Answers
Answer:
Step-by-step explanation:
A function is one-to-one if it passes the horizontal line test. This is the case if a horizontal line intersects the graph in only one place.
The graph of f(x) = x^2 - 5 is that of a parabola that opens upward. There are several possibilities here:
1. The horizontal line intersects the parabolic graph twice on the interval (-infinity,+infinity). Therefore this function is not one-to-one on this interval
(-infinity,+infinity).
2. If we define the domain as [0,+infinity), a horizontal line will intersect this parabolic graph only once. Therefore this function is one-to-one on [0,+infinity).
Related Questions
Write this equation in slope-intercept form by isolating the y-variable.
12x = 4y
Answers
The quotient of C÷E is the quotient of B÷D.
multiple chose
equal to
less than
greater than
which on is it HELP PLS
Answers
C / E = B / D
(4x+2)=102+44 solve for x
Answers
x = 36
4x+2 = 146
(4x+2) + (-2) = 146 + (-2)
x=36
BRAINLIST!!!!!
Lisa glued two pieces of wood together to make the letter L in her art class. She plans to paint all sides of it purple, including the base.
The longer piece of wood has dimensions of 2 inches by 2 inches by 6 inches. The shorter piece of wood has dimensions of 5 inches by 2 inches by 2 inches. How many square inches of purple paint will Lisa use to paint her letter L?
A.
74 square inches
B.
96 square inches
C.
104 square inches
D.
100 square inches
Answers
Answer:
immm go with A
Step-by-step explanation:
if im wrong plz tell me
Evaluate the following integral:
Answers
[tex]\large\underline{\sf{Solution-}}[/tex]
Given integral is
[tex]\rm :\longmapsto\:\displaystyle\int\rm \frac{ {x}^{e - 1} + {e}^{x - 1} }{ {x}^{e} + {e}^{x} } \: dx[/tex]
To evaluate this integral, we use Method of Substitution.
So, Substitute
[tex]\rm :\longmapsto\: {x}^{e} + {e}^{x} = y[/tex]
[tex]\rm :\longmapsto\: \dfrac{d}{dx}({x}^{e} + {e}^{x}) = \dfrac{d}{dx}y[/tex]
[tex]\rm :\longmapsto\: {ex}^{e - 1} + {e}^{x} = \dfrac{dy}{dx}[/tex]
[tex]\rm :\longmapsto\:e( {x}^{e - 1} + {e}^{x - 1}) = \dfrac{dy}{dx}[/tex]
[tex]\rm :\longmapsto\:({x}^{e - 1} + {e}^{x - 1})dx = \dfrac{dy}{e}[/tex]
So, on substituting all these values in above integral, we get
[tex]\rm \: = \: \displaystyle\int\rm \frac{dy}{e \: y} [/tex]
[tex]\rm \: = \:\dfrac{1}{e} \displaystyle\int\rm \frac{dy}{ y} [/tex]
[tex]\rm \: = \:\dfrac{1}{e}log |y| + c[/tex]
[tex]\rm \: = \:\dfrac{1}{e}log \bigg| {x}^{e} + {e}^{x} \bigg| + c[/tex]
Hence,
[tex]\rm :\longmapsto\:\boxed{\tt{ \displaystyle\int\rm \frac{ {x}^{e - 1} + {e}^{x - 1} }{ {x}^{e} + {e}^{x} } \: dx = \frac{1}{e}log \bigg| {x}^{e} + {e}^{x}\bigg| + c}}[/tex]
▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
LEARN MORE :-
[tex]\begin{gathered}\begin{gathered}\boxed{\begin{array}{c|c} \bf f(x) & \bf \displaystyle \int \rm \:f(x) \: dx\\ \\ \frac{\qquad \qquad}{} & \frac{\qquad \qquad}{} \\ \sf k & \sf kx + c \\ \\ \sf sinx & \sf - \: cosx+ c \\ \\ \sf cosx & \sf \: sinx + c\\ \\ \sf {sec}^{2} x & \sf tanx + c\\ \\ \sf {cosec}^{2}x & \sf - cotx+ c \\ \\ \sf secx \: tanx & \sf secx + c\\ \\ \sf cosecx \: cotx& \sf - \: cosecx + c\\ \\ \sf tanx & \sf logsecx + c\\ \\ \sf \dfrac{1}{x} & \sf logx+ c\\ \\ \sf {e}^{x} & \sf {e}^{x} + c\end{array}} \\ \end{gathered}\end{gathered}[/tex]
-4 3/8 - (-2 1/4)
Find the difference. Write fractions is simplest form.
Answers
Answer:
Exact form = - 17/8
Decimal form = -2.125
Mixed number form = -2 1/8
Step-by-step explanation:
Convert the mixed numbers to improper fractions, then find the LCD and combine.
On a coordinate plane, 5 squares are shown. Square L M N P has points (negative 3, 1), (negative 1, 1), (negative 1, negative 1), (negative 3, negative 1). Square 1 has points (negative 6, 4), (negative 6, 6), (negative 4, 6), (negative 4, 6). Square 2 has points (negative 6, negative 4), (negative 6, negative 6), (negative 4, negative 4), (negative 4, negative 6). Square 3 has points (2, 2), (2, 4), (4, 4), (4, 2). Square 4 has points (2, negative 2), (4, negative 2), (4, negative 4), (2, negative 4).
Assume each figure shown has the same orientation. Which figure is the image of square LMNP after a translation of
(x, y) → (x + 5, y – 3)?
100pts
Answers
Answer:
hi baby its me nick this is my new account
Step-by-step explanation:
0.941176471 to the nearest hundredth ?
Answers
A recipe calls for 1/4 cup of apples and 3/8 cup of peaches. how many total fruit will Be used it the recipe. (I'm to lazy to try and do this Because I have to write an essay after this.)
Answers
Answer:
5/8
Step-by-step explanation:
1/4 (2/2)=2/8
3/8 (already simplified)
2/8+3/8=5/8
!30 POINTS! How can I use this trapezoid to prove the Pythagorean Theorem?
Answers
Answer:
a = a
b = b
c = c
Step-by-step explanation:
Formula: [tex]a^2+b^2=c^2[/tex]
C is always the largest number
a times a + b times b = c times c
Write an expression representing the unknown quantity.
Sidney made $38 more than six times Casey's weekly salary. If x represents Casey's weekly salary, write an expression for Sidney's weekly salary.
PLEASE HELP AND GIVE AN EXPLANATION
Answers
Answer:
Sidney made $20 less than three times Caseys weekly salary. If x represents Caseys weekly salary, write an expression for Sidney's weekly salary.
Step-by-step explanation:
x = Caseys weekly salar
3x = three times Caseys weekly salary
'3x - 20' is the expression for Sidney's weekly salary
I hope this helps :)
What is the slope of a line parallel to the line whose equation is 2x-y=7. Fully simplify your answer.
Answers
Answer:
Step-by-step explanation:
Q
(
2
,
1
)
and
R
(
8
,
13
)
is partitioned from
Q
to
R
into a
1
:
2
ratio at point
Z
. What are the coordinates of
Z
?
Lea has 2 cans of oil. if each contains 3.4 liters how many liters of oil does she have in all
Answers
Answer:
the answer is 6.8 litres
Step-by-step explanation:
3.4 × 2 = 6.8
Stanley ran 48 of a mile. Gary ran 36 of a mile. Who ran farther
Answers
Solve for x thanks!!!!!
Answers
Answer:
x=5
Step-by-step explanation:
Since the angle with the expession and the one that has a measure of 58 and corresponding, they have equal measure. This helps us write an equation-
12x-2=58
now, solve
-2+2=0, 58+2=60
12x=60
12x/12=60/12
x=5
hope this helps:)
please crown me brainliest!!!
Answer:
12x-2°=58°
12x=58°+2°
=60°
x=60÷12
=5
Manny is always looking for coins lost on the playground. He has a collection of 72 coins, all nickels and dimes, totaling $6.20. What is the total amount of money he has found in dimes?
Answers
Answer:
The answer is ”62” Beacause you just divide 620 by 10
Step-by-step explanation:
If you like this answer please give brainleist and rating! Hope this helps!^_^
4< -2x + 3 <9
Compound inequalities
Answers
Answer:
-3 < x < -1/2
Step-by-step explanation:
4<-2x+3<9
1<-2x<6
-1/2 > x > -3
so
-3 < x < -1/2
Name one other disaster involving NASA astronauts?
Answers
Answer:
apollo 1
Step-by-step explanation:
What is the mean of
8,4,5,4,9,0
Answers
Answer:
5
Step-by-step explanation:
(8+4+5+4+9+0) /6 = 5
8+4+5+4+9+0
=30
Then we divide by the amount of numbers in the sum
30 divided by 6
=5
So, the mean is 5
Gain is calculated on the selling price. t or false
Answers
Answer:
true its true ..
Step-by-step explanation:
we can know our profit or loss by our selling price
Step-by-step instructions: Profit or loss is always calculated on the basis of the cost price. The discount is calculated on the marked price or the list price.
Express 20g as a percentage of 1kg
Answers
Answer:
2% of 1kg
Step-by-step explanation:
20g/1kg x 100
= 20g/1000g x 100
1/50 x 100
=2
Therefore, 20g is 2% of 1kg
Hope it helps you
Answer:
2%
Step-by-step explanation:
1kg=1000g
=20/1000×100%
=2%
K is the midpoint of JL Jk=9x-5 and KL=7x+3 Find JL
Answers
The equations given are equal so put them together and solve for x. Plug that back in to get 31. Then multiply that by two to account for the two segments. That leaves you with 62 units.
(3x + 3) (2x - 1)=0
solve using zero product property
Answers
Answer: there are two variations to the answer depends how you solve it
Step-by-step explanation: [tex]x= \frac{1}{2}[/tex] or [tex]x= -1[/tex]If ΔFGH ≅ ΔIJK, which segment is congruent to segment FG?
segment HF
segment JK
segment IJ
segment GH
Answers
Answer:
HF for shoo
Step-by-step explanation:
4. The first two numbers in a sequence are 3, 9.
a. If this is an arithmetic sequence, what are the next 2 terms?
b. Write the a definition for the nth term of the sequence:
Answers
Answer:
234567
Step-by-step explanation:
Answer:
AP equation:
[tex]t_n=t_1+(n-1)d[/tex]Based on the first two terms, we have:
[tex]t_1=3,\\t_2=9\\d=9-3=6[/tex]The equation is:
[tex]t_n=3+(n-1)*6=3+6n-6=6n-3[/tex]Next two terms are:
[tex]t_3=6*3-3=15\\t_4=6*4-3=21[/tex]Good day dear friends,
The expression 2L + 2W is used to find the perimeter of a rectangle with length L and width of W.
What is the perimeter of a rectangle with length 15cm and width 4cm?
Show your work.
A. 38
B. 60
C. 239
D. 23
Answers
Answer:
A, 38cm
Step-by-step explanation:
since u have to take 15cm (the length) then multiply by 2 to take both the sides of the rectangle
then you have to take the width 2 times to take the perimeter and add it up. so 15x2 and 4x2 added is 38. there!
Help please if you can!!!!!!!!!!!!!!!
Answers
Answer:
559.41 miles/hour
Step-by-step explanation:
Just use a calculator
Kamrynn is looking at her five quiz scores of 96 90 94 93 and 90. Determine the mean rounded to the nearest tenth median mode and range of the results
Answers
Answer:
Mean = 90, Median = 93, Mode = 90, Range = 6
Step-by-step explanation:
Mean:
96 + 90 + 94 + 93 + 90 = 463
463 ÷ 5 = 92.5
92.5 to nearest tenth = 90
Mean = 90
Median:
90, 90, 93, 94 ,96
Median = 93
Mode
96, 90, 94, 93, 90
Mode = 90
Range:
96 - 90 = 6
Range = 6
What is the input when f(x)=18?
Answers
Answer: The input is 5.
Step-by-step explanation: Since both are functions of f(x), you can set 9x-27 equal to 18 and then solve the equation. 9x-27=18, add 27 to both sides to get 9x=45, divide both sides by 9, x=5.
:)
You replace the f(x) with 18 which makes it into (18)=9x-27 then you do basic algebra from there.
Let x = any negative rational number, which statements are true? SElect all that apply.
X is a positive number
x is the opposite of X
X is equal to X
X is greater than X
X is Greater than the distance from 0 to X on the number line
Answers
Answer:
X is the opposite of X
Step-by-step explanation:
#CarryOnLearning