The description for the problem involving the linear function is given as follows:
The time it will take to make a total of 20 parts is of 6 minutes.
How to interpret this problem in the context of a linear function?The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which:
m is the slope, representing the rate of change.b is the y-intercept, representing the initial value.In this problem, the function is defined as follows:
y = 2x + 8.
In which the variables are given as follows:
x is the time in minutes.y is the number of pieces made.Hence the time needed to make 20 pieces is given as follows:
20 = 2x + 8
2x = 12
x = 12/2
x = 6 minutes.
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Rewrite in simplest rational exponent form. Show each step of your process
The final answer is 4x, which is the simplest form of expression.
What is the rational exponent?
A rational exponent is an exponent that is in the form of a ratio of two integers, such as a/b where a and b are integers and b is not equal to zero.
To rewrite the expression in simplest rational exponent form, we can first simplify the radicals and then combine any like terms. Here are the steps to simplify the given expression:
4√x* √x = 4 * 1 √x * √x = 4 * x^(1/2) * x^(1/2) = 4 * x^( (1/2)+(1/2) ) = 4 * x^(1)
x^(1) = x
So, the expression in simplest rational exponent form is 4x
x * 4x = 4x
Notice that 4 and x are in the same radical which means 4 is a coefficient of x.
Therefore, 4√x * √x can be written as 4x, which is in the simplest form.
hence, the final answer is 4x, which is the simplest form of expression.
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What are the 3 types of polynomials and how many terms does each one have?
Monomial, binomial, and trinomial expressions are all categorized by the number of terms they include.
A polynomial is a mathematical statement made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables.
An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable).
A polynomial with one term is called a monomial. A polynomial having two dissimilar terms is called a binomial. An algebraic expression having three terms is called a trinomial.
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omg guyzzz where r u
Answer:
we are here, where have you been...???
Answer:
im at ur frien joe's house
Step-by-step explanation:
Consider a sequence whose five terms are: 3, 9, 27, 81, 243 Which function ( with domain all integers could used to define and continue this sequence
Answer: a(n)=3^n as an infinite sequence
I do not know whether you've been introduced to series notation yet, though if you haven't, a(n)=3^n pertains to sequences specifically.
a(n) = 3^n = {3^1, 3^2, 3^3, 3^4, 3^5...}
Which equals 3^n = {3, 9, 27, 81, 243...}
Find all the real and complex solutions of the polynomial equation. Be sure to show ALL work (4 points):
The real and complex solutions of the polynomial equation are 2,-3i and 3i
What is Polynomial?Polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables
The given polynomial is x³-2x²+9x-18
Factor out x² from x³-2x² which becomes x²(x-2)
Factor out 9 from 9x-18 which becomes 9(x-2)
x³-2x²+9x-18
x²(x-2)+9(x-2)
Factor out common term x-2
( x²+9)(x-2)=0
x²+9=0
x=-3i and 3i
x-2=0
x=2
Hence, the real and complex solutions of the polynomial equation are 2,-3i and 3i
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Is infinity times 0 still 0?
Yes, infinity times 0 is still 0 because if we multiply 0 to any number is 0.
Yes, infinity times 0 is still 0 because if we multiply 0 to any number is 0.
0 * 0 * 0 * 0= 0
Zero is the integer denoted 0 that, when used as a counting number, means that no objects are present. It is the only integer (and, in fact, the only real number) that is neither negative nor positive. A number which is not zero is said to be nonzero. A root of a function f is also sometimes known as "a zero of f."
The Schoolhouse Rock segment "My Hero, Zero" (Multiplication Rock, Season 1, Episode 2, 1973) extols the virtues of zero with such praises as, "My hero, zero Such a funny little hero But till you came along We counted on our fingers and toes Now you're here to stay And nobody really knows How wonderful you are Why we could never reach a star Without you, zero, my hero How wonderful you are."
Zero is commonly taken to have the factorization 0=0·1 (e.g., in the Wolfram Language's FactorInteger[n] command). On the other hand, the divisors and divisor function sigma_k(0) are generally taken to be undefined, since by convention, n|0 (i.e., n divides 0) for every n except zero.
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A rectangular tissue box is 52
5
inches long, 4 inches wide, and 1 1
4
inch tall. What is the
volume of the tissue box? Round to the nearest tenth.
hi add me now or else
GIVING BRAINLIEST POINTS Graph the parabola: (x+2)^2= -12(y-1)
Answer:
did you type the right question give me the correct one and i will help
Step-by-step explanation:
What is an equation of the line that passes through the points (-4, -1) and (6, -1)
Answer:
y = -1
Step-by-step explanation:
y2 - y1 / x2 - x1
-1 - (-1) / 6 - (-4)
0
y = 0x + b
-1 = 0(-4) + b
-1 = 0 + b
-1 = b
Bookwork code: E13 Work out the equation of the straight line shown below. Give your answer in the form y = mx + c, where m and care integers or fractions in their simplest forms. 7 4- 3. 2- 1- -6 -5 -4 -3 -2 -1.0 -1- --2- --3- -4- -5- Calculator not allowed T 2 3 4 5 6 X
Answer:
y = -5x +4
Step-by-step explanation:
You want the point-slope equation of the line with y-intercept +4 and through the point (1, -1).
SolutionThe graph shows you the line decreases 5 units from +4 to -1 as x increases 1 unit from 0 to 1. This tells you the slope is ...
m = rise/run = -5/1 = -5
The y-intercept is the value of y where the line crosses the y-axis:
b = 4
These values go into the point-slope equation:
y = mx +b . . . . . . line with slope m and y-intercept b
y = -5x +4 . . . . . . line with slope -5 and y-intercept 4
A kite is shaped like an isosceles triangle. To the nearest tenth what is the length of the spine?
The length of the spine will be;
⇒ 48.2 cm
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
A kite is shaped like an isosceles triangle.
Now,
Since, A kite is shaped like an isosceles triangle.
Hence, Two sides of a triangle is equal to each other.
Let the length of the spine = x
So, We can formulate by the Pythagoras theorem,
⇒ Hypotenuse² = Base² + Perpendicular²
⇒ 62² = (78/2)² + x²
⇒ 3844 = 39² + x²
⇒ 3844 = 1521 + x²
⇒ 3844 - 1521 = x²
⇒ 2323 = x²
⇒ x = √2323
⇒ x = 48.2 cm
Thus, The length of the spine = 48.2 cm.
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What are the 3 types of solutions for systems?
The three types of solutions for systems are:
Consistent solutionsInconsistent solutionsDependent solutionsA consistent system is one where the number of equations is equal to the number of unknowns, and a unique solution can be found. An inconsistent system is one where the number of equations is greater than the number of unknowns and there is no solution.
A dependent system is one where the number of equations is less than the number of unknowns and an infinite number of solutions exist. In a consistent and dependent system, the solution can be found by using methods such as elimination or substitution.
In an inconsistent system, the system has no solution. In dependent system, the solution can be found by using methods such as elimination or substitution, but the solution is not unique it has infinite solutions.
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PLEASE HELP!!!!
Pls answer all questions and show the work!!
Read the link attached.
I have written it down on the word doc
Which steps will generate an expression equivalent to 17(x+5)?
MARK BRAINLIEST
Answer:
multiply 17x5=85,85+5=90 so aswer is 90
Step-by-step explanation:
Answer:
17+85 is the answer that I got
what type of shape is this?
The backyard of a new home is shaped like a trapezoid with a height of 46 ft and bases of 78 ft and 111 ft. What is the cost of putting sod on the yard, if the landscaper charges $0.21 per square foot for sod?
The sod will cost $
Answer:
$899.54
Step-by-step explanation:
To find the cost of sod for a trapezoid shaped yard, we need to first find the area of the trapezoid. The formula for the area of a trapezoid is:
Area = (1/2) * h * (b1 + b2)
where h is the height of the trapezoid and b1 and b2 are the lengths of the bases.
Substituting the given values, we get:
Area = (1/2) * 46 ft * (78 ft + 111 ft)
= (1/2) * 46 ft * 189 ft
= 4274 ft^2
To find the cost of sod for this area, we need to multiply the area by the cost per square foot of sod. The cost will be:
Cost = 4274 ft^2 * $0.21/ft^2
= $899.54
So the cost of sod for this yard will be $899.54.
What is the discriminant of 3x^2 2x 1 0?
The discriminant of quadratic equation 3x^2 + 2x + 1 =0 is -8
We know that the standard form of quadratic equation is ax^2 + bx + c = 0, with a ≠ 0
The discriminant of quadratic equation ax^2 + bx + c = 0 is:
D = b^2 - 4ac
Comparing given quadratic equation 3x^2 + 2x + 1 =0 with ax^2 +bx + c = 0 we get,
a = 3, b = 2 and c = 1
So, the discriminant of given equation would be,
D = b^2 - 4ac
D = 2^2 - 4(3)(1)
D = 4 - 12
D = -8
Therefore, the discriminant is D = -8
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HELP PLEASE !!!
What is the measure of ‹1?
Answer:
<1 = 114
Step-by-step explanation:
<1 = <7 because they're alternate exterior angles.
Since <7 is 114, <1 is also 114.
What value of x satisfies the equation − 3 4x − 5 )= 2 1 − 5x?
For the given expression, x has a value of 6.5.
What are expressions?A sentence qualifies as a mathematical expression if it comprises one or more mathematical operations, at least two numbers, or variables.
A number is 6 times larger than the other number, x, by a factor of 2.
The equation x/2 + 6 in mathematics represents this claim.
Here, we have the equation:
-3(4x - 5) = 2(1 - 5x)
Find the value of x by solving the expression:
-3(4x - 5) = 2(1 - 5x)
-12x + 15 = 2 - 10x
-2x = -13
x = -13/-2
x = 13/2
x = 6.5
Therefore, for the given expression, x has a value of 6.5.
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Correct question:
What value of x satisfies the equation -3(4x - 5) = 2(1 - 5x)?
Chicken is on sale for $2.29 per lb at the grocery store. If Jerry buys 3 lbs, what would be his final cost including 6% tax?
Estimate how many times larger 6.1 • 10^7 is than 2.1 • 10^-4
Answer:
Estimation: 300 Billion times bigger
Actual: 290 Billion times bigger
Step-by-step explanation:
Lets group the coefficients together and the exponents together.
[tex](\frac{6.1}{2.1})(\frac{10^7}{10^{-4} })[/tex]
We can round 6.1 to 6.
We can round 2.1 to 2.
[tex](\frac{6}{2})(\frac{10^7}{10^{-4} })[/tex]
[tex](3)(\frac{10^7}{10^{-4} })[/tex]
Subtract the exponent from the denominator from the exponent of the numerator.
[tex](3)(10^{7-4*1} )[/tex]
[tex](3)(10^{7+4} )[/tex]
[tex](3)(10^{11} )[/tex]
[tex]3*10^{11}[/tex]
[tex]10^{11}[/tex] is 100 billion.
3 times 100 billion is 300 billion.
Please help thank you
ava has 2 dozen pencles.3/8 of them are sharpened. how many are sharpened? how many are not?
Answer:
3/8 of 24 is 9
9 are sharpened so 24-9=15
15 pencils are not sharpened.
The number of blueberry muffins that a baker makes each day is 40% of the total number of muffins she makes, on Monday the baker makes 36 blueberry muffin what is the total number of muffins that the baker makes on Monday.
Answer:
90
Step-by-step explanation:
40% is for 36
(100*36)/40
please help me
If 6 times a number = 3 times the same number,
What is that number?
Answer:
I'm pretty sure it's either 27, or 12.
Step-by-step explanation:
Please show your work; only #8!
Answer:
x = 0.16
Step-by-step explanation:
Step 3:
Solve the equation for x by finding a , b , and c of the quadratic then applying the quadratic formula.
[tex]x = - \frac{11 - \sqrt{185} }{16}[/tex]
Then, evaluate for x:
x = 0.16259190... which is about,
x = 0.16
The volume of a sphere is given by the equation V = 1/6(square root of 3.14) x 60^3/2
where S is the surface area of the sphere. Find the volume of a water walking ball, to the nearest cubic meter
please help!!!! Thank you!!
Answer:
10
Step-by-step explanation:
Mr Hong is a rare coin collector. He recently bought a coin valued at $5400. It has been determined that the coin will increase in value by $30 each month. Mr Hong plans to sell the coin within 5 years. a. name the quantities that stay the same in this problem situation & the quantities that remain constant .
How do you solve inequalities in 7th grade?
Inequalities are mathematical expressions involving the symbols >, <, ≥ and ≤. To ‘solve’ an inequality means to find a range, or ranges, of values that an unknown x can take and still satisfy the inequality.
Suppose we want to solve the inequality x + 3 > 2.
We can solve this by subtracting 3 from both sides:
x + 3 > 2
x > −1
So the solution is x > −1. This means that any value of x greater than −1 satisfies x + 3 > 2.
Inequalities can be represented on a number line such as that shown in the image attached below. The solid line shows the range of values that x can take. We put an open circle at −1 to show that although the solid line goes from −1, x cannot actually equal −1.
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