Let f be defined as shown. Which statement is
true?
Click on the correct answer.
The inverse of f exists.
The inverse of f does not exist.
Answers
Answer:
the inverse of f exists
Step-by-step explanation:
every element of set a is associated with unique elemenet of set B. And every element of set B has pre image on set A . so inverse exists
Related Questions
on monday it took 5 builders to 3 1/2 hours to build a wall
on tuesday an identical wall was built but only 2 builders were available
each builder is paid £9.30 for each hour or part of and hour they work
work out how much each builder will be paid for the work completed on tuesday
Answers
Answer: £ 81.38
Step-by-step explanation:
Given: On Monday,
5 builders took [tex]3\dfrac{1}{2}[/tex] hours ( i.e. [tex]\dfrac{7}{2}[/tex] hours ) to build a wall.
On Tuesday, only 2 builders were available.
As workers are inversely proportional to the time if the job remains constant.
Inverse variation equation : [tex]x_1y_1=x_2y_2[/tex]
Let x be the time taken by 2 builders, then
[tex]2\times x =5\times \dfrac{7}{2}[/tex]
[tex]\Rightarrow\ x=\dfrac{35}{2}\times\dfrac{1}{2}=\dfrac{35}{4}=8.75[/tex]
So, 2 builders will take 8.75 hours.
Each paid £9.30 for each hour.
Then, each builder will be paid for the work completed on Tuesday = £9.30 x 8.75
≈ £ 81.38
Hence, each builder will be paid £ 81.38 for the work completed on Tuesday .
6d-\dfrac{11}2=2d-\dfrac{13}26d− 2 11 =2d− 2 13
Answers
Answer:
So your answer is d = -1/4 = -0.250
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
6*d-11/2-(2*d-13/2)=0
13
Simplify ——
2
11 13
(6d - ——) - (2d - ——) = 0
2 2
2.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using 2 as the denominator :
2d 2d • 2
2d = —— = ——————
1 2
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
2d • 2 - (13) 4d - 13
————————————— = ———————
2 2
11 (4d - 13)
(6d - ——) - ————————— = 0
2 2
11
Simplify ——
2
4.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using 2 as the denominator :
6d 6d • 2
6d = —— = ——————
1 2
4.2 Adding up the two equivalent fractions
6d • 2 - (11) 12d - 11
————————————— = ————————
2 2
5.1 Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
(12d-11) - ((4d-13)) 8d + 2
———————————————————— = ——————
2 2
6.1 Pull out like factors :
8d + 2 = 2 • (4d + 1)
4d + 1 = 0
4d + 1 = 0
7.1 Solve : 4d+1 = 0
Subtract 1 from both sides of the equation :
4d = -1
Divide both sides of the equation by 4:
d = -1/4 = -0.250
Answer:
d = -1/4 = -0.250
Step-by-step explanation:
Rewrite the function by completing the square
Answers
Answer:
[tex](x+10)^2-186[/tex]
Step-by-step explanation:
Match the justification to each statement in the solution of x + 12.7 = -25.2.
Answers
Answer:
1) x+12.7=-25.2 is given
2)x+12.7-12.7=-25.2-12.7 is the subtraction property of equality(subtracting on both sides)
3)x+0=-37.9(add. inverse/simplification since we're simplifying the equation)
x=-37.9(identity property of addition since x+0 is just x)
Hope this helps!
Heeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeelp
Answers
Answer:
b.)[tex] \frac{7}{8} - \frac{1}{4} \times \frac{1}{2} [/tex]
Solve the ones multiplying first
That's
[tex] - \frac{ 1}{4} \times \frac{1}{2} = \frac{1}{8} [/tex]
Subtract
[tex] \frac{7}{8} - \frac{1}{8} = \frac{6}{8} = \frac{3}{4} [/tex]
c.)[tex] \frac{5}{6} + \frac{2}{3} \div \frac{1}{4} [/tex]
Division first
[tex] \frac{2}{3} \div \frac{1}{4} = \frac{2}{3} \times 4 = \frac{8}{3} [/tex]
Add
Final answer is
[tex] \frac{5}{6} + \frac{8}{3} = \frac{5 + 10}{6} = \frac{15}{6} [/tex]
d.) [tex] \frac{5}{16} - \frac{11}{10} \div \frac{22}{5} [/tex]Division first
That's
[tex] \frac{11}{10} \div \frac{22}{5} = \frac{11}{10} \times \frac{5}{22} = \frac{1}{4} [/tex]
Subtract
We have the final answer as
[tex] \frac{5}{16} - \frac{1}{4} = \frac{5 - 4}{16} = \frac{1}{16} [/tex]
g).[tex]( \frac{3}{4} + \frac{2}{3} ) \times \frac{1}{2} [/tex]Solve the terms in the bracket first
That's
[tex] \frac{3}{4} + \frac{2}{3} = \frac{9 + 8}{12} = \frac{17}{12} [/tex]
Multiply
We have the final answer as
[tex] \frac{17}{12} \times \frac{1}{2} = \frac{17}{24} [/tex]
j ). [tex]( \frac{10}{7} - \frac{1}{2} ) \times ( \frac{2}{3} + \frac{5}{6} )[/tex]Solve all the terms in the bracket first
That's
[tex] \frac{10}{7} - \frac{1}{2} = \frac{20 - 7}{14} = \frac{13}{14} [/tex]
And
[tex] \frac{2}{3} + \frac{5}{6} = \frac{4 + 5}{6} = \frac{9}{6} = \frac{3}{2} [/tex]
Multiply
We have the final answer as
[tex] \frac{13}{14} \times \frac{3}{2} = \frac{39}{28} [/tex]
Hope this helps you.
PLS ANSWER BEFORE 7/12/18 THANK YOU!!!
Mrs. Herby bought some carrots. She put 2/5 of them on a platter and the rest in a plastic bag. If there were 8 carrots on the platter, how many carrots were there in the plastic bag?
Answers
Answer:
12
Step-by-step explanation:
can anyone help me on both please dont put stupid awsers to get the points
Answers
Answer: Ok for the second one because I don't really get the wording in the first one (thats cuz i SUCK at vocabulary) the answer is 756,100 and a number greater is any number from 756,073-756,149
Step-by-step explanation:
ok so 756072 rounds to 756100 because 72 is closer to 100 than it is to 0
from 50 on, you would round up so to round up to 756100 the smallest possible number is 756050 since the 50 will round up
the highest number is 756149 because from 50 onwards it will round to 756200 instead.
so you can choose any number from 756050-756149
Randall built a scale model of a barn he wants to construct. What is the total volume of the model Round your answer to the nearest tenth.
3,254.0 cm^3
326.4 cm^3
3,100.8 cm^3
4,243.2 cm^3
1,305.6 cm^3
Answers
Answer:
2764.8cm³
Step-by-step explanation:
Looking at the diagram, the barn is a combination of 2 geometric shapes, a cuboid and Triangular prism
Step 1
Find the volume of the cuboid
Volume of the cuboid = Length × Width × Height
Length = 10cm
Width = 20.4cm
Height = 11.2cm
Volume = 10cm × 20.4cm × 11.2cm
Volume = 2284.8cm³
Step 2
Volume of Triangular prism = 1/2 × base × height × length
= 1/2 × 8 × 12 × 10
= 480cm³
Total volume = 2284.8cm³ + 480cm³
= 2764.8cm³
For the function illustrated above, what is the domain? A{1, 2, 3, 4, 9, 12} B{1, 4, 9, 12} C{2, 3, 4} D{4, 9}
Answers
Answer:
The correct option is C
C) (2,3,4)
Step-by-step explanation:
Domain can be defined as the set of all possible values of input, for which we can calculate the values of output. The values of input are independent, while the values of output are dependent on the values of input.
In the diagram, we can see that the arrow represents that for a certain number in A, we get a number from B. Which means that A represents the input while B represents the output.
As A is the input, all values of A form the domain of the function, which means that domain in {2,3,4}
One zero of the polynomial function f(x) = x^3 + x^2 + 20x is x = 0. What are the zeros of the polynomial function?
0, −5, −4
0, −5, 4
0, 5, −4
0, 5, 4
Answers
Answer: 0, −5, 4
Step-by-step explanation:
The given function is
[tex]f(x)=x^3+x^2-20x[/tex]
One of the zero of the given polynomial function is x=0.
To find other zeroes put f(x)=0
[tex]x^3 + x^2 - 20x=0\\\\\Rightarrow\ x(x^2+x-20)=0\ \ \ [\text{Taking x as common}][/tex]
That is
[tex]x^2+x-20=0[/tex] or [tex]x=0[/tex]
if [tex]x^2+x-20=0[/tex]
then [tex]x^2+5x-4x-20=0\ \ \ [\text{By using middle term splitting method}][/tex]
[tex]\Rightarrow\ x(x+5)-4(x+5)=0\\\\\Rightarrow\ (x+5)(x-4)=0\\\\\Rightarrow\ x=-5, 4[/tex]
So, the zeroes of f(x) are 0, −5, 4 .
Hence, the correct option is 0, −5, 4.
The diagram shows a wedge in the shape of a prism.
Angle BCF is a right angle.
A string runs diagonally across the wedge
from A to F.
Calculate the length A F.
Give your answer correct to 3 significant figures.
Answers
19.3 cm
NO is parallel to ML. How long is OL?
2/3ft
6ft
8ft
12ft
Answers
Answer:
Step-by-step explanation:
Basic Proportionality Theorem: Basic Proportionality Theorem states that "If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio".
Hence, KN/MN=KO/OL.......by bpt
i.e.= 3/9=2/OL
18/3=OL
6feet =OL
answer is b)6feet
pls mark brainliest if it helps
I have an interesting question and there are 15 points up for grabs. I will give thanks, 5 stars and brainliest to a correct answer! :)
Samir has 128 green apples, 56 red apples and 200 pink apples. He needs to put the apples in crates. The apples cannot be mixed within a crate, and Samir wants the same number of apples in each crate. How many apples should each crate be able to hold so that every crate is filled completely?
Answers
which is the recursive formula for this geometric sequence? -16, -7, 2, 11,
Answers
Answer:
A
Step-by-step explanation:
[tex]a_{1}=-16\\c.d. d=-7-(-16)=-7+16=9\\a_{n}=a_{n-1}+d\\a_{n}=a_{n-1}+9[/tex]
Answer:
a1=-16
an=an-1+9
Step-by-step explanation:
This is for clarification for the person above who probably made it confusing for some people
Remember, the letter doesnt matter, because everyones test is in a different order.
I’ll mark you if you’re right:)
Answers
Answer: z=74 , x=6
Step-by-step explanation:
Z = 74
12x+34=180-74
12x=72
x= 6
Answer:
x=6
z=74
Step-by-step explanation:
z and 74 are vertical angles and vertical angles are equal
z = 74
74 and 12x+34 are supplementary angles since they form a line. Supplementary angles add to 180.
74+ 12x+34 = 180
Combine like terms
12x+108 = 180
Subtract 108 from each side
12x = 180-108
12x = 72
Divide by 12
12x/12 = 72/12
x =6
What is the mean absolute deviation of the following numbers? 18 14 0 7 5 7 10 7 6 9 12 3 14 4 11 16 0 10 9 5 0 16 11 2 4
Answers
The mean absolute deviation of the given Dataset is calculated to be approximately; 4.32
How to Calculate Mean Absolute Deviation?We are given the data set; 18 14 0 7 5 7 10 7 6 9 12 3 14 4 11 16 0 10 9 5 0 16 11 2 4
Let us first find the mean;
x⁻ = (18 + 14 + 0 + 7 + 5 + 7 + 10 + 7 + 6 + 9 + 12 + 3 + 14 + 4 + 11 + 16 + 0 + 10 + 9 + 5 + 0 + 16 + 11 + 2 + 4)/25
Mean; x⁻ = 200/25
x⁻ = 8
Using online Mean absolute deviation calculator, we have;
Mean absolute deviation = 4.32
Read more about Mean Absolute Deviation at; https://brainly.com/question/447169
#SPJ2
What is the distance between (-2. 1/2,-3) and (1, -3)?
Answers
Answer:
3 1/2 (in fraction form but 11.2... something) hope this helps
Step-by-step explanation:
Find the missing length to the attached triangle.
Answers
Answer:
x = 135
Step-by-step explanation:
Use the right triangle altitude theorem and similar triangles.
x/81 = 225/x
x^2 = 81 * 225
x = 9 * 15
x = 135
Answer:
135
Step-by-step explanation:
2) The volume of water in swimming pools in a local neighborhood are normally distributed. What is the percentage of
volumes that are within 3 standard deviation of the mean?
Answers
Answer:
The percentage of volumes that are within 3 standard deviation of the mean is 99.73%.
Step-by-step explanation:
We want to calculate the area under the curve within 3 standard deviations from the mean.
If we use the standard normal distribution, this probability can be calculated as the diference between P(z<3) and P(z<-3).
[tex]P(-3<X<3)=P(z<3)-P(z<-3)\\\\P(-3<X<3)=0.9987-0.0013=0.9973[/tex]
The area under the curve for the standard distribution and for any normal distribution within 3 standard deviation from the mean is 0.9973.
The percentage of volumes that are within 3 standard deviation of the mean is 99.73%.
A man has 2 pennies, 3 nickels, 1 dime, and 2 quarters. How many different sums of money can he make using one or more of these 8 coins? I’ll mark brainliest for the answer that includes an explanation :)
Answers
9514 1404 393
Answer:
47
Step-by-step explanation:
There are 4 distinct coin values. The numbers of these are 2, 3, 1, 2. Adding 1 to this set gives us 3, 4, 2, 3, and the product of these numbers is 72.
This is the number of distinct subsets of the coins. However, even though a subset of the coins may be distinct, it may still have the same monetary value as another subset. There are 24 values that can be formed two ways:
10, 11, 12, 15, 16, 17, 25, 26, 27, 35, 36, 37,
40, 41, 42, 50, 51, 52, 60, 61, 62, 65, 66, 67
In general, these involve replacing a dime with 2 nickels, or a quarter with a dime and 3 nickels.
So, removing the value of 0 from the list of 72 possible values, along with these 24 duplicates, leaves a total of 47 different sums of money.
__
Those sums are ...
1, 2, 5, 6, 7, 10, 11, 12, 15, 16, 17, 20,
21, 22, 25, 26, 27, 30, 31, 32, 35, 36, 37, 40,
41, 42, 45, 46, 47, 50, 51, 52, 55, 56, 57, 60,
61, 62, 65, 66, 67, 70, 71, 72, 75, 76, 77
Answer:47
Step-by-step explanation:
How many times will the digit '1' appear if we write all whole numbers from 1 to 999?
Answers
Answer: The number one occurs 300 times while writing the numbers from 1 to 999.
Step-by-step explanation:
Which graph represents the solution set for the system x + y> 5 and -3x + 2y< -2.
Answers
*PLEASE ANSWER* If a town has a density of 8 houses per block and there are 65 blocks in the town, how many houses are in the town? a.) 840 houses b.) 520 houses c.) 1040 houses d.) 2080 houses
Answers
Answer:
520
Step-by-step explanation:
65 blocks multiplied by 8 houses per block
Don’t worry about this it’s extra space
PLEASE HURRY Quadilateral abcd is inscribed in circle z such that AB is parallel to DC and m
Answers
Answer:
41°
Step-by-step explanation:
Looking at the attached diagram
A central angle of a circle is always congruent to its intercepted arc.
Therefore, m arc BC = m∠BZC
Again, m∠BAC is one-half m arc BC, as the measure of an inscribed angle is half the measure of its intercepted arc.
This gives us the following results:
= m∠BZC = 82°
= m arc BC = m∠BZC
= m arc BC = 82°
= m∠BAC = 1/2 × 82°
= m∠BAC = 41°
Note that:
∠DCA ≅ ∠BAC because alternate interior angles are congruent.
So m∠DCA = m∠BAC.
Hence, m∠DCA = 41°.
Given the parent function of f(x) = x^(4, what change will occurr when the function is changed to f((1)/(2) x))
Answers
Answer:
The graph of the function f( (1/2)x ) will expand across x-axis
Step-by-step explanation:
We have been given the function:
f(x) = x⁴
If we substitute x = (1/2)x into the given equation, we get:
f((1/2)x) = ( (1/2)x )⁴
We can simplify the equation
f((1/2)x) = = (1/2)⁴ x⁴
f((1/2)x) = = (1/16) x⁴
Graph of both of the functions is shown below. We can clearly see that that the graph of the function f((1/2)x) = = (1/16) x⁴ expands horizontally on x-axis as compared to the graph of f(x) = x⁴
Find the surface area
Answers
Answer:
Step-by-step explanation:
area of top=7×6=42 yd²
area of bottom=3×6=18 yd²
area of two rectangles=2[4×6]=48 yd²
area of two trapezoids=2[1/2(7+3)×3.5]=35 yd²
total surface area=42+18+48+35=143 yd²
(3a2 - 2ab - 4b2) + (2a2 + 2ab - 5b2)
Answers
Answer:
5a2-9b2
Step-by-step explanation:
combine like terms
then you get your answer
━━━━━━━☆☆━━━━━━━
▹ Answer
5a² - 9b²
▹ Step-by-Step Explanation
(3a² - 2ab - 4b²) + (2a² + 2ab - 5b²)
Remove the parentheses
3a² - 2ab - 4b² + (2a² + 2ab - 5b²)
Remove the opposites and collect like terms
3a² - 4b² + 2a² - 5b²
Final Answer
5a² - 9b²
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Joe traveled 2,450 miles in 43.5 hours. What was his average miles per hour?
Answers
Answer:
56.32 Miles per hour
Step-by-step explanation:
Take the total distance travel (2450) and divide that by the time (43.5) to get the mph. Hope this helps!
Please help me with question eightttt thank you
Answers
Answer:
Question 8 should be 25.6 hours
Step-by-step explanation:
Since time = distance/speed.
We just replace the words with the appropriate numbers.
time =
[tex] \frac{ 3.84 \times {10}^{5} }{1.5 \times {10}^{4} } [/tex]
which equals 25.6
Write 2.37 correct to 1 decimal place
Answers
Answer:
2.4
Step-by-step explanation:
The first decimal place is 3, the digit after that is 7 which is more or equal to 5. So add +1 to the 3, followed by zeros.
2.37 ⇒ 2.40