Answer:
1. Even
2. Neither
3. Even
4. Odd
Equations: 1 and 3 are even
Step-by-step explanation:
1. f(-x) = (-x)^4 - (-x)^2
= x^4 - x^2 Even
2. f(-x) = (-x)^2 - 3(-x) + 2
= x^2 + 3x + 2 Neither
3. f(-x) = -2
= -2 Even
4. f(-x) = 5(-x)
= -5x Odd
I hope this helps!
Witch is greater 76.201 or 76.187
Answer:
76.201 is greater than 76.187
hello help me with this question thanks in advance
[tex]\bold{\huge{\underline{ Solution \:1 }}}[/tex]
Figure 1 :-Here, we
One triangle and AB acts as a bisector for RT and ST. The length of AT and AR are 15 and 5The length of BT and BS are 12 and 4By using basic proportionality theorem :-
This theorem states that if a line which is parallel to the side of triangle intersect other to sides then the line which divides the other two sides are in proportion that means the ratios are equalThat is,
[tex]\sf{\dfrac{ AT}{RT }}{\sf{=}}{\sf{\dfrac{BT}{ST}}}[/tex]
Subsitute the required values,
[tex]\sf{\dfrac{ 8 }{ 8 + 11 }}{\sf{=}}{\sf{\dfrac{7}{7 +10}}}[/tex]
[tex]\sf{\dfrac{ 8 }{ 19}}{\sf{=}}{\sf{\dfrac{7}{17}}}[/tex]
[tex]\sf{\dfrac{ 8 }{ 19}}{\sf{≠}}{\sf{\dfrac{7}{17}}}[/tex]
Hence, AB is not parallel to RS
Figure 2 :-Here, we have
One triangle and AB acts as a bisector for RT and ST. The length of AT and AR are 8 and 11The length of BT and BS are 7 and 10By using basic proportionality theorem :-
That is,
[tex]\sf{\dfrac{ AT}{RT }}{\sf{=}}{\sf{\dfrac{BT}{ST}}}[/tex]
Subsitute the required values,
[tex]\sf{\dfrac{ 15 }{ 15 + 5 }}{\sf{=}}{\sf{\dfrac{12}{16}}}[/tex]
[tex]\sf{\dfrac{15 }{ 20}}{\sf{=}}{\sf{\dfrac{12}{16}}}[/tex]
[tex]\sf{\dfrac{ 3}{ 4}}{\sf{=}}{\sf{\dfrac{3}{4}}}[/tex]
Hence, AB is parallel to RS
[tex]\bold{\huge{\underline{ Solution\: 2}}}[/tex]
Here, we have
Triangle ABC and DE || BC The length of AB = 12 , AD = 4 , DE = 6 and AC = 24 .Part 3 :-
By using basic proportionality theorem,
This theorem states that if a line which is parallel to the side of triangle intersect other to sides then the line which divides the other two sides are in proportion that means the ratios are equalThat is,
[tex]\sf{\dfrac{ AD}{AB }}{\sf{=}}{\sf{\dfrac{AE}{AC}}}[/tex]
Subsitute the required values,
[tex]\sf{\dfrac{ 4}{12 }}{\sf{=}}{\sf{\dfrac{AE}{24}}}[/tex]
[tex]\sf{\dfrac{ 4}{12 }}{\sf{{\times} 24= AE}}[/tex]
[tex]\sf{ AE = 4 {\times} 2 }[/tex]
[tex]\sf{ AE = 8 }[/tex]
Hence, The length of AE is 8
Part 4 :-Again , By using Basic proportionality theorem :-
That is
[tex]\sf{\dfrac{ AD}{AB }}{\sf{=}}{\sf{\dfrac{DE}{BC}}}[/tex]
Subsitute the required values,
[tex]\sf{\dfrac{ 4}{12 }}{\sf{=}}{\sf{\dfrac{6}{BC}}}[/tex]
[tex]\sf{\dfrac{ 1}{3 }}{\sf{=}}{\sf{\dfrac{6}{BC}}}[/tex]
[tex]\sf{ BC = 6 {\times} 3 }[/tex]
[tex]\sf{ BC = 18 }[/tex]
Hence, The length of BC is 18 .
30 percent off entire purchase the gloves cost $35 before the discount
2. A bike costs
A
$650. During
Sale it is marked
Idown 35%. What is
the sale price of the
bike?
I need the process as well, Please answer fast!!!
Answer:
$422.50
Step-by-step explanation:
Given the following question:
35% of 650
To find the answer we must first calculate 35% of 650 by using the formula to calculate percentages. Then we will subtract that answer from the original price of the bike, which will give us our answer.
[tex]\frac{p\times n}{100}[/tex]
[tex]\frac{35\times650}{100}[/tex]
[tex]35\times650=22750[/tex]
[tex]22750\div100=227.5[/tex]
[tex]=227.50[/tex]
Now subtract from the original price:
[tex]650[/tex]
[tex]650-227.5=422.5[/tex]
[tex]=422.50[/tex]
The bike after a 35% markdown will cost "$422.50."
Hope this helps.
Consider the following functions.
f(x) = x^2 + 1
g(x) = f(x - 5)
h(x) = f(x+3)
Please help set the table up!
The table of values for the functions f(x) = x^2 + 1, g(x) = f(x - 5) and h(x) = f(x+3) is:
[tex]\left[\begin{array}{cccccc}x&f(x)&x&g(x)&x&h(x)\\-2&5&-2&50&-2&2\\-1&2&-1&37&-1&5&0&1&0&26&0&10&1&2&1&17&1&17&2&5&2&10&2&26\end{array}\right][/tex]
How to set up the tableThe equations of the functions are given as:
[tex]f(x) = x^2 + 1[/tex]
[tex]g(x) = f(x - 5)[/tex]
[tex]h(x) = f(x+3)[/tex]
For function f(x), we have:
f(-2) = (-2)^2 + 1 = 5
f(-1) = (-1)^2 + 1 = 2
f(0) = (0)^2 + 1 = 1
f(1) = (1)^2 + 1 = 2
f(2) = (2)^2 + 1 = 5
For function g(x), we have:
g(-2) = f(-2 - 5) = f(-7) = (-7)^2 + 1 = 50
g(-1) = f(-1 - 5) = f(-6) = (-6)^2 + 1 = 37
g(0) = f(0 - 5) = f(-5) = (-5)^2 + 1 = 26
g(1) = f(1 - 5) = f(-4) = (-4)^2 + 1 = 17
g(2) = f(2 - 5) = f(-3) = (-3)^2 + 1 = 10
For function h(x), we have:
h(-2) = f(-2 + 3) = f(1) = (1)^2 + 1 = 2
h(-1) = f(-1 + 3) = f(2) = (2)^2 + 1 = 5
h(0) = f(0 + 3) = f(3) = (3)^2 + 1 = 10
h(1) = f(1 + 3) = f(4) = (4)^2 + 1 = 17
h(2) = f(2 + 3) = f(5) = (5)^2 + 1 = 26
Substitute the above values in the blank table.
So, we have:
[tex]\left[\begin{array}{cccccc}x&f(x)&x&g(x)&x&h(x)\\-2&5&-2&50&-2&2\\-1&2&-1&37&-1&5&0&1&0&26&0&10&1&2&1&17&1&17&2&5&2&10&2&26\end{array}\right][/tex]
Read more about tables and functions at:
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1
If 3 dogs equally share pound of dog
food what share will each dog get?
2
Answer:
.333 pounds hope this helps
Write the equation of the circle that has a center of (-7, 17) with
a radius of V19.
I think your question seems to be :-
Write the equation of the circle that has a center of (-7, 17) with a radius of √19
So , as we know that the equation of circle with centre at (h,k) and radius r is given by [tex]{\bf{(x-h)^{2}+(y-k)^{2}=r^{2}}}[/tex] . Now , using same concept in this question ;
[tex]{:\implies \quad \sf \{x-(-7)\}^{2}+(y-17)^{2}=(\sqrt{19})^{2}}[/tex]
[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{(x+7)^{2}+(y-17)^{2}=19}}}[/tex]
This is the required equation of Circle
Jace and Lianna each baked a loaf of bread. jace cut his loaf into halves and lianna cut her loaf into thirds. Jace says they can use their loaves of bread to show the 1/2 is less than 1/3. lianna says they cant. who is correct explain why or why not
Answer:
Jace is correct they can use their loaves of bread to show 1/2 is less than 1/3. Because they have 2 loaves of bread
15 1/3 - 2 5/8 I need so much help on this type of stuff anyone pls tutor me
Answer: 12.7083333333
Step-by-step explanation: First you turn both numbers into a inproper fraction. Then you subtract and simplify.
please answer this question
We have the given indefinite integral ;
[tex]{:\implies \quad \displaystyle \sf \int \dfrac{x+1}{x(xe^{x}+2)}dx}[/tex]
We will use substitution hence to solving this integral
Now , put ;
[tex]{:\implies \quad \sf e^{x}=u}[/tex]
So that :
[tex]{:\implies \quad \sf dx=\dfrac{du}{u}\quad and\quad log(u)=x}[/tex]
Now , putting the values in the integral , it can be written as ;
[tex]{:\implies \quad \displaystyle \sf \int \dfrac{log(u)+1}{log(u)\{ulog(u)+2\}}\times \dfrac{du}{u}}[/tex]
Now , we will again use substitution method for making the integral easy. So put ;
[tex]{:\implies \quad \displaystyle \sf ulog(u)+2=v}[/tex]
So that ;
[tex]{:\implies \quad \displaystyle \sf du=\dfrac{dv}{log(u)+1}\quad and\quad ulog(u)=v-2}[/tex]
Now , we have ;
[tex]{:\implies \quad \displaystyle \sf \int \dfrac{\cancel{\{log(u)+1\}}}{log(u)v}\times \dfrac{dv}{\cancel{\{log(u)+1\}}u}}[/tex]
[tex]{:\implies \quad \displaystyle \sf \int \dfrac{dv}{v\{ulog(u)\}}}[/tex]
Now , putting the value of ulog(u) = v - 2
[tex]{:\implies \quad \displaystyle \sf \int \dfrac{dv}{v(v-2)}}[/tex]
Now , using partial fraction decomposition , ths given integral can be further written as ;
[tex]{:\implies \quad \displaystyle \sf \dfrac{1}{2}\int \left(\dfrac{1}{v-2}-\dfrac{1}{v}\right)dv}[/tex]
Now ,as integrals follow distributive property. So ;
[tex]{:\implies \quad \displaystyle \sf \dfrac{1}{2}\left(\int \dfrac{1}{v-2}dv-\int \dfrac{1}{v}dv\right)}[/tex]
[tex]{:\implies \quad \displaystyle \sf \dfrac{1}{2}(log|v-2|-log|v|)+C}[/tex]
[tex]{:\implies \quad \displaystyle \sf \dfrac{1}{2}log\bigg|\dfrac{v-2}{v}\bigg| +C}[/tex]
Putting value of v ;
[tex]{:\implies \quad \displaystyle \sf \dfrac{1}{2}log\bigg|\dfrac{ulog(u)+2-2}{ulog(u)+2}\bigg| +C}[/tex]
Now, putting value of u ;
[tex]{:\implies \quad \displaystyle \sf \dfrac{1}{2}log\bigg|\dfrac{e^{x}log(e^{x})}{e^{x}log(e^{x})+2}\bigg| +C}[/tex]
[tex]{:\implies \quad \displaystyle \sf \dfrac{1}{2}log\bigg|\dfrac{xe^{x}}{xe^{x}+2}\bigg| +C}[/tex]
[tex]{:\implies \quad \therefore \displaystyle \underline{\underline{\int \bf \dfrac{x+1}{x(xe^{x}+2)}dx=\dfrac{1}{2}log\bigg|\dfrac{xe^{x}}{xe^{x}+2}\bigg| +C}}}[/tex]
Used Concepts :- [tex]{\boxed{\displaystyle \bf \int \dfrac{1}{x}dx=log|x|+C}}[/tex][tex]{\boxed{\displaystyle \bf \dfrac{d}{dx}(u\cdot v)=v\dfrac{du}{dx}+u\dfrac{dv}{dx}}}[/tex][tex]{\boxed{\displaystyle \bf log(a)-log(b)=log\left(\dfrac{a}{b}\right)}}[/tex] [tex]{\boxed{\displaystyle \bf log(a^b)=blog(a)}}[/tex] [tex]{\boxed{\displaystyle \bf \dfrac{d}{dx}\{log(x)\}=\dfrac{1}{x}}}[/tex] [tex]{\boxed{\displaystyle \bf \dfrac{d}{dx}(e^x)=e^{x}}}[/tex]70 is 140% of what number?
Answer:
Step-by-step explanation:
simply 70×100÷140, which will give you the answer.
Answer:
50
Step-by-step explanation:
mental math look at my profile if you want to trust me or not
Which pairs of angles are alternate interior angles? Select all that apply.
3
20
N
517
618
co
Explanation:
Think of the vertical lines as train tracks (the metal rails).
Stuff between the rails are interior angles.
Angles 3 and 6 are one pair of alternate interior angles because they are on alternating sides of the transversal line. The other pair of alternate interior angles are angles 4 and 5.
Alternate interior angles are congruent when we have parallel lines like this.
Fill in the blank
y / 5
(y + 5) / 5
(y + 6) / 6
y / 2
y / 6
Step-by-step explanation:
[tex] \frac{x + 3}{3} = \frac{y + 2}{2} [/tex]
[tex]2(x + 3) = 3(y + 2)[/tex]
[tex]2x + 6 = 3y + 6[/tex]
[tex]2x = 3y[/tex]
[tex] \frac{x}{3} = \frac{y}{2} [/tex]
A house plan shows a scale of 1:40. If the rectangular lounge room of the house is to measure 4.5 metres by 6.3 metres, What are the dimensions of the room on the plan?
Answer:
.112 m by .157m OR 4.43 by 6.20 in
Step-by-step explanation:
The scale is 1:40, meaning that if the house plan shows 1 of something, the real life version is 40 times larger. Given this information:
4.5 m by 6.3 m is the ACTUAL SIZE.
Given this, we need to divide by 40 to get the room PLAN.
0.1125 by 0.1575 meters, OR 4.42913386 by 6.2007874 inches.
Simplifed,
.112 m by .157m OR 4.43 by 6.20 in
:)
Which of the following describes the transformation?
A. Reflection over the X axis
B. Reflection over the Y axis
C. Rotation 90° clockwise about the origin
D. Rotation 180° clockwise about the origin
Answer:
D
Step-by-step explanation:
I hope this helps!
Answer:
B
Step-by-step explanation:
Imagine a mirror at the Y-axis, the two triangles will be mirror-image of each other. So the CORRECT answer is B. Reflection over the Y axis
A shipping container is in the form of a right rectangular prism, with dimensions of
20 ft by 8 ft by 9 ft 9 in. If the container holds 359 cubic feet of shipped goods, what
percent is full? Round your answer to the nearest whole number if necessary.
Answer:
23%
Step-by-step explanation:
1) Find the area of the container. (20*8*9.9)
2) Divide 359 by 1584 (the area) to find the percent
3) Round up the percent and you get 23%.
Urgent need help pls answer with the correct explanation
area of circle:
π * radius²
π * 2²
4π in²
area of rectangle:
length * width
20 * 4
80 in²
total area:
4π in² + 80 in²
93 in²
area of triangular prism:
( base length * perpendicular height * length ) ÷ 2
( 12.6 * 1.6 * 10.75 ) ÷ 2
216.72 ÷ 2
108.36 mm³
Find the value of X
(Simplify your answer. Type an exact answer, using radicals as needed.)
Answer:
11[tex]\sqrt{2}[/tex]
Step-by-step explanation:
The given shape is a right triangle, to find the value of x we can use Euclidian Theorem:
x^2 = 14*(14+4)
x^2 = 280 find the root for both sides
x = 11[tex]\sqrt{2}[/tex]
3. Higher Order Thinking The
lengths of the pencils are
given at the right.
Write and solve a two-step
problem about the pencils.
6 cm
8 cm
10 cm
The lengths of the three pencils form a right-triangle, and the two-step problem is:
6^2 + 8^2 = 10^2100 = 100How to write the two-step problemThe lengths of the pencils are given as:
6cm, 8cm and 10cm
Using the Pythagoras theorem, we have:
6^2 + 8^2 = 10^2
Evaluate the exponents
100 = 100
Hence, the lengths of the three pencils form a right-triangle
Read more about two-step problem at:
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Please help me need ASAP
Answer:
B
Step-by-step explanation:
Because you will divide U in X the give you correct answer.
What is the value of the expression below when y=4y=4? 3y^2 +y+8 3y 2 +y+8
Answer:
1. 18
2. 13.5
3. 3rd choice
4. 2nd choice
5. 18.6
6.3m + 8
7. 5x2 + y
i hope this work for you
if a car covers 54km in an hour how much distance will it cover in 40 minutes
Answer:
It cover 36 km in 40 minutes
Step-by-step explanation:
please help me solve for x
[tex]\qquad \qquad\huge \underline{\boxed{\sf Answer}}[/tex]
The shown pair of angles are Co interior angle pair, therefore the sum of those angles is 180°
[tex]\qquad \sf \dashrightarrow \: 130 \degree + 7x + 1 \degree = 180 \degree[/tex]
[tex]\qquad \sf \dashrightarrow \: 131 \degree + 7x = 180 \degree[/tex]
[tex]\qquad \sf \dashrightarrow \: 7x= 180 \degree - 131 \degree[/tex]
[tex]\qquad \sf \dashrightarrow \: 7x= 49 \degree [/tex]
[tex]\qquad \sf \dashrightarrow \: x=49 \degree \div 7[/tex]
[tex]\qquad \sf \dashrightarrow \: x=7 \degree [/tex]
The required value of x is 7°
If a ray stands on a line, then the sum of two adjacent angles so formed is 180 .
7x + 1 + 130 = 180 7x + 131 = 180 7x = 180 - 131 7x = 49 x = 49/ 7 x = 7Hope it helps ~
The contents of each box of books weighs 18 pounds. There are 24 books in each box. How much does each book weigh?
How many parallel pairs are in a trapezoid
Answer:
the answer would be one pair
What is the sum of the squared distances from the mean?
Answer:
The sum of squares is the sum of the square of variation, where variation is defined as the spread between each individual value and the mean. To determine the sum of squares, the distance between each data point and the line of best fit is squared and then summed up. The line of best fit will minimize this value.
There were 10 tables at a company luncheon. The company ordered
25 pizzas. If the same amount of pizza was served at each table, how much
pizza did each table get? Give your answer as a fraction or mixed number
and also as a decimal.
Answer:
Fraction: [tex]2\frac{1}{2}[/tex]
Decimal: 2.5
Step-by-step explanation:
Divide the total number of pizzas by the number of tables.
[tex]\frac{25}{10} = \frac{5}{2} = 2\frac{1}{2} = 2.5[/tex]
Find the value of x.
Answer:
x=9.6
Step-by-step explanation:
First, we have to find a similarity statement including x with 3 other values. One that we can do is long leg/hypotenuse=long leg/hypotenuse. If we use the small triangle we can get x/12 (x being long leg, 12 being hypotenuse), and using the big triangle we can get 16/20 (16 being long, 12 being hypotenuse). So, if x/12=16/20, we can solve and get that x=9.6
10) Consider the function f(x) = x2 shown, which describes the graph of the function? A) increasing B) decreasing C) increasing then decreasing D) decreasing the increasing
The function f(x) = x^2 is a quadratic function
The graph is (D) decreasing the increasing
How to describe the function?The function is given as:
f(x) = x^2
From the graph of the function, we can see that the function values decreases then increases.
Hence, the statement that describes the graph is (D) decreasing the increasing
Read more about functions at:
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y + 8.63 = 11.001
Help, what does y equal to?!??!
50 points to whoever answers this question!!!!!
Answer:
2.371
Step-by-step explanation:
subtract 8.63 to 11.001