Step-by-step explanation:
[tex] \large\underline{\sf{Solution-}}[/tex]
Given function is
[tex]\rm \longmapsto\:f = \bigg(x, \: \dfrac{ {x}^{2} }{ {x}^{2} + 1} \bigg) : x \: \in \: R[/tex]
To find the range of the function f, Let assume that
[tex]\rm \longmapsto\:y = \dfrac{ {x}^{2} }{ {x}^{2} + 1} [/tex]
[tex]\rm \longmapsto\: {yx}^{2} + y = {x}^{2} [/tex]
[tex]\rm \longmapsto\: {yx}^{2} - {x}^{2} = - y[/tex]
[tex]\rm \longmapsto\: - {x}^{2} (1 - y) = - y[/tex]
[tex]\rm \longmapsto\: {x}^{2} (1 - y) = y[/tex]
[tex]\rm \longmapsto\: {x}^{2} = \dfrac{y}{1 - y} [/tex]
[tex]\rm\implies \:x = \sqrt{\dfrac{y}{1 - y} } [/tex]
For x to be defined,
[tex]\rm \longmapsto\:y \geqslant 0 \: \: and \: \: 1 - y > 0[/tex]
[tex]\rm \longmapsto\:y \geqslant 0 \: \: and \: \: - y > - 1[/tex]
[tex]\rm \longmapsto\:y \geqslant 0 \: \: and \: \: y < 1[/tex]
[tex]\bf\implies \:y \: \in \: [0, \: 1)[/tex]
Hence,
[tex]\bf\implies \:Range \: of \: f \: \in \: [0, \: 1)[/tex]
HELP ME PLEASE I AM SO DESPERATE THIS IS DUE IN 12 minutes!!!!
Answer:
3/4
Step-by-step explanation:
What’s 20/10 simplified??
Answer:
answer is 2
Step-by-step explanation:
20/10
divide both answers by ten
2/1
then one is meaningless so u remove it
The endpoints of are A(2, 2) and B(3, 8). is dilated by a scale factor of 3.5 with the origin as the center of dilation to give image . What are the slope (m) and length of ?
Answer:
The slopes of both are m=6
Length of AB=6.082
Length of the image: 3.5 * 6.082 = 21.287
Answer:
Step-by-step explanation:
angle M and angle N are complementary. The measure of angle M is 38 degrees less than the measure of angle N Find the measure of each angle.
Answer:
M = 26 degrees, N = 64 degrees
Step-by-step explanation:
When 2 angles are complementary, it means they add up to 90 degrees. We can set up a system of equations to represent the situation.
M is measure of angle M
N is measure of angle N
M + N = 90 degrees
M = N - 38 (measure of angle M is 38 degrees less than measure of angle N)
We can then use the second equation to substitute in M in the first equation with N - 38
N - 38 + N = 90
2N - 38 = 90
2N = 128
N = 64 degrees
We plug this value back into the first equation to find M
M + 64 = 90
M = 26 degrees
The measure of ∠M and ∠N are 26° and 64° respectively.
What is a supplementary angle ?Supplementary angles sum to 180°.If two angles are supplementary their sum is 180° and sum of two complementary angles is 90°.
According to the given question angle M and angle N are complementary.
∴ Sum of these two angles ∠M + ∠N = 90°.
Assuming measure of ∠N to be x°,So the measure of ∠M is (x-38)°.
Therefore, x + (x-38) = 90°.
2x = 90° + 38°
2x = 128°.
x = 64°.
∴ The measure of ∠M is (64 - 38 )° = 26°.
learn more about angles here :
https://brainly.com/question/7116550
#SPJ2
what is (x^2+2)(5x+1) multipyed
Answer:
[tex]5x^{3} + x^{2} + 1 0 + 2[/tex] Is the correct answer
Step-by-step explanation:
in pic
(Credit: Symbolab)
(Hope this helps can I pls have brainlist (crown)☺️)
(x²+2)(5x+1) =5x³+x²+10x+2
hope it helps
Proportions: If 7.5 cups sugar to make 14 dozen cookies, find K please
Answer:
8987678
Step-by-step explanation:
The length of a rectangle is three more than twice it’s width. The perimeter of the rectangle is 246 cm. Write an equation to find the perimeter and then find the length of the rectangle.
Answer:
83 cm
Step-by-step explanation:
Let the length of the rectangle be L cm and the width be W cm.
L= 2W +3 -----(1)
Perimeter of rectangle= 2(length) +2(width)
2L +2W= 246 -----(2)
Substitute (1) into (2):
2(2W +3) +2W= 246
Expand:
4W +6 +2W= 246
Simplify:
6W +6= 246
Divide both sides by 6:
W +1= 41
W= 41 -1
W= 40
∴ width of the rectangle is 40cm.
Substitute value of W into (1):
L= 2(40).+3
L= 80 +3
L= 83
Thus, the length of the rectangle is 83 cm.
Could I get help with 8-11 please :(
Answer:
8. m∠1 = 64, m∠2 = 26, m∠3 = 36
9. m∠1 = 73, m∠2 = 58, m∠3 = 107, m∠4 = 49, m∠5 = 131
10. m∠1 = 34, m∠2 = 52, m∠3 = 38, m∠4 = 94, m∠5 = 56, m∠6 = 38
11. m∠1 = 62, m∠2 = 71, m∠3 = 109, m∠4 = 35, m∠5 = 109, m∠6 = 29, m∠7 = 47, m∠8 = 62
Step-by-step explanation:
8. m∠1 = 180 - (75 + 41) = 180 - 116 = 64
m∠2 = 90 - 64 = 26
m∠3 = 90 - 54 = 36
9. m∠3 = 180 - 73 = 107
m∠1 = 73
m∠2 = 180 - (73 + 49) = 180 - 122 = 58
m∠4 = 49
m∠5 = 180 - m∠4 = 180 - 49 = 131
10. m∠6 = 90 - 52 = 38
m∠3 = m∠6 = 38, m∠2 = 52
m∠5 = 180 - (86 + 38) = 180 - 124 = 56
m∠1 = 90 - 56 = 34
m∠4 = 180 - (34 + 52) = 180 - 86 = 94
11. m∠2 = 71
m∠3 = m∠5 = 180 - 71 = 109
m∠1 = 180 - (47 + 71) = 180 - 118 = 62
m∠4 = m∠2 - 36 = 71 - 36 = 35
m∠6 = m∠2 - 42 = 71 - 42 = 29
m∠7 = 47
m∠8 = m∠1 = 62
In the equation x + 10 = 22, what do you need to do to solve the problem ?
Answer:
In the given equation we need to find out the value of x to make this equation true.
First write the equationx+10 = 22Now place 10 to the other side[By placing 10 to the other side the symbol will change into -]x = 22-10Now subtract 10 from 22x = 12∴ 12 + 10 = 22Someobe pleaseeee help I need it
Answer:
its 35
Step-by-step explanation:
8.90 x 3.12 will give brainlist
27.768
Multiply 890 and 312
This equals 277680
We know that there were 4 numbers behind a decimal point
Therefore the last four numbers of 277680 need to be behind a decimal point as well
So you're answer is 27.7680 or 27.768
Simplify the expression (2x^2+6x-7)-(9x^2-11)
2x^2 + 6x - 7 - 9x^2 + 11
(2x^2 - 9x^2) + (6x) + (-7 + 11)
-7x^2 + 6x + 4
Hope this helps!! :)
Answer:
=- 7x^2+6x+4
Step-by-step explanation:
10. Write About It Meredith describes to Liza two purchases she made.
"On Monday, I bought 39 books and 21 CDs for $396. On Tuesday, at the
same prices, I bought 52 books and 28 CDs for $518."
Liza thought about the numbers and said, "That's impossible!" Is Liza
correct? Assume that all books cost the same amount and all CDs cost
the same amount. Explain.
Answer:
Yes, because the 39 books and 21 cds price is proportional to the 52 books and 28 cds' price
Step-by-step explanation:
:>
A tree grew from a height of 6 feet to 15 feet. By what percent did its height increase?
Answer:
It increased by 150%
Step-by-step explanation:
HELP ME PLEASE!
Haddad purchases a new surround sound system with a store credit card. If Haddad pays the
minimum monthly payment, he will have his balance paid off in 41 months. If he pays an
additional $15.00 each month, he will have his balance paid off in 27 months. What percent
of time will Haddad save by paying the extra $15.00 per month?
O 15%
O 34%
O 29%
O 66%
Please tell me the answer up to e no.
(I think you need a-e, if not let me know and I will edit accordingly)
a: Divide both sides by 4
cm -> 12:8
3:2
b: Convert and divide both sides by 3
cm -> 150:9
50:3
c: Convert and divide both sides by 20
cm -> 100:80
5:4
d: Convert and divide both sides by 4
months -> 4:12
1:3
e: Convert and divide both sides by 250
g -> 2000:250
8:1
Hope this helps, have a nice day :)
One fourth of a Number decreased by three is at least two.
Answer:
100
Step-by-step explanation:
1/4 of 100 is 25. 25-3=22, which is at least 2.
A blank 2-column table with 3 rows. Column 1 is labeled Column A and Column 2 is labeled Column B. A blank graph has label B on the x-axis and label A on the y-axis. Weather data is collected to analyze wind speed according to temperature. Identify the variables as either input or output to label the table and graph. Column A = Column B = Label A = Label B =
A= temperature column B= wind speed. Label A= wind speed label B= Temperature
Question is in image.
a. x = 4, RS = TS = 23, RT = 7
b. x = 2, RS = TS = 20, RT = 5
c. x = 3, RS = TS = 29, RT = 8
d. x = 5, RS = TS = 18 RT = 4
Answer:
C.
Step-by-step explanation:
HOPE ITS HELP
whith jrverano2010
Can someone answer this for me
How do I find all the angles?
Step-by-step explanation:
so let's say
•(x + 60) = <a
•2x = <b
so
•<a = <z & <b = <y
&
•<a + <b = 180
(x + 60) + 2x = 180
3x + 60 = 180
3x = 180 - 60
3x = 120
x = 40
• <a = (x + 60)
= 40 + 60
= 100
• <b = 2x
= 2 × 100
= 200
• <y = <b
= 200
• <z = <a
= 100
Step-by-step explanation:
so in a 4 sided figure all the angles measure to 360º in total
as well as in this case due to the two lines being parallel z=x+60 and y=2x
The easiest way for me is to write that all the angles = 360.
x+60+x+60+2x=2x=360
6x+120=300 simplify
6x=180 divide
x=30
so the angles are all 90º if you find each of them
determine if the givem binomial x-c is a factor of the given polynomial p(x)
[tex]p(x) = {x}^{4} - {x}^{3} + {x}^{2} + x - 1: x - 2[/tex]
What are the values of v and w?
guys pls help me!!!!!!!
Answer:
5.
Step-by-step explanation:
9y - 6 + 51 = 90
9y + 45 = 90
9y = 45
y = 5.
you have one apple you get another how many do you have cut
Answer:2
1+1=2
NO WAY
Need help with this ‘
Can someone pls help me
__________
[tex] \: [/tex]
a² = c² - b²
a² = 9² - (√65)²
a² = 81 - 65
a² = 16
a = √16
a = 4
Use Pythagorean theorem
[tex]\\ \sf\longmapsto P^2=9^2-(√65)^2[/tex]
[tex]\\ \sf\longmapsto P^2=81-65[/tex]
[tex]\\ \sf\longmapsto P^2=16[/tex]
[tex]\\ \sf\longmapsto P=4[/tex]
The graph of y=mx is a straight line :
(a) Parallel to the x-axis.
b) Passing through the origin
(c) parallel to the y-axis.
(d) coincides with the x-axis.
Given :-
The graph of y=mx is a straight line :(a) Parallel to the x-axis.b) Passing through the origin(c) parallel to the y-axis.(d) coincides with the x-axis.To find :-
The correct option .Solution :-
General Equation of slope intercept form ,
y = mx + c .Here c = 0 , so its y intercept will be (0,0) . Hence it will pass through origin .
will pass through origin.HELP ASAP 100 POINTS!
Which of the following represents a function?
(-1, 2), (-2, 1), (-1, -2), (-2, -1)
(3, 4), (-3, 2), (3, 8), (5, 5)
(2, 3), (4, 3), (-2, -3), (-4, -3)
(5, 1), (5, 2), (5, 3), (5, 4)
Step-by-step explanation:
If in any set, you can find 2 or more points that lie on the same vertical,
then it is NOT a function, that is, the same value of x yields 2 or more different
values of y, you don't have a function.
e.g. D is definitely not a function. You have (-2,4) and (-2,-4) , the same x of -2 giving you a y value of 4 and -4.
Eight people are competing in an art contest for 1st, 2nd, and 3rd place awards. How many
different combinations of awards are there?
Answer:
24 Combinations
Step-by-step explanation:
There are 8 people and there is a possibility that each can be either 1st, 2nd, 3rd. You would multiply 8 x 3 to get 24 or add 3 eight times