Twice the opposite of eleven will be 2(-11).
What is an expression?An expression is a combination of some mathematical symbol such that arithmetic operator and variable such that all are constrained and create an equation.
In other meaning, expression is very useful to determine the end or root value of constraint.
For example 3x +5y
The constraint of expression is represented as = or <, >.
Opposite of eleven = negative of eleven
Opposite of eleven = -11
Twice = multiply by two
So,
Twice the opposite of eleven = 2(-11) = -22
Hence "Twice the opposite of eleven will be 2(-11)".
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Would x + x + x +x be 4 or 4x?
Answer:
x+x+x+x = 4x.
Step-by-step explanation:
x + x + x + x can represent 4x since there are 4 x’s. Those 4 x’s represent x being multiplied by 4, since there are 4 x’s.
Therefore, your answer is 4x.
The graph of f(x) = 2x3 – 19x2 + 57x – 54 is shown below. How many roots of f(x) are rational numbers
The root of the function is such point [tex]x_0,[/tex] for which [tex]f(x_0)=0.[/tex]
The attached graph of the function [tex]f(x) = 2x^3 - 19x^2 + 57x - 54[/tex] shows, that the graph of the function intersects the x-axis in three points (2,0), (3,0) and (4.5,0).
This means that for
x=2, f(2)=0;x=3, f(3)=0;x=4.5, f(4.5).Thus, x=2, x=3 and x=4.5 are rational roots of the polynomial function f(x).
Answer: three rational roots.
The polynomial function f(x) = 2x^3 - 19x^2 + 57x - 54 has three rational roots at x=2, x=3, and x=4.5, as confirmed by the graph intersecting the x-axis at these points.
The graph of the function f(x) = 2x^3 - 19x^2 + 57x - 54 intersects the x-axis at three points: (2,0), (3,0), and (4.5,0). This implies that x=2, x=3, and x=4.5 are the roots of the polynomial function.
Since these values are rational, the function has three rational roots. Rational roots occur when the function evaluates to zero for specific rational input values.
In this case, f(2) = 0, f(3) = 0, and f(4.5) = 0. The graph crossing the x-axis at these points confirms their status as roots. The polynomial f(x) has three rational roots, which are x = 2, x = 3, and x = 4.5.
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What is the result of dividing 2x3+6x2+6x+22x3+6x2+6x+2 by x+1x+1 ? A")2x2+4x+102x2+4x+10
B) 2x2+4x+22x2+4x+2
C:)2x2+6x+22x2+6x+2
D)2x2+6x+12
Answer:
[tex]2x^2+4x+2[/tex]
Step-by-step explanation:
[tex]2x^3+6x^2+6x+2[/tex] divide by x+1
Divide the first term of numerator by the first term of denominator and put it at the top. then multiply the answer by x+1 . write the expression at the bottom and subtract it. Repeat the process till we get remainder.
[tex]2x^2+4x+2[/tex]
-------------------------------------------------------
[tex]x+1[/tex] [tex]2x^3+6x^2+6x+2[/tex]
[tex]2x^3+2x^2[/tex]
-----------------------------------------(subtract)
[tex]4x^2+6x[/tex]
[tex]4x^2+4x[/tex]
-------------------------------------------Subtract
[tex]2x+2[/tex]
[tex]2x+2[/tex]
------------------------------------------Subtract
0
Write and equation of the line that passes through the point (2,4) and is perpendicular tothe line hows equation is 3y-6x+3
Find the slope of the line passing through the two points.
(–7, 8), (–4, 3)
(12, 1), (36, 42)
Find the exact value of the following. Do NOT use labels in your answer and do NOT round your answer. -3(1.2)^2 =
The measure of an angle is 9°. what is the measure of a complementary angle?
Why does a horizontal line have a slope of 0, but a vertical line has anundened slope?
BRIANLIEST ~
Part A: Amir rented a scooter at $43 for 3 hours. If he rents the same scooter for 8 hours, he has to pay a total rent of $113.
Write an equation in the standard form to represent the total rent (y) that Amir has to pay for renting the scooter for x hours. (4 points)
Part B: Write the equation obtained in Part A using function notation. (2 points)
Part C: Describe the steps to graph the equation obtained above on the coordinate axes. Mention the labels on the axes and the intervals. (4 points)
Identify the property that justifies the following statement: if 16m=160,then m=10
Division Property of Equality
16m = 160
divide both sides by 16 to find m
m = 160/16 = 10
Answer:
Property of equality for division.Step-by-step explanation:
The given expression is
[tex]16m=160[/tex]
So, we use one of the properties of equalities for division, which states that if we divide one side of the equation, we also must divide the other side by the same number, to not mess up the balance of the equation. Applying this property, we have
[tex]\frac{16m}{16}=\frac{160}{16}\\ m=10[/tex]
If 1 card is drawn at random from a standard 52-card deck, what is the probability that the card drawn is a face card?
Suppose you have 74 feet of fencing to enclose a rectangular dog pen. The function a=37x-x2, where x = width, gives you the area of the dog pen in square feet. What width gives you the maximum area? What is the maximum area? Round to the nearest tenth as necessary
Answer: width = 18.5 ft; area = 342.3 ft2
Step-by-step explanation:
you plug in the width with the function , where ever there is an x replace it with the width for the maximum area
Which is true about the functional relationship shown below?
Consider the function f(x) = (x − 3)2(x + 2)2(x − 1).
The zero ______? has a multiplicity of 1.
The zero −2 has a multiplicity of________? .
we have
[tex]f(x)=(x-3)^{2}(x+2)^{2}(x-1)[/tex]
we know that
The zero of the function is the value of x when the value of the function is equal to zero
[tex]f(x)=(x-3)^{2}(x+2)^{2}(x-1)[/tex]
rewrite the function
[tex]f(x)=(x-3)(x-3)(x+2)(x+2)(x-1)[/tex]
The zero's of the function are
[tex]x=3\ x=3\ x=-2\ x=-2\ x=1[/tex]
so
[tex]x=3[/tex] ------> has a multiplicity of [tex]2[/tex]
[tex]x=-2[/tex] ------> has a multiplicity of [tex]2[/tex]
[tex]x=1[/tex] ------> has a multiplicity of [tex]1[/tex]
therefore
the answer is
The zero [tex]1[/tex] has a multiplicity of [tex]1[/tex]
The zero [tex]-2[/tex] has a multiplicity of [tex]2[/tex]
From the given function, f(x) = (x − 3)2(x + 2)2(x − 1);
The zero 1 has a multiplicity of 1.The zero −2 has a multiplicity of 2Zeros of a functionThe function f(x) = (x − 3)²(x + 2)²(x − 1) given can be expanded so that we have;
f(x) = (x − 3)(x-3)(x + 2)(x+2)(x − 1)Hence, the zeros of the function f(x) are;
x = 3, 3, -2, -2, 1We can conclude that the zero 1 has a multiplicity of 1 and the zero -2 has a multiplicity of 2.
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If the standard deviation of a population increases, what else must necessarily increase? (1 point)
the population's mean
the population's median
the population's mode
the population's variance
truck was caught in a haistorm that left his truck body damaged and his paint ob ruined Ned is fully insured through hi insurance company Which of the following components of Ned's insurance policy will take care of the damage done to Ned's truck during the hailstorm? a, bodily injury b. property damage c. collision d. comprehensive damage
Since Ned's truck suffered body damage due to a hailstorm, the components of Ned's insurance policy will take care of the damage done to Ned's truck during the hailstorm is comprehensive damage.
What is comprehensive car insurance coverage?A comprehensive coverage is an insurance policy which covers the cost of damages to a vehicle which has been involved in an accident that is not caused by a collision.
Comprehensive insurance covers losses such as:
theft,vandalism,hail, etc.Therefore, the components of Ned's insurance policy will take care of the damage done to Ned's truck during the hailstorm is comprehensive damage.
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If two angles are complementary, then they total 90o. converse: inverse: contrapositive:
15 - (-3) - 4
-16
22
-8
14
X+y+z=1
2x+4y+6z=2
-x+3y-5z=11
The question revolves around solving a system of three linear equations with three variables, using algebraic techniques such as substitution or elimination.
Explanation:The system of equations provided can be solved using methods such as substitution, elimination, or matrix operations. The equations given are:
x + y + z = 1 2x + 4y + 6z = 2 -x + 3y - 5z = 11
To solve this system, we can perform operations such as eliminating one variable at a time or using matrices to find the values of x, y, and z that satisfy all three equations simultaneously.
Describe which of the two points lies on the graph of the line
-4x+y=-11
A.3,1
B.1,3
What is an angle that is complementary to angle dge
Daniel mows lawns on the weekend. He graphed his earnings below. What is the rate he charges to mow? A. $15.00 per lawn B. $7.50 per lawn C. $60.00 per lawn D. $1.50 per lawn
To determine Daniel's rate per lawn mowing, we would need to divide his total earnings by the total number of lawns mowed. The answer can also be found by evaluating the slope of a graph with earnings on the y-axis and lawns mowed on the x-axis as the slope would represent his earnings per mow.
Explanation:Without the graph provided, we can't determine the exact answer to this problem. However, conceptually, Daniel's rate per lawn would be calculated by dividing the total amount he earned by the total number of lawns he mowed. For example, if he earned $60 from mowing 4 lawns, his rate would be $15 per lawn.
To find the answer using a graph, you would need to evaluate the slope of the line if the y-axis represents earnings and the x-axis represents lawns mowed. The slope of the line provides the rate, which is Daniel's earnings per mow.
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The range for a set of data is estimated to be 36.
a. what is the planning value for the population standard deviation?
The planning value for the population standard deviation can be found by dividing the range by 4.
Explanation:To estimate the population standard deviation, we can use the planning value formula. The planning value for the population standard deviation is equal to the range divided by 4. Thus, in this case, if the range is estimated to be 36, the planning value for the population standard deviation would be 9.
Given the functions f(x) = 2x −1 and g(x) = 2x + 4, which operation results in the largest coefficient on the x term? addition subtraction multiplication two operations result in the same coefficient
Find mCE
A. 40 DEGREES
B. 50 DEGREES
C. 75 DEGREES
D. 80 DEGREES
The sum of two numbers is 35. Three times the larger number is the same as 4 times the smaller number. Find the smaller number
(HINT. Let x= larger number; 35- x= smaller number
You deposit $2000 in an account that earns simple interest at an annual rate of 4%. How long must you leave the money in the account to earn $500 in interest?
To earn $500 in interest at a 4% annual rate, you need to leave $2000 in the account for approximately 6.25 years.
The formula for simple interest is given by:
[tex]\[ I = P \times r \times t \][/tex]
Where:
- I is the interest earned,
- P is the principal amount (initial deposit),
- r is the annual interest rate (expressed as a decimal), and
- t is the time the money is invested or borrowed in years.
In this case, you want to find t, so rearrange the formula to solve for t:
[tex]\[ t = \frac{I}{P \times r} \][/tex]
Given that P = $2000, r = 0.04 (4% as a decimal), and I = $500, plug these values into the formula:
[tex]\[ t = \frac{500}{2000 \times 0.04} \][/tex]
Calculate the result to find out how long you must leave the money in the account to earn $500 in interest.
[tex]\[ t = \frac{500}{2000 \times 0.04} \]\[ t = \frac{500}{80} \]\[ t = 6.25 \][/tex]
Therefore, you must leave the money in the account for approximately 6.25 years to earn $500 in interest at a simple annual rate of 4%.
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Why is it important to collaborate?
Discuss a project [either at home or at school] in which you have collaborated. Explain the benefits and drawbacks of working with someone else on collaboration projects.
Find the remainder when f(x) is divided by (x - k).
f(x) = 4x3 - 5x2 + 2x + 11; k= 3
Answer:
The remainder is 80
Step-by-step explanation:
Given the polynomial
[tex]f(x)=4x^3-5x^2+2x+11[/tex]
we have to find the remainder when the above polynomial f(x) is divided by x-3
By remainder theorem when we put x=3 in f(x) we get the remainder i.e f(3)
[tex]f(3)=4(3)^3-5(3)^2+2(3)+11[/tex]
[tex]=108-45+6+11[/tex]
[tex]=80[/tex]
which is required remainder.
Hence, the remainder is 80
Melanie made 72 peanut butter cookies and oatmeal cookies. She wants to make identical groups of cookies for her friends. Each group will be as large as possible, and she will use all of the cookies. How many cookies will each friend receive? Explain. Please help me