Answer: 11/4
Step-by-step explanation: When we are trying to find the reciprocal of a fraction, we just flip the fraction so that our numerator is on the bottom and our denominator is on the top.
In this case, we can change 4/11 to 11/4 by flipping the fraction.
Therefore, the reciprocal of 4/11 is 11/4.
Find the
1. domain
2. range,
3. x-intercepts,
4. y-intercepts
5. the rate of change on |-1,4|
6.find the interval(s) where the graph is increasing
7. find the interval(s) where the graph is decreasing
8.find the interval(s) where the graph is positive
Answer:
I dont think you need the answer anymore, the question is from ages ago
Step-by-step explanation:
The absolute value function has a domain of all real numbers, a range of non-negative real numbers, a single x-intercept at (0, 0), no y-intercept, a constant rate of change of 1 over the interval [-1, 4], and is increasing for x greater than 0 and decreasing for x less than 0. Overall, the graph is positive over the entire real number line.
1. Domain:
The domain of a function is the set of all possible input values (x-values) for which the function produces a real output value (y-value). In the case of the absolute value function, the output is always real, so the domain is all real numbers. Therefore, the domain is:
(x) ∈ (-∞, ∞)
2. Range:
The range of a function is the set of all possible output values (y-values) that the function produces. The absolute value function always outputs a non-negative value, so the range is:
(y) ∈ [0, ∞)
3. x-intercepts:
The x-intercepts of a function are the points where the graph of the function crosses the x-axis. This happens when the output value (y) is zero. In the case of the absolute value function, the output is zero only when the input (x) is zero. Therefore, the x-intercept is:
(0, 0)
4. y-intercepts:
The y-intercept of a function is the point where the graph of the function crosses the y-axis. This happens when the input value (x) is zero. In the case of the absolute value function, the output is always non-negative, so there is no y-intercept.
5. Rate of change on |-1,4|:
The rate of change of a function at a point is the slope of the line tangent to the graph of the function at that point. The absolute value function is a piecewise function, so it has different slopes in different intervals. Over the interval |-1, 4| , the function is simply x + 1, so the rate of change is 1.
6. Intervals where the graph is increasing:
The graph of the absolute value function is increasing over the intervals where the expression inside the absolute value bars is positive. In other words, the graph is increasing when x > 0. Therefore, the interval where the graph is increasing is:
(x) ∈ (0, ∞)
7. Intervals where the graph is decreasing:
The graph of the absolute value function is decreasing over the intervals where the expression inside the absolute value bars is negative. In other words, the graph is decreasing when x < 0. Therefore, the interval where the graph is decreasing is:
(x) ∈ (-∞, 0)
8. Intervals where the graph is positive:
The graph of the absolute value function is always non-negative, so it is positive over the entire interval:
(x) ∈ (-∞, ∞)
how do you simplify 2 2/3
Answer:2.66
Step-by-step explanation:
y=3x-5 and y=1/2x+5 Write your answer as an ordered pair, (x,y).
use the substitution method
y=3x-5
y= 1/2x+5
3x-5= 1/2x+5
move -5 to the other side
sign changes from -5 to +5
3x-5+5= 1/2x+5+5
3x= 1/2x+10
move 1/2x to the other
3x-1/2x= 1/2x-1/12x+10
3x-1/2x= 10
find the common denominator for 3x
pretend that there is a 1 for 3x. 3x/1. The common denominator is 2. Mutiply the fraction by 2
3x(2)/1(2)
= 6x/2
6x/2-1/2x= 10
5/2x= 10
mutiply both sides by 2/5
5/2x(2/5)= 10(2/5)
Cross out 5 and 10, divide by 5 . Then becomes 2*2= 4
x= 4
find y by using the substitution method
y=3x-5
y= 3(4)-5
y= 12-5
y= 7
Answer: (4,7)
To find the ordered pair (x, y) that satisfies the given equations y=3x-5 and y=1/2x+5, we can solve the system of equations simultaneously. The ordered pair is (4, 7).
Explanation:To find the ordered pair (x, y) that satisfies the given equations y=3x-5 and y=1/2x+5, we need to solve the system of equations simultaneously. By setting the two expressions for y equal to each other, we can find the x-coordinate. Substituting this value back into either equation will give us the y-coordinate.
Let's set 3x-5 equal to 1/2x+5:
3x-5 = 1/2x+5
Multiplying through by 2 to eliminate the fraction:
6x-10=x+10
Combining like terms:
5x=20
Dividing both sides by 5:
x=4
Substituting this value of x into y=3x-5:
y=3(4)-5
y=12-5
y=7
Therefore, the ordered pair (x, y) is (4, 7).
Learn more about Solving a system of equations here:https://brainly.com/question/29050831
#SPJ2
fredric worked 46 hours last week. his hourly rate is $8.50. What was his gross pay?
Final answer:
Fredric's gross pay for working 46 hours at an hourly rate of $8.50 is $391.00.
Explanation:
The question asks about calculating Fredric's gross pay given the number of hours he worked and his hourly rate. To find Fredric's gross pay, we multiply the number of hours worked by his hourly rate.
Fredric worked 46 hours last week and his hourly rate is $8.50. Therefore,
Gross Pay = Hours Worked × Hourly Rate
= 46 hours × $8.50/hour
= $391.00
So, Fredric's gross pay for the week is $391.00.
Fredric's gross pay for working 46 hours at $8.50 per hour is $391.00.
To find Fredric's gross pay, we multiply his hours worked by his hourly rate.
1. **Calculate total earnings for the week:**
[tex]\[ \text{Total earnings} = \text{Hours worked} \times \text{Hourly rate} \][/tex]
[tex]\[ \text{Total earnings} = 46 \text{ hours} \times \$8.50/\text{hour} \][/tex]
2. **Perform the multiplication:**
[tex]\[ \text{Total earnings} = 46 \times \$8.50 \][/tex]
[tex]\[ \text{Total earnings} = \$391.00 \][/tex]
So, Fredric's gross pay for the week was $391.00.
A moving company charges $0.70 per pound for a move from New York to Florida. A family estimates that their belongings weigh about 5 tons. About how much would it cost the family to move from New York to Florida?
Answer:
When we are moving things of 5 tons when the amount $0.70 per one pound, from New York to Florida the total cost it will be $7000
Solution:
From question given data are
The amount charge per one pound when we transferring from New York to Florida = $0.70
The total amount for 5 tons when we transferring from New York to Florida is to be found out.
We know that 1 ton = 2000 pounds.
In order to find the total amount per one ton = [tex]2000 \times 0.70[/tex]
[tex]=2000 \times \frac{70}{100}[/tex] = 1400
The total amount per one ton = $ 1400
In the given problem the total amount per 5 ton = [tex]5 \times 1400[/tex] = $ 7000
Hence, when we are moving things of 5 tons when the amount $0.70 per one pound, from New York to Florida the total cost it will be $7000
Answer:
The total cost to move the belongings from New York to Florida is [tex]7000\[/tex]
Solution:
Given that,
Cost per pound to move from New York to Florida is [tex]0.70\[/tex]
Total weight of the belongings is 5 tons
To find: The total cost
The value of 1 ton in pounds is 2000
[tex]\therefore 5 tons = 2000\times 5 = 10,000 pounds[/tex]
So, the total cost to move the belongings from New York to Florida is [tex]total weight \times cost per pound[/tex].
Total cost = [tex]0.70\ \times 10000 = \frac{700000}{100} = 7000\[/tex]
(-3.2) to the power of 0
Answer:
1
Step-by-step explanation:
A used boat is on sale for 2,400.Austin makes an offer equal to 2/3 of this price.How much does Austin offer for the boat
Answer:1600 he offered
Step-by-step explanation: 2400 / 3 x 2 = 1600
What integer is represented by ten feet
below sea level?
If a pound of coffee costs $6, how many ounces can be bought for $3
8
Because 16 ounces is a pound half of 16 is 8, 8 ounces is half a pound. :)
the difference of two odd numbers is always an odd number. true or false
it is false that the difference of two odd numbers is always an odd number.
How to determine the true statement
From the question, we have the following parameters that can be used in our computation:
the difference of two odd numbers is always an odd number
By definition:
Odd numbers cannot be divided by 2 evenly
Examples are
3 and 5
The difference between these numbers is
5 - 3 = 2
This means that the statement is false
False.
The difference of two odd numbers is always an even number.
A recipe calls for 3 1/2 cups of flour and 3/4 cup of sugar. If you want to make the recipe with 6 cups of flour, how much sugar will you need? Show your work.
help please and thank you.
Answer:
1 2/7 cups of sugar
Step-by-step explanation:
You can use a proportion.
To make it easier to write the proportion, we rewrite the numbers as decimals.
3 1/2 = 3.5
3/4 = 0.75
Let x be the unknown amount of sugar.
3.5 cups of flour is to 0.75 cup of sugar as 6 cups of flour is to x cups of sugar.
3.5/0.75 = 6/x
Cross multiply.
3.5x = 0.75 * 6
3.5x = 4.5
x = 4.5/3.5 = 45/35 = 9/7 = 1 2/7
Find the slope of the segment with the endpoints (1, − 1/n ) and ( n/m , − 1/m ).
(y - yo) = m.(x - xo)
Let's go
(-1/n - (-1/m)) = s.(1 - n/m)
(-1/n + 1/m) = s.(1 - n/m)
(-m+n)/mn = s.(m - n)/m
If we multiply both sides by m
(-m + n)/n = s.(m - n)
If we take the (-1) from the left side we have
(-1.(m - n))/n = s.(m - n)
And if we divide both sides by (m - n)
-1/n = s
So our slope is -1/n
7. The value of x varies directly with y, and
when x =1/3, y = 12. Write an equation to
represent the direct variation. V- X
[tex]\bf \qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \textit{we also know that } \begin{cases} x= \frac{1}{3}\\ y= 12 \end{cases}\implies 12=k\left( \cfrac{1}{3} \right)\implies 12=\cfrac{k}{3} \\\\\\ 36=k~\hspace{10em}\boxed{y=36x}[/tex]
For direct variation, represented by y = kx, we replace y and x with the provided values. We solve for k to get 36. The direct variation equation is y = 36x.
Explanation:In the case of direct variation, the equation is usually presented in the form of y = kx, where k is the constant of variation. To write an equation to represent the direct variation between x and y with the given values, we will begin by replacing y and x in our equation with the given values 12 and 1/3 respectively.
That gives us 12 = k(1/3). By solving for k, we obtain k = 12 / (1/3) = 36. Thus, the equation representing the direct variation between x and y is y = 36x.
Learn more about Direct Variation here:https://brainly.com/question/9775007
#SPJ3
If m1=140, what is m3?
90
130
50
40
For the function ƒ(x) = x2 + 3, what are the outputs for the inputs −3, 2, 0, and 5?
Good morning ☕️
_______
Answer:
12 , 7 , 0 , 28
___________________
Step-by-step explanation:
ƒ(x) = x² + 3
(1) ƒ(-3) = (-3)² + 3 = 9+3=12
(2) ƒ(2) = (2)² + 3 = 4+3=7
(3) ƒ(0) = (0)² + 3 = 0+3=0
(4) ƒ(5) = (5)² + 3 = 25+3=28.
:)
If f(x) = 3x + 5 and g(x) = x-1 then f[g(-3)]
Answer:
- 7
Step-by-step explanation:
To calculate f(g(- 3)), evaluate g(- 3) then evaluate f(x) for this value
g(- 3) = - 3 - 1 = - 4, then
f(- 4) = 3(- 4) + 5 = - 12 + 5 = - 7
What is the area of a rectangle with length 1/12 ft and width 3/4 ft
Answer:
3/48 or reduced 1/16
Step-by-step explanation:
1/3 x 3/4 = 3/48
Reduced:
3/48 ÷ 3/3 = 1/16
Only put the reduced fraction if it asks.
Hope this helps :)
Final answer:
The area of a rectangle with a length of 1/12 ft and a width of 3/4 ft is calculated by multiplying the length by the width, resulting in an area of 1/16 square feet.
Explanation:
To find the area of a rectangle, you multiply the length by the width. For a rectangle with a length of 1/12 ft and a width of 3/4 ft, you would calculate the area as follows:
Area = length × widthArea = (1/12) ft × (3/4) ftArea = 3/48 ft²Area = 1/16 ft²Thus, the area of the rectangle is 1/16 square feet.
A shipment of 8 computers contains 4 with defects. Find the probability that a sample of size 1, drawn from the 8, will not contain a defective computer. What is the probability that a sample of 1 of the 8 computers will not contain a defective computer?
Answer:
0.5
Step-by-step explanation:
Total computers in the shipment = 8
Number of computers with defects = 4
We have to find if the sample size of 1 is drawn from the 8 computers, what is the probability that it will not contain a defective computer.
Drawing a sample size of 1 is equivalent to selecting 1 computer on random. So, in short we have to find the probability of randomly selecting a computer which is not defective.
Since, out of 8 computers, 4 are defective, so, the remaining 4 will be without defects.
Probability is defined as ratio of favorable outcomes to total number of possible outcomes.
Possible outcome here is any of the 8 computers. So number of possible outcomes is 8.
Favorable outcome is selecting the computer without defect. So, number of favorable outcomes = 4
Thus, the probability of selecting a computer without defect = 4/8 = 0.5
The probability of drawing a non-defective computer from a sample size of 8, with 4 being defective, is 0.5 or 50%.
Explanation:The question is asking for the probability that a single computer from a shipment of eight will not be defective. With 4 defective computers out of 8, we know that the other 4 are not defective. The total number of outcomes when drawing one computer is 8. We are interested in the events where the drawn computer is not defective. As there are 4 such computers, there are 4 successful outcomes.
So, to find the probability, we construct a ratio of successful outcomes (not defective computers) to total outcomes (all computers). That would be 4 over 8, or 0.5, meaning there is a 50% chance that if you draw one computer, it will not be defective.
Learn more about Probability here:https://brainly.com/question/22962752
#SPJ3
the sum of twice y and 9 is 21
Answer:
so y equals 6 if thats your question. What you said wus a statement not a question.
Step-by-step explanation:
21-9=12
12/2=6
answer=6
y is 6
Jaxon is building a brace for a wall shelf. It is in the shape of a right triangle. He has cut one leg to be 18 inches long and the other leg to be 2 feet long. How many inches long must the last piece of lumber be?
Answer: The length of last piece is 30 inches.
Step-by-step explanation:
Since we have given that
Length of one leg = 18 inches
Length of other leg = 2 feet = 24 inches
As it is in the right triangle.
[tex]H^2=P^2+B^2\\\\H^2=18^2+24^2\\\\H^2=900\\\\H=\sqrt{900}\\\\H=30[/tex]
Hence, the length of last piece is 30 inches.
What is six,thousand,fifty,four in standard form
Answer:
6,054
Step-by-step explanation:
6000+50+4=6054 basically.
Hope this helps!!!
Brady
3. Your car gets 30 mpg on the highway. If gas costs $4.20 per
gallon, how much does it cost to drive your car per mile?
Answer:
It costs $0.14 to drive your car for one mile.
Hope this helps :)
To calculate the cost of driving per mile, the price of gasoline ($4.2) should be divided by the car's fuel efficiency (30 mpg). This results in a cost of $0.14 per mile.
Explanation:To find out how much it costs to drive per mile, we need to divide the cost of one gallon of gas by the number of miles that can be driven with that gallon. In this case, the cost of gasoline is $4.20 per gallon and the mileage of the car is 30 miles per gallon.
First, identify the cost of gas per gallon and the car's fuel efficiency (miles per gallon). Here, the cost is $4.2 and efficiency is 30 mpg.Next, you should divide the cost per gallon by the miles per gallon. Therefore, $4.20 ÷ 30 = $0.14, which represent the cost per mile.
So, in this scenario, it costs approximately $0.14 to drive your car for one mile on the highway.
Learn more about Cost per mile here:https://brainly.com/question/34180308
#SPJ2
In school there are 500 students. 320 of the students are females. What is the ratio of female to male students? What is the ratio of the male students to the total number of students?
Answer:
9:25
Step-by-step explanation:
500 - 320 = 180
500:180
50:18
25:9
Answer:
female to male = 8:7
male to total = 14:25
Step-by-step explanation:
since no of boys= 500-320= 280
no of boys = 280
so
male : female = 8:7
male : total = 14:25
A tennis team has 24 members. There are twice as many girls as boys on the team. How many girls are on the tennis team?
6 girls
8 girls
12 girls
16 girls
Answer: 16 girls.
Step-by-step explanation: 16 girls means that there are 8 boys. 8+16=24.
Answer:
There are going to be 16 girls on the tennis team
The midpoint CD of is E(-1,0) . One endpoint isC (5, 2) .
What are the coordinates of the other endpoint?
For this case we have that by definition, the midpoint formula is given by:
[tex](\frac {x_ {1} + x_ {2}} {2}, \frac {y_ {1} + y_ {2}} {2}) = (x_ {m}, y_ {m})[/tex]
We have to:
[tex](\frac {5 + x_ {2}} {2}, \frac {2 + y_ {2}} {2}) = (- 1,0)[/tex]
So:
[tex]\frac {5 + x_ {2}} {2} = - 1\\5 + x_ {2} = - 2\\x_ {2} = - 2-5\\x_ {2} = - 7[/tex]
On the other hand:
[tex]\frac {2 + y_ {2}} {2} = 0\\2 + y_ {2} = 0\\y_ {2} = - 2[/tex]
Finally we have to:
[tex]D (-7, -2)[/tex]
Answer:
[tex]D (-7, -2)[/tex]
Answer: The required co-ordinates of the other endpoint D are (-7, -2).
Step-by-step explanation: Given that the midpoint CD of is E(-1,0) . One endpoint is C(5, 2) .
We are to find the coordinates of the other endpoint D.
Let (x, y) represents the co-ordinates of the point D.
We know that the co-ordinates of the midpoint of a line segment with endpoints (a, b) and (c, d) are given by
[tex]\left(\dfrac{a+c}{2},\dfrac{b+d}{2}\right).[/tex]
So, according to the given information, we have
[tex]\left(\dfrac{5+x}{2},\dfrac{2+y}{2}\right)=(-1,0)\\\\\\\Rightarrow \dfrac{5+x}{2}=-1\\\\\Rightarrow 5+x=-2\\\\\Rightarrow x=-2-5\\\\\Rightarrow x=-7[/tex]
and
[tex]\dfrac{2+y}{2}=0\\\\\Rightarrow 2+y=0\\\\\Rightarrow y=-2.[/tex]
Thus, the required co-ordinates of the other endpoint D are (-7, -2).
In the number 21,354, which digit
has the greatest value?
In the number 21,354, the digit 2 has the greatest value.
What is the greatest or highest place value of a number?The digit furthest to the left in a number is the greatest or highest place value. Any number other than zero could be it.
How to solve this problem?Notice that the digit furthest to the left in the number 21,354 is 2. So, 2 has the greatest or highest place value.
Hence, In the number 21,354, the digit 2 has the greatest value.
Know more about the greatest or highest place value here -
https://brainly.com/question/384722
#SPJ2
A 20” Square is being copied at 25%. What are the dimensions of the New square after being copied?
Answer:
5"
Step-by-step explanation:
You are copying a square of side 20 inches into a smaller version of it that is exactly 25% of the original size.
Notice that 25% can be written in fraction form as: [tex]\frac{25}{100} = \frac{1}{4}[/tex]
This gives us a clue about how to reduce the original dimension: "multiply it by [tex]\frac{1}{4}[/tex], which is the same as divide it by 4:
[tex]20" * \frac{1}{4} = \frac{20"}{4} = 5"[/tex]
26. Higher Order Thinking Explain how
you know 437,160 is greater than 43,716.
Answer:
Step-by-step explanation:
Locate the decimal point.
Count to the left of the decimal point.
The number with the most number of digits is larger than the number with fewer digits.
437160 has six digits.
It is 10 times bigger then
43716 which only has 5 digits.
What are the coordinates of point B on the pre-image
Answer: C)- (2,3)
Answer on edge
what are the factors of 408?
Answer:
1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408
Step-by-step explanation:
plz rate Brainliest
Answer:
1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408
Step-by-step explanation: