The statement that is true about the function f(x)=4[tex]x^{5}[/tex] is that the function is odd because f(-x)=-f(x).
Given that the function is f(x)=4[tex]x^{5}[/tex].
We are required to choose which statement is true for the given function.
Function is basically the relationship between two or more variables that are expressed in equal to form. The values that enter in the function are known as part of domain of the function and the values that we get from the function are known as part of range of the function.
f(x)=4[tex]x^{5}[/tex]
f(-x)=4[tex](-x)^{5}[/tex]
Since the power of negative x is odd so the result which we will get will be negative. So,
f(-x)=-4[tex]x^{5}[/tex]
f(-x)=-f(x)
So, the function is odd.
Hence the statement that is true about the function f(x)=4[tex]x^{5}[/tex] is that the function is odd because f(-x)=-f(x).
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True or False:
The Commutative Property of Multiplication states that for all expressions a and b, ab = ba.
George has a triangle-shaped garden in his backyard. He drew a model of this garden on a coordinate grid with vertices A(4, 2), B(2, 4), and C(6, 4). He wants to create another, similar-shaped garden, A'B'C', by dilating triangle ABC by a scale factor of 0.5. What are the coordinates of triangle A'B'C'? A. A'(2, 2), B(1, 2). C'(3, 2) B. A'(2, 1), B(1, 2). C'(3, 2) C. A'(8,4), B'(4, 8), C'(12, 8) D. A(2, 1), B(1, 2), C'(6, 4)
Hello, we have drawn the triangular region indicated in the first photo and we will find the side lengths of the triangle by means of the right triangles you see in red and green. (Using the Pythagorean Theorem) The triangular region indicated represents an isosceles triangle. Its base is [tex]4[/tex] units.
Next, we take half the length of the sides. Draw a triangle with base [tex]2[/tex] units and each of its lateral sides with [tex]\sqrt{2}[/tex] units.
Only Option B meets this condition. I wish you success.
PLEASE HELP!!!
Josie is participating in a charity bike ride. This table and graph represent her performance during the ride where x is the number of hours Josie rides and y is her distance from the finish line. Match the quantity to the correct feature and interpretation.
Hours (x) 0 2 4 6 Kilometers away from finish line (y) 75 50 25 0
(ur answer) The x-intercept. The amount of time, in hours, that has passed when Josie completes the race.
(ur answer) The y-intercept. Josie's distance, in kilometers, from the finish line when she begins the ride.
(ur answer) The slope: the absolute value of the slope represents the speed Josie is riding in kilometers per hour.
ANSWERS TO PUT IN:
1. -25/2
2. 6
3. 75
The value of the x-intercept is 6, the y-intercept is 75, and the value of the slope is -25/2.
What is the slope?The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
The x-intercept from the graph(where y = 0)
The x-intercept = 6
The y-intercept from the graph(where x = 0)
The y-intercept = 75
The slope can be found using two points: (0, 75) and (2, 50)
[tex]\rm m =\dfrac{50-75}{2-0}[/tex]
m = -25/2
Thus, the value of the x-intercept is 6, the y-intercept is 75, and the value of the slope is -25/2.
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What’s the answer plss
Answer:
∠M
Step-by-step explanation:
∠M is the only vertex that does not already have an indicated angle. There are three vertexes, being 90° at ∠K (the box-like figure means it is a right angle, therefore 90°) , 61° at ∠N , and ∠M, which does not have a given angle.
can someone please help me !!!!!!!!!!!!!!!!!!!!!!!!11
answer
: I think it's -70 I'm not 100 percent sure but I think
Answer:
m is undefind
Step-by-step explanation:
sorry for the scribbles i got confused
m=m
HELP ME PLEASE WILL GIVE BRAINLIEST!!!!
Answer:
F
Step-by-step explanation:
The shape ABCD is reflected over the given line. If you were to fold the shape over to overlap the new figure FGHI, point A would correspond with point F
Answer: F.
Step-by-step explanation:
because that's the answer.
Ben sells greeting cards for $5 each in his online store. He also charges $1.99 for shipping. The total
cost, y, of an order from Ben’s store is found using the equation y = 5x + 1.99, where x is the number of
cards bought. Which quantity represents the dependent variable in this problem situation?
The quantity which represents the dependent variable in this problem situation is: A. the number of cards sold.
The types of variables.In Mathematics, there are two (2) main types of variables and these include the following:
Dependent variable.Independent variable.What is a dependent variable?A dependent variable can be defined as the variable which signifies the effect of an independent variable and it is dependent on other factors because it's the part of an experiment that's being observed or measured.
Based on the information provided in this scenario, we can reasonably infer and logically deduce that the dependent variable is the number of greeting cards sold by Ben.
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Complete Question:
Ben sells greeting cards for $5 each in his online store. He also charges $1.99 for shipping. The total cost, y, of an order from Ben’s store is found using the equation y = 5x + 1.99, where x is the number of cards bought. Which quantity represents the dependent variable in this problem situation?
A. the number of cards sold
B. the total cost of an order
C. the cost of one card
Solve the simultaneous equations.
x^2+y^2=13
y=x+1
Solving the simultaneous equation gives x as 2 and y as 3
How to solve the simultaneous equationFrom the information given, we have the equations as;
x² + y² = 13 equation (1)y = x + 1 equation (2)Now, substitute the value of y as x + 1 in equation (2) into the equation (1)
We have;
x² + (x + 1)² = 13
expand the bracket
x² + (x + 1)(x+1) = 13
x² + x² + x + x +1 = 13
collect like terms
2x² + 2x + 1 - 13 = 0
2x² + 2x - 12 = 0
Factorize the equation
2x² + 6x - 4x - 12 = 0
Factor the common terms
2x(x + 3) - 4(x + 3) = 0
2x - 4 = 0
x = 2
x = -3
Substitute x as 2 into equation (2)
y = x + 1
y = 2 + 1
y = 3
Hence, the values are 2 and 3
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What is the prime factorization of 175?
Answer: 5 x 5 x 7
Step-by-step explanation: 5 x 5 x 7
In Exponential Form:
52 x 71
CSV Format:
5, 5, 7
Prime[3] = 5, Prime[4] = 7
For a craft project you need 114 inches of ribbon, but it is only sold by the meter. Determine the amount of ribbon, in meters, you need to buy for the project. (1 inch = 2.54 centimeters and 1 centimeter = 0.01 meter)
29
290
3
12
The length of the ribbon used for the craft project is 3 meters
The length of ribbon need for the craft project = 114 inches
So, the length of the ribbon need to be in meters .
Thus, we can convert inched to centimeter by
1 inches = 2.54 centimeters
We know that 1 cm = 0.01 m
Thus , 1 inch = 2.54 x 0.01 m
1 inch = 0.0254 m
Then for length of 114 inch ,
114 inch = 0.0254 x 114 meters
= 2.89
≈ 3 meters
Therefore , the length of the ribbon is 3 meters
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(C): 3 meters.
Step-by-step explanation: The answer is 3 meters. The way to find this is relatively easy.
1. First, write 114 x 2.54.
2. Which is 289.56. Next, we convert 389.56 centimeters to meters.
3. That should give you 2.89. Because 8 is bigger than 4, we round up.
4. Now our answer is 3.
AFTER MESSAGE: I hope this helps! This is my first answer in a while, so forgive me if it is complicated. Also, give brainliest to other guy, he was here first.
Thank you!
Solve for x
1.5x = 25+x
Answer:
x = 50
Step-by-step explanation:
in pic
i dont know the answer ..can i get help?
help please please please
Answer:
Step-by-step explanation:
-1 + 14x = 12x + 17
-12x -12x
-1 + 2x = 17
+1 +1
2x = 18
x is equal to 9
hope this helps!
10/3 = 10 × 10 × 10=
Answer:
Step-by-step explanation:
10 x 10 x 10 = 1000
10/3 = 3.333333
write an equivalent expression to (x + 2) + 5y
Answer:
5y + x + 2 is one.
Step-by-step explanation:
Another one: x + (2 + 5y)
PLEASE HELP ASAP WILL GIVE BRAINLIEST AND 100 POINTS.
Answer:
1. 14
2. 25
3. 22
4. 25
5. 8
Step-by-step explanation:
These are actually simple linear equations disguised as geometry.
Image 1.
the triangle is an isosceles triangle, so 2x = 50
sum in triangle is 180, so
5y+10 = 180 - 2*50
5y = 70
y = 14
Image 2.
the triangle is an isosceles triangle, so AB=BC
5x+5 = 7x-1
5 = 2x-1
2x = 6
x = 3
AC = 6x+7 = 18+7 = 25
Image 3.
the triangle is an isosceles triangle, so AC=AB
2x-24 = x-2
x-24=-2
x = 22
BC = x = 22
Image 4.
The triangle is an equilateral triangle, so AB=BC=AC
3x-5=2x+20
x-5=20
x=25
Image 5.
The triangle is an equilateral triangle, so every angle is 60 degrees
7x+4 = 60
7x = 56
x = 8
Focus (5, 6) and Directrix x = 1
Answer:
kitchen scaleuwueieie
Hi help with this please
Kate's middle school graduation party will be at the skating rink. The cost for each person is $15. The cost of the room for the party's $80 katies parents have set a budget of $478.
Given the function 15z +80=470, determine the maximum number of people who can be at the party.
Answer:
26 people
Step-by-step explanation:
15z +80 = 478
15z = total cost of the people
80 = cost of room
478 = budget
15z + 80 = 478
Subtract 80 from both sides
15z = 398
z = 26.53333
You can't have a decimal person
z = 26
Hope this helps :)
Have a nice day
please help!
The Equation P= 2.5m + 35 represents the price P (in dollars) of a bracelet, where m is the cost of the materials (in dollars). The price of a bracelet is $115. What is the cost of the materials?
Answer:
The cost of materials is $32.
Step-by-step explanation:
You can solve this in a simple manner:
115 = 2.5m + 35
115-35 = 2.5m
80 = 2.5m
m = 32
You can check your answer by putting 32 back into the equation(P=2.5m+35) and you should get 115(which is price of bracelet)
NEED ANSWER ASAP
any answers are appreciated
part a. use the diagram to write an equation and solve for x. show your work
part b. use your answer from part a for x, and find the measure of both angles. select two answers
- 116
- 68
- 61
- 112
- 119
- 64
Answer:
×= 38
2x-15 = 61°
3×+5= 119°
Step-by-step explanation:
2×-15+3x +5= 180
180+10= 190
190 ÷5x
×=38
Answer:
a) x = 38
b) 61° and 119°
Step-by-step explanation:
Same-side Exterior Angles Theorem
When two parallel lines are intersected by a transversal, the angles that are exterior to the parallel lines and on the same side of the transversal line are supplementary (sum to 180°).
Part (a)Using the Same-side Exterior Angles Theorem, equate the sum of the two angles to 180° and solve for x:
⇒ (2x - 15)° + (3x + 5)° = 180°
⇒ 2x - 15 + 3x + 5 = 180
⇒ 5x - 10 = 180
⇒ 5x = 190
⇒ x = 38
Part (b)Substitute the found value of x from part (a) into the expressions for each angle:
⇒ (2x - 15)°
⇒ (2(38) - 15)°
⇒ (76 - 15)°
⇒ 61°
⇒ (3x + 5)°
⇒ (3(38) + 5)°
⇒ (114 + 5)°
⇒ 119°
Therefore, the two angles are 61° and 119°.
does anyone know how to graph trigonometric functions for algebra 2?
Solution:
Give the following below
[tex]\begin{gathered} amplitude=3 \\ period=\frac{\pi}{2} \\ midline,\text{ }y=-1 \\ Passing\text{ through the point }(0,2) \end{gathered}[/tex]To find the cosine function, we will apply the general formula for cosine function below
[tex]\begin{gathered} f(x)=a\cos(bx-c)+d \\ Where \\ a\text{ is the amplitude} \\ b\text{ represents the speed of the cycle} \\ d\text{ is the vertical shift} \\ \frac{c}{b}\text{ is the phase shift \lparen horizontal shift\rparen} \\ Period=\frac{2\pi}{b} \end{gathered}[/tex]To find the value of b
[tex]\begin{gathered} Period=\frac{\pi}{2} \\ \frac{2\pi}{b}=\frac{\pi}{2} \\ Crossmultiply \\ b\times\pi=2\times2\pi \\ b=\frac{4\pi}{\pi} \\ b=4 \end{gathered}[/tex][tex]\begin{gathered} a=3 \\ b=4 \\ d=-1 \\ c=0 \end{gathered}[/tex]Substitute the values of the variables into the general formula for cosine function
[tex]\begin{gathered} f(x)=a\cos(bx-c)+d \\ f(x)=3\cos(4x-0)-1 \\ f(x)=3\cos4x-1 \end{gathered}[/tex]Applying a graphing tool,
The graph of one cycle of the function is shown below
Sydney is 5 feet and 1 inch tall. What would her height be in centimeters? (1 foot = 12 inches, 1 inch = 2.54 centimeters
Eli has a points card for a movie theater.
• He receives 40 rewards points just for signing up.
• He earns 7.5 points for each visit to the movie theater.
• He needs 100 points for a free movie ticket.
How many visits must Eli make to earn a free movie ticket?
Answer:
8 visits
Step-by-step explanation:
x=# of visits
100=40+7.5x
60=7.5x
x=8
hope this helps :)
Answer:
A
tyler has a points card for a movie theater.
he receives 75 rewards points just for signing up.
• he earns 10.5 points for each visit to the movie theater.
he needs 180 points for a free movie ticket.
.
a
how many visits must tyler make to earn a free movie ticket?
Step-by-step explanation: hqwediywydgwq78d
I need help I have to trun it in I have like 5 minutes
Simplifying the given expression, the passcode would be: CDOPWR.
How to Simplify an Expression?To simplify an expression means to solve to find the value in its simplest form.
Simplify the given expression as explained below:
P. 1/2 + 2/3 - 4.25
= 1.17 + 4.25 [addition]
= 5.42
R. -7 * -4 + 3.5
28 + 3.5 [multiply before adding based on PEMDAS]
= 31.5
D. -5.6 + 2.7 - 3.2 = -6.1
W. 3/4 - 0.25 + 6.8
0.75 - 0.25 + 6.8 = 7.3 [apply PEMDAS]
C. -2 * 4.3 - 7.1 [apply PEMDAS]
= -8.6 - 7.1
= -15.7
O. 1/2 + 0.5 - 2/5 [convert all fractions to decimals]
0.5 + 0.5 - 0.4 = 0.6
From the least to the greatest, the passcode would be: CDOPWR.
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Grab the image of kite EFGH after of a reflection over the line y=1
Please help I’m literally about to cry
Check the picture below.
Find the midpoint between coordinates (-8,6)
and (-10,4)
Answer:
(-9, 5)
Step-by-step explanation:
A midpoint is the point, or center at the middle of two given points.
The midpoint formula:
[tex](Xm, Ym)= (\frac{x1 + x2}{2}), (\frac{y1 + y2}{2})[/tex]
X1, Y1 is an endpoint
X2, Y2 is an endpoint.
Explanation:
X1, Y1= (-8, 6)
X2, Y2= (-10, 4)
[tex]Xm, Ym= \frac{(-8)+(-10)}{2}, \frac{(6+(4)}{2}[/tex]
[tex]Xm, Ym= \frac{-18}{2}. \frac{10}{2} \\\\Xm, Ym= (-9, 5)[/tex]
The Midpoint is (-9, 5)
Three sisters share some money. the oldest gets 5/11 of the share. The older gets 7/12 of the remainder. what fraction of the money does the old girl gets?
The fraction of the money the old girl gets is 7x/22 and the oldest gets 5x/11.
How much does an older girl get?Given,
Oldest gets 5/11 of the share.
The older gets 7/12 of the remainder.
Solution:
Let x be the total amount.
Oldest share = 5/11*x
= 5x/11
Older share =( x - 5/11*x)*7/12
= (11x-5x/11)*7/12
= 6x/11*7/12
= 42x/132
= 21x/66
=7x/22
The fraction of the money the old girl gets is 7x/22 and the oldest gets 5x/11.
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Find an equation for the perpendicular bisector of the line segment whose endpoints are (3,−7) and (−9,−1)
The equation for the perpendicular bisector of the given line segment is y = 2x + 2.
Here, we are given a line segment with end points (3,−7) and (−9,−1)
Thus, the slope of the line can be calculated as-
(y1 - y2)/ (x2 - x1)
= (-1 + 7)/ (-9 - 3)
= 6/ -12
= -1/2
Now, since we the slope of 2 lines that are perpendicular to each other is negative of the reciprocal, thus-
slope of the perpendicular bisector = 2
Now, the midpoint of the given line segment will be-
{(x1 + x2)/2, (y1 + y2)/2}
= {(3-9)/2, (-7-1)/2}
= {-6/2, -8/2}
= (-3, -4)
Now, we can use the point slope form to find the equation of the perpendicular bisector-
(y- y1) = m(x - x1) where m is the slope and (x1, y1) is a point on the line.
⇒ (y+4) = 2(x+3)
y + 4 = 2x + 6
y = 2x + 2
Thus, the equation for the perpendicular bisector of the given line segment is y = 2x + 2.
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A student believes there is a correlation between the number of texts sent during class and gpa. the student collected data and found that the line of fit can be modeled by the equation ŷ = 3.9 − 0.1x. identify and interpret the slope in this scenario. the slope is 3.9. starting at 0.1, the gpa will increase by 3.9 for every text sent in class. the slope is 3.9. starting at 0.1, the gp will decrease by 3.9 for every text sent in class. the slope is −0.1. starting at 3.9, the gpa will increase by 0.1 for every text sent in class. the slope is −0.1. starting at 3.9, the gpa will decrease by 0.1 for every text sent in class.
The slope is -0.1 starting at 3.9, the GPA will decrease by 0.1 for each text sent in class.
Here we have to find the slope.
The equation given is:
y = 3.9 - 0.1x
As we know that the equation of a line is:
y = mx + c
Therefore we get that the slope is m = -0.1
Starting at 3.9 the GPA will decrease by 0.1 for every text sent in class ( for y = mx + b, a is the slope which is the coefficient of x)
Because the slope is less than 0, it is decreasing.
Therefore the slope is -0.1 and there is a decrease in GPA of 0.1.
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