Answer:
[tex]\frac{6}{10} = \frac{3}{5}[/tex]
Step-by-step explanation:
You have to divide this by "2"
Answer: 3/5
Step-by-step explanation: 6/10 can be divided by 2 because they are both even numbers then when you can no longer divided them it is simplified
Determine whether the ffunction X/(x^2-1) is odd even or neither
equation is:
[tex] f(x) = \frac{x}{ {x}^{2} - 1 } [/tex]
so if its even f(-x) should be equal to f(x)
that means
[tex]f( - x) = \frac{ - x}{ {( - x)}^{2} - 1} \\ \\ f( - x) = - \frac{ x}{ {x}^{2} - 1} [/tex]
so f(x) is not equal to f(-x) so its not even
If its odd than f(-x) should be equal to -f(x)
[tex] - f(x) = - ( \frac{ x}{ { x}^{2} - 1 } ) \\ - f(x) = - \frac{ x}{ {x}^{2} - 1 } [/tex]
so as we can see f(-x)= - f(x)
so the function is odd
Ans:function is odd and not even
By replacing x with -x in the given function X/(x^2-1), we find that it doesn't fulfill the criteria for even or odd functions. Therefore, the function is neither odd nor even.
Explanation:To determine whether the function X/(x^2-1) is odd, even or neither, you can plug in -x into the function and simplify. For a function to be considered even, f(x) should be equal to f(-x). For a function to be considered odd, f(-x) should be equal to -f(x).
For the given function X/(x^2-1), after replacing x with -x, we get -X/((-x)^2 - 1) which simplifies to -X/(x^2 - 1). Since f(-x) is not equal to f(x) or -f(x), the function is neither odd nor even.
Generally, an even function is symmetrical around the y-axis. That is, if you fold the graph of the function over the y-axis, both halves align. On the other hand, an odd function is symmetric about the origin. That is when the graph is rotated 180 degrees about the origin, the graph remains unchanged.
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Betsy is buying topsoil for the flower bed shown below.
One bag of topsoil covers 20 square meters.
How many bags of topsoil does Betsy need to cover her flower bed?
A 2 bags
B 3 bags
C 4 bags
D 5 bags
Answer:
Option B. 3 bags
Step-by-step explanation:
step 1
Find the area of the flower bed
The area of the flower bed is the area of a triangle
A=(1/2)bh=(1/2)(20)(6)=60 m^2
step 2
Divide the area by 20 square meters to find the number of bags of topsoil
(60)/(20)=3 bags
Answer:
B. 3 Bags
Step-by-step explanation:
Is F(x)= X^2(X^2+9)(X^3+2X) even or odd
Answer:
The function is odd.
Step-by-step explanation:
A function is even if the graph of the function is symmetric with respect to the y-axis. A function is odd if the graph of the function is symmetric with respect to the origin. To find if the function is even or odd, we're going to graph the function using DESMOS.
As you can see in the attached picture, the function is symmetric with respect to the origin. Therefore, the function is odd.
HELP!!!!!!! Choose the graph that matches the following system of equations:
4x + 2y = −2
x − 3y = 24
Answer:
The answer in the attached figure
Step-by-step explanation:
we have
[tex]4x + 2y = -2[/tex] -----> equation A
[tex]x-3y=24[/tex] -----> equation B
Isolate the variable x in the equation B
[tex]x=3y+24[/tex] ----> substitute in the equation A and solve for y
[tex]4(3y+24) + 2y = -2[/tex]
[tex]12y+96+ 2y = -2[/tex]
[tex]14y = -2-96[/tex]
[tex]14y = -98[/tex]
[tex]y = -7[/tex]
Find the value of x
[tex]x=3(-7)+24=3[/tex]
The solution of the system of equations is the point (3,-7)
The radius of a circle is 9. Using π, which equation expresses the ratio of the circumference of the circle to the circle's diameter?
Answer:
[tex]\large\boxed{\dfrac{C}{d}=\pi}[/tex]
Step-by-step explanation:
We have the radius r = 9.
The formula of a circumference of a circle:
[tex]C=2\pi r[/tex]
The diameter d = 2r.
The ratio of the circumference of the circle to the circle's diameter:
[tex]\dfrac{C}{d}=\dfrac{2\pi r}{2r}=\pi[/tex]
The side lengths of triangle ABC are 3,4, and 5 which set of ordered pairs from a triangle that is congruent to triangle ABC?
The answer is A.)(-3,1) , (-3,5) , (0,5)
Hope this helps! :)
Quick pls!!
ABC is reflected over l and then over m. Which could be the image of a rotation of ABC?
A) ABC
B) XYZ
C) QRS
D) None of the above
Answer:
Option B
Step-by-step explanation:
The Triangle given is ΔABC.
It is reflected over l mirror so it will form a image like ΔQRS.
Again the triangle is reflected over mirror m so it will form a image like ΔXYZ.
HELP ASAP! GIVING BRAINLIEST!!
Which triangle is a reflection of triangle ABC over the x-axis?
A) DEF
B) GHI
C) JKL
D) MNO
Answer:
D) MNO
Step-by-step explanation:
A) and B) are over the y axis
C) is over both axes
D) is correct: it is a reflection over the x axis.
Answer:
The answer is D
Step-by-step explanation:
Two cyclists, Alan and Brian, are racing around oval track of length 450m on the same direction simultaneously from the same point. Alan races around the track in 45 seconds before Brian does and overtakes him every 9 minutes. What are their rates, in meters per minute?
Answer:
Alan: 200 m/min
Brian: 150 m/min
Step-by-step explanation:
Given : Two cyclists, Alan and Brian, are racing around oval track of length 450m on the same direction simultaneously from the same point. Alan races around the track in 45 seconds before Brian does and overtakes him every 9 minutes.
To find : What are their rates, in meters per minute?
Solution :
Let n represent the number of laps that Alan completes in 9 minutes.
Then n-1 is the number of laps Brian completes.
45 seconds = 3/4 minutes.
The difference in their lap times in minutes per lap is
[tex]\frac{9}{(n -1)}-\frac{9}{n} =\frac{3}{4}[/tex]
Solving the equation we get,
[tex]\frac{9n-9n+9}{n(n -1)} =\frac{3}{4}[/tex]
[tex]9\times 4=3\times n(n -1)[/tex]
[tex]36=3\times n(n -1)[/tex]
[tex]n^2-n-12=0[/tex]
[tex]n^2-4n+3n-12=0[/tex]
[tex]n(n-4)+3(n-4)=0[/tex]
[tex](n-4)(n+3)=0[/tex]
[tex]n=4,-3[/tex]
Neglecting n=-3
So, n=4
Then Alan's speed in m/min is
[tex]S=\frac{D}{T}[/tex]
[tex]S_a=\frac{4\times 450}{9}[/tex]
[tex]S_a=200 m/min[/tex]
Brian completes 3 laps in that 9-minute time, so his rate is
[tex]S_b=\frac{3\times 450}{9}[/tex]
[tex]S_b=150 m/min[/tex]
Therefore, Alan: 200 m/min
Brian: 150 m/min
The equation shows the relationship between x and y: y = −7x + 9 What is the slope of the equation?
A. −7
B. −2
C.7
D. 9
Answer:
A (-7)
Step-by-step explanation:
compare y = −7x + 9 to the slope-intercept form of the equation of a straight line: y = mx + b.
Here -7 corresponds to the slope, m, and 9 corresponds to the y-intercept, b.
The slope of the line represented by y = −7x + 9 is thus A (-7).
Final answer:
The slope of the equation 'y = -7x + 9' is represented by the coefficient of x, which is -7. Thus, the slope of the line is -7.
Explanation:
The equation given is y = -7x + 9. In this equation, -7 is the coefficient of x, and according to the slope-intercept form of a linear equation, which is y = mx + b, the coefficient m represents the slope of the line. Therefore, the slope of the equation y = -7x + 9 is -7.
To confirm, consider that the slope is the amount by which y changes for a unit change in x. So if you were to plot this line, for every one unit increase in x, y would decrease by 7 units, indicating a negative slope. This is consistent with the negative sign in front of the 7 in the equation. Hence, the correct answer is A. -7.
what is x^2=7x
number 9
Let's do this in steps, show your work!
#1. We need to move all terms to one side.
x^2 - 7x = 0
#2. Then factor out the common term x.
x(x - 7) = 0.
#3. Simplify to get..
x = 0, 7.
If you need help with any other question let me know.
What is the slope of a line that is perpendicular to the line x=-3?
A.-3
B.0
C.1/3
D.undefined
Answer:
B. 0
Step-by-step explanation:
The line x = -3 is vertical, thus undefined, because there is no y in the equation. The slope that is perpendicular to an undefined one is 0.
x = 3 is a vertical line.
A line perpendicular to x = 3 is a horizontal line.
A horizontal line has slope = 0.
General formula for a straight line
The general formula for a straight line is ‘y=mx+c'.
But in the equation ‘x = -3’, ‘y' isn't present meaning that the line is independent of ‘y' which is true for a line parallel to the ‘y-axis'. This case can be compared to a generic equation ‘x=a' where a is the distance of the parallel line (to y-axis') from the origin.
This line represents a parallel line to the y-axis which is 3 units left side from the origin.
Now about calculating the slope, we can use the formula ‘m = tan ϴ’
where ‘m' is the slope and ‘ϴ’ is the angle of the line with the X-axis.
Here the value of ϴ is 90° as it is parallel to the y-axis. So the line perpendicular to it will surely have ϴ=0°. Which will be parallel to the
x-axis.
Another method of explaining this can be, for ϴ=90°, m=tan(90),
so m= infinity. if the slope of the line parallel to it is ’n', the relation between the slope of two perpendicular lines is ‘[tex]m*n=-1[/tex]’. Putting the value of ‘m=infinity' we get ‘n=0’.
Now for getting n=0 the angle must be O° as tan(0°)=0 which is nothing but a line parallel to the x-axis.
Therefore, the correct answer is option B.0.
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PLEASE HELP!!!!!!
Find the number of ways in which 9 people can be divided into 2 groups: the first group has 5 people and the second group has 4 people.
Tony’s credit card statement says that he must pay a minimum payment of 15% or $20 whichever is greater. How much will he pay if his new balance is $138.90
Answer: $20.84
Step-by-step explanation: In order to calculate Tony’s minimum payment you need to calculate how much 15% is of his balance.
138.90 x .15 = $20.84, which is 15% of his balance.
The minimum payment is the greater of 15% or $20, so his minimum payment will be $20.84.
The answer is $188.90. If I am wrong, please correct me.
The dimensions of a bathroom floor are 25 inches by 45 inches what is the floors area in square inches
♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫
➷To find the area you need to multiply length and width.
45*25 = 1125 square inches for the area
✽
➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
DOGE
♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫
➷ To find the area of the floor, you need to multiply the length and the width.
Width:25 inches
Length:45 inches
Multiply: 45*25=1125
Final answer:
1125 square inches
✽
➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
TROLLER
Let’s say we want to find the size of a deer population. Suppose that we capture 80 deer, tag them, and release them back into the forest. After some time has passed—allowing the marked deer to thoroughly mix with the rest of the population—we come back and capture another 100 deer. Out of these deer, we find that 20 are already marked. Using this information, what can you estimate the deer population to be?
A. 1,000
B. 400
C. 200
D. 800
E. 600
Answer:
400
Step-by-step explanation:
20/100 = 80/x
Cross multiply and divide
100 X 80 = 8000 / 20 = 400
The total deer population in the forest will be 400. Then the correct option is B.
What are ratio and proportion?A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.
Suppose we need to track down the size of a deer populace. Assume that we catch 80 deer, label them, and deliver them back into the timberland. After some time has elapsed - permitting the noticeable deer to completely blend in with the remainder of the populace - we return and catch another 100 deer. Out of these deer, we observe that 20 are as of now checked.
Then the ratio of the number of tag deer to the total deer will be constant. Then the equation is given as,
20 / 100 = 80 / x
x = 80 × (100/20)
x = 400
The total deer population in the forest will be 400. Then the correct option is B.
More about the ratio and the proportion link is given below.
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find missing term.x/x2-4x+4-x/x2-3x+2= ?/(x-2)2(x-1)
Answer:
-3x
Step-by-step explanation:
x x
----------------- - --------------------
x^2 -4x + 4 x^2-3x+2
x x
= ---------------- - --------------------
(x -2)^2 (x - 2)(x - 1)
x (x-1) - x(x +2)
= ----------------------------
(x -2)^2 (x - 1)
x^2 -x -x^2 - 2x
= --------------------------
(x -2)^2 (x - 1)
-3x
= -----------------------
(x -2)^2 (x - 1)
Therefore; the missing term is -3x
A line has a rise of 3 and a run of 12. Find the slope of the line. Type a numerical answer in the space provided. If necessary, use the / key to represent a fraction bar.
Because the formula is rise over run, it would be 3/12, and simplified is 1/4.
What is the value of y in the equation y − 7 = 21? (4 points)
Select one:
a. 7
b. 17
c. 21
d. 28
Answer:
D. 21
Step-by-step explanation:
28-21=7
28-7=21
A rectangular prism has a volume of 189cm^3. The height of the prism is 3cm. What are the dimensions of the base
Answer:
l = 9 cm
b = 7 cm
h = 3 cm
Step-by-step explanation:
Formula:-
Volume of cuboid = lbh
l - Length of cuboid
b - breadth of cuboid
h - Height of cuboid
To find the dimensions of prism
Here prism is like a cuboid.
Volume of prism = 189 cm^3
Height h = 3 cm
Volume = lbg
189 = l * b* 3
l * b = 189/3 = 63 = 9 * 7
Therefore l and b may be 9 and 7
A pizza company makes pizza in three different sizes: small, medium, and large. There are four popular toppings: pepperoni, sausage, green pepper, and mushroom. How many different kinds of pizza with one topping are available?
Hey there!
The correct answer should be 12
Since there are 3 different pizza sizes & 4 different toppings, all we have to is multiply 3 by 4 (number of pizza sizes multiplied by the number of toppings)
3 * 4 = 12
Here is the work:
1. Small with pepperoni
2. Medium with pepperoni
3. Large with pepperoni
4. Small with sausage
5. Medium with sausage
6. Large with sausage
7. Small with green pepper
8. Medium with green pepper
9. Large with green pepper
10. Small with mushroom
11. Medium with mushroom
12. Large with mushroom
As you can see, there are 12 options
Hope this helps you!
God bless ❤️
xXxGolferGirlxXx
What is the length,width,and height
Answer:
5 cubic units
Step-by-step explanation:
If each cube represents 1 cubic unit, then the volume will be the number of cubes to make the figure. When you count, there are 5 cubic units. The volume is 5.
Can someone please help me with this?
Step-by-step explanation:
3) adjacent angles add up to 180°
4)substitution property of equality
5) subtraction property of equality
dovon answered 23, out of 25 problems on a math test correctly what percent of the problems did devon answerbcorrectly
92%. 23 divided by 25 is .92 pretty much meaning he got a 92 on that math test (A-)
Devon answered 92% of the problems that were applied on test correctly.
What is percentage?Percentage is a way of expressing a proportion or a fraction as a portion of 100. It is commonly used to compare quantities, indicate relative amounts, or express the part-to-whole relationship.
The term "percent" originates from the Latin phrase "per centum," meaning "by the hundred." It is represented by the symbol "%".
We know that;
Percent = Correct answers/Total answers * 100/1
= 23/25 * 100/1
92%
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Credit unions are not subject to federal regulations. A. True B. False
Answer:
The correct answer is (FALSE)
Step-by-step explanation:
(APEX)
The statement is false. Credit Unions are subject to federal regulations and are overseen by the National Credit Union Administration (NCUA) in the United States.
Explanation:The statement, 'Credit unions are not subject to federal regulations,' is False. Credit unions, like other financial institutions, must adhere to several federal regulations. The National Credit Union Administration (NCUA) is the federal agency that charters and supervises federal credit unions in the United States. Among other duties, it's their role to administer the National Credit Union Share Insurance Fund (NCUSIF), which provides deposit insurance for credit union members, much like the FDIC does for bank customers.
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Which mathematical terms originated from the Arabic mathematician al-Khwarizmi
Final answer:
Algebra and algorithm are mathematical terms originating from al-Khwarizmi, a prominent Arab mathematician.
Explanation:
Algebra and algorithm are two mathematical terms that originated from the Arabic mathematician al-Khwarizmi. Al-Khwarizmi's work in the ninth-century book 'ilm al-jabr wa'l-muqabala laid the foundation for these terms and significantly influenced the field of mathematics.
Jenelle has a piece of wire that is 0.30 feet long. She needs 2.5 times that length to hang a painting. What length of wire does she need
Answer:
She needs 0,75 ft of wire
Step-by-step explanation:
Hello
She needs (0.30 ft)*(2.5) = 0,75
Best regards
Which congruency statement is true?
bc = fg
the letters should correspond with each other
(b is in the middle of abc and f is in the middle efg; c & g are both at the end)
What is the quotient?
Answer: FIRST OPTION
Step-by-step explanation:
According the quotient of powers property, when you have the division of two powers with the same base, then you must subtract the exponents.
Therefore, keeping the property above on mind, you have that the quotient is the shown below:
[tex]\frac{(-7)^2}{(-7)^{-1}}=(-7)^{(2-(-1))}=(-7)^{(2+1)}=(-7)^3=-343[/tex]
Find the surface area of the prism
Answer:
80
Step-by-step explanation:
times it all
Answer:
68 in^2
Step-by-step explanation:
Bottom and Top
base of parallelogram = 4*4 = 16
Since there are two of them, the area = 2 * 16 = 32
left and right faces
I think you have to assume this is a rectangle. We do not know the height for a parallelogram.
Area = l*w
Area = 4 * 2.5
Area = 10 in^2
But there are two of them.
Area = 2* 10 = 20 in^2
Front and back faces
The area is the area of a parallelogram
Area = b * h
Area = 2 * 4
Area = 8 in^2
But there are 2 of them
The area for 2 is 8*2 = 16 in^2
Total Area
Total Area = 16 + 20 + 32
Total Area = 68 in^2