Answer:
A)What is the product of 2x -5 and 3x^2 + 5x - 7? Write your answer in standard form.
6x³ - 5x² - 39x + 35 = 0
B. Is the product of 2x -5 and 3x^2 + 5x -7 equal to the product of 5x - 2 and 3x^2 + 5x - 7?
No it is not.
Step-by-step explanation:
A)What is the product of 2x -5 and 3x^2 + 5x - 7? Write your answer in standard form.
(2x - 5) (3x² + 5x - 7)
= 2x(3x² + 5x - 7) -5(3x² + 5x - 7)
= 6x³ + 10x² - 14x -15x² - 25x +35
Collecting like terms
= 6x³ +10x² - 15x² - 14x - 25x +35
= 6x³ - 5x² - 39x + 35
In standard form
6x³ - 5x² - 39x + 35 = 0
B. Is the product of 2x -5 and 3x^2 + 5x -7 equal to the product of 5x - 2 and 3x^2 + 5x - 7?
First we find the product of
5x - 2 and 3x² + 5x - 7?
(5x - 2) (3x² + 5x - 7)
5x(3x² + 5x - 7) -2(3x² + 5x - 7)
15x³ + 25x² - 35x - 6x² -10x + 14
Collect like terms
15x³+ 25x² - 6x² -35x - 10x + 14
15x³ + 19x² - 45x + 14 = 0
Hence, the product of 5x - 2 and 3x^2 + 5x - 7
= 15x³ + 19x² - 45x + 14 = 0
The product of 2x -5 and 3x^2 + 5x -7 = 6x³ - 5x² - 39x + 35 = 0
Comparing both products, we can see that
The product of 2x -5 and 3x^2 + 5x -7 ≠ the product of 5x - 2 and 3x^2 + 5x - 7
simplify 14+ 18/2 * 18-7
Answer:
the solution is 169
Step-by-step explanation:
Answer:
169
Step-by-step explanation:
14 +18/2 x 18-7
14+9 x 18-7
14+162-7
169
Maria found the least common multiple of 6 and 15. Her work is shown below.
Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, . . .
Multiples of 15: 15, 30, 45, 60, . . .
The least common multiple is 60.
What is Maria’s error?
the answer is IDK
Answer:
The Least Common Multiple is 3
Step-by-step explanation:
Maria's error was that she tried finding the largest multiple rather than the least.
Answer:
Step-by-step explanation:
Maria's error on this is the LCM is 30 not 60
the least is 30 not 60
I need help with this problem
Answer:
w= 12
Step-by-step explanation:
2w=24
divide both sides by 2
2w÷2. 24÷2
2w÷2 cancels each other so solve 24÷2
w= 12
Traveling at 40 miles per hour, how many minutes, rounded to the nearest whole number, does it take to drive 240 miles from Orlando to Miami?
DIRECTIONS: EACH NUMBER IF 4 less than 3 TIMES THE PREVIOUS NUMBER.
Starting with the number 1, build a sequence of 5 numbers
Answer:
1, -1, -7, -25, -79
Step-by-step explanation:
n * 3 - 4
Since negative numbers multiplied with positive numbers make negative numbers, it decreases this time.
The sequence of 5 numbers for the given rule and inital number will be {1, -1, - 7, -25, -79}
What is arithmetic sequence?An arithmetic sequence is sequence of integers with its adjacent terms differing with one common difference.
If the initial term of a sequence is 'a' and the common difference is of 'd', then we have the arithmetic sequence as:
a, a + d, a + 2d, ... , a + (n+1)d, ...
Its nth term is
T_n = a + (n-1)d
(for all positive integer values of n)
Now we will use this formula to build the sequence;
A). Starting with the number 1, build a sequence of 5 numbers
n₂ = 3*(1) - 4 = -1
The third number will be:
n₃ = 3*(-1) - 4 = -3 - 4 = -7
The fourth number will be:
n₄ = 3*(-7) - 4 = -21 - 4 = -25
The fifth number will be:
n₅ = 3*(-25) - 4 = -79
Therefore, The sequence of 5 numbers for the given rule and inital number will be {1, -1, - 7, -25, -79}
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What is 6.92 x 10^ -3 written in standard form ?
Answer:
6.92 x 1,000= 6,920
Step-by-step explanation: Hope this helps
RS = 5x, ST = 3x, and RT = 48
What is RS?
Answer:
draw line and name it as R, S and T
then,
RS= 5x
ST=3x.... label it
now,
5x+3x=48
8x=48
x=6
RS=5x6=30
Step-by-step explanation:
RS Means is a division of Reed Business Information that provides cost information to the construction industry so contractors in the industry can provide accurate estimates and projections for their project costs.
The length of RS is 6 units.
It is required to find the length of RS.
What is line?A line is a straight one-dimensional figure having no thickness and extending infinitely in both directions. A line is made of a set of points which is extended in opposite directions infinitely. It is determined by two points in a two-dimensional plane. The two points which lie on the same line are said to be collinear points.
Given:
RS= 5x
ST=3x
RT = 48
now,
RS+ST=RT
Substitute the value we get,
5x+3x=48
8x=48
x=6
RS=5x6
RS=30
Therefore, the length of RS is 6 units.
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helpppppp meeeee pleaseeeee
Answer:
B) -2 degrees
Step-by-step explanation:
If the temperature went down 10 degrees the equation you need to use is 8-10=x.
Once simplified/solved you will get -2
-2
In the morning it was 8 degrees celsius, and in the night it was 10 degrees lower. You are trying to find a number that's 10 degrees lower than 8. So you would do:
8-10
That would result in -2
How does this graph change between (2.5, 2) and (4.5, 0.25)
Answer:
Decreases
Step-by-step explanation:
Answer:
decreases
Step-by-step explanation:
I just did the assignment!
Which choices are equivalent?
Answer:
Solution:
Given expression is .
Option A:
Hence is equivalent expression of .
Option B:
Hence is not equivalent expression of .
Option C:
(proved in option A)
Hence is equivalent expression of .
Option D:
Hence is not equivalent expression of .
Option E: 75
75 is a whole number.
Hence 75 is not equivalent expression of .
Option F:
(proved in option A)
Hence is equivalent expression of .
Therefore, are all equivalent expressions of .
Step-by-step explanation:
A dekameter is best suited for measuring which distance?
Answer:
ten metres (please mark brainliest)
Step-by-step explanation:
A decametre (International spelling as used by the International Bureau of Weights and Measures), with American spelling dekameter or decameter,), symbol dam ("da" for the SI prefix deca-, "m" for the SI unit metre), is a unit of length in the International (metric) System of Units equal to ten metres.
solve the equation 8x-2(x+1)=2(3x-1)
Answer:
All that equals 0.
(Both sides are equal)
x^3 = 125/27 simplify. a. 25/9 b. +- 25/9 c. 5/3 d+- 5/3
Answer:
C
Step-by-step explanation:
Step-by-step explanation:
x/3=125/27
x=125×1/27×3
Reflect on the concept of polynomial and rational functions. What concepts (only the names) did you need to accommodate these concepts in your mind? What are the simplest polynomial and rational function you can imagine? In your day to day, is there any occurring fact that can be interpreted as polynomial and rational functions? What strategy are you using to get the graph of polynomial and rational functions?
Answer:
Given below
Step-by-step explanation:
A rational function is a function containing rational numbers.
It can be an algebraic function in which both the numerator and denominators can be polynomials.
Any number which can be expressed in the form of a fraction p/q where p and q are integers and q is not equal to zero is called a rational number. Positive integers, negative integers ,zeros and common fractions belong to the system of rational numbers. P can be equal to zero.
A polynomial function is a function consisting of polynomials. A polynomial is an algebraic expression consisting of one or more terms in each of which the exponent of the variable is zero or positive integer. Thus 2,3x, x²+ 3x-4 etc are polynomials.
A polynomial consisting of a single term is monomial e.g, 2, 3x , xy
A polynomial consisting of two terms is binomial e.g, 2+3x , xy- 5z etc.
A polynomial consisting of three terms is trinomial e.g, 2+3x +xy
Terms containing the same variable and same corresponding exponents are known as like terms.
Terms having different variables or same variable but different exponents are called unlike terms.
Polynomials are used to sketch curves or daily life problems.
To sketch the graphs first we find the intercepts, then the vertical asymptotes and the horizontal asymptote, by solving.
The vertical asymptotes divide the number line into regions after which the graph is sketched.
The first thing that comes to the mind is the form of p/q for rational functions and algebraic expressions for the polynomial functions.
The fundamental difference between the graphs of the polynomial function and rational function is that the graph of the polynomial function is continuous in nature while the graph of the rational function is discontinuous in nature as the denominator will be zero at some point.
The strategy are using to get graph of polynomial and rational function given below.
Polynomial is an expression comprising variables and coefficients.
The rational expression is fractions involving polynomials
Polynomial: A polynomial is an expression consisting of variables (also called indeterminates) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables.
An example of a polynomial of a single indeterminate, x, is x² − 4x + 7
Polynomial Function : A polynomial function is a function which involves only non-negative integer powers or only positive integer exponents of a variable in an equation like the quadratic equation, cubic equation
Rational: The definition of rational is something that makes sense or that could be based in fact or someone who behaves and thinks logically.
Rational Function: A rational function is any function which can be defined by a rational fraction, i.e. an algebraic fraction such that both the numerator and the denominator are polynomials. The coefficients of the polynomials need not be rational numbers; they may be taken in any field K.
Polynomials are used to describe curves of various types, people use them in the real world to graph curves. For example, roller coaster designers may use polynomials to describe the curves in their rides.
Process for Graphing a Rational Function and Polynomials given below.
Find the intercepts, if there are anyFind the vertical asymptotes by setting the denominator equal to zero and solving. Find the horizontal asymptote, if it exists, using the fact above.The vertical asymptotes will divide the number line into regions.Sketch the graph.The fundamental difference between the graphs of the polynomial function and rational function is that the graph of the polynomial function is continuous in nature while the graph of the rational function is discontinuous in nature as the denominator will be zero at some point.
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Write the equation of the line that passes through the point (-2, 4) and has a slope of -1.
y = -1x + 2
Put the points in the slope equation to find (-1 as m, -2 as x, and 4 as y)
y = mx + b
4 = -1(-2) + b
4 = 2 + b
4 - 2 = b
2 = b
Final equation: y = -1x + 2
ײ⅖ idkk
My teacher jst put this
Answer:
the answer is x 12/5
Step-by-step explanation:
uh- i'm having quite a bit of trouble solving this one. "If Bella's total is $82, and she spends $56.70 on confetti for a party, (i know, wack stuff there.)-- and $24.40 on food for the party, how much will she have left over for deserts?"
Answer:
.9
Step-by-step explanation:
just subtract 56.7 from 82 and that difference by 24.4
Answer:
$0.90
Step-by-step explanation:
She starts with $82 and you subtract the $56.70 spent on confetti, and subtract $24.40 she spent on food.
$82.00 - $56.70 - $24.40 = $.90
She only has 90cents ($.90) to spend on deserts
Ken predicts that the average temperature will be −5°C in December. If he predicts the temperature will rise 6°C in January and fall 3°C in February, which of the following equations can he use to find the sum of the temperatures for those months? Check all that apply. [6 + 3] + 5 = 14 (–5) + [3 + 6] = –4 [(–5) + (–3)] + 6 = –2 5 + [(–6) + (–3)] = –4 [6 + (–5)] + (–3) = –2 [(–5) + 6 ] + (–3) = 4
Answer:
The equations [(-5) + (-3)] + 6 = -2 and [6 + (-5)] + (-3) = -2 he can use to find the sum of the temperatures for those months ⇒ 3rd , 5th
Step-by-step explanation:
i took the assignment
Answer:
C E
Step-by-step explanation:
Find the value of sin Z
Answer:
15/17
Step-by-step explanation:
Since this is a right triangle,
sin theta = opp/ hypotenuse
sin Z = 15/17
I NEED THIS ASAP please. can someone please answer this question i put the picture its on Simplify Expressions im giving 15 points I will give bar i will give brainlist
Answer:
in step 4
Step-by-step explanation:
we have
[tex]0.5(-12c+6)-3(c+4)+10(c-5)\\\\step1=-12c(0.5)+6(0.5)-3(c+4)+10(c-5)\\\\=-6c+3-3(c+4)+10(c-5)\\\\[/tex]
so step 1 is correct
step 2
[tex]-6c+3-3(c+4)+10(c-5)\\\\=-6c+3+c(-3)+4(-3)+10(c-5)\\\\=-6c+3-3c-12+10(c-5)[/tex]
so step 2 is correct
step 3
[tex]-6c+3-3c-12+10(c-5)\\\\=-6c+3-3c-12+c(10)-5(10)\\\\=-6c+3-3c-12+10c-50[/tex]
so step 3 is correct
step 4
[tex]-6c+3-3c-12+10c-50\\\\=(-6c-3c+10c)+(3-12-50)\\\\=(-6-3+10)c+(-9-50)\\\\=(-9+10)c-59\\\\=c-59[/tex]
so step 4 is incorrect
PLEASE HELP ME OUT M
Answer:
what?
Step-by-step explanation:
Identify the rule for the transformation shown in the
figure that translates triangle ABC into triangle A'B'C'.
(x, y) + (x - 4, y-2)
O (x, y) = (x +4, y-2)
O (x, y) + (x -- 4, y + 2)
(x,y) → (x +4, y + 2)
Answer:
the answer is d
Step-by-step explanation:
i got it right on edge 2021
(x,y) → (x +4, y + 2) is the rule for the transformation shown in the figure that translates triangle ABC into triangle A'B'C'. Therefore, the correct option is option D.
What is mathematical transformation?A transformation in mathematics is a function f which projects a set X to it only, i.e., f: X X. This function typically has some geometrical foundation. Examples include geometric transformations, such as spatial transformations, affine transformations, including particular affine transformations like rotations, reflections, and translations, as well as linear transformations of vector spaces.
Although it is usual to refer to any function of a set within itself as a "transformation," particularly in phrases like "transformation semigroup" or related expressions, there is another type of terminological norm in which the word "transformation" is exclusively used to refer to bijections. (x,y) → (x +4, y + 2) is the rule for the transformation shown in the figure that translates triangle ABC into triangle A'B'C'.
Therefore, the correct option is option D.
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Identify the data set's level of measurement.
Ages of students in a statistic class
The ages of students in a statistic class is classified as a nominal data.
For the given statistics class, the age of the student is Nominal data in nature.
Nominal data are “labeled” data which can be divided into various groups that do not overlap.This type of data ar not measured or evaluated but are categorized into groups. Examples of nominal data include race, sex, age etc.Hence the ages of students in a statistic class is classified as a nominal data.
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Answer:
Question :Identify the data set's level of measurement.
Ages of students in a statistic class.
RatioOrdinalNominal Interval Answer :The ages of students in a statistic class is identify as a nominal data.
Additional Information :
Levels of measurement
There are 4 levels of measurement, which can be ranked from low to high:
Nominal : the data can only be categorized.Ordinal : the data can be categorized and ranked.Interval : the data can be categorized and ranked, and evenly spaced.Ratio : the data can be categorized, ranked, evenly spaced and has a natural zero.round 46.231 to the nearest tenth
Answer:
46.2
Step-by-step explanation:
Because starting from the decimal point, 2 is the tenth, 3 is the hundreth and so on and so forth.
Help me plzzz 100pts
Answer:
Yen, Hana, Tyrell
Step-by-step explanation:
took on edge 2020
what’s the answer please help me I need to get this done
Answer:
45.9 yd^3
Step-by-step explanation:
Volume = ?
h = 6.5
d = 3
[tex]r = \frac{d}{2} \\\\r = \frac{3}{2}[/tex]
[tex]V=\pi r^2h[/tex]
Substitute values into the given equation
[tex]V = 3.14 \times (\frac{3}{2} )^2\:yd \times 6.5\:yd\\\\V =20.41\:yd\times 1.5\:yd\\\\V=45.9225\:yd^3[/tex]
4n − m + 3p + 2m − n − p
Answer:
=4n−m+3p+2m−n−p
=4n-n-m+2m+3p-p
=3n+1m+2p is the answer
Step-by-step explanation:
hope it help ^_^
X/10 > 3 solution to the inequality
Djduhdbevzhzjsvvsyshavahsysjsjsj
When 40% of a number is added to the number, the result is 196.
What is the number?
Hey there! I'm happy to help!
Let's call this number n. We can now set up the following equation.
0.4n+n=196
We combine like terms.
1.4n=196
Divide both sides by 1.4
n=140.
Have a wonderful day! :D
What is the supplement of an angle having a measure of 120 degrees?
