m , find the height of the ball when its struck by the player?
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Answers
(08.02)The coordinate grid shows the plot of four equations. A coordinate plane is shown with four lines graphed. Line A crosses the x axis at negative 1 and the y axis at negative 2. Line B crosses the x axis at negative 1 and the y axis at 2. Line C crosses the x axis at 1.5 and the y axis at negative 2. Line D crosses the x axis at 5 and the y axis at 5. Which set of equations has (1, 4) as its solution? A and D B and D A and C B and C
Answers
Answer:
B and D
Step-by-step explanation:
In the picture attached, the question is shown.
The graphical solution for a system of two equations is found at the intersection of the two lines. At point (1, 4) line B intersect line D, therefore this point is the solution of the set of equations B and D.
Which is the inverse of the function f(x) = x2 − 4?
y = x2 − 4
Answers
Answer:
The inverse of f(x) is
y = x² - 4
x = y ² - 4
y² = x + 4
y = √x + 4
The inverse of the function is y = √x +4
Hope this helps.
Pls help don’t know how to do this one
Answers
Answer:
150 m
Step-by-step explanation:
Since we have a dome inscribed in a rectangle, and are given the width of the rectangle, we can,
1. Find the diameter of the circle, which is also 150m
2. Find the length of the rectangle, which is 75m (the length of the rectangle is the same as the radius of the circle)
If we are to find the perimeter of the shaded region, we add the length and half the width of the rectangle. So,
75 + 75 = 150m
y=1/20x^2
The directrix of the parabola is:
x=-5
x=5
y=-5
Answers
Answer:
it's y=5
Step-by-step explanation:
Answer:
The correct answer is -5 not 5.
Which equation can be used to find B in the triangle below? Right triangle A B C is shown. Side A B has a length of 6, side B C has a length of 10, and side A C has a length of 8. tangent B = Eight-tenths Tangent B = eight-sixths cosine B = Ten-sixths Cosine B = ten-eighths
Answers
Answer:
Tangent B = eight-sixths
Step-by-step explanation:
Data
AB: 6 unitsAC: 8 unitsFrom tangent definition:
tan(β) = opposite/adjacent
where β is some angle, and opposite and adjacent are the opposite and adjacent sides (or legs) to that angle.
In our case, B is the angle, opposite to angle B is side AC, and adjacent to angle B is side AB. Replacing with data:
tan(B) = AC/AB
tan(B) = 8/6
Answer:
B is the correct option here
Step-by-step explanation:
hope that this helps. Peace and love
Hi, Please i need help with this question. Workings would be deeply appreciated .
A straight line which passes through the point (3,-4) makes intercept 3k and -5k on the x and y axes respectively. Find the value of k
Answers
Answer:
k = ⅕
Step-by-step explanation:
The slope-intercept equation for a straight line is
y = mx + b, where
m = the slope and
b = the y-intercept
Data:
(3,4) = a point on the line
(3k,0) = x-intercept
(0,-5k) = y-intercept
Calculations:
1. Slope
m = (y₂ - y₁)/(x₂ - x₁) = (-5k - 0)/(0 - 3k) = -5/(-3) = ⁵/₃
This makes the equation
y = ⁵/₃x - 5k
2. k
Insert the value of the known point: (3,4)
4 = (⁵/₃)(3) - 5k
4 = 5 - 5k
-1 = -5k
k = ⅕
The figure below shows your graph passing through (3,4) with intercepts 3k and -5k on the x- and y-axes respectively .
Solids X and Y are similar.
X has volume of 64 cm3
Y has volume of 729 cm3
The surface area of X is 208 cm2
Work out the surface area of Y.
Answers
Answer: 2,369.25 cm3
Step-by-step explanation:
Hi, to answer this question we have to use proportions:
X has volume of 64 cm3 and s surface area of 208 cm2
The proportion is = volume / surface area = 64/208
Y has volume of 729 cm3
Volume / surface area = 729/ s (surface area of y)
64/208 = 729/ s
Solving for s:
s = 729 / (64/208)
s = 2,369.25 cm3
Feel free to ask for more if needed or if you did not understand something.
Given the polynomial function below, find F(-9).
F(x) = -x2 - 10x-2
O A. -173
O B. -11
O C. 7
O D. 169
Answers
Answer:
C. 7
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
F(x) = -x² - 10x - 2
F(-9) is x = -9
Step 2: Evaluate
Substitute: F(-9) = -(-9)² - 10(-9) - 2Exponents: F(-9) = -(81) + 90 - 2Simplify: F(-9) = -81 + 90 - 2Add: F(-9) = 9 - 2Subtract: F(-9) = 7