The function f(x) = x^4 + 4/x^2 + 1 is an even function
How to determine the function type?The equation of the function is given as
f(x) = x^4 + 4/x^2 + 1
Calculate f(-x)
So, we have
f(-x) = (-x)^4 + 4/(-x)^2 + 1
Evaluate the exponents
f(-x) = x^4 + 4/x^2 + 1
Calculate -f(x)
So, we have
-f(x) = -[x^4 + 4/x^2 + 1]
Evaluate the product
-f(x) = - x^4 + 4/x^2 + 1
From the above computations, we have
f(x) = f(-x)
This represents an even function
Hence, the function f(x) = x^4 + 4/x^2 + 1 is an even function
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Justify Step 4 of this Proof
Answer:
I believe it's SSS
Step-by-step explanation:
This is because all sides are congruent to each other.
T is the midpoint of segment SU. If ST= 17x and TU= 7x + 39 Find the value of x.
Answer:
[tex]\displaystyle x=\frac{39}{10}[/tex]
What is the midpoint?The midpoint of a line bisects that line into two congruent line segments - otherwise speaking, they are equivalent to each other.
Due to this, we can set the equations equal and solve for x.
SolveFirst, set the equations equal to one another.
[tex]17x = 7x + 39[/tex]
Subtract 7x from both sides of the equation to combine like terms.
[tex]17x - 7x = 7x - 7x + 39[/tex]
[tex]10x =39[/tex]
Then, divide both sides of the equation by 10 to isolate the variable.
[tex]\displaystyle \frac{10x}{10} = \frac{39}{10}[/tex]
[tex]\displaystyle x=\frac{39}{10}[/tex]
Final Answer[tex]\displaystyle \boxed{\bold{x=\frac{39}{10}}}[/tex]
Calculate the rate of change for the following data:
x y
-1 5
2 -4
7 -19
10 -28
A. 6
B. -9
C. -3
D. 4
Given:
The table of values.
To find:
The rate of change.
Solution:
From the given table it is clear that the rate of change is constant and function passes through two points (-1,5) and (2,-4). So, the rate of change is
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\dfrac{-4-5}{2-(-1)}[/tex]
[tex]m=\dfrac{-9}{2+1}[/tex]
[tex]m=\dfrac{-9}{3}[/tex]
[tex]m=-3[/tex]
So, the rate of change is -3.
Therefore, the correct option is C.
WILL GIVE BRAINLIEST
Answer:
e
Step-by-step explanation:
The equation y = 5x represents the amount of miles Fran runs in x days.
When a graph of this situation is drawn, what does the point (1, 5) on the graph represent?
A. The number of miles Fran runs each day.
B. The number of miles Fran runs on the first day.
C. The total number of miles Fran runs in five days.
D. The total number of miles Fran runs on the fifth day.
Answer:
b
Step-by-step explanation:
Danielle's car wash took in $185 to help raise money for the drama club. Danielle needed to spend $32 for car wash supplies. How much profit did the car wash make?
Answer:
153 185-32 is 153 so there's your answer
Find the area and the circumference of a circle with Diameter 6 yd . Use the value 3.14 for pi , and do not round your answers .
Step-by-step explanation:
i hope this helps its kind of hard to see but i tried lol
solve for x using the image
Answer:
6
Step-by-step explanation:
By the segment addition postulate, LM+MN=LN.
[tex]x+3=2x-3 \\ \\ 3=x-3 \\ \\ x=6[/tex]
The additive inverse of the complex number a+bi is -a-bi. The sum of a complex number and its additive inverse is zero.
Example: (5+4i)+(-5-4i)=0
What is the additive inverse of –2 + 8i?
2 + 8i
–2 – 8i
2 – 8i
–2 + 8i
A complex number is said to be additive if the sum of a complex number and its additive inverse is zero. The additive inverse of the complex number is 2+ 8i
What are additive inverses?A complex number is said to be additive if the sum of a complex number and its additive inverse is zero.
For instance the the additive inverse of the complex number a+bi is -a-bi.
Given the comlex number -2 + 8i, the additive inverse is expressed as:
Additive inverse = -(-2 - 8i)
Additive inverse = 2 + 8i
Hence the additive inverse of the complex number is 2+ 8i
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How many feet are in 9 meters?
1 m = 3.3 ft
9 m = [?] ft
Answer:
your answer is 29.7 feet's
Step-by-step explanation:
1m = 3.3ft
9m = x ft
Cross multiply
x = 9 ×3.3 ft
x = 29.7 feet
or 29 feet
How do you solve this problem
Answer
4 Months
Step-by-step explanation:
You pay 15 for 4 months giving you 60 then add 20 so you have 80 you have 10 for 4 months which is 40 then add 40 to it which is 80
Answer:
i think your supposed to input x
Step-by-step explanation:
15x+20 for Leslie
10x+40 for Rashad
and input 6 and 4 in the place of x
15(6)+20 = $110
10(6)+40 = $100 (Not same answer)
15(4)+20 = $80
10(4)+20 = $80. (Same answer)
in 4 months the clubs will cost the same
Which expression is equivalent to (q^4)^-3/q^-15 for all values of q where the expression is defined?
Answer: q^3
Step-by-step explanation:
The required expression that is equivalent to the given expression is q³.
Given that,
To determine the expression is equivalent to (q^4)^-3/q^-15 for all values of q where the expression is defined.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Given expression,
[tex]= \frac{(q^4)^{-3}}{q^{-15}} \\= q^{15 - 12}\\=q^3[/tex]
Thus, the required expression that is equivalent to the given expression is q³.
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bro sombody help me i am extremly not smart
and bad at math, thank you
Answer:
sure wuts ur question? I GOT IT4 LBS
A is the center of the circle, and the length of CD is 15 centimeters.
Name a segment that is a radius. How long is it?
AC: 7.5cm
CD: 7.5cm
CD: 15 cm
AC: 15cm
The radius of the circle will be 7.5 cm. Then the correct option is A.
What is a circle?It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.
If the chord is passing through the origin. Then the chord will be the maximum chord and the maximum chord is known as the diameter of the circle.
A is the center of the circle, and the length of the CD is 15 centimeters.
The length CD is the diameter of the circle.
The length of the radius is calculated as,
AC = d / 2
AC = 15 / 2
AC = 7.5 cm
The radius of the circle will be 7.5 cm. Then the correct option is A.
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what is the slope of the line that contains the points (-1,2) and (2,2)
Answer:
the equation to find the slope is (y2-y1)/(x2-x1)
the points are (-1,2) and (2,2) so plug it in and you get
(2-2)/(2-(-1))
0/ (2+1)
0/3
whenever the numerator is 0, that means the slope is 0. the line is just a horizontal line.
Each morning Rin rides 1.5 miles to school and then rides home in the afternoon. Later in the evening, she rides to the
park and back home. Over the 5 school days, she rides a total of 25 miles. Which equation can be used to find the
distance she rides each evening?
a) 1.5+x=25
b)1.5+1.5+x=25
c)5(1.5+c)=25
d)5(1.5+1.5+x)=25
Answer:
5(1.5+1.5+x)=25
Imma beginer don't judge this is the answer i think
in each of the following figures p ll q. find the indicated vaules
Answer:
you found the value of x, just put it in the equation
What type of solution does this equation have?
2x + 6 - 2 = 5
no solution
one solution
infinite many solutions
Answer:
one solution
Step-by-step explanation:
BRAINLIEST BRAINLIEST
please answer thank you
Answer:
y + x = 7
Step-by-step explanation:
Standard form should be
y - 9 = -(x+2)
y = -x -2 +9
y + x = 7
Answer:
y + x = 7
Step-by-step explanation:
hope that helps :)
could you mark my answer as brainliest ? :)
The coordinates of point T are (0,5). The midpoint of is (2,-5). Find the coordinates of point S.
The coordinates of point S is (4, -15)
How to find the coordinates of point S?The given parameters are
T = (0, 5)
Midpoint = (2, -5)
The midpoint of a line is calculated using
Midpoint = 1/2 * (x1 + x2, y1 + y2)
So, we have
(2, -5) = 1/2 * (0 + x, 5 + y)
This gives
(4, -10) = (x, 5 + y)
Solve for x and y
So, we have
x = 4
5 + y = -10
This gives
x = 4
y = -15
Hence, the coordinates of point S is (4, -15)
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x+8y
units
8x -x+5y units
what’s the perimeter?
Answer:
P = 16x+26y units
Step-by-step explanation:
Let the length is (x+8y) units
Width = (8x-x+5y) units
We need to find the perimeter. We know that the perimeter is equal to the sum of all sides.
P = 2[(x+8y) + (8x-x+5y)]
= 2[(8x+8y+5y)]
= 2[8x+13y]
= 16x+26y
Hence, the required perimeter is 16x+26y.
1 Ray is making a dessert by mixing honey and yogurt in the ratio of 2 to 13. How much yogurt and honey does he need to ma 600 grams of the dessert
Answer:
80 grams honey, 520 grams yogurt
The measure of angle b is 3x degrees
How do I solve this question?
9514 1404 393
Answer:
no, y does not vary directly with x
Step-by-step explanation:
If there is direct variation, the constant of variation can be found as ...
k = y/x
Here, those ratios are ...
y/x = 6/3 = 2
y/x = 18/6 = 3
y/x = 24/8 = 3
The ratio of y to x is NOT A CONSTANT, so there is no direct variation.
At the restaurant, the cost of the meal before tax was $40. The tax is 8.5%, and Sheri wants to leave at least an 18% tip. Explain how to approximate the total cost of the meal.
Solution :-
given that,
→ Cost of meal before tax = $ 40
and,
→ Tax = 8.5%
So,
→ Total tax paid = 8.5% of cost of meal = (40 * 8.5)/100 = $ 3.4
now,
→ Tip = 18% of cost of meal = (18 * 40)/100 = $ 7.2
then,
→ Total cost of the meal = Cost of meal before tax + Total tax paid + Tip = 40 + 3.4 + 7.2 = $50.6 ≈ $51 (Ans.)
Shortcut :-
→ Total cost of the meal = Cost of meal * (100% + 8.5% tax + 18% tip) = 40(1 + 0.085 + 0.18) = 40 * 1.265 = $50.6 ≈ $51 (Ans.)
How to find the surface area of a polyhedron BE SPECIFIC
4 thumb drives and 1 compact disk have a
total capacity of 18 gigabytes. 3 compact
disks and 4 thumb drives have a total
capacity of 22 gigabytes. Find the capacity
of 1 thumb drive (x) and the capacity of 1
compact disk (y).
The capacity of thumb drive disc is 4 gigabytes and the capacity of compact disc is 2 gigabytes.
How to calculate the equation?Let thumb drive = (x)
Let the capacity of 1 compact disk = (y).
Therefore, the appropriate equation will be:
4x + y = 18
4x + 3y = 22
Subtract the equations
2y = 4
y = 4/2
y = 2
The capacity of compact disc is 2 gigabytes.
Since 4x + y = 18
4x + 2 = 18
4x = 18 - 2
4x = 16
x = 16/4
x = 4
The capacity of thumb drive disc is 4 gigabytes.
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What is the slope of the line?
As soon as possible please !!
Answer:
[tex]m=\frac{-8}{5}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [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, 4)
Point (4, -4)
Step 2: Find slope m
Substitute [Slope Formula]: [tex]m=\frac{-4-4}{4+1}[/tex]Subtract/Add: [tex]m=\frac{-8}{5}[/tex]PLSSS HELP ANSWER, THE QUESTION IS IN THE SCREENSHOT
Answer:
Circle
Step-by-step explanation:
[tex]x dx=-y dy \\ \\ \int x \text{ } dx=\int -y \text{ } dy \\ \\ \frac{x^2}{2}=-\frac{y^2}{2}+C \\ \\ x^2=-y^2+C \\ \\ x^2+y^2=C[/tex]
Which is the equation of a circle.
Are these triangles congruent? If so, why?
Because one side of triangle is equal and two angles are equal . So option 1 is your answer .