Answers
The graph of the inequality y < 1 - 3x is in the attachment below.
How to Graph an Inequality?Given the inequality, y < 1 - 3x, we need to determine if the line of the inequality graph will be dashed or solid, the slope (m) of the line, and the y-intercept (b).
The slope (m) of the inequality y < 1 - 3x is -3. This means the line would be a declining line where the rise/run = -3.
The y-intercept (b) of the inequality y < 1 - 3x is 1. This means the line would intercept the y-axis at y = 1.
The boundary line of the inequality graph for y < 1 - 3x would be a dashed line because of the inequality sign "<". It also means the shaded part would be below the boundary line, because, the inequality sign, "<" means the the values are not included.
The graph that will represent the inequality given is the image attached below.
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Related Questions
Find the vertex of the function given below.
y = 2x² + 4x+1
A. (3,-4)
B. (-1,-1)
C. (1,7)
D. (-4,9)
Answers
The function has the vertex value of (-1, -1)
How to calculate the vertex of the function?From the question, the definition of the functuion is given as
y = 2x² + 4x + 1
Start by differentiating the function
This is done as follows
y' = 4x + 4
Next, we set the differentiated equation to 0
So, we have the following equation
4x + 4 = 0
This gives
4x = -4
Divide by 4
x = -1
Next, we substitute x = -1 in the given equation y = 2x² + 4x + 1
So, we have the following equation
y = 2(-1)² + 4(-1) + 1
Evaluate
y = -1
Recall that
x = -1 and y = -1
So, we have
(-1, -1)
Hence, the vertex of the function is (-1, -1)
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The vertex of the given function y = 2x² + 4x+1 is (-1, -1) which is the correct answer would be an option (B).
The function is below given by,
y = 2x² + 4x + 1
Differentiate with respect to x to get the derivative of the above function,
y' = dy/dx = d/dx (2x² + 4x + 1)
y' = 4x + 4
Equating the derivative of the function to zero
y' = 0
4x + 4 = 0
4x = -4
Divide by 4 into both sides of the equation,
x = -1
Substitute x = -1 in the given function y = 2x² + 4x + 1
y = 2(-1)² + 4(-1) + 1
y = 2(1) - 4 + 1
y = -1
Therefore, the vertex of the given function is (-1, -1).
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What is the value of p will the function be continuous?
Answers
The value of p that will guarantee the continuity of the function is given as follows:
p = 6.5.
What is the continuity concept?A function defined by f(x) is continuous at a point x = a if it is defined at x = a, and the lateral limits are equal, that is:
[tex]\lim_{x \rightarrow a^-} f(x) = \lim_{x \rightarrow a^+} f(x) = f(a)[/tex]
In the context of this problem, the continuity of the function will be guaranteed if the lateral limits at x = -1 are equal.
To the left of x = -1, the function is less than -1, hence the lateral limit is:
lim x -> -1^- f(x) = lim x -> -1 (-2x² - 8x + 3) = -2(-1)² - 8(-1) + 3 = 9.
To the right of -1, the function is greater than -1, hence the lateram limit is:
lim x -> -1^+ f(x) = lim x -> -1 (4x + 2p) = 4(-1) + 2p = -4 + 2p.
The lateral limits have to be equal for the function to be continuous, hence:
-4 + 2p = 9
2p = 13
p = 13/2
p = 6.5.
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In gym class, a student can do 40 sit-ups in 60 seconds and 100 sit-ups in 150 seconds.
Graph the proportional relationship.
graph with x axis labeled time seconds and y axis labeled sit ups, with a line from 0 comma 0 going through 90 comma 60
graph with x axis labeled time seconds and y axis labeled sit ups, with a line from 0 comma 0 going through 60 comma 30
graph with x axis labeled time seconds and y axis labeled sit ups, with a line from 0 comma 0 going through 60 comma 50
graph with x axis labeled time seconds and y axis labeled sit ups, with a line from 0 comma 0 going through 90 comma 30
Answers
By using the linear equation y=3x we draw the graph for proportional relationship.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
A proportional relationship graph between two variables is a relationship where the ratio between the two variables is always the same
the graph of any proportional relationship is characterized by a straight line with data points passing through the origin (0, 0).
By the definition of proportional relationship of graph, we can reduce relationship between the values on the x-coordinate and y-coordinate of the given graph
As they are proportional and represented by euation
y = 3x
Where, x represent the time and y represent the number of sit-ups.
Hence by using the linear equation y=3x we draw the graph for proportional relationship.
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your company wants to purchase swag gear for employees. they bought 5 sample merchandise at $ 450 each, 4 sample signs at $ 750 each, and 12 chromebooks with logo at $ 750 each. what is the average spent per article?
Answers
The company spent average amount $678.57 per article.
Average spent per article is calculated using the formula -
Average = sum of all observations ÷ total number of observations
In the question, observations are the different items bought by the company.
Amount spent on sample merchandise = 5 × 450
Amount spent on sample merchandise = $2250
Amount spent on sample signs = 4 × 750
Amount spent on sample signs = $3000
Amount spent on chromebooks = 12 × 750
Amount spent on chromebooks = $9000
Total amount spent = 2250 + 3000 + 9000
Total amount spent = $14,250
Number of articles = 5 + 4 + 12
Number of articles = 21
Average = 14,250 ÷ 21
Average = $678.57
Thus, the average spent per article is $678.57.
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Ten years ago, Ade's age was half the age of his brother Femi. Today, Ade is 12 years old. How old is Femi now?
Answers
Answer: Femi is 14 years old
Step-by-step explanation: ten years ago ade was 2 and ade is half the age of Femi so that means Femi was 4 at that time since 2 is half of 4 and since he is 12 ten years later Femi is 14 ten years later.
Answer each part. If necessary, round your answers to the nearest hundredth.
(a) Jim bought 11 pounds of flour for $5.
How many dollars did he pay per pound of flour?
dollars per pound
(b) At Davidson's Bike Rentals, it costs $20 to rent a bike for 4 hours.
How many dollars does it cost per hour of bike use?
dollars per hour
Answers
Answer:
i think a
Step-by-step explanation:
Answer: a.) $2.20 dollars per pound of flour. b.) $5 dollars per hour
Step-by-step explanation:
What is the
domain?
Help me plssss
Answers
A bear cub weighs 8,800 grams in
March. After three months, it weighs
68.2 kg. How much weight did the cub
gain during the three months?
Answers
Answer:33 oz in march
Step-by-step explanation:
A soap company wants to use a cylindrical container to hold their new liquid soap
A. solve the formula for h
B. what is the height of a container if the volume is 56.52 cubic inches and the radius is 1.5 inches? Round to the nearest tenth
Answers
A. The formula for h is h = V / πr².
B. The height of a container if the volume is 56.52 cubic inches and the radius is 1.5 inches is 8 inches.
How to calculate the value?The volume of a cylinder is calculated thus:
= πr²h.
where π = 3.142
r = radius
h = height
Therefore, the height will be:
V = πr²h
We have to make h the subject of the formula. This will be:
h = V / πr²
The height of a container if the volume is 56.52 cubic inches and the radius is 1.5 inches will be:
h = V / πr²
h = 56.52 / (3.142 × 1.5²)
h = 56.52 / 7.0695
h = 8
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Type the correct answer in each box. use numerals instead of words. if necessary, use / for the fraction bar(s). find the product. the coefficient of the product of (-5xy2) and (-4x2y) is . the exponent of x in the product is , and the exponent of y is .
Answers
The coefficient of the product of (-5 x y²) and (-4 x²y) exists 20 .
The exponent of x in the product exists 3, and the exponent of y exists 3.
What is meant by exponent?A number written as a superscript over another number is known as an exponent. In other words, it means that the base has been elevated to a particular level of power. Other names for the exponent are index and power. Mn denoted that m has been multiplied by itself n times if m exists a positive number and n exists its exponent.
We exists to determine the product of (-5 x y²) and (-4 x² y)
The product of (-5 xy²) and (-4 x²y) can be defined as shown below
-5xy² × -4x² y
simplifying the above equation, we get
-5 × -4 × x × x² × y² × y
⇒ 20 × x³ × y³
⇒ 20 x³ y³
The product of the given expressions is 20 x³ y³
Therefore, the coefficient of the product is 20.
The exponent of x in the product exists 3 and the exponent of y exists 3.
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Marsha says that she has a whole candy bar. Jose says that he has 100% of a candy bar.Explain who is correct.
Answers
Both are correct. One expression is literal expression ( whole candy bar). The other expression is mathematical expression ( 100% of a candy bar).
So both expressions are the same
[tex] \huge \quad \: \bf \: Question : [/tex]
Differentiate the following equations and write coefficients of terms in form of English alphabets. [ like : 12 = L ]
1st :
[tex] \rm \dfrac{d}{dx} ({x}^{2} ) = [/tex]
Required English Alphabet = ?
2nd :
[tex] \rm \dfrac{d}{dx} (3{x}^{5} ) = [/tex]
Required English Alphabet = ?
3rd :
[tex] \rm \dfrac{d}{dx} (9{x}^{2} ) = [/tex]
Required English Alphabet = ?
4th :
[tex] \rm \dfrac{d}{dx} (3{x}^{3} ) = [/tex]
Required English Alphabet = ?
5th :
[tex] \rm \dfrac{d}{dx} (2{x}^{7} ) = [/tex]
Required English Alphabet = ?
6th :
[tex] \rm \dfrac{d}{dx} ({x}^{7} ) = [/tex]
Required English Alphabet = ?
Next : Write the Alphabets in order of questions ~
Answer should be in this format :
" (1st 2nd 3rd 4th 5th 6th) "
Answers
The differentiation of the given equations is [tex]\frac{d}{dx}x^{2}=2x[/tex].
Given that, [tex]\frac{d}{dx}x^{2}[/tex].
What is the differentiation?The process of finding derivatives of a function is called differentiation in calculus. A derivative is the rate of change of a function with respect to another quantity.
Differentiate using the Power Rule which states that [tex]\frac{d}{dx}x^{n}=nx^{n-1}[/tex].
1) [tex]\frac{d}{dx}x^{2}=2x[/tex]
2) [tex]\frac{d}{dx}(3x^{5})=15x^4[/tex]
3) [tex]\frac{d}{dx}(9x^{2})=18x[/tex]
4) [tex]\frac{d}{dx}(3x^{3})=9x^{2}[/tex]
5) [tex]\frac{d}{dx}(2x^{7})=14x^6[/tex]
6) [tex]\frac{d}{dx}(x^{7})=7x^6[/tex]
Therefore, the differentiation of the given equations is [tex]\frac{d}{dx}x^{2}=2x[/tex].
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Use the graph of f(x) = √x to graph each function.
7. g(x)=√x- 4
8. g(x)=√x +3
9. g(x)=√x + 6 − 4
10. g(x)=√x - 7+3
Use the graph of f(x) = 1/x to graph each function.
11. g(x) = 1/x +4
12. g(x) = 1/x - 6
13. g(x) = 1/x-6 + 8
14. g(x) = 1/x+7 -4
Answers
the graphs are attached herewith , where the label of the graph are :
along X-axis: 1 square division = 10 units
along y-axis: 1 square division: 10 units
The problem we dealing with is related to manipulating graphs.For the question 7 to 10, the commonly given function is f(x)= √x, if the g(x) is nothing but the f(x-c) or f(x+c), so for the g(X) to be f(x-c), then a graph of that particular function turns to stretch downward whereas, for the f(x+c), it stretches upward.
So, for 7 g(x)=√x- 4 where -4 is c so the g(x) = f(x-c) so the point for the graphs will stretch downward compare to the pint of the functions f(x)= √x.
8. g(x)=√x +3
here g(x)= f(x+3), so the pints stretched upward
9. g(x)=√x + 6 − 4=√x + 2
here additional number for the points ar 2, as it positive one, so the point of the function g(x), stretches upward
10. g(x)=√x - 7+3=√x -4
here the c is -4, so the point of the g(x), stretches downward.
Same for the questions 11 to 14, the common function is f(x) = 1/x ,for which which g(x) = f(x-c) or f(x+c), for positive c , the graph stretches upward otherwise it moves downward
11. g(x) = 1/x +4
here the c is positive, the graph stretches upward for the g(x)
12. g(x) = 1/x - 6
here the c is negative, the graph stretches downward for the g(x)
13. g(x) = 1/x-6 + 8= 1/x+2
here the c is positive, the graph stretches upward for the g(x)
14. g(x) = 1/x+7 -4= 1/x+3
here the c is positive, the graph stretches upward for the g(x)
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What is the lowest common multiple of six and nine
Answers
Answer: 18
Step-by-step explanation: it is the smallest one in both tables.
1x6=6 2x6=12 3x6=18
1x9=9 2x9=18
hope this helped
Standard form 10x-7y=-3
Answers
Answer:
x= −3/10
y= 3/7
Step-by-step explanation:
Write the slope-intercept form of the equation of the line through the given point with the given
slope.
through: (4, -1), slope = -1/2
Answers
Answer: y=-1/2x+1
Step-by-step explanation: plug in numbers to find y intercept (b).
-1=-1/2(4)+b
-1=-2+b
b=1
y=-1/2x+1
Cylon Raiders attack the Battlestar
Galactica at regular time intervals called
centons, that form three consecutive odd
Integers whose sum is 75. Find the number of
centons between each Cylon attack.
Answers
The number of centons between each Cylon attack are 21, 23 and 25.
What are the number of centons?An odd number is a number that is not perfectly divisible by 2. For example, 3 is an odd number because it is not perfectly divisible by 2.
A consecutive number is a number that follows each other on the number line. Consecutive odd numbers are odd numbers that follow each other on the number lines.
Let x represent the first odd number.
The next odd number : x + 2
The third odd number : x + 4
x + (x + 2) + (x + 4) = 75
Add similar numbers: 3x + 6 = 75
3x = 75 - 6
3x = 66
x = 21
The second numbers : 21+ 2 = 23
The third number = 21 + 4 = 25
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What percentage of this shape is shaded?
Answers
36% of the shape is shaded in the given figure.
What is termed as the percentage?The term percent is derived from the Latin texts per centum, which means "by the hundred," so a percent indicates however many parts you possess out of a total of 100. Percentages can be expressed as fractions as well as decimals. Simply divide a percentage by 100 to get a fraction. Percentages are simple to calculate if you have exactly 100 items, but it is uncommon for the quantity of an item to be exactly 100.For the given question.
The shape of the boxes with some shaded part is given.
The total number of small parts in the figure is 25.
The total of shaded parts is 9.
Let 'x' be the percentage of shaded region.
Then,
x% of 25 = 9
25x/100 = 9
x = 900/25
x = 36%
Thus, the shaded percentage is found as 36%.
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Sandra is using the point-slope form y - y₁ = m(x-x₁) to graph the equation y+2=(x-3). She completed the following steps.
Step 1: Plot a point at (3, 2).
Step 2: Plot a point 5 units up and 4 units left from (3, 2), at (-1, 3).
Step 3: Connect the points with a line.
In which step did Sandra make her first mistake?
What mistake did Sandra make?
Answers
She make mistake in her first step. She plot a point at (3,2) instead of (3,−2).
Sandra is using the point-slope form [tex]y - y_{1} = m(x-x_{1})[/tex] to graph the equation [tex]y+2=(x-3)[/tex].
She completed the following steps.
1) Firstly she plot a point at (3,2)
2) Then she plot a point 5 units up and 4 units left from (3,2), at (−1,3).
3) Then she connect the points with a line.
She using the point slope for to graph the equation.
The point slope form is [tex]y - y_{1} = m(x-x_{1})[/tex].
The equation is [tex]y+2=(x-3)[/tex].
Now we compare the given equation to the point slope form.
After comparing we get
[tex]y_{1}[/tex] = -2 and [tex]x_{1}[/tex] = 3
So we have to plot a point at (3,-2) but she plot point at (3,2).
She make mistake in her first step.
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Two quarters of the basketball game are complete. Now it is half time. Explain how this could be
Answers
Using proportions, the explanation for this is that a basketball game has four quarters, hence half-time is at the end of the second quarter.
What is a proportion?A proportion is a fraction of a total amount, and equations can be built to find the desired measures in the problem using the basic arithmetic operations, especially multiplication and division with the unit rates in the problem.
The entirety of a basketball game is composed by:
4 quarters.
Hence the mid-point of the game is calculated as follows:
0.5 x 4 quarters = 2 quarters.
This means that the end of the second quarter is the mid-point of the game, which is why the halftime is positioned at the end of the second quarter.
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(Inv. 1)*30. Multiple Choice Tika's math class began 18 minutes ago. Theclass will end in 37 minutes. Which equation can be used to find thelength in minutes of Tika's math class?A 18 + m = 37Bm – 37 = 18C 37 - m = 18D 18 – m = 37
Answers
Step 1
Let the length in minutes of Tika's class be m
His class had lasted already for 18 minutes
His class had 37 more minutes to end.
Step 2
Get the equation
[tex]\begin{gathered} 18\text{ + 37 = m} \\ To\text{ suit the options} \\ 18\text{ = m-37} \\ \text{Therefore,} \\ m-37\text{ = 18} \end{gathered}[/tex]Hence the answer is option B ------ ( m - 37 = 18)
A mining company owns two mines. These mines produce an ore that can be graded into two classes: regular grade and low grade. The c
at least 380 tons of regular-grade and 610 tons of low-grade ore per week. The first mine produces 6 tons of regular-grade and 17 tons o
hour. The second mine produces 20 tons of regular-grade and 10 tons of low-grade ore per hour. The operating cost of the first mine is $
operating cost of the second mine is $28,000 per hour. The first mine can be operated no more than 40 hours a week, and the second ml
more than 27 hours a week. How many hours per week should each mine be operated to minimize the cost?
Note that the ALEKS graphing calculator can be used to make computations easier.
Answer :
first mine : 40 hour(s)
Second mine : 7 hour(s)
Answers
what is the value of n in the equation n = 0n = 2n = 4n = 6
Answers
The value for the n is undefined, 3, 3/2.
In this problem, we are dealing with equations where equations are mathematical statements containing two arithmetical expressions on both sides of the sign of 'equal to (=)'. It appears the relationship of equality between the expression composed on the left side with the expression composed on the proper side. In each condition we have, (L.H.S = R.H.S), left hand side = right-hand side. Conditions can be fathomed to discover the value of an unknown variable representing an unknown amount. If there's no 'equal to' symbol within the statement, it implies it isn't a condition. It'll be considered as an expression. Equations with 1 as the degree are considered linear equations. Equations with degree 2 are quadratic equations and the last Equations with degree 3 are known as cubic equations.
So , for 0n = 6 , it undefined as the L.H.S becomes zero
for 2n=6 => n=6/2=3
for 4n=6=> n=6/4=3/2
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Answer:
n = 2
Step-by-step explanation:
edge
Name the slope and one point that is on the line represented by the equation: X=-2
Answers
Answer:
Step-by-step explanation:
please help me on thisss
Answers
Answer: The first one
Step-by-step explanation:
without graphing f(x) = 3x - 1.3, determine if the graph goes through each point (1/3, -0.3). Answer quick i will give brainliest
Answers
Answer:
Yes, it does.
Step-by-step explanation:
The most appropriate choice for function and graph of a function will be given by-
The graph passes through [tex](\frac{1}{3}, -0.3)[/tex]
What is function and graph of a function?
A function from A to B is a rule that maps to each elements of A, a unique element of B.
A is the domain of the function and B is the co-domain of the function.
A collection of all points of the form [tex](x, f(x))[/tex] is called graph of the function.
Here,
[tex]f(x) = 3x - 1.3[/tex]
Putting [tex]x = \frac{1}{3}[/tex]
[tex]f(\frac{1}{3}) = 3 \times \frac{1}{3} -1.3\\[/tex]
[tex]= 1-1.3\\[/tex]
[tex]= -0.3[/tex]
So, the graph passes through [tex](\frac{1}{3}, -0.3)[/tex]
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Answer the 3 question in the photo for EASY points ( 20 points )
Answers
2. Lev
3. Seattle
What is the explination to the answer if I factor out the coefficient of 3/8d+3/4?
Answers
The fraction of coefficient factor out is 3/8.
What is Fraction?
A fraction is a portion of a whole or, more broadly, any number of equal parts. In everyday English, a fraction represents the number of pieces of a specific size, such as one-half, eight-fifths, or three-quarters. Numerators and denominators are also employed in uncommon fractions such as compound fractions, complex fractions, and mixed numerals. The numerator and denominator of positive common fractions are natural numbers.
The given expression is , 3/8d+3/4
From this, we have to eliminate the fraction for that we have to make common denominators like that,3/8 d + (3 * 2) / (4 * 2)=> 3/8 d + 6/8
Next, take out the common value i.e, 3/8=> 3/8 ( d + 2)
Therefore, the coefficient factor out is 3/8.
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A string measures 30 cm about how many lnches long is the string
Answers
Use the scatter plot to answer the question. The points in the scatter plot rapidly decrease from x=negative 10 to x=0, then the remaining points cluster around the line y=negative 6.© 2018 StrongMind. Created using GeoGebra. Which type of function best models the data in the scatter plot?A. exponentialB. quadraticC. linearD. square root
Answers
It looks exponential
A