The expression above can be resolved to become; (5a + b)³
According to the question:
We are required to determine resolve the expression as given in the question.To resolve the expression given;
We are required to multiply the polynomials as follows;(5a + b) (25a² + 10ab² + b²)= 125a³ + 50a²b² + 5ab² + 25a²b + 10ab³ + b³However; the expression above can be factorised to become;
(5a + b)³Upon expansion; (5a + b)³ yields the expression gotten earlier;
125a³ + 50a²b² + 5ab² + 25a²b + 10ab³ + b³Learn more about equation:
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Do You KNOW HOW?
Describe the type of association between x and
y for each set of data.
Please help☹️
Answer:
The type of association between x and y are inversely proportional
Step-by-step explanation:
Solution:
Here the x value increase, the y value decrease which implies that x is inversely proportional to y
I hope this helps.
Help pleaseeeeeeee asapplpl
Answer:
the graph is incorrect first u correct this
whoever answers ets brainliest, 5 stars, and a thanks. pls help asap!
evaluate: (5/6 + 2/3) - (3/4 + 1/12)
answer as a fraction in simplest form
Given info:- Evaluate: [(5/6 + 2/3) - (3/4 + 1/12)] and find the Evaluated form = ?
Solution:-
Given fractional expression: [(5/6 + 2/3) - (3/4 + 1/12)]
Take the LCM of denominator 3 and 6 is 6.
Again take the LCM of denominator 4 and 12 is 12.
so,
⟼ [(5+4)/6 - (9+1)/12]
⟼ [9/6 - 10/12]
Now, take the LCM of the denominator 9 and 12 is 36.
⟼ [(54-30)/36]
Now, reduce the fraction by extracting and cancaling out with 2.
⟼ [24÷2/36÷2]
⟼ 12/18
⟼ 6÷3/9÷3
⟼ 2/3
Answer↓
Therefore, Evaluated form is 2/3.
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Question 1 Evaluate (5 + 2)2 − 40 + 3 6 11 12 34 -------------------------------------------------------------------------------- Question 2 Evaluate 7 + 52 • 4...
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Twice the sum of a certain number and 36 is 90?
Step-by-step explanation:
Let the number be x
According to the question
2(x+36)=90
2x+72=90
2x=90-72
2x=18
x=18/2
x=9
Please take a look at the picture
Answer:
B) [tex]-\frac{a}{-b}[/tex]
Step-by-step explanation:
The value [tex]-\frac{-a}{b}[/tex] is the same as [tex]\frac{a}{b}[/tex] since the negatives cancel out to make a positive.
Option A is incorrect since the overall value of the term would be negative. Option B however is correct since there will not be a negative value in the denominator of a fraction and thus it cancels out with the negative in front of the fraction to produce the value of [tex]\frac{a}{b}[/tex] which is the same as the expression given in the question, thus it is option B.
Victor drives a distance of 21.45 miles everyday from home to his office. He moves into a new apartment that is just 3.65 miles away from his office. Determine the distance by which Victor has lessened his drive to the office.
Answer:
17.8 miles
Step-by-step explanation:
His old house was 21.45 miles from the office. He moves to a new apartment which is just 3.65 miles from the office.
Since it asks for the distance he reduced to the office, we would do
21.45 - 3.65 = 17.8 miles
Add and simplify.
[tex]\frac{7}{27}\\\frac{1}{6}[/tex]
•ω• Hewo fren!
☆☆●◉✿ Answer:✿◉●☆☆
7/27 + 1/6 = 23/54
☆☆●◉✿Step-by-step explanation:✿◉●☆☆
When we add fractions we must make sure they both have the same denominator first. 7/27 and 1/6 don’t have the same denominator so THE FIRST STEP HERE is to convert both fractions to have the same denominator so we can add. IN ORDER TO DO THAT, we must find the LCM (Least Common Multiple). The LCM of 27 and 6 (,the denominators,) is 54. 6 • 9 = 54 and 27 • 2 = 54. So we have to multiply 1/6 • 9 and 7/27 • 2.
7/27 • 2 = 14/54
1/6 • 9 = 9/54.
14+9=23 so the answer is 23/54 because it cannot be simplified.
HOPE I HELPED! ∧∧
→⇒brainliest please? ∑(OΔO )♥♥︎
Which is the initial value of the function represented by this graph?
1
5
6
7
Which is the initial value of the function represented by this graph?
1
5
6
7
answer : 1
Assume each choice is random and equally likely. What is the probability that someone gets a bowl of ice cream, with two scoops of vanilla?
Answer:
1/4
Step-by-step explanation:
Solution: as shown in the figure,
2/8 = 1/4
Answer:
3
Step-by-step explanation:
i thing
4(x - 4) + 2x -10 and what the answer
Answer:
Expression: 6x - 26. Equation: 3
Step-by-step explanation:
EXPRESSION
4x - 16 + 2x - 10
6x - 26
EQUATION 1
4x - 16 = 2x - 10 (Seems reasonable. Sorry if this isn't it)
4x = 2x + 6
2x = 6
x = 3
EQUATION 2
4x - 16 + 2x = - 10
6x - 16= -10
6x = 6
x = 1
simplify √6+3√6 please and thank you
Answer:
4√6
Step-by-step explanation:
√6 is a common factor on either side of the plus sign.
Therefore you can use the distributive property to get it out as a common factor. If you do not know what the distributive property is, then you can just say that √6 is a common factor.
√6(1 + 3) Combine the like terms in the brackets.
√6(4) or
4√6
Answer:
Exact Form: 4√6
Decimal Form: 9.79795897...
Step-by-step explanation:
Please vote brainliest!
A hotel reservation number consist of 4 digits, followed by 1 letters, followed by 3 digits. How many different reservation numbers are possible?
Answer:
24000000
(might not be correct)
Step-by-step explanation:
might not be right but ill try:
ten digits: 10
4times:10x10x10x10=10000
times a letter:24 letters= 10000x24=240000
time three digits: 10x10x10=100x240000=24000000
The total number of combination for the repeating and not repeating cases are 260000000 and 604800 respectively.
What is permutation and combination?Permutation and combination are the ways of counting.
Permutation implies selection of objects regardless of arrangement while Combination implies the selection when arrangement is important.
Given that,
The hotel reservation number contains 4 digits, 1 letter and then 3 digits.
Now, there are two possible cases for the given problem as follows,
Case 1 : The digits are repeating.
Then the total number of combinations for digits varying from 0 to 9 and 26 letters will be,
10 × 10 × 10 × 10 × 26 × 10 × 10 × 10
= 260000000
Case 2 : The digits are not repeating.
Then, for seven digits out of 10 the number of combinations are ¹⁰P₇.
And, for 26 letters it is ²⁶P₁.
Thus the total number of combinations are ¹⁰P₇ × ⁶P₁ which is equal to,
10 × 9 × 8 × 7 × 6 × 5 × 4 × 26
= 604800
Hence, the different number of combinations for the reservation number for the two cases are 260000000 and 604800 respectively.
To know more about permutation and combination click on,
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What is the slope of the line?
Answer:
rise is 4 and run is 1 so 4/1 or 4
the answer is b
Hope This Helps!!!
HELP PLEASE I WILL MARK BRAINIEST WHEN ABLE TO
An expression is shown below:
the square root of 18 plus the square root of 2
Which statement is true about the expression?
It is rational and equal to 4 times the square root of 2.
It is irrational and equal to 4 times the square root of 2.
It is rational and equal to 3 times the square root of 2.
It is irrational and equal to 3 times the square root of 2.
Answer: It is irrational and equal to 3 times the square root of 2.
Answer:
It is irrational and equal to 3 times the square root of 2.
Step-by-step explanation:
just like the other guy said
Solve. 3(x-6) - 8x = -2 + 5(2x+1)
Answer: x = -1.4
Step-by-step explanation:
Answer: x = -7/5
Step-by-step explanation: (3)(x)+(3)(−6)+−8x = −2+(5)(2x)+(5)(1) 3x+−8x+−18 = 10x+−2+5 −5x+−18 = 10x+3 −5x−18-10x = 10x+3-10x −15x−18+18 = 3+18 −15x/-15=21/-15 x = -7/5
A woman wants to get to two destinations, A and B. From home to A there are 5 possible routes. From A to B
there are 5 possible routes. How many possible routes are there from home to B, if all of them go through A first?
From home to A has 5 routes. Ex: Route A,B,C,D,E.
A to B has 5 routes. Ex: Route F,G,H,I,J
The shorter way is 5x5 = 25
The longer way is A.F , A.G, A.H, A.I, A.J. + B.F, B.G, B.H, B.I, B.J and continue on...
Select the reason why these triangles are
similar. If they are not, select "Not similar.
14
9
24
16
6
21
Answer:
SSS
Step-by-step explanation:
The triangles are similar according to SSS rule (side lengths)
You can check it by writing the following equation:
6/9 = 16/24 simplify both sides
2/3 = 2/3
Which of the following is equivalent to the expression 2/5 divided by 4 ?
A
5/2×4
B
2/5
C
2/5×1/4
D
2/5÷1/4
Answer:
C) 2/5×1/4
Step-by-step explanation:
Dividing by a number is the same by multiplying by the reciprocal of the number.
For Example:
1/2 divided by 3 would be the same as 1/2 x 1/3
So for this problem we are given that 2/5 is divided by 4 which would be the same as 2/5 multiplied by the reciprocal of 4 which is 1/4 and thus the answer is option C which is 2/5×1/4
increase 400 in the ratio 3:5
decrease 400 in the ratio 3:5
Answer:
Given 3:5 = 3+5=10,
400*3/8=150,
400*5/8=250.
please view the img above for the question ^^
Answer:
2
Step-by-step explanation:
because resetting the graph means it has to be a reflection
QUICKEST 100 POINTS EVER!
Answer:
D. 25x⁴ + 30x³ + 29x² + 12x + 4Step-by-step explanation:
(5x² + 3x + 2)² = (5x² + 3x + 2)(5x² + 3x + 2) = 5x²(5x² + 3x + 2) + 3x(5x² + 3x + 2) + 2(5x² + 3x + 2) =25x⁴ + 15x³ + 10x² + 15x³ + 9x² + 6x + 10x² + 6x + 4 = 25x⁴ + 30x³ + 29x² + 12x + 4Correct choice is D
Answer:
D. 25x⁴ + 30x³ + 29x² + 12x + 4
Step-by-step explanation:
(5x² + 3x + 2)² =
(5x² + 3x + 2)(5x² + 3x + 2) =
5x²(5x² + 3x + 2) + 3x(5x² + 3x + 2) + 2(5x² + 3x + 2) =
25x⁴ + 15x³ + 10x² + 15x³ + 9x² + 6x + 10x² + 6x + 4 =
25x⁴ + 30x³ + 29x² + 12x + 4
5.
Use the quadratic model y = -4x^2 - 3x + 4 to predict y if x equals 5.
A. -89
B. -111
C. -411
D. -51
Answer:
B. -111
Step-by-step explanation:
y = -4x^2 - 3x + 4
x = 5
y = -4(5)^2 - 3(5) + 4
y = -4(25) - 15 + 4
y = -100 - 15 + 4
y = -111
...............................................................................................................................................
Please, write -4x^2 (not 04x2).
Then the quadratic model is y = -4x^2 - 3x + 4.
Now substitute 5 for x: y(5) = -4 (5)^2 - 3(5) + 4
Simplifying, y(5) = -4(25) - 15 + 4 = -100 - 11 = -111.
what is 282.74 in terms of pi
Answer:
90π
Step-by-step explanation:
282.74 / π
282.74 / 3.14159 = 90
282.74 = 90π
If f(3) = 24, what is f-1 (24)?
Answer:
f=25
Step-by-step explanation:
24+1=25
25-1=24
Somebody help me with these worksheets pls
(Please answer properly)
This is an interesting problem.
But first, let us define what are the three possible cases :
A system of linear equations : a system of equation is when you have two equations with the same unknown variables, that you need to solve both together. Example : "x+y = - 7 AND x + y = - 4" are two equations that form a system of equation.
Plus they are linear, a linear equation is simply an equation of the form : y = ax + b where a and b are real numbers.
Here for example x + y = - 7 is a linear equation. Because y = 1 × x - 7
where a = 1 and b = - 7.
Consistent Dependent : A system of equation is consistent Dependant when it has an infinite number of solutions.
When this is the case, the graphs of the lines in the system are the same, meaning the equations in the system represent the same line.Consistent Independent : A system of equation is consistent Dependant when it has exactly one solution.
When this is the case, the graphs of the lines in the system cross at exactly one point.Inconsistent : A system of equation is Inconsistent if it haas no solutions.
When this is the case, the graphs of the lines in the system do not intersect, meaning they are parallel.Now, with those definitions above, we can work on our problem :
1. x + y = - 7 and x + y = - 4
Look at the picture attached the lines are parallel to each other so here the answer is Inconsistent
2. Same line : consistent dependent
3. Parallel Lines : Inconsistent
4. Lines cross at exactly one point :Consistent Independent
5. Lines cross at exactly one point : Consistent Independent.
You can see the graph of each systems in the pictures attached below.
Good luck, you will succeed :)
Select the correct answer. Given the domain {-4,0,5), what is the range for the relation 12x + 6y= 247 OA (-12, 4, 6) ОВ. 12,4,9) Oc. 12, 4, 6) OD. 44, 4, 14) I'll give brainliest!
The range for the relation 12x + 6y= 247 is,
Range = {49.17, 41.17, 31.17}
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
The function is,
⇒ 12x + 6y = 247
Now,
We have;
The domain is, {-4,0,5)
Hence, The range of the function is find as;
Put x = - 4;
⇒ 12x + 6y = 247
⇒ 12 × - 4 + 6y = 247
⇒ - 48 + 6y = 247
⇒ 6y = 247 + 48
⇒ 6y = 295
⇒ y = 49.17
Put x = 0;
⇒ 12x + 6y = 247
⇒ 0 + 6y = 247
⇒ 6y = 247
⇒ y = 41.17
Put x = 5;
⇒ 12x + 6y = 247
⇒ 60 + 6y = 247
⇒ 6y = 247 - 60
⇒ 6y = 187
⇒ y = 31.17
Thus, The range for the relation 12x + 6y= 247 is,
Range = {49.17, 41.17, 31.17}
Learn more about the function visit:
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Find the value of X that makes lines L and M parallel.
Answer:
x = 11
Step-by-step explanation:
If the lines were parallel, then the transversal would make 2x + 1 and 23° alternate interior angles. Alternate interior angles equal one another, so set up the following equation.
[tex]2x+1=23~(Given)\\\\2x+1-1=23-1~(Subract~1~on~both~sides)\\\\2x=22~(Simplify)\\\\\frac{2x}{2}=\frac{22}{2}~(Divide~2~on~both~sides)\\\\x=11~(Simplify)[/tex]
lol mine looks different
At State College last term, 63 of the students in a Physics course earned As, 85
earned Bs, 123 got Cs, 84 were issued Ds, and 64 failed the course. If this grade
distribution was graphed on a pie chart, how many degrees would be used to indicate
the B region?
Answer:
a
Step-by-step explanation:
write the value of the underlined digit in words 6,302,450? 3 being the underlined number.
Answer:
Three hundred thousand
Step-by-step explanation:
Hope this helps
Write (-3,-9) and (4,-2) in slope intercept form
Answer:
Slope intercept form is y = x - 6 (you don't write 1 in front of x in this case btw)
Slope = 1
Y-intercept = -6
Step-by-step explanation:
Slope intercept form looks like this y=mx+b, where m is slope and b is y-intercept.
To find slope, we will do y2 - y1 over x2 - x1.
This is how coordinates are written btw (x,y)
So we will do:
-2 - (-9) = -2 + 9 = 7
4 - (-3) = 4 + 3 = 7
Since 7/7 is the same as 7÷7, the slope is going to be 1. (It's also a positive slope btw)
Now, in order to find what the y-intercept is, you should use the point slope formula⤵⤵⤵:
[tex]y - y _{1} = m(x - x _{1})[/tex]
We'll use point (4,-2) for this:
y + 2 = 1 (x - 4)
Now we solve:
Distribute the 1 among everything inside the parenthesis to get y + 2 = x - 4, then subtract 2 on both sides to get y = x - 6.
Hope this helps :)