Answers
The output of the linear function is -n+3 when the input is n.
What is a slope?The slope of a line can be used to calculate its steepness. The slope or gradient of a line is a number that indicates its direction and steepness.The slope is calculated by dividing the vertical change by the horizontal change between any two distinct points on a line. The ratio is sometimes written as a quotient, which produces the same number for every two distinct points on the same line.How to find the output of the linear function?A linear equation is given by ,
f(x) = mx+ c ---(1)
From the table,
x value increases by 1
y value decreases by 1
The function's slope, or the coefficient that converts an increase in x to an increase in y, is represented by the letter m.So, the coefficient slope(m) magnifies the decrease by 1Substituting slope m = - 1 in (1)
f(x) = -x+ c ---(2)
Substitute (1, 2) in (2)
2 = -1 +c
c = 2 + 1
c = 3
Substitute slope m and c in (2)
f( x ) = - x + 3
When input is n output is given by,
f(n) = - n + 3
The output of the linear function is -n+3 when the input is n.
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Related Questions
One-Step Inequalities MC) Solve k over negative 3.7 is less than or equal to negative 2.2 for k. k ≥ 8.14 k ≤ −8.14 k ≥ −5.9 k ≤ −5.9
Answers
Answer: k>8.14
Step-by-step explanation: just do math.
What is the slope of the line on the graph
Answers
Answer:
Slope is -2!
y= -2x
Step-by-step explanation:
Based on the 2 points given: (3, -6) (-3, 6)
Examine graphs A and B. What do you notice about the difference between the Y axis for the good graph A and the Poot graph B? How is a break shown on the Y axis of graph A
Answers
Answer:
The well-desgined graph has an appropriate scale for the y-axis. By appropriate we mean that the scale is such that all points on the graph can be discerned easily. In other words, the scale is not too wide or too narrow.
For graph A, the scale is such that the data points are at such a distance from each other that their values can be easily read off. On the other hand, for graph B, there isn't enough vertical distance between the data points for them to be easily read.
Steven earns extra money babysitting. He charges $33.75 for 5 hours and $47.25 for 7 hours.
Enter an equation to represent the relationship. Let x represent the number of hours Steven babysits a
y represent the amount he charges.
The equation is y =
Answers
Answer:
y = 6.75x
Step-by-step explanation:
$33.75 ÷ 5 = $6.75
$47.25 ÷ 7 = $6.75
So we have y = 6.75x.
A fair number cube with the numbers 1, 2, 3, 4, 5, and 6 is rolled
a. What is the probability of getting an even number?
b. What is the probability of getting a factor of 6?
Answers
The probability of getting an even number is 1/2 while the probability of getting a factor of 6 is 1/6
How to determine the probabilities?The probability of an even number
From the question, the sample space of the number cube is given as
Space = 1, 2, 3, 4, 5, and 6
The above means that
Sample size, n = 6 ---- i.e. the number of observations
Number of even numbers, x = 3
The probability of getting an even number is then calculated as
P(Even) = Number of even numbers/Sample size
This gives
P(Even) = 3/6 = 1/2
The probability of a factor of 6
From the question, the sample space of the number cube is given as
Space = 1, 2, 3, 4, 5, and 6
The above means that
Sample size, n = 6 ---- i.e. the number of observations
Number of factor of 6, x = 1
The probability of getting a factor of 6 is then calculated as
P(factor) = Number of factor of 6/Sample size
This gives
P(factor) = 1/6
Hence, the probability is 1/2 and 1/6
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what is the rewritten answer to solve for the variable? solve 4x-2y=14 for y
Answers
y=-7+2x
Explain:
Move ‘y’to the left
-2y=14+5x
Divide by -2
-2y=14+4x/-2
y=-7+2x
Eleanor and Max used two rectangular pieces of plywood, placed end-to-end, to make a long rectangular stage for the school play. One board was 6 feet long, and the other was 5
1
2
feet long. The two pieces of plywood had equal widths. The total area of the stage was 66
1
8
square feet. What was the width of the plywood?
Answers
The width of the plywood = 23/8 ft
The two rectangular pieces of plywood had equal widths.
The length of first rectangular piece = 6 ft
The length of second rectangular piece = 5 1/2 ft = 11/2 ft
The two pieces are joined to make a single rectangular stage.
Then the total length of the stage = 6 + 11/2 = 23/2 ft
Now area of the rectangular stage = 66 1/8 = 529/8 square feet.
⇒ length x width = 529/8
⇒ 23/2 x width = 529/8
⇒ width = 529/8 x 2/23 = 23/4 ft
Let 'x' be the width of a rectangular plywood.
Then 2x = width of the stage
⇒ 2x = 23/4
⇒ x = 23/8 ft
Hence width of the plywood = 23/8 ft
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Terry bought 2 shirts for $14 each, 2 pair of socks for $2.99 a pair, and a pair of slacksfor $25.00. The sales tax rate is 6.5%. How much did he pay? (Enter the dollar amountonly. Round to the nearest cent.)
Answers
Answer:
Explanation:
Terry bought 2 shirts for $14 each.
That is $28 on shirts
2 pair of socks for $2.99
That is $5.98 on socks
A pair of slacks for $25
The sales tax rate is 6.5% or 6.5/100 or 0.065
We want to know how much he paid.
Adding all the items he bought together, we have:
$28 + $5.98 + $25
= $58.98
Next, we apply the sales tax rate.
Take 6.5% of $58.98
This is: $58.98 * 0.065
= $3.83
Finally, add the sales tax with the amount we got
$58.98 + $3.83
= $62.81
He paid $62.81 in total
Instructions: Determine whether the graph is a correct representation of the given inequality. If there is an error, select which error is present.
Answers
The given inequality is,
[tex]y\leq-\frac{5}{2}-4[/tex]The graph of the inequality will be shown below
Vab if a = √8 and b = 2√√/2
Answers
Answer:
I will assume that 2√√/2 is actually 2[tex]\sqrt{2}[/tex]
Vab = 8
Step-by-step explanation:
ab
([tex]\sqrt{8}[/tex])*( 2[tex]\sqrt{2}[/tex])
2*[tex]\sqrt{16}[/tex]
2*4
Vab = 8
A train of length 150 metres entered a straight tunnel of length s metres. It took the entire crossing of the tunnel in a time of 15 seconds. Find the length of the tunnel if the train moves with uniform velocity equals 90 km./hr
Answers
The tunnel measures 225 meters in length.
Uniform velocity: What is it?
Velocity is the measure of how quickly an object's position changes over time and in relation to a frame of reference. A body moves across space with uniform velocity when it does so with an equal displacement per unit of time.
Velocity is equal to the product of distance and time.
It measures in m/s.
In response to the query, we are provided with the-
150m is the length of the train.
s m is the tunnel's length.
90 km/hr is the train's speed.
= 90 × 5/18 m/sec
= 25m/sec
Total distance equals (train length plus tunnel length).
[tex]Speed = \frac{Distance}{Time}[/tex]
⇒ 25 = (150 + s) / 15
⇒ 25 × 15 = 150 +s
⇒ 375 = 150 + s
⇒ 375 - 150 = s
⇒ s = 225
⇒ s = 225m
Hence, the length of the tunnel is 225 m.
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pls help asap Noor’s family is meeting her grandparents at a restaurant. The restaurant is 24.5 miles from Noor’s house. This is 65.5% of the distance from Noor’s house to her grandparents’ house. What is the distance between the two houses? Round your answer to the nearest tenth of a mile.
Answers
The distance between Noor's house and her grandparent's house is 37.40 miles or if rounded off to the nearest tenth, it will be 40 miles using the estimation concept.
As per the question statement, Noor’s family is meeting her grandparents at a restaurant and the restaurant is 24.5 miles from Noor’s house but this is 65.5% of the distance from Noor’s house to her grandparents’ house.
We are supposed to find the distance between Noor's house and her grandparent's house. We will use the concept of estimation.
Distance between Noor's house and restaurant = 24.5 miles
Let distance between Noor's house and her grandparent's house be "x" miles.
So the distance between grandparent's house and restaurant = x - 24.5
Now it is given that 24.5 miles is 65.5% of the distance from Noor’s house to her grandparents’ house.
So, 65.5% of x = 24.5
(65.5*x)/100 = 24.5
65.5*x = 2450
x = 2450 / 65.5
x = 37.40 miles
If rounded off to the nearest tenth mile, we get
x = 40 miles.
So, the distance between Noor's house and her grandparent's house is 37.40 miles or if rounded off to the nearest tenth, it will be 40 miles.
Estimation: Having an approximate estimate of something's worth, number, size, or extent is referred to as estimation in mathematics.To learn more about this Estimation click on the link given below:
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[tex]please \: help \: me \: i \: keep \: getting \: the \: wrong \: am \\ answer[/tex]
2. The populations of five cities in California are listed below. What is the combined population of San Diego and Fresno?
City | Population
______________________
Los Angeles | 3,928,864
______________________
San Diego. | 1,381,069
______________________
San Jose | 1,015,785
______________________
San Francisco| 852,469
______________________
Fresno | 515,986
Answers
Answer:
1,897,055
Step-by-step explanation:
1,381,069+515,986=1,897,055
prove that: [tex](a+b)^-^1.(a^-^1 +b^-^1) = (ab)^-^1[/tex]
Answers
Answer:
See below
Step-by-step explanation:
[tex]\frac{1}{a+b}[/tex] ([tex]\frac{1}{a}[/tex] + [tex]\frac{1}{b}[/tex])
[tex]\frac{1}{a+b}[/tex] ([tex]\frac{b}{ab}[/tex] + [tex]\frac{a}{ab}[/tex])
[tex]\frac{1}{a+b}[/tex] ([tex]\frac{b+a}{ab}[/tex])
[tex]\frac{(a+b)}{(a+b)(ab)}[/tex]
[tex]\frac{1}{ab}[/tex]
[tex]ab^{-1}[/tex]
In the figure shown at right, the area of the large rectangle is (5x)(8x+1) and the area of the small rectangle is (4x)(2x) which of the following expression represents the area of the shaded region?
Answers
Given:
Area of large rectangle = (8x + 1)(5x)
Area of small rectangle = (4x)(2x)
To find area of the shaded region, subtract the area of the small rectangle from the large rectangle.
We have:
Area of large rectangle =
[tex]\begin{gathered} (8x+1)(5x) \\ \\ =8x(5x)+1(5x) \\ \\ =40x^2+5x \end{gathered}[/tex]Area of small rectangle =
[tex]\begin{gathered} (4x)(2x) \\ \\ =8x^2 \end{gathered}[/tex]Area of shaded region =
[tex]\begin{gathered} (40x^2+5x)-(8x^2) \\ \\ 40x^2+5x-8x^2 \\ \\ \text{Combine like terms:} \\ 40x^2-8x^2+5x \\ \\ =32x^2+5x \end{gathered}[/tex]Therefore, the area of the shaded region is = 32x² + 5x
ANSWER:
[tex]32x^{2}+5x[/tex]Which of the following statements is the best description of a survey?
A survey is a list of questions used to acquire customer feedback.
A survey is a study that collects data on every subject in sample.
A survey always collects categorical data.
A survey is a kind of convenience sample.
Answers
Answer:
I believe it's " a study that collects data on every subject in sample"
PLS TELL ME ASAPPPPP
Answers
3x-(2x+10) for x= 7 5/13
Answers
The result of the expression 3x-(2x+10) for x = [tex]7\frac{5}{13}[/tex] is -2.61
The expression is
3x-(2x+10)
The expression is the mathematical sentence with a minimum of two variables and at least one math operation.
The value of the x = [tex]7\frac{5}{13}[/tex]
Convert the mixed fraction to the simple fraction
[tex]7\frac{5}{13}[/tex] = 96/13
Convert the simple fraction to the decimal form
96/13 = 7.39
Substitute the value of x in the given expression 3x - (2x + 10)
= 3 × 7.39 - (2×7.39 + 10)
Multiply the terms first
= 22.17 - (14.78 + 10)
= 22.17 - (24.78)
= -2.61
Hence, the result of the expression 3x-(2x+10) for x = [tex]7\frac{5}{13}[/tex] is -2.61
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Simplify the expressions:
a. (7x²+ 2) + (2x² +3) =
b. (5x + 2) + (8x +3) =
c. (5x)(8x +3) =
Answers
Answer:
a. (7x²+2) + (2x²+3)
= 9x² + 5
b. (5x + 2) + (8x + 3)
= 13x +5
c. (5x)(8x + 3)
= 40x² + 15x
What is an equation of a line, in point-slope form, that passes through (1, - 7) and has a slope of -2/3?
Answers
Answer:
A
Step-by-step explanation:
sk-00000y5 Cog 10) -7x+2y=18 6361-30 33 42952 read 10,000 13x+40%3D2Ax0 Swazo 7-12 - 1234-5y=1722119 ターにはまった Ax - Ay=0 いりさわさったのにーちゃん 14) 42-y=20 Solve each system by elimination. 1S) 8x-6y%3D-20 ~16x+7y%3D30 y2-2142 りたい セー Crysoe Y=24 doe 24 -2x-2y= 10 JS-04-26 とおり 2012-2010 2010年10 プラス・マトリー 7 10分 16) 6x-12y = 24 yeye 一X-6y=4 Hey-400 SK-121024 ~42-30) 224.5メートル 60-124:24 カー123) 2012 ームが2012 1348
Answers
Given:
The linear equations are,
[tex]\begin{gathered} 20x-8y-22x-16=0 \\ -22x-18y=36 \end{gathered}[/tex]The objective is to solve by elimination method.
The equations can be rearranged as,
[tex]\begin{gathered} -2x-8y=16\text{ ..}\ldots..\ldots\ldots(1) \\ -22x-18y=36\text{ ..}\ldots..\ldots\ldots(2) \end{gathered}[/tex]To solve the equation, multiply equation (1) b
True or False
Corresponding angles must be proportional.
O True
O False
Answers
Answer:
True
Step-by-step explanation:
Matching sides of two or more polygons are titled corresponding sides,and matching angles are titled corresponding angles . If two figures are lookalike,then the measures of the corresponding angles are similar and the ratios of the lengths of the corresponding sides are proportional .
Point C(6,-2)is dilated from the origin by scale factor r =3/4.what are the coordinates of point c
Answers
the coordinates of point c is (9/2, -3/2)
Explanation:The original coordinate = C(6, -2)
scale factor r =3/4
New coordinate (c) = scale factor × the original coordinate
c = 3/4(6, -2)
c = (3/4×6, -2×3/4)
c = (18/4, -6/4)
c = (9/2, -3/2)
Hence, the coordinates of point c is (9/2, -3/2)
2/4 x 1/3 because i need help
Answers
Answer:
5/6
Step-by-step explanation:
Step 1: Find the GCD (greatest common denominator)
12
Step 2: multiply your factions to represent this
[tex]\frac{2x3}{4x3} = \frac{6}{12} \\[/tex] , [tex]\frac{1x4}{3x4} = \frac{4}{12}[/tex]
Step 3: add the numerators:
[tex]\frac{6}{12} + \frac{4}{12} = \frac{10}{12}[/tex]
Step 4: reduce your fraction
[tex]\frac{10}{12} = \frac{5}{6}[/tex]
Hope that helps
Fraction multiplication
2/4 x 1/3
We reduce the fraction 2/4 to its lowest expression by extracting and canceling 2.
1/2 x (1/3)
Multiply 1/2 by 1/3 (to do this, multiply the numerator by the numerator and the denominator by the denominator).
1 x 1/2 x 3 =====> Multiply
1/6 ====> Answer
I need help with this for my class
Answers
but I believe that they relations are not functions because the line hits the graph at one or more spots.
Mr. Ridley has 4 boxes of pencils and 7 single pencils. In all, he has 79 pencils. How many
pencils are there in a box?
Answers
Answer:
18
Step-by-step explanation:
You want to know the number of pencils in a box when 7 more than 4 boxes totals 79 pencils.
SetupLet b represent the number of pencils in a box. Then the total number of pencils Mr. Ridley has is ...
4b +7 = 79
SolutionThis 2-step linear equation is solved in the usual way:
Step 1: isolate the variable term
4b +7 -7 = 79 -7 . . . . . . add the opposite of the left-side constant
4b = 72 . . . . . . . . . simplify
Step 2: isolate the variable
4b/4 = 72/4 . . . . . . . . . . divide by the coefficient of the variable
b = 18 . . . . . . . . . . simplify
There were 18 pencils in each of Mr. Ridley's pencil boxes.
in the first week of July, a record 1,020 people went to the local swimming pool. In the second week, 100 fewer
people went to the pool than in the first week. In the third week, 135 more people went to the pool than in the second week.
In the fourth week, 137 fewer people went to the pool than in the third week. What is the percent decrease in the number of
people who went to the pool over these four weeks?
Answers
With the concepts of percentages and calculations, the percent decrease in the number of people who went to the pool over these four weeks is 10%
What is the way to solve percentages?Take the base as 100 and convert the percentage to numbers and then proceed with the same.
Now, the initial number of people in the local swimming pool is 1020, after which 100 fewer went, hence 920 people
Now, 135 people more people need to be added, thus 1055 people.
Now, 137 fewer people went, so 918 people went to the pool in the four weeks.
Therefore percent decrease = Difference/No. of people in the first week * 100
Thus, the percent decrease = 102/1020*100=10%
Hence 10% of people went less in the fourth week as compared to the first week.
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PLEASE PLEASE HELP!!!
Answers
If you are trying to find x, you would want to do tangent of 26 (trigonometry). You would get 26tan17 which equals roughly 90.84. Hope this helps.
Mia made at least one mistake when
simplifying the expression below. The steps she took are shown.
Step 1:
Step 2:
Step 3:
In which step did Mia make her first mistake?
Choose one option from each drop-down menu to answer the questions
Mia made a mistake in Choose. She simplified the Choose
Choose
incorrectly She should have
Answers
Using properties of exponents, it is found that Mia's first mistake is described as follows:
Mia made a mistake in Step 3. She simplified the exponents 16 and -8 incorrectly. She should have subtracted them.
Which properties of exponents are used in this problem?When two terms with the same base and different exponents are multiplied, we keep the base and add the exponents, as follows:
3^0 x 3^(16) = 3^(0 + 16) = 3^16.
Hence the Step 1 is correct.
For the power of power rule, we keep the base and multiply the exponents, hence:
(3^(-4))² = 3^(-4 x 2) = 3^(-8).
Hence the Step 2 is correct.
When two terms with the same base and different exponents are divided, we keep the base and subtract the exponents, as follows:
3^16/(3^(-8)) = 3^(16 - (-8)) = 3^(16 + 8) = 24.
Which is Mia's mistake, as she did not subtract the exponents.
What is the missing information?The steps are missing and are given by the image at the end of the answer.
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4. Write a quadratic function given the roots (3, 0) and (-1, 0)
and the point (4, 10).
Answers
character character character