The mathematical expression from the algebraic expression is a x^3 - 6.
According to the statement
We have to find that the expression of the statement in the mathematical form.
So, For this purpose, we know that the
An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
From the given information:
The hx values are 6 less than the cube of x
Then
To convert into the mathematical form:
The cube of the x is in the mathematical form is a x^3
Then
And the 6 less than the cube
And in the mathematical form it becomes the
x^3 - 6.
So, The mathematical expression from the algebraic expression is a x^3 - 6.
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Using the Factor Theorem, which of the following is a factor of the polynomial function f (x) = 5x3 + 5x2 – 60x?
x – 4
x + 4
x – 5
x + 3
The factors of the given polynomial function are 5x(x+4)(x-3). Therefore, option B is the correct answer.
The given polynomial function is f (x) = 5x³ + 5x² – 60x.
What is the Factor Theorem?The factor theorem states that if f(x) is a polynomial of degree n greater than or equal to 1, and 'a' is any real number, then (x - a) is a factor of f(x) if f(a) = 0. In other words, we can say that (x - a) is a factor of f(x) if f(a) = 0.
Using factor theorem 5x³ + 5x² – 60x=0
⇒ 5x(x²+x-12)=0
⇒ (x²+x-12)=0
Using the splitting middle method we can factorise x²+x-12=0
That is, x²+4x-3x-12=0
⇒ x(x+4)-3(x+4)=0
⇒ (x+4)(x-3)
The factors of the given polynomial function are 5x(x+4)(x-3). Therefore, option B is the correct answer.
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Answer:
(x-4)
Step-by-step explanation:
Use the fact that a/b / c/d = a/b ÷ c/d to simplify each rational expression. State any restrictions on the variables.
9m + 6n / m² n² / 12m + 8n/5 m²
If $9237.05 is put into an account paying %8.82/ a compounding yearly, how much interest will be earned after 16.7 years?
Answer:
$28,656.82
Step-by-step explanation:
I used the compound interest calculator
A = P(1 + r/100)ⁿ
where A = amount accrued, P = investment amount r = rate% and n = number of years
r = 8.82% = 8.82/100 = 0.082 so 1 + r/100 = 1.0882
[tex]\\A = P(1.0882)^{16.7} = \$37,893.87\\\\\mathrm {Interest} = \$37,893.87 - \$9237.05 = \$28,656.82[/tex]
Answer:
$28,656.82
Step-by-step explanation:
Annual Compound Interest Formula
[tex]\large \text{$ \sf I=P\left(1+r\right)^{t} -P$}[/tex]
where:
I = Total interest earned.P = Principal amount invested.r = Interest rate (in decimal form).t = Time (in years).Given:
P = $9237.05r = 8.82% = 0.0882t = 16.7 yearsSubstitute the given values into the formula and solve for I:
[tex]\implies \sf I=9237.05(1+0.0882)^{16.7}-9237.05[/tex]
[tex]\implies \sf I=9237.05(1.0882)^{16.7}-9237.05[/tex]
[tex]\implies \sf I=9237.05(4.1023777...)-9237.05[/tex]
[tex]\implies \sf I=37893.8685...-9237.05[/tex]
[tex]\implies \sf I=28656.8185...[/tex]
Therefore, the amount of interest that will be earned after 16.7 years is $28,656.82 (nearest cent).
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Suppose two boxes of cereal contain the same amount of ounces but cost different amounts. Without computing, how can you determine which Siri will cost more per ounce of cereal? Explain.
Answer:
The one that costs more.
Step-by-step explanation:
Because you already know that they have the same volume (amount of ounces) and they are different prices, whichever one is more expensive has the higher cost per ounce. {You don't need to solve for a ratio or anything because they have the same number of ounces!!!}
Answer: If the number of ounces are the same, then the box that costs more will also cost more per ounce.
what is the answear for 4a+6b+3a+8b
Step-by-step explanation:
4a+3a+6b+8b
7a+14b ......
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[tex]4a+6b+3a+8b\\4a+3a+6b+8b\\7a+14b[/tex]<---- SOLUTION================================================
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[tex]\textcopyright ELIZA[/tex]
Jonathan earns $250 plus $40 for every house he paints
Answer:
250 + 40x
Step-by-step explanation:
x = every house he paints .
im not sure what you want but in case its an equation , here you go .
Answer:
250 + 40x
Step-by-step explanation:
literally what the dude above me said heh
State whether the sentence is true or false. If false, replace the underlined term to make a true sentence.
Determining the arrangement of people around a circular table would require circular permutation.
True, Determining the arrangement of people around a circular table would require circular permutation.
In statistics, what does a probability mean?
The probability serves as a gauge for how likely an event is to occur. It gauges how likely an event is. P(E) = Number of Favorable Outcomes/Number of Total Outcomes is the formula for probability.Mathematics' study of random events is known as probability, and there are four primary types of probability: axiomatic, classical, empirical, and subjective. Since probability is the same as possibility, you could say that it is the likelihood that a specific event will occur.True, Determining the arrangement of people around a circular table would require circular permutation.
It happens that there are only two ways we can seat three people in a circle, relative to each other's positions.
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The maximum outstanding balance you should have on a credit card with a $2,000 limit is _____.
Determine whether the following statement is always, sometimes, or never true. Explain your reasoning.
When using the distributive property, if the term outside the parentheses is negative, then the sign of each term inside the parentheses will change: Always TRUE
What do we mean by distributive property?The distributive property of binary numbers in mathematics generalizes the distributive law, which states that equality is always true in elementary algebra. In elementary arithmetic, for example, one has According to one, multiplication distributes over addition.If the term outside the parenthesis is negative when using the distributive property, the sign of each term inside the parentheses will always change.Example can be: -1(27 - 55) = -27 + 55
It is because of the following reason that when we multiply two numbers:
(positive number (+)) × (positive number (+)) = (positive number (+))(positive number (+)) × (negative number (-)) = (negative number (-))(negative number (-)) × (positive number (+)) = (negative number (-))(negative number (-)) × (negative number (-)) = (positive number (+))Therefore, the statement "when using the distributive property, if the term outside the parentheses is negative, then the sign of each term inside the parentheses will change" is Always TRUE.
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The complete question is given below;
Determine whether the following statement is always, sometimes, or never true. Explain your reasoning. When using the distributive property, if the term outside the parentheses is negative, then the sign of each term inside the parentheses will change.
Which set of numbers are imaginary numbers?
Answer:
the third option contains imaginary numbers
Step-by-step explanation:
Imaginary numbers are the numbers when squared it gives the negative result. In other words, imaginary numbers are defined as the square root of the negative numbers where it does not have a definite value. It is mostly written in the form of real numbers multiplied by the imaginary unit called “i”. so we can express them as follows; √-2 = √-1 × √2 = √2 i.... √-1 = i
√-9 = √-1 × √9 = 3i
Claire mowed 5 lawns last week. She mowed each lawn in seven eighteenths hour. She mowed the same lawns this week in five eighteenths hour each using her new lawn mower. How many times longer was Claire’s time to mow all the lawns
The arithmetic mean of two terms in an arithmetic sequence is -6 . One term is -20 . Find the other term.
The other term is +8.
How to find the other term?A recursive formula is one that defines each term in a sequence by reference to the one before it. The following parameters are defined using the recursive formules:
1. The initial term in the series.
2. The general rule for determining any term from its preceding term.
Formula for the Arithmetic Mean
The ratio of the sum of the items to the total number of items is the arithmetic mean, which is the simplest way to measure central tendency.It is regarded as the most accurate way to measure central tendency. The distribution of the data and the intended use of the data both influence the average that is chosen.
[tex]arithmetic \: mean = \frac{a1 + a2 + a3 + a4 + a5 + .........an}{n} [/tex]
given that
The arithmetic mean of two terms in an arithmetic sequence is -6.One term is -20 .
now, find the other term
[tex]arithmetic \: mean = \frac{a + b}{ 2} [/tex]
[tex] - 6 = \frac{( - 20) + b}{2} [/tex]
[tex]2 \times - 6 = - 20 + b[/tex]
[tex] - 12 + 20 = b[/tex]
[tex]b = 8[/tex]
Hence,the other term is +8.
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Multiply Which equation is the best choice
Answer:
second option
Step-by-step explanation:
(2 [tex]\frac{4}{5}[/tex] )( - 5 [tex]\frac{2}{3}[/tex] ) ← convert mixed numbers to improper fractions
= [tex]\frac{14}{5}[/tex] × - [tex]\frac{17}{3}[/tex]
= - [tex]\frac{14(17)}{5(3)}[/tex]
= - [tex]\frac{238}{15}[/tex]
= - 15 [tex]\frac{13}{15}[/tex]
