Answer: B and C.
Step-by-step explanation:
A function will have an inverse, only and only if every value of y can be linked to only one value x.
A) Here we have an absolute value:
We know that for example:
I5I = 5 and I-5I = 5.
Then an absolute value function can not have an inverse function.
B) one way of having a function that is invertible or not, is see if the function is increasing or decreasing.
If a function is, for example, increasing, then as the value of x increases, also does the value of y.
Then we will never see that a single value of y is related to two or more different values of x.
Then an exponential function, which is an increasing function, will have an inverse that is also a function.
C) A cubic function that has a root in (0,0)
The cubic function that has only one root at x = 0 is the function:
f(x) = a*x^3 + b*x
where a and b are real numbers of the same sign.
Now, we can see at the first derivate of f(x) to see if it is strictly increasing or strictly decreasing.
f'(x) = 3*a*x^2 + b
Ok, as x^2 is always positive, we can know that the sign of f'(x) will always be the same, so this function is strictly increasing or strictly decreasing (it depends on the signs of a and b).
Then this function has an inverse that is also a function.
Answer:
b and c
Step-by-step explanation:
got a 100 on edge2020. I hope this helped!
List at least three shapes, other than pentagons, in the table. If the shape is a polygon, indicate whether the shape is regular or irregular. Find the number of times that the shape will map back on to itself as the shape rotates 360° about its center. Also, note how many degrees the shape has rotated each time it maps back onto itself.
Answer:
See below
Step-by-step explanation:
See attached table
Regular polygon with n sides can map onto itself n times
It will rotate 360°/n about its center every time and will map onto itself
Examples are in the attached table
Answer:
PLATO
Step-by-step explanation:
A Blue Viper can travel 18 2/5 miles on 4/5
tank of gas. A Red Rocket can travel 17 2/5 miles on 3/4 tank of gas. Which car can travel
further on one tank of gas?
Answer:
A Blue Viper
Step-by-step explanation:
A Blue Viper can travel 18 2/5 miles on 4/5 tank of gas.
It can travel on full tank:
(18 2/5)*1/5 + 18 2/5 = 92/5*1/5 + 92/5 = 92/5*6/5 = 552/25 = 22.08 milesA Red Rocket can travel 17 2/5 miles on 3/4 tank of gas.
It can travel on full tank:
(17 2/5)*1/4 + 17 2/5 = 87/5*1/4 + 87/5 = 87/5*5/4 = 87/4 = 21.75 milesA Blue Viper can travel further as:
22.08 > 21.75Four times the sum of half a number and 6 is 48.
How do you put this as an equation?
Answer:
make x the subject of formula then = 6/48
What is the solution set for 5x – 1 < 7x - 47
Answer:
x > 23
Step-by-step explanation:
5x – 1 < 7x - 47
Add 1 to -47, you get -46.
5x < 7x - 46
Subtract 7x from 5x.
-2x < -46
Multiply both sides to reverse the inequality.
2x > 46
Divide both sides by 2.
x > 23
divide 9y power 2 by 3
divide (8x power 2 +4x ) by 2x
Answer:
1=27
2=34
Step-by-step explanation:
1)9y power 2÷3
or, y=9 power 2÷3
or, y=9×9÷3
or, y=81÷3
or, y=27
2) (8x power 2+4x)÷2
=(8x×8+4x)÷2
=(64x+4x)÷2
=68x÷2
or, x=68÷2
or, x=34
On Friday there were 8 snowboarders for every 3 skiers at Slovak ski resort. On Saturday the ratio of the number of snowboarders to the number of skiers was 4:7 there were 168 snowboarders at the ski resort on Friday there were the same number of people at the ski resort on Saturday as there were on Friday how many more skiers were there than snowboarders at the ski resort on Saturday
Answer:
There are 46 more skiers than snowboarder
Step-by-step explanation:
Given
Ratio of Snowboarders to Skiers
On Friday:
[tex]Ratio = 8 : 3[/tex]
On Saturday:
[tex]Ratio = 4 : 7[/tex]
Population = 168
Required
Determine the difference in the number of skiers and snowboarders on Saturday
On Saturday, we have
[tex]Ratio = 4 : 7[/tex]
Calculate Total
[tex]Total = 4 + 7[/tex]
[tex]Total = 11[/tex]
Calculate the number of skiers
[tex]Skiers = \frac{7}{11} * 168[/tex]
[tex]Skiers = \frac{1176}{11}[/tex]
[tex]Skiers = 107[/tex] (Approximated)
Calculate the number of snowboarders
[tex]Snowboarders = \frac{4}{11} * 168[/tex]
[tex]Snowboarders = \frac{672}{11}[/tex]
[tex]Snowboarders = 61[/tex] (Approximated)
Calculate the difference
[tex]Difference = 107 - 61[/tex]
[tex]Difference = 46[/tex]
Hence, there are 46 more skiers than snowboarder
Answer:63
Step-by-step explanation:
4x2 + 3x - 6
Label the terms in the expression as constant, linear, and quadratic.
A) constant: -6; linear: 3x; quadratic: 4x2
B) constant: 3x; linear: -6; quadratic: 4x2
C) constant: 4x2 ; linear: 3x; quadratic: -6
D) constant: -6; linear: 4x2 ; quadratic: 3x
Jason's monthly practice time on the piano is 35 hours. This month, he has practiced 8.5 hours in week 1, 12 hours in week 2, and 5.5 hours in week 3. How many more hours of practice time does Jason need to complete?
Given :
Monthly practice time , T=35 hours .
This month, he has practiced 8.5 hours in week 1, 12 hours in week 2, and 5.5 hours in week 3.
To Find :
Many more hours of practice time does Jason need to complete .
Solution :
Number of hours he practice in week 1 , [tex]t_1=8.5\ hours[/tex] .
Number of hours he practice in week 2 , [tex]t_2=12\ hours[/tex] .
Number of hours he practice in week 3 , [tex]t_3=5.5\ hours[/tex] .
Now , number of hours left is :
[tex]t=T-t_1-t_2-t_3\\\\t=35-(8.5+12+5.5)\ hours\\\\t=8\ hours[/tex]
Hence , this is the required solution .
2z-1= -9+ z i need the answer RIGHT NOW
Answer:
z = -8
Step-by-step explanation:
I'm guessing you want to find out what z is equal to, so here you go.
2z - 1 = -9 + z
2z = -8 + z
z = -8
Answer:
z = -8
Step-by-step explanation:
let's simplify the equation by getting the like terms together.
2z-1 = -9+z
first get the z's on the same side:
2z-z-1 = -9
z-1 = 9
then the constants:
z = -9+1
z = -8
Is 9 a natural number?
Answer: yes
Step-by-step explanation:
Answer:
I think so
Step-by-step explanation:
I think all numbers are technically natural
cosθ=0.5 (to nearest degree)
Step-by-step explanation:
Hey, there!!
Given,
cos theta = 0.5
To convert it into angle, you have to take cos to right side making it (cos inverse).
Therefore, theta = cos inverse (0.5)
= 60°.
Hope it helps......
z = 73i - 32
What is the real part of z ?
What is the imaginary part of z?
Answer:
real: -32imaginary: 73Step-by-step explanation:
The real part is everything that does not multiply i. The imaginary part is everything that does multiply i.
Conventionally, the real part is written first:
z = -32 +73i
Re(z) = -32
Im(z) = 73
Which of the following options have the same value as %5, percent of 35? Choose 2 answers: (Choice A) A 5*35 (Choice B) B 5/100*35 (Choice C) C 0.5* 0.35 (Choice D) D 0.05*35 (Choice E) E 5/10*35
Answer:
B and D
Step-by-step explanation:
5% of 35 can be represented as 5% [tex]\cdot35[/tex].
To find equations that make this work, we need to find different ways to represent 5%.
5% can be represented as fraction - over 100. The percentage over 100 will be equal to the percent.
So, [tex]\frac{5}{100}[/tex]. Multiplying by 35 gets us [tex]\frac{5}{100}\cdot35[/tex]
This means that Choice B is correct.
Another way to represent 5% is as a decimal.
We already know that the fraction form of 5% is [tex]\frac{5}{100}[/tex]. This means that in the decimal, the number 5 will be two place values to the right of the decimal place.
0.05
So the decimal expansion of 5% is 0.05. Multiplyin by 35 get us [tex]0.05\cdot35[/tex], so choice D works too.
Hope this helped!
Answer:
The answer is option D and BStep-by-step explanation:
To find the the value of the percentage of a number divide the percentage by 100 and multiply it by the number
So we have
5 percent of 35 is written as
[tex] \frac{5}{100} \times 35 \\ = \frac{1}{20} \times 35 \\ = \frac{7}{4} [/tex]
We have the answer as
1.75
From the options the one that has the same value as the above answer are
0.05 × 35 and 5/100 × 35
Hope this helps you
In a poll, 1004 women in a country were asked whether they favor or oppose the use of "federal tax dollars to fund medical research using stem cells obtained from human embryos." Among the respondents, % said that they were in favor. Identify the population and the sample.
Answer:
Population: A) All woman in the country
Step-by-step explanation:
Sample: A) The 1004 woman selected
у=x+5 3x+y=25 substitution
Answer:
(5,10)
Step-by-step explanation:
So we have the system of equations:
[tex]y=x+5\\3x+y=25[/tex]
To solve, we can use substitution.
Substitute the first equation into the second:
[tex]3x+y=25\\3x+(x+5)=25[/tex]
Combine like terms:
[tex]4x+5=25[/tex]
Subtract 5:
[tex]4x=20[/tex]
Divide by 4:
[tex]x=5[/tex]
Now, substitute this into the first equation:
[tex]y=x+5\\y=5+5[/tex]
Add:
[tex]y=10[/tex]
So, our answer is (5,10)
And we are done :)
-78 divided by (-1.3)
Answer:
60
Step-by-step explanation:
Haley had 2 blue marbles, 2 red marbles, and 4 green marbles. She gave 1 4 of her marbles to Amy and 2 4 of her marbles to Sue. What is the total number of marbles that Haley gave to Amy and Sue?
What is the value of x? Enter your answer in the box.
Answer:
I think the value of x might be 127°
please help me solve this problem!!!
Answer:
w = 9
Step-by-step explanation:
We can use ratios to solve
2 3
---- = ------
6 w
Using cross products
2w = 3*6
2w = 18
Divide by 2
w = 9
A basketball player scored 351 points last year. If the player plays 18 games this year, how many points will he need to average per game to beat last year’s total?
Answer:
The answer is C in my opinion and it is one of confusing question i have ever seen
Step-by-step explanation:
If he scored 351 points last years and he plays 18 games this year and if we want to know the points that he need to beat last year score in thsi year we need to divide 351÷18=19.5 so he will need to have no morethan 20 points because 19.5 is also enough to get the score
I hope u like it
if x=2y+1 what is th e value of 10y-5x
[tex]x=2y+1[/tex]
what is [tex]10y-5x[/tex]?
all you gotta do is substitute the value of [tex]x[/tex] in the equation:
[tex]x=2y+1\\10y-5(2y+1)[/tex]
now solve for [tex]y[/tex]:
[tex]10y-5(2y+1)\\10y-10y-5=-5[/tex]
so the value of [tex]10y-5x =[/tex] [tex]\boxed{-5}[/tex]
Your teacher will give you a set of cards. On each card, Figure A is the original and Figure B is a scaled copy.
Sort the cards based on their scale factors. Be prepared to explain your reasoning.
Find m∠XYZ in the figure if ∠XYZ and ∠PQR are supplementary angles. please explain your answer Question 1 options: A) 83° B) 7° C) 173° D) 97°
Answer:
It's D) 97°
Step-by-step explanation:
Just stick this in ya brain
Supplementary angles => sum => 180
Answer:
D
Step-by-step explanation:
So, we know that ∠XYZ and ∠PQR are supplementary angles. This means that their total sum is 180 degrees. In an equation, this is:
[tex]\angle PQR+\angle XYZ=180[/tex]
Since we already know the measure of PQR, substitute 83 for PQR:
[tex]83+\angle XYZ=180[/tex]
Subtract 83 from both sides:
[tex](83+\angle XYZ)-83=(180)-83\\\angle XYZ=97\textdegree[/tex]
The answer is D
The perimeter of a rectangle is 46 millimeters. The length of the rectangle can be represented by (3x+3), and its width can be represented by (x−4). What are the dimensions of this rectangle in millimeters?
Answer:
The dimension of this rectangle = 2mm by 21mm
Where 2 mm = Width of the rectangle
21 mm = Length of the rectangle.
Step-by-step explanation:
The formula for the perimeter of a rectangle = 2(L + W)
= 2L + 2W
The perimeter = 46 mm
L = 3x + 3
W = x - 4
P = 2L + 2W
46mm = 2(3x + 3) + 2(x - 4)
46 = 6x + 6 + 2x - 8
Collect like terms
46 +8 -6 = 6x + 2x
48 = 8x
x = 48/8
x = 6
Since the Length = 3x + 3
= 3(6) + 3
= 18 + 3
= 21mm
Since the Width = x - 4
= 6 - 4
= 2mm
Therefore, the dimension of this rectangle = 2mm by 21mm
Where 2 mm = Width of the rectangle
21 mm = Length of the rectangle.
One box of colored pencils has 9•10 to the power of 6 pencils . Another box has 10 to the power of 3 pencils. What is the total number of pencils in both boxes
Name a positive or negative number to represent a drop of 10°F in the temperature.
4+3(15-2^(3)) Simplify the equation....
Answer:
25Step-by-step explanation:
[tex]4+3\left(15-2^3\right)\\\\3\left(15-2^3\right)=21\\\\=4+21\\\\=25[/tex]
Answer:
25
Step-by-step explanation:
4+3(15-2^(3)
4+3(15-(2*2*2)
4+3(15-8)
4+3(7)
4+21=25
In the diagram, 1 inch represents 20 feet
Which are the actual dimensions of the
family room?
Answer: 10 Feet by 15 Feet
Step-by-step explanation:
Simplify 4(5x - 6) - 4(2x + 1) 12x - 5 12x - 20 12x - 28
Answer:
12x -28
Step-by-step explanation:
4(5x - 6) - 4(2x + 1)
Distribute
20x -24 -8x -4
Combine like terms
12x -28
- 2(w+6) +9< - 15
I'm make you brainliest