The correct option is option B that is "The graph of f(x) is shifted 17 units up". It is shifted 17 units up. By adding 17 to the equation, y increases by 17. If y increases by 17, the graph shifts up by 17.
What is graph?In discrete mathematics, a graph is made up of vertices—a collection of points—and edges—the lines connecting those vertices. In addition to connected and disconnected graphs, weighted graphs, bipartite graphs, directed and undirected graphs, and simple graphs, there are many other types of graphs.
What is transformation in graph?The process of altering an existing graph or graphed equation to create a different version of the following graph is known as graph transformation. In particular, the modification of algebraic equations, it is a typical kind of algebraic problem.
It is shifted 17 units up.
By adding 17 to the equation, y increases by 17.
If y increases by 17, the graph shifts up by 17.
Option B, "The graph of f(x) is shifted 17 units up," is the answer. It is moved upward 17 units. Adding 17 to the formula causes y to rise by 17. The graph moves up 17 units if y rises by 17.
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find the value of x in each case
Answer:
x=23
Step-by-step explanation:
The amount of degrees in a triangle is 180 degrees.
line AC and line DF are straight angles meaning that the opposite angles are equal to each other. That means that angle FBC is also equal to x. Because line AC and EF are parallel we know that FBC and BFE are equal. Therefore, BFE is equal to x. The sum of the values of each angle of the triangle should add up to 180. 5x+65=180
5x=115
x=23
A 21-foot beam is to be cut into three pieces so that the second and third piece are each 3 times the length of the first piece. If X represents represents the length of the first piece find the length of each piece.
The length of the first piece is 3 inches, and the second and third pieces are each 9 inches
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.
Given that a 21-foot beam is to be cut into three pieces so that the second and third pieces are each 3 times the length of the first piece.
We have to determine the length of each piece.
Let x represents the length of the first piece
As per the given condition,
x + 3x + 3x = 21
7x = 21
x = 21 / 7
x = 3
Thus, the first piece is 3 inch
So 2nd piece is 3×3 = 9 inches ( 3 times to first piece )
And 3rd piece is 3×3 = 9 inches ( 3 times to first piece )
Therefore, the length of the first piece is 3 inches, and the second and third pieces are each 9 inches
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a builder appoints three construction workers akash, sunil and rakesh on one of his sites. they take 20, 30 and 60 days respectively to do a piece of work. how many days will it take akash to complete the entire work if he is assisted by sunil and rakesh every third day?
It will take 15 days for Akash to complete the entire work if he is assisted by Sunil and Rakesh every third day.
To determine the number of days, we first represent the number of days to do a piece of work by each one of them in fractions as follows;
Fraction of work completed by Akash in 1 day = 1/20
Fraction of work completed by Sunil in 1 day = 1/30
Fraction of work completed by Rakesh in 1 day = 1/60
The total work done in 1 day can be given as;
Total work done by the three in one day = [(1/20) + (1/30) + (1/60)] = 1/10
Work done by Akash in two days = 2 × (1/20) = 2/20 = 1/10
The work done in three days (1 day of all three together + Work done by Akash in two days) = (1/10) + (1/10) = 1/5
Therefore; the total work done in 3 days = 1/5
At this rate, the total number of cycles required to finish the work =
(1) ÷ (1/5) = 5
Since each cycle has three days, the total number of days required to finish the work can be calculated as follows;
5 × 3 = 15 days
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Solve the equation 5x = 85 for x.
−17
17
−90
80
x = 17
Step-by-step explanation:
5x = 85
x = 85/5
x = 17.
Hence, option (b) is correct answer
Answer: x=17 the answer is B
Hope this helped
Step-by-step explanation:
Given f(x)=2x-5, describe how the graph of g compares with the graph of f.
g(x)=2(0.2x)-5
The graph of g and f have equal intercepts while the slope of the graph of f is 5 times larger than the slope of the graph of g
How to compare the graph of g with the graph of fGiven: f(x) = 2x-5 and g(x)=2(0.2x)-5
To compare the two graphs, we can make use of the equation of a line:
The general form of the equation of a line is y = mx + c
Where m is the slope and c is the intercept
So we will compare two the functions with the equation of a line:
Comparing f(x) = (2x-5) with y = mx + c
The slope(m) of the line = 2 and the intercept(c) = -5
Also, comparing g(x) = 2(0.2x)-5 with y = mx + c
The slope(m) of the line = 2(0.2) = 0.4 and the intercept(c) = -5
Since the slope of f(x) = 2 and the slope of g(x) = 0.4. Thus:
slope of f(x) / slope of g(x) = 2/0.4 = 5
So we can say the slope of f(x) is 5 times the slope of g(x)
Therefore, the graph of g and f have the same intercept. But the slope of f(x) is 5 times the slope of g(x)
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Given v = 60sinθ, what is the instantaneous voltage when θ = 30⁰?Question 11 options:6034.643051.96
30
Explanations:
Given the expression for the instantaneous voltage expressed as:
[tex]v=60\sin \theta[/tex]Given the following parameter:
θ = 30⁰
Substitute the given parameter into the formula to have:
[tex]\begin{gathered} v=60\sin 30^0 \\ v=60(0.5) \\ v=30 \end{gathered}[/tex]Therefore the instantaneous voltage when θ = 30⁰ is 30.
Which equations are true for x = –2 and x = 2? Select two options x2 – 4 = 0 x2 = –4 3x2 + 12 = 0 4x2 = 16 2(x – 2)2 = 0
The two equations that are true when x = -2 and x = 2 are x^2 - 4 = 0 and 4x^2 = 16.
We have given x = 2 and x = -2
Substitute the values in the given equations
Equation 1
x^2 - 4 = 0
Substitute x = 2 in LHS, we get
2^2-4 = 4 - 4 = 0 = RHS
Substitute x = -2 in LHS, we get
(-2)^2-4 = 4 - 4 = 0 = RHS
Equation 2
x^2 = -4
Substitute x = 2 in LHS, we get
2^2 = 4 ≠ RHS
Substitute x = -2 in LHS, we get
(-2)^2 = 4 ≠ RHS
Equation 3
3x^2 + 12 = 0
Substitute x = 2 in LHS, we get
3(2)^2 + 12 = 12 + 12 = 24 ≠ RHS
Substitute x = -2 in LHS, we get
3(-2)^2 + 12 = 12 + 12 = 24 ≠ RHS
Equation 4
4x^2 = 16
Substitute x = 2 in LHS, we get
4(2)^2 = 4(4) = 16 = RHS
Substitute x = -2 in LHS, we get
4(-2)^2 = 4(4) = 16 = RHS
Equation 5
2(x-2)2 = 0
Substitute x = 2 in LHS, we get
2(2-2)2 = 2(0)(2) = 0 = RHS
Substitute x = -2 in LHS, we get
2(-2-2)2 = 2(-4)(2) = 16
Hence, we find that Equation 1 and Equation 2 are true for x = 2 and x = -2
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A model car is a 1/40 if the length of the real car is 5.5 m what is the length of the model car
Answer:
0.14 meters, or 140 mm
Step-by-step explanation:
(1/40) means that the model car will have dimensions that are (1/40) the original car.
Real car = 5.5 meters.
Model car = (1/40)*(5.5 m) = 0.14 meters, or 140 mm
5x^2-25=100 solve by taking square root
Answer:
x=5,−5
Step-by-step explanation:
Fun times Amusement Park Charges a $7 admission fee plus $1.75 per ride. What is the equation, in intercept form for calculating the total cost, C, of going to the park and riding r rides?1. C = 1.75 + 7r2. C = 1.75r3. C = 7r4. C = 7 + 1.75r
The general form of an equation in intercetp form is:
[tex]y=mx+b[/tex]Where m is the change of y in function of x and b is the value of b when x is 0
In this situation you have:
y=C
x=r
m= 1.75 ( C increase 1.75 each r)
b= 7 (When there is not ride r=0 the admission fee is 7)
Then, you have the equation:[tex]C=1.75r+7[/tex]or C = 7 + 1.75rOrlando is getting balloons for his grandmother's birthday party. he wants each balloon string to be 6 feet long. at the party store, string is sold by the yard. if orlando wants to get 72 balloons, how many yards of string will he need?
144 yards of string will need to use balloons for the party.
Given,
The length of balloon string Orlando wanted = 6 feet
Number of balloons = 72
We have to find the total length of strings wanted for 72 balloons in yards.
1 yard = 3 feet
Now,
Total length of strings Orlando needs = length of one string x number of balloons = 6 x 72 = 432 feet
Now convert 432 feet into yard
That is,
432 / 3 = 144 yards
So,
144 yards of string will need to use balloons for the party.
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Marques works in a department store selling clothing. He makes a guaranteed salary of $200 per week, but is paid a commision on top of his base salary equal to 10% of his total sales for the week. How much would Marques make in a week in which he made $750 in sales? How much would Marques make in a week if he made x dollars in sales?
The most appropriate choice for percentage will be given by -
Total salary of Marques in a week = $825
If Marques makes $x in sales, his total salary in a week = $([tex]750 + \frac{x}{10}[/tex])
What is Percentage?
Suppose there is a number and that number has to be expressed as a fraction of 100. The fraction is called percentage. For example 2% means [tex]\frac{2}{100}[/tex]
Here,
Guarantee salary of Marques = $200
Sales made by Marques in a week= $750
Percentage commission on total sales = 10 %
Commission received by Marques = [tex]\frac{10}{100} \times 750\\[/tex]
= $75
Total salary of Marques in a week = $(750 + 75)
= $825
If Marques makes $x in sales, his total salary in a week = $([tex]750 + \frac{10}{100}\times x[/tex])
= $([tex]750[/tex] + [tex]\frac{x}{10}[/tex])
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Using the information found in these tables which of the following statements is true
Please helpppp
Which of the following rational functions is graphed below?
For a particular rectangle, twice the width is 4 meters shorter than the length. The area of the rectangle is 126 square meters. What is the perimeter of the rectangle? ? meters
Let l be the length of the rectangle and w its width.
Then its area is given by:
a = l*w
Its perimeter is given by:
p = 2l + 2w
We also know that, for this specific triangle, we have:
2w = l - 4
l = 2w + 4
a = 126 m²
Applying this result in the area formula, we have:
w*l = 126
w(2w + 4) = 126
2w² +4w = 126
2w + 4w - 126 = 0
Therefore, w = 7 m and l = 2*7 + 4 = 10 m
Then, the perimeter is given by:
p = 2*18 + 2*7 = 36 + 14 = 50 m
Find the sum of the following infinite series.1/3−2/21+4/147−8/1029+···
Given:
The series is 1/3−2/21+4/147−8/1029+··
Explanation:
For the given series, the first term is,
[tex]a=\frac{1}{3}[/tex]The common ratio is,
[tex]\begin{gathered} r=\frac{-\frac{2}{21}}{\frac{1}{3}} \\ =-\frac{2}{21}\cdot\frac{3}{1} \\ =-\frac{2}{7} \end{gathered}[/tex]The formula for the sum of infinite series is,
[tex]S_{\infty}=\frac{a}{1-r}[/tex]Substitute the values in the formula to determine the sum of infinite series.
[tex]\begin{gathered} S_{\infty}=\frac{\frac{1}{3}}{1-(-\frac{2}{7})} \\ =\frac{\frac{1}{3}}{\frac{9}{7}} \\ =\frac{1}{3}\times\frac{7}{9} \\ =\frac{7}{27} \end{gathered}[/tex]Answer: 7/27
Find the slope of the line.
slope =
11
rise
run
5
11
40
30
20
10
O
2
4
6
8
G
G
to get the slope of any straight line, we simply need two points off of it, let's use the ones from the picture below.
[tex](\stackrel{x_1}{0}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{20}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{20}-\stackrel{y1}{0}}}{\underset{run} {\underset{x_2}{5}-\underset{x_1}{0}}} \implies \cfrac{ 20 }{ 5 } \implies \text{\LARGE 4}[/tex]
x/5 > 8 solve the inequality for x and simplify your answer as much as possible
Answer:
x = 40
Step-by-step explanation:
x = 8 x 5
x = 40
that's it
The gumball machine contains 9 red,7 white and 8 blue gumballs. find the least number of gumball a person must buy to be sure that she gets 4 gumballs that are the same color.
The person must buy 10 gumballs so that she gets 4 gumballs that are the same color.
Given, gumball machine contains 9 red gumballs
7 white gumballs and
8 blue gumballs.
we are asked to determine the least number of gumball a person must buy to be sure that she gets 4 gumballs that are the same color.
If a person gets three gumballs of each of the three colors, that is, 9 gumballs, then the 10th gumball must be the fourth one for one of the colors. Therefore, the person must buy 10 gumballs.
Hence 10 gumballs should be purchased.
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Divide. Enter the correct answer.
17+2=
HELP! WILL GIVE BRAINLIEST
Answer:
second answer
Step-by-step explanation:
Mason went to the grocery store and bought bottles of soda and bottles of juice. Each bottle of soda has 45 grams of sugar and each bottle of juice has 15 grams of sugar. Mason purchased a total of 11 bottles of juice and soda which collectively contain 285 grams of sugar. Write a system of equations that could be used to determine the number of bottles of soda purchased and the number of bottles of juice purchased. Define the variables that you use to write the system
The number of soda bottles = 4
The number of sugar bottles = 7
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Weight of each bottle of soda = 45 grams
Weight of each bottle of sugar = 15 grams
Total weight of sugar and soda = 285 grams
Let the number of soda bottle = x
And, The number of sugar bottle = y
Since, Total number of bottles = 11
So, We can formulate;
⇒ x + y = 11 .... (i)
And, Weight of each bottle of soda = 45 grams
Weight of each bottle of sugar = 15 grams
Total weight of sugar and soda = 285 grams
So, We can formulate;
⇒ 45x + 15y = 285 ... (ii)
Multiply by 15 in equation (i) and subtract from (ii), we get;
⇒ 45x + 15y - 15x - 15y = 285 - 165
⇒ 30x = 120
Divide by 30;
⇒ x = 4
Hence, x + y = 11
4 + y = 11
y = 11 - 4
y = 7
So, The number of soda bottles = 4
The number of sugar bottles = 7.
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What’s the answer plss I really need help
Answer:
The answer is d) 22.4
Step-by-step explanation:
I attached a file below if you want to see the process!
Write a linear equation to represent the given problem and then solve the problem.
The perimeter of a rectangle is 150 cm. The length is 15 cm greater than the width. Find the dimensions.
Perimeter = 2 x Length + 2 x Width
w=L+15
p=(L+w)
150cm=L+L+15
150cm=2L+15
2L=150cm-15
2L=135cm
2L÷2=135cm÷2
L=67.5
w=67.5+15
w=82.5
At the gift shop, they sell small greeting cards and large greeting cards. The cost of a small greeting card is $1.25 and the cost of a large greeting card is $4.50. How much would it cost to get 5 small greeting cards and 4 large greeting cards? How much would it cost to get xx small greeting cards and yy large greeting cards?
The Total cost of x small and y large greeting cards is; 1.25x + 4.50y.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given that the Cost of the small greeting card = is $1.25 .
The Cost of the large greeting card =$4.50.
We need to determine the Total cost of 5 small and 4 large greeting cards and the total cost of x small and y large greeting cards.
The Cost of 5 small greeting cards = 6.25
The Cost of 4 large greeting cards = 18
Then the Total cost = $6.25+ $18 =$24.25
Therefore, the Total cost of 5 small and 4 large greeting cards is; $24.25.
Now, the total cost of x small and y large greeting cards will be;
Cost of x small greeting cards = 1.25x
Cost of y large greeting cards = 4.50y
Total cost = 1.25x + 4.50y
Therefore, the Total cost of x small and y large greeting cards is; 1.25x + 4.50y.
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Write the slope-intercept form of the equation of the line through the given points13) through: (5, 3) and (5, 4)14) through: (0, 4) and (2, 3)15) trough: (-1, 4) and (-4,-5)16) through: (-1, -2) and (-3,0)
The slope-intercept form of the linear equation is
y = m x + b, where
m is the slope
b is the y-intercept
If the x-coordinates of the two points are equal, that means the line is vertical
A vertical line has no slope
Its equation is x = a, where a is the x-coordinate of any point on the line
13) The two points are (5, 3) and (5, 4)
They have the same x-coordinates, then its equation is
x = 5
The rule of the slope is
[tex]m=\frac{y2-y1}{x2-x1}[/tex](x1, y1) and (x2, y2) are two points on the line
The line passes through points (0, 4) and (2, 3)
x1 = 0 and y1 = 4
x2 = 2 and y2 = 3
Substitute them in the rule above to find m
[tex]m=\frac{3-4}{2-0}=-\frac{1}{2}[/tex]The equation is
[tex]y=-\frac{1}{2}x+b[/tex]b is the value of y at x = 0
at x = 0 y = 4
b = 4
The equation of the line is
[tex]y=-\frac{1}{2}x+4[/tex]Which graph represents data used in a linear regression that produces a correlation coefficient closest to -1?
What does the letter "L" stand for in the simulation?
Answer: d
Step-by-step explanation: ion know man but i looked it up and got it right
Jacob set aside (budgeted) $10 to spend on snacks at the movies. Sodas cost $1.50 each, and a box of popcorn costs $1.75. How many sodas can he buy for him and his friends if he buys 2 boxes of popcorn? Write an Inequality.
Answer:4 sodas
Step-by-step explanation:
1.75 x 2 = 3.5
10- 3.5 = 6.5
6.5 Divided by 1.50 = 4.33333333
(Round that to 4 and he will be left with cents)
what is the distance between the two points in simplest radical form
(−2,−7) and (5,0)
The distance between the two points in simplest radical form(−2,−7) and (5,0) is 9.8995
What is the distance?Distance can be described as the differences that exist between two points and this can be expressed i different form such as the radical form.
We can calculate the distance between the two points by firstly expressed them as :
(−2) - (5) = -7
(-7) - 0 = -7
Then the distance between them can be found as :
Distance = (-7)^2 + (-7)^2 = 49 +49 = 98
Then we will find the square root of the the figure as
= [tex]\sqrt{98}[/tex] = 9.8995
The formula can as well be used to find this by substituting the values of x and y into the formula as :
x1=-2
y1=-7
x2=5
y2=0
[tex]d = \sqrt{ ( x_{2} - x_{1} )^{2} + ( y_{2} - y_{1} )^{2}}[/tex]
then [tex]d = \sqrt{ ( 5 - (-2 )^{2} + ( 0 - (-7) )^{2}}[/tex]
= [tex]\sqrt{ 49^{2} + 49^{2} }[/tex]
= [tex]\sqrt{98}[/tex]
=9.8995
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in the presence of changing variability, the estimated standard errors of the ols estimators are inappropriate. what does this imply about using standard testing?
The error term, which refers to the sum of the deviations within the regression line and explains the discrepancy between the theoretical value of the model and the actual observed results, denotes the margin of error inside a statistical model.
What does OLS regression's error term mean?The error term, often referred to as the residual, disturbance, or remaining term, is denoted by the letters e,, or u in various ways in models.Use of an Error Term in a Formula : An error term basically denotes that the model is not entirely precise and yields varying outcomes when used in practical applications. Assume, for instance, that a multiple linear regression function has the following shape:Y=αX+βρ+ϵ
where:
α,β=Constant parameters
X,ρ=Independent variables
ϵ=Error term
During an empirical test, if the actual Y is different from the expected or projected Y in the model, the error term does not equal 0, indicating that other factors affect Y.The OLS estimators will continue to be linear, impartial, and consistent in the presence of autocorrelation. However, because to the absence of a minimal variance, the estimators will no longer be BLUE. It implies that the predictions made using the OLS estimators will be ineffective if the error terms are autocorrelated.To Learn more About error term refer to:
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