Answer:
11x² -3x
Step-by-step explanation:
We have the product of a sum, of two binomials and one of the initial binomials but we'd like to know the other one.
It's very much like A + B = C, and we have both B and C, but looking to find A.
What would you do in the ABC scenario?
You'd isolate A by transforming the equation to: A = C - B
In this case, C = 12x² - 5x and B = x² - 2x...
A = (12x² - 5x) - (x² - 2x) = 12x² - 5x - x² + 2x
A = 11x² -3x
3.) The cube of 1-1/3 is.
A) 1-1/9 B) 1-1/27
© 8/27
D) -8/27
Answer:
3*3*3=27
The answer is B 1 1/27
Step-by-step explanation:
As a formula:
volume = s3
where:
s is the length of any edge of the cube.
Read as "s to the power 3"
Simplify 6P2.
A. 30
B. 15
C. 12
D. 720
could i also have an explanation so i can understand better?
The answer would be A
The solution of ⁶P₂ would be,
⇒ ⁶P₂ = 30
We have to given that,
An expression to solve,
⇒ ⁶P₂
Now, By definition of permutation, we get;
⇒ ⁶P₂
⇒ 6! / (6 - 2)!
⇒ 6! / 4!
⇒ 6 × 5
⇒ 30
Therefore, The solution of ⁶P₂ would be,
⇒ ⁶P₂ = 30
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HELP ASAP! WILL GIVE BRAINLIEST IF YOU GIVE A REASONABLE ANSWER
Maria is comparing the prices of two window cleaning companies. Company A charges $6 per window and an additional $12 as service charges. Company B charges $5 per window and an additional $15 as service charges.
Part A: Write an equation to represent each company's total charges for cleaning a certain number of windows. For both equations (one for Company A and one for Company B), define the variable used.
Part B: Which company would charge less for cleaning 8 windows? Justify your answer.
Part C: How much money is saved by using the services of Company B instead of Company A to clean 6 windows?
Answer:
Step-by-step explanation:
Part A: Company A charges $6 for a window and $12 for a service clean. If you add that up it would be 6 + 12 =18 so company A would be making $18 per customer. Company B charges $15 + $5 for a whole cleaning which would make them $20 per customer. That is better then $18 so business B would be making more money.
Part B: For cleaning 8 windows company B would charge less because 8 x 5 = $40 for all the windows and company A would be charging $6 for a window which is more so 8 x 6 = 48. Company B charges less.
Part C: Company B charges 5 dollars for thier services on windows as Company A charges 6. You would be saving a dollar by buying at company B.
- 5/8 x + 10 for x = -8
answer anyone?
evaluate the expression
Answer:
5
Step-by-step explanation:
Evaluate (5 x)/8 + 10 where x = -8:
(5 x)/8 + 10 = 10 - 8×5/8
5/8 (-8) = (5 (-8))/8:
(-8×5)/8 + 10
(-8)/8 = (8 (-1))/8 = -1:
5×-1 + 10
10 - 5 = 5:
Answer: 5
Find the area of the rhombus.
8 m
8 m
8 m
8 m
The area of the rhombus with diagonals of 8m each is 32 square meters.
The area of a rhombus can be calculated using the formula:
Area = (diagonal1 diagonal2) / 2
Given that the diagonals of the rhombus are 8m and 8m, we can plug these values into the formula:
Area = (8 8) / 2
Area = 64 / 2
Area = 32 square meters
To explain the calculation step by step:
1. Identify the diagonals: In a rhombus, the diagonals are perpendicular bisectors of each other and they bisect each other at right angles. Here, both diagonals are 8m each.
2. Plug into the formula: Substitute the lengths of the diagonals into the formula for the area of a rhombus.
3. Calculate the product: Multiply the lengths of the diagonals together.
4. Divide by 2: Since the formula for the area of a rhombus involves dividing the product of the diagonals by 2, perform this division to find the final answer.
5. Final answer: The area of the rhombus is 32 square meters.
So, the area of the rhombus with diagonals of 8m each is 32 square meters.
Complete question:
Find the area of the rhombus.
8 m
8 m
8 m
8 m
What is 3 In3-In9 expressed as a single natural logarithim
[tex] 3 \ln 3 - \ln 9 = 3 \ln 3 - \ln 3 ^2 = 3 \ln 3 - 2 \ln 3 = \ln 3[/tex]
Answer: [tex]\ln 3[/tex]
Answer:
ln 3
Step-by-step explanation:
Using the rules of logarithms
• log [tex]x^{n}[/tex] ⇔ n logx
• log x - log y = log ([tex]\frac{x}{y}[/tex] )
Given
3 ln3 - ln9, then
= ln 3³ - ln 9
= ln 27 - ln 9
= ln ([tex]\frac{27}{9}[/tex] ) = ln 3
What is the value of x?
Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth.
x =
cm
A scalene triangle G E F. Side E F is labeled as x. Side E G is labeled as 13 centimeters. Angle E is labeled as 40 degrees. Angle G is labeled as 87 degrees.
Answer:
16.3
Step-by-step explanation:
took k12 test
Answer:
16.3
x = 16.3cm
Step-by-step explanation:
I just took the test, and I got 100%!!!
NEED HELP ASAP
What is the value of x? Please explain.
Answer:
x=5
Step-by-step explanation:
We can solve this using the Pythagorean theorem
[tex]13^2-12^2=x^2\\\\x=\sqrt{169-144} \\\\x=\sqrt{25} \\\\x=5[/tex]
It should be 5. You would need to use the Pythagorean theorem, a^2 + b^2 = c^2 to find the length of the missing side. So it would be x^2 + 144=169, which leads to 169-144 = 25. Then you would need to get the square root of 25, which is 5. I hope that helps.
How many solutions does the following system of equations have?
y = x - 2
y = - x + 2
one solution
no solutions
two solutions
infinitely many solutions
The following system of equations has only one solution, which is (2,0), because you can use the method of substitution to find the value of x and if it has multiple solutions.
y = x - 2
y = - x + 2
x - 2 = - x + 2
2x = 4
x = 2 (substituting this back into the equation)
y = 2 - 2
y = 0
NEED HELP URGENTLY!!
how do you solve this?
u can see the solution in pic
if line p is (2x+40)°and line q is (3x-85) what is the value of x
Solve for x: (2x + 40)° = (3x - 85)°. The solution is x = 125.
To find the value of x, you can set the expressions for the angles equal to each other since the two lines are parallel and corresponding angles are equal.
The given angles are:
- Line p: [tex]\(2x + 40\)[/tex] degrees
- Line q: [tex]\(3x - 85\)[/tex] degrees
Set them equal to each other and solve for x:
[tex]\[ 2x + 40 = 3x - 85 \][/tex]
Combine like terms:
[tex]\[ 40 + 85 = 3x - 2x \][/tex]
[tex]\[ 125 = x \][/tex]
So, the value of x is 125 degrees.
The complete question is here:
if line p is (2x+40)°and line q is (3x-85) what is the value of x
The value of ( x ) is [tex]\( 125^\circ \)[/tex].
To find the value of ( x ), we can use the properties of parallel lines cut by a transversal. When two parallel lines are cut by a transversal, alternate interior angles are congruent.
Given:
- Angle [tex]\( 2x + 40^\circ \) and angle \( 3x - 85^\circ \)[/tex] are alternate interior angles.
So, we can set up an equation:
[tex]\[ 2x + 40^\circ = 3x - 85^\circ \][/tex]
Let's solve for ( x ):
[tex]\[ 2x - 3x = -85^\circ - 40^\circ \][/tex]
[tex]\[ -x = -125^\circ \][/tex]
To isolate ( x ), we divide both sides by -1:
[tex]\[ x = \frac{-125^\circ}{-1} \][/tex]
[tex]\[ x = 125^\circ \][/tex]
So, the value of ( x ) is [tex]\( 125^\circ \)[/tex].
complete question given below:
In the diagram, parallel lines P and Q are cut by transversal R.
(2x + 40°
(3x - 85)°
What is the value of x?
a certain project can be completed by 28 men in 90 days. the numbers of men needed varies inversely to the time needed to complete the project. if the contractor wants to complete the project in 72 days how many men does he have to have working?
A. 30 men
B. 270 men
C. 35 men
D. 28 men
ANSWER
C. 35 men
EXPLANATION
Let m represent the number of men needed and d represent the number of days.
From the question,the number of men needed varies inversely to the time needed to complete the project.
We can write the inverse variation equation.
[tex]m = \frac{k}{d} [/tex]
where k is the constant of variation.
When m=28, d =90.
We substitute these values into the variation equation to determine the value of k.
[tex]28 = \frac{k}{90} [/tex]
[tex]k = 90 \times 28[/tex]
[tex]k = 252[/tex]
Now the equation becomes:
[tex]m= \frac{2520}{d} [/tex]
When d=72,
[tex]m = \frac{2520}{72} [/tex]
[tex]m = 35[/tex]
Therefore he needs to have 35 men working.
what is the degree of the monimal -2
Answer:
The degree is zero
Step-by-step explanation:
we know that
The degree of a constant monomial is always zero
so
In this problem we have
-2
The number -2 represent a constant monomial
therefore
The degree is zero
what is the degree of x^6+4x-3
Answer:
6 hopes this helps
Step-by-step explanation:
The degree of the polynomial [tex]x^{6} + 4x - 3[/tex] is 6 .
What is degree of a polynomial ?The degree of a polynomial is the highest power of the variable in a polynomial expression. For any given polynomial function, the degree refers to the highest power of the dependent variable in the given polynomial.
How to find the degree of the given polynomial function ?For the given polynomial function, f(x) = [tex]x^{6} + 4x - 3[/tex] , we have the dependent variable of the function as x .
Thus, degree of the given polynomial, refers to the highest power of x in the polynomial.
As the highest power of x is 6, thus the degree of the polynomial is also 6.
Therefore, the degree of the polynomial [tex]x^{6} + 4x - 3[/tex] is 6 .
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x^16/x^3
a. 16/x^3
b. x^48
c. x^19
d. x^13
[tex]\bf ~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{x^{16}}{x^3}\implies \cfrac{x^{16}}{1}\cdot \cfrac{1}{x^3}\implies x^{16}\cdot x^{-3}\implies x^{16-3}\implies x^{13}[/tex]
Answer:
x^13
Step-by-step explanation:
when you divide variables with exponents you subtract them. So x^16-3 = x^13
At a large university, 15% of students are business majors and 20% are communications majors. If two students are selected at random, what is the probability the first is a communications major and the second is a business major?
Express your answer in decimal form using two decimal places.
Answer:
Probability the first is a communications major and the second is a business major = 0.03
Step-by-step explanation:
let the total number of students be 100
Event A= Business Majors = 15%
Event B = Communication Majors = 20%
P(A) = [tex]\frac{15}{100}[/tex] ⇒ P(A) = 0.15
P(B) = [tex]\frac{20}{100}[/tex] ⇒ P(B) = 0.2
P( A and B) = P(A) × P(B)
= 0.15 × 0.2
= 0.03
Identify the domain for the function !!! 10 points. Help needed!!
The answer is:
The domain for the function is:
Domain:(-∞,-3)∪(-3,∞)
Why?Since we are working with fractions, the only restriction that we will have for the function is when the denominator of the function tends to 0.
We are given the function:
[tex]f(x)=\frac{x^3} +27}{x+3}[/tex]
We have two expressions:
The first expression (numerator) has no restriction, however, we can find a restriction at the second expression (denominator) because when a fraction has a denominator equal to 0, the function does not exist on the real numbers.
For the denominator, we have that it tends to 0 at:
[tex]x=-3[/tex]
So, the domain for the given function will be:
Domain:(-∞,-3)∪(-3,∞)
Hence, the answer is the second option, the domain for the function is:
Domain:(-∞,-3)∪(-3,∞)
Have a nice day!
The perimeter of the rectangle when x = 3 is 22. Which equation can be used to represent the perimeter of the rectangle, P(x)?
P(x) = 2(f ∙ g)(x)
P(x) = (f ∙ g)(x)
P(x) = 2(f + g)(x)
P(x) = (f + g)(x)
Answer:
P(x) = 2(f+g)(x)
Step-by-step explanation:
perimeter of the rectangle = 2( length + width )
A geometric sequence is shown below:
(blank)a0, -11, 22, (blank)a1, 88, -176.
A) What is the common ratio for this geometric sequence?
(blank)a2
B) What are the missing terms in the geometric sequence shown above?
Answer:
i)
-2
ii)
a0 = 5.5
a1 = -44
Step-by-step explanation:
i)
Given a geometric sequence, the common ratio is the ratio between any two adjacent values. In our case we have the following geometric sequence;
a0, -11, 22, a1, 88, -176
To find the common ratio we can simply divide 22 by -11 or divide -176 by 88;
common ratio = 22/(-11) = -2
ii)
To find a0, we use the common ratio;
(-11)/a0 = -2
a0 = (-11)/(-2)
a0 = 5.5
We do the same for a1;
88/a1 = -2
a1 = 88/(-2)
a1 = -44
Which of the following equations describes a relationship of inverse variation between x and y
Answer:
I think its D
Step-by-step explanation:
Forgive me if im wrong.
In the figure, the combined measurement of angles A, E, and K is 127° and angle G measures 90°. What is the measurement of angle B?
A.40°
B.45°
C.53°
D.90°
Answer:
first things first which one is angle B. if would be easier if you labeled them .
Step-by-step explanation:
but any ways see if the image attached can help out
Answer:
b
Step-by-step explanation:
Is the answer is b, please help me
Answer:
A) 47
B) 65
C) 01
Step-by-step explanation:
A stem and Leaf is a unique way of representing data, in which every data value is split into a “stem” and “a leaf” . The “Stem” is the first Digit of the number and The “Leaf” is the second digit of the data value.
As we seen in the Key provided to us at the foot of the page, 6│3 represent 63,also
6│0 3 4 represents : 60,63,64
0│1 5 8 represents : 01,05,08
Using this rule we expands the data given to us and answer the questions given to us.
A) Number of people represented in data
0│1 1 2 2 3 4 4 4 4 5 8 = 01 01 02 02 03 04 04 04 04 05 08 = 11 Entries
In the same way , we count the other data and see that
Total number of data values are : 11+8+8+9+4+5+2= 47
B) The range of the Data: It the Difference of the largest Data value and the Lowest Data Value
Largest Data Value : 66
Smallest Data Value : 01
Range = 66-01 = 65
C) The mode : It the Data value which is repeated the most:
01 : 4 times
10 : 3 times
31 : 3 times
32 : 3 times
Hence the mode is 01
Triangle ABC is a right triangle. Which equation could be used to determine the length of side AC?
The answer is d
[tex]x = \sqrt{{20}^{2}-{7}^{2}} [/tex]
The expression x = √(20² - 7²) can be used to determine the side length of side AC option (d) is correct.
What is a right-angle triangle?It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.
We have:
Triangle ABC is a right triangle with sides shown in the figure.
From the Pythagoras theorem:
20² = 7² + x²
x² = 20² - 7²
x = √(20² - 7²)
Thus, the expression x = √(20² - 7²) can be used to determine the side length of side AC option (d) is correct.
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8/ 2(2+2)
Trying to prove something
the correct answer would be 16 you add (2+2) first and the do 8/2 then multiple 4 x 4 and you get 16
[tex]\bf 8\div 2(2+2)\implies 8\div 2(\stackrel{\downarrow }{4})\implies \stackrel{\downarrow }{4}(4)\implies 16[/tex]
recall PEMDAS
Parentheses first off
MD multiplication and division from left-to-right.
Which is the better buy?
A. 12-quart container of disinfectant for $44.04
B. 2-gallon container of disinfectant for $23.04
Answer: B
Step-by-step explanation:
There are 4 quarts in a gallon. 12 / 4 = 3.
A contains 3 gallons. B contains 2 gallons. If you divide the price by the number of gallons, b will be cheaper.
Answer:
B.
Step-by-step explanation:
A quart is approximately 1/4 of a gallon. Therefore 8 quarts is 2 gallons. 8/12 is 2/3
2/3 of $44.04 is $29.36. Therefore A is more expensive and B is the better buy.
PLEASE HELP!! MATH Will mark Brainlist
Answer:
The area of triangle D'E'F' is four times the area of triangle DEF.
which number is rational?
a. 16/6 sqrt
b. 6 sqrt
c. 36/6 sqrt
d. 36/16 sqrt
D.
36/16 sqrt = 6/4, since the square root applies to denominator and numerator.
A rational number is a number that can be expressed as the quotient or fraction of two integers. None of the given options are rational in the provided question.
Explanation:A rational number is a number that can be expressed as the quotient or fraction of two integers. In this question, we need to determine which of the given options is rational.
To identify a rational number, we need to check if the number can be written in the form a/b, where a and b are integers. Let's analyse each option:
16/6 sqrt: This option can be written as 16/(6 sqrt). The denominator contains a square root, which means it is not rational. 6 sqrt: This option cannot be written as the quotient of two integers since it contains a square root. 36/6 sqrt: This option can be simplified to 6/(sqrt 6). Once again, the denominator contains a square root, making it irrational. 36/16 sqrt: This option simplifies to 9/(4 sqrt). The denominator contains a square root, so it is not rational.
From the analysis, we can see that none of the given options is rational.
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Tabitha transferred a balance of $7800 to a new credit card at the beginning of the year. The card offered an introductory APR of 5.2% for the first 5 months and a standard APR of 33.6% thereafter. If the card compounds interest monthly, what will Tabitha's balance be at the end of the year? Assume that Tabitha will make no payments or new purchases during the year, and ignore any possible late payment fees.)
Answer:
The answer is $9669.65 ≈ $9670.
Step-by-step explanation:
The formula to be used is :
[tex]A=P(1+r)^{nt}[/tex]
For first part :
p = 7800
r = [tex]5.2/100/12=0.00433[/tex]
t = 5
[tex]A=7800(1.00433)^{5}[/tex]
A = $7970.04
For second part:
p = 7970.04
r = [tex]33.6/100/12=0.028[/tex]
t = 7
[tex]A=7970.04(1.028)^{7}[/tex]
A = $9669.65
So, the answer is $9669.65 ≈ $9670.
The figures are similar. Find x.
15/x = 9/4
9x = 60
x = 60/9 = 20/3 = 6.6666
Answer:
20/3
Step-by-step explanation:
9/4=15/x
cross multiply and get:
9x=15x4
9x=60
divide both sides by 9 so
x=60/9 which when reduced is equal to 20/3
Sally has a discount card that reduces the price of her grocery bill in a certain grocery store
by 5%. If c represents the cost of Sally's groceries, which expression represents Sally's
grocery bill?
A. 0.050
B. 0.950
C. C-0.05
D. C+0.95
0.95c
100% minus 5% is 95%, or 0.95. This means Sally only has to pay 0.95 times the grocery bill, or c, which represents 0.95c.