Draw the graph of y=3 -1/2x
Answers
The graph of the function y=3 -1/2x is attached below.
Function:
Function refers the relationship between inputs where each input is related to exactly one output.
Given,
Here we have the function y=3 -1/2x.
Now, we have to plot the graph of the function.
In order to plot the graph of the function, we have to take some sample values for x.
So, we will take the values of the x as -2, -1, 0, 1, 2.
Now, we have to apply the values on the given function then we get,
=> x = -2 => y = 3 - 1/2(-2) => y = 3 + 1 => y = 4
=> x = -1 => y = 3 - 1/2(-1) => y = 3 + 1/2 => y = 7/2 = 3.5
=> x = 0 => y = 3 - 1/2(0) => y = 3 - 0 => y = 3
=> x = 1 => y = 3 - 1/2(1) => y = 3 - 1/2 => y = 5/2 = 2.5
=> x = 2 => y = 3 - 1/2(2) => y = 3 - 1 => y = 2
When we enter these values into the table, then we get the table like the following.
By using the table we have to plot the graph and then we get the graph like the following.
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Related Questions
Jason is training to run in a marathon. His goal for this week is to run a minimum of 45 miles. So far this week, he has already run 10 miles. Which inequality could be used to determine the mean number of miles, m, he would need to run each day for 5 more days to achieve his goal?
Answers
The inequality that could be used to determine the mean number of miles Jason would need to run each day for 5 more days to achieve his goal is 10 + 5m ≥ 45
What is an inequality?Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.
Let the number of miles be given as m.
Since his goal for this week is to run a minimum of 45 miles. So far this week, he has already run 10 miles. This will be:
10 + 5m ≥ 45
This expresses the inequality.
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help meeeeeeeee pleaseeeee rn rnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeee pleaseeeee rn rnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeee pleaseeeee rn rnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
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Answers
A rectangle that maximize the enclosed area has a length 800 yards and width is 800 yards. The maximum area is 640,000 square yards.
In the given question we have to find the maximum area of the rectangular area.
Liana has 3200 yards of fencing to enclose a rectangle.
So we know that the perimeter of rectangle is
P= 2(l+b)
Let length of the rectangle is x yards and width is y yards.
So the equation should be
2(x+y) = 3200
Divide by 2 on both side we get
x+y = 1600................(1)
As we know the area of rectangle is
A = xy
From the equation the value of y is 1600-x.
Now putting the value of y
A = x(1600-x)
A = 1600x-x^2
On differentiating
dA/dx = 1600-2x
Putting dA/dx=0
1600-2x=0
Subtract 1600 on both side we get
-2x= -1600
Divide by -2 on both side we get
x = 800 yards
Now putting the value of x in the y=1600-x
y=1600-800
y=800 yards
So the maximum area is
A= 800*800
A= 640,000 square yards
Hence, a rectangle that maximize the enclosed area has a length 800 yards and width is 800 yards. The maximum area is 640,000 square yards.
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PLEASE HELP QUICK (no links pls)
Answers
The total length of the sari Divya make is 6 yards, so option A is correct.
What is rectangle?Four sides, four corners, and four right angles (90°) make up the enclosed 2-D shape known as a rectangle. A rectangle has opposite sides that are parallel and equal. A rectangle has length and width because it is a two-dimensional form. The length of a rectangle is its longer side; its breadth is its shorter side.
Given:
The length of saris Divya can make = 6 yards,
As the graph is showing, to make a sari Divya required 6 yards of fabric,
Therefore, the total length of the sari Divya make is 6 yards.
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Find quotient of 1/3 divided by 5/6
Answers
Answer:
2/5
Step-by-step explanation:
flip 5/6 to become 6/5 then cross reduce then cross multiply
the graph of y=f(x) is shown below. find the value of f(5)
Answers
Answer:
f(5) = -5
Step-by-step explanation:
To find the value of f(5), find the value of y when x = 5.
To find the value of y from a given value of x, find the position of x on the x-axis, then trace vertically until you meet the line.
Once you meet the line, trace horizontally to the y-axis to find the corresponding value of y.
Therefore, the value of f(5) is -5.
See attachment.
Answer:
f(5) = - 5
Step-by-step explanation:
Given the graph of the function f(x).
In order to find the value of f for any value of x on the graph, find the point x on the x-axis, then add a vertical line from this point to the graph. The y-coordinate of the intersection is the value of the function at given x-coordinate.
We are asked to find the value of f(5).
This is f(5) = - 5 as per above explanation.
See the attached for better understanding.
Need help quick look at photo
Answers
Answer: the slope is unidentified
Step-by-step explanation:
answer the question please i would appreciate it man
Answers
The scientific notation representation is 2.6 x [tex]10^{-2}[/tex].
What is scientific Notation?Scientific notation is a way to present extremely large or extremely small numbers in a more understandable way. We are aware that full numbers can go on forever, but we are unable to write such enormous figures on paper. Additionally, a simpler method of representation was required for the numbers that appear at the millions place after the decimal. This makes it challenging to represent a small number of integers in their enlarged form. We therefore employ scientific notations.
Given:
(0. 00032) (5.2 x [tex]10^6[/tex])/ 6.4 x [tex]10^5[/tex]
Now, solving the above expression
= 0.001664 x 10² / 6.4
= 0.00026 x 10²
= 2.6 x [tex]10^{-2}[/tex]
Hence, the scientific notation representation is 2.6 x [tex]10^{-2}[/tex].
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Fig. 3.3 shows an equilateral triangle with the lengths of its sides given in terms of x and y. Find the values of x and y. A 4x cm B 3y cm C (x + y + 5) cm
Answers
The values of x and y are 3 and 4.
Given:
shows an equilateral triangle with the lengths of its sides given in terms of x and y.
A 4x cm B 3y cm C (x + y + 5) cm
In equilateral triangle all sides are equal:
4x = 3y = x+y+5
4x = 3y
4x - 3y = 0. ---------eq(1)
4x = x + y + 5
3x - y = 5. ----------eq(2)
solving eq 1 - eq 2*3 we get,
4x - 3y - 9x + 3y = 0 - 15
-5x = -15
x = 3
4x - 3y = 0
4*3 - 3y = 0
12 = 3y
y = 12/3
y = 4
Therefore The values of x and y are 3 and 4.
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I NEED HELP ASAP PLS I NEED TO FINISH MY OTHER ASSIGMENTS TYSM
Answers
The value of x by setting up equation is 16.
Given in question,
∠VZW = (2x + 32)°
∠RZY = (3x + 16)°
∠VZW = ∠RZY
2x + 32 = 3x + 16
2x - 3x = 16 - 32
-x = -16
x = 16
Hence, x = 16.
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Here is an equation: 5x - 5 = 5x + ___. What could you write in the blank so the equation would be true for:
1. No values of x.
2. All values of x.
3. One value of x.
Answers
Answer:
1 ; -5 ; 2x
Step-by-step explanation:
1. We must have 0x equal to a number that is not 0
example = 1
5x - 5x = 5 + 1
0 = 6 (false)
2 we must have 0 = 0
-5
5x - 5x = 5 - 5
0 = 0
3 the x must stay
example = 2x
5x - 5 = 5x + 2x
2x = -5
2/2 x = -5/2
x = -5/2
PLEASE HELP ASAP
What are the steps to writing the equation of a line, parallel
given line through a given point? Parallel lines have the _____ slope. Perpendicular lines have ____.
Answers
Answer:
parallel- same slope so the slope is 5, the slope will also be 5
perpendicular- reciprocal slope (if a whole # like 5, it goes to -1/5)
Step-by-step explanation:
I need some help with this question about graphed functions
Answers
The equation of the function graphed for 0 ≤ x ≤ 360 is
y = -1 + cos 2xWhat is transformation?Transformation is a term used in mathematics to refer to the movements made by objects.
Transformation that took place in the graph is of two types namely
translationvertical stretchThe translation involves moving the graph downward by 1 unit. This movement shifts the graph from running across the x axis to making x axis the crest
The vertical stretch is by a factor of 2. A complete cycle would have been rom 0 to 180. however two cycles are now covered within this period.
The graph is of showing cos x (blue) and y = -1 + cos 2x (red) is attached
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Help! What is the domain of the graph shown below?
A. All real numbers greater than 0.
B. All real numbers greater than -2
C. All real numbers between -5 and 4
D. All real numbers
Answers
Answer:
D
Step-by-step explanation:
there are no restrictions on the domain and
- ∞ < x < ∞
That is the domain is all real numbers
Select all the equations that are equivalent to this equation. 14 (8x + 56) = 20 56 + 8x = 80 14 = 20 – 8x 2x + 14 = 5 2x = 6 x = 3
Answers
The equation that are equivalent to the equation 1/4 (8x + 56) = 20 are 56 + 8x = 80 and 2x = 6
The equation is
1/4 (8x + 56) = 20
Solve the equation
8x + 56 = 80
8x = 80 - 56
8x = 24
x = 24/8
x = 3
The first equation is
56 + 8x = 80
8x = 80 - 56
8x = 24
x = 24/8
x = 3
The second equation is
14 = 20 - 8x
8x = 20 - 14
8x = 6
x = 6/8
x = 3/4
The third equation is
2x + 14 = 5
2x = 5 - 14
2x = -9
x = -9/2
The fourth equation is
2x = 6
x = 6/2
x = 3
Hence, the equation that are equivalent to the equation 1/4 (8x + 56) = 20 are 56 + 8x = 80 and 2x = 6
The complete question is:
Which equations are equal to this equation? Select all that apply.
1/4 (8x + 56) = 20
a. 56 + 8x = 80
b. 14 = 20 - 8x
c. 2x + 14 = 5
d. 2x = 6
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A sample of a radioactive isotope had an initial mass of 110 mg in the year 1990 and decays exponentially over time. A measurement in the year 1993 found that the sample's mass had decayed to 90 mg. What would be the expected mass of the sample in the year 2002, to the nearest whole number?
Answers
50 mg be the expected mass of the sample in the year 2002, to the nearest whole number
In 1990, a sample of a radioactive isotope had an initial mass of 110 mg and decayed exponentially over time.
A measurement in 1993 revealed that the sample's mass had decayed to 90
110 mg - 90 mg = 20 mg (amount decayed in the 3 total years)
20 mg ÷ 3 years = 6.6 mg decayed per year
6.6 × 9 years (years between 1993 and 2002) = 60 mg
110 mg - 60 mg = 50 mg, rounded to 50 mg
50 mg be the expected mass of the sample in the year 2002, to the nearest whole number
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Graph the linear function.
f(x) = 3x + 4
Answers
The graph of the linear function f(x) = 3x + 4 is plotted.
Define the term linear function?To find a linear function, we utilise the slope-intercept form or even the point-slope form.If the function's details are presented in its algebraic form, then f(x) = mx + b designates a linear function. Instead, to check if the data presented in table style reflects a linear function:Get the x-value variations.Get the y-value differences.Determine that there is a steady correspondence between the difference in y values and the difference in x values.For the given question, the function is given as;
f(x) = 3x + 4
Put x = 0, f(x ) = 4 ;(0, 4)
Put f(x) = 0, x = -1.33 ;(-1.33, 0)
Plot the points of the coordinate axis as shown in the graph.
Thus, the graph of the linear function f(x) = 3x + 4 is plotted.
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the mpg (miles per gallon) of a certain compact car is normally distributed with a mean of 31 and a standard deviation of 1.2. what is the probability that the mpg for a randomly selected compact car would be more than 30?
Answers
The probability that a compact car's randomly chosen mpg would be higher than 30 is 0.797.
Given data;
A certain compact car's mpg (miles per gallon) has a mean of 31 and a standard deviation of 1.2 and is regularly distributed.
We need to get the probability that the mpg for a randomly selected compact car would be more than 30.
Therefore;
Mean = μ = 31
Standard deviation = σ = 1.2
Let;
P(X > 30) = P(X - 31/1.2 > 30 - 31/1.2)
= P(Z > -0.833)
= 0.797
Hence, the probability that the mpg for a randomly selected compact car would be more than 30 is 0.797.
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There is a line that includes the point (-1, 1) and has a slope of 9. What is its equation in slope-intercept form?
Answers
Answer: would be y=9x+10
Step-by-step explanation: Use the point slope form
The quotient of x and 2 is less than or equal to 5.
Answers
\Step-by-step explanation:
convert to math form:
[tex]\frac{x}{2} \le5[/tex]
simplify:
[tex]x \le 10[/tex]
convert to word form(optional):
x is less than or equal to 5.
Find the two solutions to the equation
(x − 10) (x + 7) = 0
Answers
Answer:
x = - 7 , x = 10
Step-by-step explanation:
(x - 10)(x + 7) = 0
equate each factor to zero and solve for x
x - 10 = 0 ⇒ x = 10
x + 7 = 0 ⇒ x = - 7
Solve this system of linear equations without graphing: {5x+4y=810x−4y=46[tex]Solve this system of linear equations without graphing: {5x+4y=810x−4y=46[/tex]
Answers
The solution of given system of linear equations is x = 3.6 and y = 2.5.
A "system" of equations is a collection of equations that you answer all at once. Ax + By + C = 0, where A and B are the coefficients and C is the constant, can be used to describe a linear equation. Non-linear equations are more difficult to comprehend than linear equations.
Solving the equations,
5x +4y = 8
10x − 4y = 46
Adding the above equations, we get
5x + 10x + 4y - 4y = 8 + 46
15x=54
Dividing by 15,
x = 3.6
Now, putting the value of x in second equation,
10(3.6) - 4y = 46
36 - 4y = 46
4y = -10
Dividing by 4, we get
y = -2.5
Therefore, the solution of given system of linear equations is x = 3.6 and y = 2.5.
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14. the mean price of a pound of ground beef in 75 cities in the midwest is $2.11 and the standard deviation is $0.56. suppose the histogram of the data shows that the distribution is unimodal and symmetrical. a local grocer is selling a pound of ground beef for $3.50. what is this price in standard units? assuming the empirical rule applies, would this price be unusual or not? round to the nearest hundredth.
Answers
For a unimodal distribution which is symmetrical with a mean price of $2.11 and standard deviation of $0.56, a local grocer’s price of $3.50 in standard units would be 2.282 and it is unusually expensive.
A unimodal distribution refers to a distribution with one clear peak as the values increase to a single highest point after which they. It can be symmetrical or non-symmetrical. A symmetrical distribution refers to a distribution whose mean, mode, and median are all equal.
The standard score (z) is given by:
z = (x - µ)/σ where µ is the mean and σ is the standard deviation.
To determine the value of z for $3.50 price:
z = (3.5 – 2.11)/0.56 = 2.482
From the z-table, the probability of z ≥ 2.282
P (z ≥ 2.282) = 1 – P (z < 2.282) = 1 – 0.98876 = 0.0112 or 1.12%
Hence, the price of $ 3.50 is unusually high.
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For every 1/3 cups of flour, there are
7/8 cups of pumkin. How much flour (in
cups) should I use for 1 cup of
pumpkin?
Answers
Answer: 0.4176 cups of flour
Step-by-step explanation: First you'll need to convert both amounts to the same denominator, using their LCM, which is 24. 1/3 x 8 = 8/24, 7/8 x 3 = 21/24. Then calculate what you need to multiply 21/24 with to get 24/24, 21/24 = 0.875 1.000- 0.875 = 0.125. Finally, multiply 1/3 by 0.125 which is 0.416... / 0.4167, so you'll need 0.4167 cups of flour, or 4,167/10,000 of a cup os flour.
For which equation will f(-2) = -6?
f(x) = x³ + x
f(x)=x² - 5x
f(x) = 4x³ + 6x² − x
f(x) = -3x³-4x² + 4x
Answers
The correct equation is f(x) = 4x³ + 6x² − x . A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.
What is Function ?A function, according to a technical definition, is a relationship between a set of inputs and a set of potential outputs, where each input is connected to precisely one output.
The value of the function is f(x). The slope of the line is m. b is either the function's value at x=0 or the position at which the line in the coordinate plane crosses the y-axis. x is the x-value. This form is called the slope-intercept form.
The slope of a linear function is calculated by rearranging the equation to its general form, f(x) = mx + c; where m is the slope.
in question f(-2) = - 6
so x= -2
In function f(x) = 4x³ + 6x² - x
F(-2) = 4(-2)³ + 6 (-2)² - (-2) = - 6
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The volume of a cylinder does not change
if you slant the (fill in the blank)
the cylinder but keep the
of(fill in the blank)
the same. The
volume of an oblique cylinder is the same
as the volume of an upright cylinder with
the same base and height.
Answers
If you slant the height of the cylinder but keep the radius the same then the volume of an oblique cylinder is the same.
What is an oblique cylinder?
When a cylinder "leans over," that is when its sides are not parallel to its bases, then the cylinder is said to be an oblique cylinder. The bases (ends) of an oblique cylinder stay parallel to one another, while the sides tilt outward at an angle that isn't quite 90°.
An oblique cylinder will have the same volume as a right cylinder with the same radius and height. As long as the radius and height are the same, the volume does not vary, but the height must equal the perpendicular height.
From the above observations, we can say that If you slant the height of the cylinder but keep the radius the same then the volume of an oblique cylinder is the same.
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solve for x and find each angle measure
(7x-32)
(5x-27)
(9x-8)
equation
x:
please help me !!
it’s for a quiz
Answers
Answer:
Step-by-step explanation:
187
rearrange the formula below to make 'a' the new subject:
[tex]c + \frac{1}{2} a^{2}b = d[/tex]
Answers
Answer:
a = ± [tex]\sqrt{\frac{2d-2c}{b} }[/tex]
Step-by-step explanation:
c + [tex]\frac{1}{2}[/tex] a²b = d ( multiply through by 2 to clear the fraction )
2c + a²b = 2d ( subtract 2c from both sides )
a²b = 2d - 2c ( divide both sides by b )
a² = [tex]\frac{2d-2c}{b}[/tex] ( take square root of both sides )
a = ± [tex]\sqrt{\frac{2d-2c}{b} }[/tex]
A farmer sold 50 cows. If this was 20% of his herd, how many cows were in his herd?
Answers
What is the least common multiple of 8, 29, and 22?
Answers
Answer:
1
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
Simplify negative 1 and 2 over 3 minus 9 and 2 over 5.
11 and 1 over 15
negative 10 and 4 over 8
negative 16 over 15
negative 166 over 15
Answers
The simplified form of the given expression; negative 1 and 2 over 3 minus 9 and 2 over 5 as required is; -166/15 (negative 166 over 15).
What is the simplified form of the expression?It follows from the task content that the simplified form of the given expression is to be determined.
Since the given expression is; -1 ⅔ - 9 ⅖.
First, the mixed numbers as in the task content must be converted to fractions so that we have;
- 1 ⅔ = -5/3 and
9 ⅖ = 47/5
Therefore, the required evaluation is; -5/3 - 47/5
= -25/15 - 141/15
= (-25 - 141) / 15
= -166/15
Therefore, the required simplified form of the expression is; negative 166 over 15.
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