the absolute extrema of the linear equation f(x) = 12x^2 -11x +2 are 27 (absolute maximum) for x = - 8 and - 9 (absolute minimum) for x = 4. (- 8, 27) and (4, - 9).
What are the absolute extrema of a linear equation within a closed interval?
According to the functions theory, linear equations have no absolute extrema for all real numbers, but things are different for any closed interval as absolute extrema are the ends of linear function. Now we proceed to evaluate the function at each point:
Absolute maximum
f(- 8) = 12x^2 -11x +2
f(- 8) = 27
Absolute minimum
f(4) = - 3 · 4 + 3
f(4) = - 9
By means of functions theory and the characteristics of linear equations, the absolute extrema of the linear equation f(x) = 12x^2 -11x+2 are 27 (absolute maximum) for x = - 8 and - 9 (absolute minimum) for x = 4. (- 8, 27) and (4, - 9).
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Write the equation of the line that passes through the points (7, 4) and (-5, 4). Put
your answer in fully simplified point-slope form, unless it is a vertical or horizontal
line.
Answer:
y = 4
Step-by-step explanation:
note that the y- coordinates of the 2 points are equal, both 4
This indicates that the line passing through them is horizontal with equation
y = c ( c is the value of the y- coordinates the line passes through ), then
y = 4 ← equation of line
Maya worked 41 hours this week at a local hospital. She makes $12. 00 per hour. Anytime over 40 hours is paid at time and half or 1. 5 times her hourly wage. How much will maya earn for her 41 hours of work this week?.
We know that Maya's earnings will be $498 for working 41 hours using simple mathematical operations.
What do we mean by mathematical operations?A rule that specifies the right procedure to follow while evaluating a mathematical equation is known as the order of operations.
Parentheses, Exponents, Multiplication, Division (from Left to Right), Addition, and Subtraction are the steps that we can remember in that order using PEMDAS (from left to right).
So, earnings of Maya when she works for 41 hours are:
We know that Maya works for $12.00 per hour.
She's paid 1.5 times her hourly income when she works for more hours after 40 hours.
That will be: 12 × 1.5 = $18
Hence, Maya's income for 41 hours will be:
40 hours + 1 hour (Extra hour)
(12 × 40) + 18
480 + 18
$498
Therefore, we know that Maya's earnings will be $498 for working 41 hours using simple mathematical operations.
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A product sells at a regular price of $150 which is on sale for 60% off the regular price. Find the sale price.
The new sale price of the product after the deduction of discount is $60
What is the sale price?Based on the given task content; percentage is the concept that can be used to solve for the new sale price.
Regular price of the product = $150Percentage discount = 60%New price of the product = Regular price of the product - (Percentage discount × Regular price of the product)
= 150 - (60% × 150)
= 150 - (0.6 × 150)
= 150 - 90
= $60
Consequently, new selling price of the product is $60
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PLEASE HELP! (WILL MARK BRAINLIEST.)
The cost to rent a scooter is $24 plus $1.25 per mile traveled on the scooter. Paula rented a scooter and paid a total of $48. How many miles did she ride?
*please provide an explanation! *
Answer:
answer = 19.2
Step-by-step explanation:
48 = 24 + 1.25x
48 - 24 = 1.25x
24 = 1.25x
24/1.25 = x
19.2 = x
When 9 is multiplied by 2/3 the product will be between 2/3 and 9
The required product will be 6 when 9 is multiplied by 2/3.
What is the Multiplication operation?In mathematics, Multiplication operations perform Multiplying values on either side of the operator.
For example 4×2 = 8
We have to determine whether the product will be between 2/3 and 9
As per the given question, we have
2/3 and 9
⇒ 2/3 × 9
Apply the multiplication operation,
⇒ 18/3
Reduce the above fraction into the simplest form, and we get
⇒ 6
Thus, the required product will be 6 between 2/3 and 9.
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two trains leave stations miles apart at the same time and travel toward each other. one train travels at miles per hour while the other travels at miles per hour. how long will it take for the two trains to meet? do not do any rounding.
Time taken for the both train to meet each other is 1.8 hours
The distance between two stations = 360 miles
The speed of one train = 95 miles per hour
The speed of the second train = 105 miles per hour
The relative speed of the trains = 95 + 105
Add the numbers
= 200 miles per hour
We know
Speed = Distance / Time
The time = Distance / Speed
The time taken for the two trains to meet = Distance / relative speed
Substitute the values in the equation
= 360 / 200
= 1.8 hours
Therefore, both trains will meet each other after 1.8 hours
I have answered the question in general, as the given question is incomplete
The complete question is:
Two trains leave stations 360 miles apart at the same time and travel toward each other. One train travels at 95 miles per hour while the other travels at 105 miles per hour. How long will it take for the two trains to meet?
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How do you multiply powers with different bases but the dame exponent?
Answer:
Step-by-step explanation:
First, multiply the bases together. Then, add the exponent. Instead of adding the two exponents together, keep it the same. This is because of the fourth exponent rule: distribute power to each base when raising several variables by a power.
brayden was a 60% free throw shooter last season. he practiced all through the off-season and has made 12 of the first 16 free throws this season. based on his performance and the results of the simulation, is there convincing evidence that brayden has improved his free-throw percentage? explain.
Yes , there is convincing evidence that Brayden has improved his free-throw percentage when compared to previous year.
Brayden made 60 % free throws last year
P(Making free throw last year) = 0.6
This year,
X% of 16 = 12
X/100 * 16 =12
75%
therefore, this year
P(Making free throw this year) = 7.5
This clearly shows that he improved his free throw percentage compared to last year.
Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
Probability has been introduced in Maths to predict how likely events are to happen. The meaning of probability is basically the extent to which something is likely to happen. This is the basic probability theory, which is also used in the probability distribution, where you will learn the possibility of outcomes for a random experiment.
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Question inside if the picture
The value of the function, f(g(x)), is [tex]f(g(x)) = 2(\sqrt{x+7} )- 3[/tex]. The correct option is the second option [tex]2(\sqrt{x+7} )- 3[/tex]
Evaluating a functionFrom the question, we are to determine the value of the given function, f(g(x))
From the given information,
The given functions are
[tex]f(x) = 2x- 3[/tex]
and
[tex]g(x) = \sqrt{x+7}[/tex]
To determine the value of f(g(x)), we will substitute the value of g(x) into the function, f(x)
That is,
[tex]f(x) = 2x- 3[/tex] becomes
[tex]f(g(x)) = 2(\sqrt{x+7} )- 3[/tex]
Hence, the value of f(g(x)) is [tex]2(\sqrt{x+7} )- 3[/tex]
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How many solutions does this linear system have? one solution: (0, –1) one solution: (1, 4) no solution infinite number of solutions
Linear systems have no solution.
What are the solutions to the linear system?
The solution to a system of linear equations is the point that lies on both lines. In other words, the solution is the point where the two lines intersect
A system of linear equations usually has a single solution, but sometimes it can have no solution (parallel lines) or infinite solutions (same line).
How do you determine a linear system?
Simplify the equation as closely as possible to the form of y = mx + b. Check to see if your equation has exponents. If it has exponents, it is nonlinear. If your equation has no exponents, it is linear
Linear means something related to a line. All the linear equations are used to construct a line. A non-linear equation is such that it does not form a straight line. It looks like a curve in a graph and has a variable slope value.
Hence, the linear systems have no solution.
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The point g(2,1) is translated 3 units left. What are the coordinates of the resulting point, g'?.
The coordinates of the resulting point, g' is :
(-1,1)
Given:
The coordinate plane allows for the translation of any object both horizontally (left/right) and vertically (up/down).
Rules are:
Replace x with x - k when the form is moved k units to the left.Replace x with x + k when the form is moved k units to the right.Replace y with y + k when the form is raised by k units.Change y to y - k when the form is shifted down by k units.The point g(2,1) is translated 3 units left.
we are asked to find the coordinates of the resulting point, g'.
By translating 2 units left, it means the x-axis value is made more negative by 2 units
So we are going to subtract two from the x-coordinate
So we have;
(2-3,1)
= (-1,1)
Hence we get the required coordinates.
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a cylindrical can containing pieces of fruit is filled to the top with syrup before being sealed. the base of the can has an area of 75 \text{ cm}^275 cm 2 75, start text, space, c, m, end text, squared, and the height of the can is 10 \text{ cm}10 cm10, start text, space, c, m, end text. if 110 \text{ cm}^3110 cm 3 110, start text, space, c, m, end text, cubed of syrup is needed to fill the can to the top, which of the following is closest to the total volume of the pieces of fruit in the can?
The total volume of the fruits is 640 when Syrup is poured over fruit pieces in a cylindrical can and then the lid is closed. The can's height is 10 cm, and its base has a surface area of 75 cm².
Given that,
Syrup is poured over fruit pieces in a cylindrical can and then the lid is closed. The can's height is 10 cm, and its base has a surface area of 75 cm².
We have to find which of the following comes closest to the total volume of the fruit pieces in the can if 110 cm³ of syrup is required to fill the can completely.
We know that,
Total volume of the cylinder can is equal to the sum of the total volume of fruits and total volume of Syrup.
So,
The total volume of the fruits is we have to find take x
The total volume of the cylinder is base× height=75×10
The total volume of the syrup is 110
So,
75×10=x+110
x=750-110
x=640
Therefore, The total volume of the fruits is 640 when Syrup is poured over fruit pieces in a cylindrical can and then the lid is closed. The can's height is 10 cm, and its base has a surface area of 75 cm².
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1. Which of the following describes this function?
OIt is a linear function, and it is decreasing.
O it is not a linear function, and it is constant.
OIt is not a linear function, and it is decreasing
It is a linear function, and it is increasing
solve for y : -9=-7x+10
Answer: x=-19/7 or -2.71428571
Step-by-step explanation:
first you have to subtract 10 from each side to isolate the variable x. So -9-10=-19, and 10-10=0. Then to find x, you divide both sides by its coefficient, in this case 7.
A clothing store offers customers a holiday sale of 30% off the price of x items. A customer then has an additional 15% off coupon that can be used whe checking out. Which of the following functions represents the final price Px) of the items purchased?
a. P(x) = 0.045x b. P(x) = 0.45X c. P(x) = 0.595x
d. P(x) = 0.15x
A clothing store offers customers a holiday sale of 30% off the price of x items. A customer then has an additional 15% off coupon that can be used when checking out then the function is P(x) = 0.595x
Original price = x
Sale price = 30% off:
x - 30% =
x - 0.3x =
0.7x
Further discount 15% off:
0.7x - 15% =
0.7x - 0.7x*0.15 =
0.7x - 0.105x =
0.595x
The function is:
P(x) = 0.595x
Correct choice is C
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taylor ran a study with a 2x2 factorial design and found a significant main effect associated with one of the independent variables. he decides that he need to run a post-hoc test to find out exactly which conditions are constituting the significant difference. for which of the following reasons is this a foolish idea?
Taylor conducted a study using a 2x2 factorial design, and one of the independent variables was linked to a substantial main effect with significant difference.
A post-hoc test is not appropriate in this situation because it cannot provide reliable information about the conditions that are causing the significant difference. Post-hoc tests are only appropriate for small sample sizes and cannot be used to draw any definitive conclusions about the causes of a significant main effect.
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Find the ditance from the point A(-2,3) to the line y =1/2x1. Round your anwer to the nearet tenth
The distance in units of 2√5 between the point A(-2,3) and the line y =1/2x1.
What is slope?A line's steepness and direction are measured by the line's slope. Without actually using a compass, determining the slope of lines in a coordinate plane can assist in forecasting whether the lines are parallel, perpendicular, or none at all.
Any two different points on a line can be used to calculate the slope of any line.
The ratio of "vertical change" to "horizontal change" between two different points on a line is calculated using the slope of a line formula.
We will comprehend the slope-finding method and its applications in this article.
According to our question-
10/√5 *√5/√5*105/√5
Hence, The distance in units of 2√5 between the point A(-2,3) and the line y =1/2x1.
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What is the answer to 2+2?
A- 4
B- 5
C- 22
D- 8
Please Help!!!! Hurry!!
Answer:b e and g
Step-by-step explanation:
because between e and g it increases the most
Solve the quadratic equation: 3x2 − 3x − 3 = 0
Determine the value of x in the following triangle.
Answer:
the value of x is 9
Step-by-step explanation:
the sum of all angles of a triangle is 180
one side is 90 so,
90+7x+3x = 180
10x = 180-90
10x = 90
x=9
Write the equation of the line passing through the points (0, 0), (2, 1), and (-2, − 1).
Answer:
y = 0.5x
Step-by-step explanation:
Slope = m = (2-0)/(1-0) = 1/2 or 0.5
y-intercept = b = 0 since it passes through (0,0)
Slope-Intercept form of a line is y = mx + b
So the equation is
y = 0.5x + 0
or
y = 0.5x
An artist frames his rectangular artwork. The length of his art is 3 times the
vidth, w. How can he represent the perimeter of the art? Draw a line to match
ach reason on the left to the expression it describes.
Provides a relationship between length and width
Provides a sense of the entire perimeter
Provides a description of the amount of framingmaterial for length and for width separately
3w
8w
2(w +3w)
4(3W)
6w+2w
Answer:
See attached worksheet
Step-by-step explanation:
what is the product of 5/6 x 2/3
belmont records sends a disk jockey 13 new cd releases for possible use. in how many ways can the disk jockey select no more than 11 cds?
No: of ways can the disk jockey select no more than 11 CDs is 1012
What is a combination in math?Combinations are mathematical operations that count the number of possible configurations for a set of items where the order of the selection is irrelevant. You can choose the components of combinations in any order. Permutations and combinations can be mixed up.
What are the two types of combinations?Combinations with Repetition. ...
Combinations without Repetition. ...
Combinations with Repetition.
There are more options for him to pick from than just 11 CDs when choosing "no more than 8 CDs," including 11,10,9,8,7, 6, 5, 4, 3, and 1.
Ways to choose 9 CDs: 13C9=10
Ways to choose 8 CDs: 13C8= 45
Ways to choose 7 CDs: 13C7 = 120
Ways to choose 6 CDs: 13C6= 210
Ways to choose 5 CDs: 13C5 = 252
Ways to choose 4 CDs: 13C4 = 210
Ways to choose 3 CDs: 13C3= 120
Ways to choose 2 CDs: 13C= 45
Ways to choose 1 CD: 13C1 = 10
10+45 + 120 + 210 + 252 + 210 + 120 + 45 + 10 = 1012
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can someone do this and show work plsss xx
Answer:
Here is the work
Step-by-step explanation:
Which expression makes the equation true for
the values of x?
16x16= 4(?)
a. 4x - 4
b. 4x - 16
C. 2x - 2
d. 12x -12
Answer:
Step-by-step explanation:
answer is c
Which of the following fractions have repeating decimal representations? Which have terminating decimal representations?
a) 3/16 b) 4/125 c) 3/13 d) 7/24
Repeating decimal representation will be 3/13, 7/24. Terminating decimal representation will be 3/16, 4/125.
What is decimal?The accepted method for representing both integer and non-integer numbers is the decimal numeral system. It is the expansion of the Hindu-Arabic numeral system to non-integer values. Decimal notation is the term used to describe the method of representing numbers in the decimal system. The base-10 number system, arguably the most widely used number system, is referred to as decimal. The decimal number system consists of ten single-digit numbers: 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9. The number following nine is 10.
Here,
Repeating decimal representation,
=3/13, 7/24
Terminating decimal representation,
=3/16, 4/125
3/13 and 7/24 will be repeated in decimal form. The final two decimal places are 3/16 and 4/125.
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Find an equation for the parabola that has its vertex at the origin and has its focus at the point: ( − 7.32 , 0 ) .
Step-by-step explanation:
1.What is the equation of a parabola with a vertex at (0, 0)?
y = ax²; y = -ax²; x = ay²; x = -ay² where a = [½, 1 , 2]
Also an infinity of others at various values of a and various angles.
2.The focus lies above the vertex, so the parabola is vertical and the focal length p=10.25
Equation for up-opening parabola with vertex (h,k) and focal length p:
y=14p(x−h)2+k
y=14p(x−0)2+0y=141x2
3.Since the directrix is the line y=−10.25 , a point (x,y) is on the parabola if, and only if,
x2+(y−10.25)2=(y+10.25)2.
Therefore, x2−20.5y=20.5y and y=141x2.
hope I helped
Which of these tables (if any) represent a proportional relationship?
please help!!
None of the tables represent a proportional relationship.
What is a proportional relationship?Proportional relationships are those in which the ratios of two variables are equal. Another way to think about them is that one variable in a proportional relationship is always a constant value multiplied by the other. This is known as the "constant of proportionality."
To determine whether a relationship is proportional, examine the ratios between the two variables. The relationship is proportional if the ratio is always the same. The relationship is not proportional if the ratio changes.
Fir the first table, the ratio varies. Also, the second table isn't constant.
Therefore, none has a proportional relationship.
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