The simplified form of the expression [tex](3x^2+4x+2)-(7x^2+2x+5)[/tex] is [tex]-4x^2+2x-3[/tex].
In the given question,
The given expression is [tex](3x^2+4x+2)-(7x^2+2x+5)[/tex].
We have to solve the given expression.
To solve this question we use have to follow some rule.
Some Rules are
We have to remove parentheses from each side of the equation and combine similar phrases to make it simpler. To separate the variable term on one side of the equation, use addition or subtraction.To find the variable, use division or multiplication.In this given question to solve the expression we firstly solve the bracket.
When we multiply the term under the bracket with minus sign then all sign under the bracket will also be changed
Now simplifying the expression.
[tex]=3x^2+4x+2-7x^2-2x-5[/tex]
Now we combine the similar term.
[tex]=(3x^2-7x^2)+(4x-2x)+(2-5)[/tex]
[tex]=-4x^2+2x-3[/tex]
Hence, the simplified form of the expression [tex](3x^2+4x+2)-(7x^2+2x+5)[/tex] is [tex]-4x^2+2x-3[/tex].
To learn more about to solve the equation link is here
https://brainly.com/question/12868965
#SPJ1
The area of the arctic ocean is about 5 millon square miles. this is about 16% of the area of which ocean pacific 64 million square miles or indian 25 million square miles
The answer of this question is Indian Ocean
It is the Arctic Ocean.
18% of the Indian Ocean's surface, and the size of 12% of the Atlantic Ocean.
These two oceans are the closest to the Arctic Ocean in terms of size. It depends on whose answers are listed in the table because they are both close to the 16% mark. The closest is the Indian.
Of the five major oceans in the globe, the Arctic Ocean is the smallest and shallowest. It is regarded as the coldest ocean and covers an area of roughly 14,060,000 km2 (5,430,000 sq mi). Despite some oceanographers referring to it as the Arctic Mediterranean Sea, the International Hydrographic Organization (IHO) classifies it as an ocean. Approximately, it has been compared to an estuary of the Atlantic Ocean. In addition, It's been analogized to roughly an estuary of the Atlantic Ocean.
To learn more about Atlantic Ocean click here:
brainly.com/question/543870
#SPJ4
WILL GIVE BRAINLIEST!!! solve the problem fill in the blanks to show your work
By performing mathematical operations, the answer to the given expression (- 1.2(2/5) ÷ -2) is 0.24.
What are mathematical operations?An operation is a function in mathematics that transforms zero or more input values into a clearly defined output value. The operation's arity is determined by the number of operands. The four mathematical operations are functions that take input values, or numbers, and turn them into output values, or yet another number. They are multiplication, division, addition, and subtraction.So, the values in the blank will be:
= - 1.2(2/5) ÷ -2= -1.2(0.4) ÷ -2= - 0.48 ÷ -2= 0.24Therefore, by performing mathematical operations, the answer to the given expression (- 1.2(2/5) ÷ -2) is 0.24.
Know more about mathematical operations here:
https://brainly.com/question/28937023
#SPJ13
please answer also this will give u 100 points
Answer:
Step-by-step explanation:
Slope is gradient which is, change in y
change in x
so, on the graph, change in y = 10-2.5 = 7.5
change in x = 5-0 =5
so, gradient is, 7.5/5
= 3/2
what 15/60 as a decimal?
Answer:
0.25 (1/4 as a fraction)
Step-by-step explanation:
what 15/60 as a decimal?
Fraction is a division, 15/60 is the same as 15 : 60so
15 : 60 =
0.25 (1/4 as a fraction)
If h = {(1,5), (-2,6), (4, -3), (6,9)} and
m = {(3,4), (2,-2), (-2,6), (5,8)}, what is (hm) (2)? (See image below)
Answer: [tex](h\circ m)(2) = 6[/tex]
=======================================================
Explanation:
The notation [tex](h \circ m)(2)[/tex] refers to function composition
It's the same as writing [tex]h(m(2))[/tex]
According to
m = {(3,4), (2,-2), (-2,6), (5,8)}
We have m(2) = -2 since x = 2 leads to m(x) = -2
Then the output -2 is treated as the input of the outer function h(x)
Looking through
h = {(1,5), (-2,6), (4, -3), (6,9)}
shows that h(-2) = 6
Therefore, [tex]h(m(2)) = h(-2) = 6, \ \text{ and } \ (h\circ m)(2) = 6[/tex]
Optionally we can write out a table like shown below.
The row highlighted shows the input x = 2 leading to m(x) = -2, which is then plugged into h(x) to get 6 as the final output. Think of it like a chain of dominoes.
I'll give brainliest
6. A calculator screen shows the following numbers in Scientific Notation. Rewrite the numbers in proper Scientific Notation and then in Standard Form:
a) 3.6E-5
proper scientific notation: 3.6 x 10⁻⁵
standard form: 0.000036
Identify the degree and leading coefficient of the given power function
In a equation as above:
a is the leading coefficient
n is the degree
For the given equation:
[tex]-2x^2[/tex]The coefficient is: -2The degree is: 2Solve the equation. (Enter your answers as a comma-separated list.)x210x − 6x10x = 27(10x)x =
Answer:
x = -3, 9
Explanation:
First, let us divide both sides of the equation by 10^x; this gives,
[tex]\frac{x^210^x-6x\times10^x}{10^x}=\frac{27\times10^x}{10^x}[/tex][tex]\Rightarrow x^2-6x=27[/tex]subtracting 27 from both sides gives
[tex]x^2-6x-27=0[/tex]The left-hand side can be factored as
[tex](x-9)(x+3)=0[/tex]which gives us two further equations
[tex]\begin{gathered} x-9=0 \\ \boxed{x=9.} \end{gathered}[/tex][tex]\begin{gathered} x+3=0 \\ \Rightarrow\boxed{x=-3.} \end{gathered}[/tex]Hence, the two solutions we get are x = 9 and x = -3.
What is the slope of a line perpendicular to the line whose equation is 3x+18y=108. Fully simplify
The slope of the line which is perpendicular to the given line 3x+18y=108 is (6).
What is the slope?The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.
We already know the equation of a line in slope intercept form y = mx + b and we also know that perpendicular lines that have slopes which are negative reciprocals of each other.
Given a line 13x + 18y=108, this slope intercept form can be written as,
3x + 18y = 108
18y = 108 - 3x
y = (108 /18) - (3/18)x.
y = (6) - 1x/6.
y = -(1/6)x + 6.
∴ The slope of the given line is (-1/6), thus the slope of the line which is perpendicular is (6).
learn more about slope here :
brainly.com/question/3605446
#SPJ1
given the domain {-2,2,4} what is the range for relation 3x+y=3a (-9,3,9)b (9,-3,-9)c (-3,9,15)d (0,5,7)
the relation is 3x + y = 3
so,
y = 3x - 3
the domain is the values of x
so, substitute with each value of {-2,2,4} at the last equation of y
when x = -2 , y = 3*-2 - 3 = -6 - 3 = -9
when x = 2 , y = 3 * 2 - 3 = 6 - 3 = 3
when x = 4 , y = 3 * 4 - 3 = 12 - 3 = 9
so, the range will be {-9 , 3 , 9}
The correct answer is option a. (-9,3,9)x
Write a multiplication problem with two fractions that has a simplified product of 4/5.
A problem that consists of the multiplication of two fractions, and in which the simplified product is 4/5 is presented as follows;
[tex] \displaystyle {\frac{14}{15} \times \frac{6}{7} = \frac{4}{5} }[/tex]
What is a fraction in mathematics?A fraction consists of a number that is expressed as a quotient, such that the numerator is being divided by the value in the denominator.
The multiplication problem with two fractions that ha a simplified product of 4/5 is found as follows;
let the fractions be [tex] \displaystyle \frac{a}{b} [/tex] and [tex] \displaystyle \frac{c}{d} [/tex]
The multiplication product is therefore;
[tex] \displaystyle \frac{a}{b} \times \frac{c}{d} = \frac{a \cdot c}{b\cdot d} = \frac{4}{5}[/tex]
The lowest common multiple of a and c is 4, while the lowest common multiple of b and d is 5
Taking b as 15, and a as 14 and c as 6, while d is taken as 7, such that we have;
[tex] \displaystyle {\frac{14}{15} \times \frac{6}{7} =\frac{2 \times 7}{5 \times 3} \times \frac{2 \times 3}{7} = \frac{2 \times 2}{5 \times 1} =\frac{4}{5} }[/tex]
The multiplication problem is therefore;
[tex] \displaystyle {\frac{14}{15} \times \frac{6}{7} = \frac{4}{5} }[/tex]
Learn more about lowest common multiples of numbers shere:
https://brainly.com/question/28109219
#SPJ1
The surface area S(r) in square units of a cylinder with a volume of 18 cubic units is a function of its radius r in
units where S(r) = 2rr²+36. What is the surface area of a cylinder with a volume of 18 cubic units and a
radius of 3 units
The surface area of a cylinder with a volume of 18 cubic units and a radius of 3 units is 68.52 units².
How to calculate the surface area?The volume of a cylinder is calculated as:
= πr²h
In this case, the volume is given as 18 units³. The computed height is 0.637 units.
The surface area will be:
= 2πr² + 2πrh
= 2(3.14 × 3²) + (2 × 3.14 × 3 × 0.637)
= 56.52 + 12
= 68.52 units²
Learn more about area on:
brainly.com/question/25292087
#SPJ1
Rewrite one fourteenth times x cubed times y plus three fourteenths times x times y squared using a common factor.
The expression which can be rewritten using a common factor is [tex]\frac{xy}{14} (x^{2} +3y)[/tex].
According to the question,
We have the following information:
One fourteenth times x cubed times y plus three fourteenths times x times y squared.
(We know that 'times' has to be replaced with multiplication.)
Now, we will change this into mathematical expression:
[tex]\frac{x^{3} y}{14} +\frac{3xy^{2} }{14}[/tex]
Now, from these two terms, the common factor can be [tex]\frac{xy}{14}[/tex].
(Common factor means that the number and the variables taken as a common factor should be able to completely divide the terms given any expression.)
Now, taking it as a common factor, we have the following expression:
[tex]\frac{xy}{14} (x^{2} +3y)[/tex]
Hence, the required expression is [tex]\frac{xy}{14} (x^{2} +3y)[/tex].
To know more about factor here
https://brainly.com/question/24182713
#SPJ1
factor this polynomial completely[tex]10 {x}^{2} - 11x + 3[/tex]
Given:
There are given the equation:
[tex]10x^2-11x+3=0[/tex]Explanation:
According to the question:
we need to find the factor of the given equation:
So,
From the equation:
[tex]\begin{gathered} 10x^{2}-11x+3=0 \\ 10x^2-6x-5x+3=0 \\ (2x-1)(5x-3)=0 \end{gathered}[/tex]Final answer:
Hence, the factor of the given equation is shown below:
[tex](2x-1)(5x-3)=0[/tex]In this triangle AB = (2x-1) and BC = (9-x) and Ac = (x-3) Find with proof the perimeter of Triangle ABC
The perimeter of the triangle ABC is 2x + 5
How to determine the perimeterThe formula for determining the perimeter of a triangle is expressed as;
Perimeter = a + b + c
Where;
a is the length of one side(hypotenuse)b is the length of the adjacent sidec is the length of the opposite sideFrom the information given, we have that;
AB = (2x-1) BC = (9-x) AC = (x-3Substitute the values, we have;
Perimeter = 2x - 1 + 9 - x + x - 3
collect like terms
Perimeter = 2x - x + x - 1 + 9 - 3
add or subtract like terms
Perimeter = 2x + 5
The expression for the perimeter is 2x + 5
Hence, the perimeter is 2x + 5
Learn more about perimeter here:
https://brainly.com/question/17297081
#SPJ1
A square has approximately 300 square feet . The length of each side of the square is between which two whole numbers?
Area = 300 ft^2
Formula
Area = length of a side x length of a side
Substitution
300 = length of a side ^2
[tex]\sqrt{300}[/tex][tex]\sqrt{300}\text{ = 17.32}[/tex]The length of a side is between 17 and 18
Answer:
The length of the side of the square is approximately [tex]17.32[/tex] feet, which lies between the whole numbers [tex]17[/tex] and [tex]18[/tex].
Step-by-step explanation:
Step 1: Assume your variable
Since all the sides of a square are the same, let's consider the side to be the variable: [tex]x[/tex].
Step 2: Create an equation
The formula for the area of a square is:
[tex]\text{Area}=\text{Side}^{2}[/tex]
We have assumed the side to be [tex]x[/tex], and the area is said to be [tex]300[/tex], so substitute these values into the formula:
[tex]\text{Area}=\text{Side}^{2}\\300=x^{2}[/tex]
Step 3: Solve the equation
Using the formula for the area of a square, we came to find an equation:
[tex]x^{2}=300[/tex]
Now, let's find the value of [tex]x[/tex]:
[tex]x^{2}=300\\\\\text{Square root both sides of the equation:}\\\sqrt{x^{2}}=\sqrt{300}\\\\\text{Simplify:}\\x=\sqrt{300}\\\\\text{Calculate:}\\x\approx 17.32[/tex]
The length of the side of the square is approximately [tex]17.32[/tex] feet.
As we know, this number lies between [tex]17[/tex] and [tex]18[/tex].
2(5+x)-1=3x+9splve for x
2(5 + X) - 1 = 3X + 9
Step 1: Expand the terms in the bracket
=> 2 x 5 + 2 x X - 1 = 3X + 9
=> 10 + 2X - 1 = 3X + 9
Step 2: collect like terms
=> 2X - 3X = -10 + 1 + 9
=> -X = 0
Multiply by applying the commutative and/or associative property. (−310)(4.2)(−100) What is the product?
The product of the given expression is 1,30,200.
Given expression:-
(−310)(4.2)(−100)
We have to find the solution of the given expression by using either the commutative property or the associative property.
We will use the associative property of multiplication to find the product.
(−310)(4.2)(−100) = (-310)*(4.2*(-100)) = (-310)*(-420) = 1,30,200
Associative property
The associative property is a property of some binary operations, which means that rearranging the parentheses in an expression will not change the result.
Hence,
(a*b)*c = a*(b*c) , where a, b and, c are real numbers.
Commutative property
Commutative property In mathematics, a binary operation is commutative if changing the order of the operands does not change the result.
To learn more about associative property, here:-
https://brainly.com/question/5637942
#SPJ1
What are some organizations in the college Edward waters university?
Organizations in College Edward Waters University include
Accounting ClubEconomics ClubDelta Sigma Pi, Theta Omega ChapterGraduate Business Student Association (GBSA)Hilltop American Marketing AssociationWhere is the college Edward waters university?College Edward waters university was the first independent higher institution and black college located in Florida state of the United States of America.
The institution was found in 1866 in Jacksonville, Florida. It is owned by African Methodist Episcopal Church which is a Christian denomination.
Organizations refers to arrangement where people come together for a defined purpose. Organizations so exist in this high institution of learning
Delta Sigma Pi, Theta Omega Chapter is one of the organizations in this institution. The purpose of this organization is aid students in studying business in several ways and financial aids is one of them.
Learn more about organizations at: https://brainly.com/question/25922351
#SPJ1
A store sells 3 T-shirts for 28.14
Answer:
Step-by-step explanation:
1 T shirt = 28.14
There are 2 methods this can be done.
Method `1
Adding 3 times
28.14 + 28.14 + 28.14 = $84.42
Method 2
Multiplying 28.14 by 3
28.14 times 3 = $84.42
Therefore answer is 84.42
Select all of the following equation(s) that are quadratic in form.
A C E
Those are the answers
Answer:
A- x4 – 6x2 – 27 = 0D- 6(2x + 4)2 = (2x + 4) + 2E- 6x4 = -x2 + 5Step-by-step explanation:
3 points
Simplify the following expression
I WILL USE THE LAWS OF EXPONENTS
[tex] {x}^{n} \times {x}^{m} \\ = {x}^{n + m} [/tex]
AND
[tex] \frac{{x}^{n}}{ {x}^{m} } \\ = {x}^{n - m} [/tex]
[tex] \frac{3 {x}^{ - 2 + 5} }{ {x}^{8} } \\ = \frac{3 {x}^{3} }{ {x}^{8} } \\ = 3 {x}^{3 - 8} \\ = 3 {x}^{ - 5} [/tex]
ATTACHED IS THE SOLUTION.
Answer:
i hope this one is good for you
8. Find the polynomial function of degree 3 for the given conditions I.f(1) = 32 and x-2, x-3,x+1 are factors of the polynomial II.f(3) = -24 and 5,2,4 are zeros of the polynomial
Part I
In factored form, [tex]f(x)=a(x-2)(x-3)(x+1)[/tex]. Substituting x=1,
[tex]f(1)=32=a(1-2)(1-3)(1+1)\\\\\implies 32=4a\\\\a=8\\\\\therefore f(x)=8(x-2)(x-3)(x+1)[/tex]
Part II
In factored form, [tex]f(x)=a(x-5)(x-2)(x-4)[/tex]. Substituting x=3,
[tex]f(3)=-24=a(3-5)(3-2)(3-4)\\\\\implies 24=2a\\\\a=12\\\\\therefore f(x)=12(x-5)(x-2)(x-4)[/tex]
shipping company A charges a flat fee of $7 plus $0.50 for each pound shipping company B charges a flat fee of $11 plus $0.25 for each pound
The number of pounds when company A and B have same amount is 16 pounds.
What is an equation?A mathematical equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe a scenario.
In this case, shipping company A charges a flat fee of $7 plus $0.50 for each pound shipping company B charges a flat fee of $11 plus $0.25 for each pound.
Let each pound be represented by p.
Company A will be 7 + 0.50p
Company B will be 11 + 0.25p
We will equate both equations.
7 + 0.50p = 11 + 0.25p
Collect like terms
0.50p - 0.25p = 11 - 7
0.25p = 4
Divide
p = 4 / 0.25
p = 16
The number of pounds is 16 pounds.
The complete information is given below.
Learn more about equations on:
brainly.com/question/2972832
#SPJ1
shipping company A charges a flat fee of $7 plus $0.50 for each pound shipping company B charges a flat fee of $11 plus $0.25 for each pound. How many pounds will give an equal amount?
The difference between two-fifth of a number and 9 is 7. Find the number.
Answer:
The number is 40.
Step-by-step explanation:
Step 1: Assume your variables
Consider the 'number' to be [tex]x[/tex].
Step 2: Create an equation(s)
The information in the question states that the difference between [tex]\frac{2}{5}[/tex] of [tex]x[/tex] and [tex]9[/tex], is [tex]7[/tex].
Representing this mathematically gives us:
[tex](\frac{2}{5}\times x) -9=7[/tex]
Step 3: Solve the equation
The equation we have is:
[tex](\frac{2}{5}\times x) -9=7[/tex]
So, let's solve it:
[tex](\frac{2}{5}\times x) -9=7\\\\\text{Add 9 to both sides:}\\(\frac{2}{5}\times x) -9+9=7+9\\\\\text{Simplify:}\\(\frac{2}{5}\times x)=16\\\\\text{Multiply by}~\frac{5}{2}~\text{on both sides:}\\\frac{5}{2}\times\frac{2}{5}\times x=16\times \frac{5}{2}\\\\\text{Simplify:}\\1\times x=\frac{80}{2}\\\\\text{Calculate:}\\x=40[/tex]
help me plssssssssssssss
Answer:)0.3 I Think
Step-by-step explanation:
1.8/6
The answer is:
10.8 cm
Explanation:
6 × 1.8 = 10.8
- firstly, remove the decimal point
- Secondly, multiply regularly 6 by 18
- You'll get 108 as an answer
- Take back the decimal point one to the left because you took it one to the right before, so you will have to do the inverse of the previous action
Good luck
Which line on the xy-plane has a positive slope?
Line 1
Line 2
Line 3
Line 4
Please only answer with the options provided
Line 2 has a positive slope with respect to the angle made with the x-axis.
What is the slope?Slope refers to the tan of the angle with the x-axis. For example. if the line makes an angle β with the x-axis, then the slope is the tan β.
Now taking line 1,
The line is parallel to the x-axis, therefore the line makes 0 angles with the axis which gives slope 0.
Now taking line 2,
The line passes to the origin and has the equation x=y, thus the slope is 1
Now taking line 3,
The line is parallel to the y-axis, therefore the line makes 90°, thus the slope is 1/0 which gives infinity.
Now taking line 4,
The line is making an angle of 60°, therefore the line is having a slope: - [tex]\sqrt{3}[/tex]
Hence considering the above values, line 2 has a positive slope only.
To know more about slopes, visit:
https://brainly.com/question/3605446
#SPJ13
Each square on a grid represents 1 unit on each side. Match the numbers with the slopes of the lines.
50 POINTS + BRAINLY FOR CORRECT ANSWER!!!
Answer
Graph 1 = 1/3 slope
Graph 2 = -1/3 slope
Graph 3 = 3 slope
Graph 4 = -3 slope
I found these by counting rise over run,
or y/x to points on the line that cross the x or y axis.
The graphs that have a line that go up from left to right are positive slopes
The graphs that have a line that go down from left to right are negative slopes
Problems solved!
I need this answered please
Answer:
240 copies of the standard version.
Step-by-step explanation:
See attached worksheet.
Bonus: Since 240 standard copies were downloaded, we know that 3 times that number is the number of high quality versions downloaded.
Copies Size(MB) Total MB
Standard 240 2.6 624
High 720 4.4 3168
Total (MB) 3792 {This matches the data]
is the ordered pair (-8 1) a solution to the equation y=1/2x-3
No, the ordered pair (-8,1) is not a solution to the equation y=(1/2)x-3.
In the question ,
an equation y=(1/2)x-3 is given ,
if the ordered pair (-8,1) is a solution of the equation , then it should satisfy the equation .
Substituting x=-8 and y=1 in the equation y=(1/2)x-3 , we get
y=(1/2)x-3
1 = (1/2)(-8) -3
1 = -8/2 -3
1 = -4-3
1 ≠ -7
Since 1≠7 , the ordered pair (-8,1) is not a solution to the equation y=(1/2)x-3 .
Therefore , No , the ordered pair (-8,1) is not a solution to the equation y=(1/2)x-3.
The given question is incomplete , the complete question is
Is the ordered pair (-8,1) a solution to the equation y=1/2x-3 ?
Learn more about Equations here
https://brainly.com/question/7744665
#SPJ1