Polynomial
[tex](3x + 2) {}^{7} \times (x - 1) {}^{7} [/tex]
is written in standard form.
What is the coefficient with x in that form?
Answers
Step-by-step explanation:
[tex](3x + 2) {}^{7} \times (x - 1) {}^{7} [/tex]
Coefficient of x is 3
It is usually an integer that is multiplied by the variable and written next to it. The variables which do not have a number with them are assumed to be having 1 as their coefficient. For example, in the expression 3x, 3 is the coefficient of x but in the expression x2 + 3, 1 is the coefficient of x2.
[tex](3x + 2) {}^{7} \times (x - 1) {}^{7} [/tex]
[tex] = \left(2187 x^{7} + 10206 x^{6} + 20412 x^{5} + 22680 x^{4} + 15120 x^{3} + 6048 x^{2} + 1344 x + 128\right)\cdot \left(x^{7} - 7 x^{6} + 21 x^{5} - 35 x^{4} + 35 x^{3} - 21 x^{2} + 7 x - 1\right)=2187 x^{14} - 5103 x^{13} - 5103 x^{12} + 17577 x^{11} + 4347 x^{10} - 26649 x^{9} - 1869 x^{8} + 22931 x^{7} + 1246 x^{6} - 11844 x^{5} - 1288 x^{4} + 3472 x^{3} + 672 x^{2} - 448 x - 128 [/tex]
 {}^{7} \times (x - 1) {}^{7} [/tex]is Written In Standard Form. What Is The Coefficient](https://brainimage.s3.us-east-005.backblazeb2.com/answers/attachments/AgqSFzEczejoiu2gpm4IKfV7HYP4RwzX.jpeg)
Related Questions
Coordinates: (-4, 4), (5, -1)
midpoint:
slope:
distance:
Answers
Answer:
Step-by-step explanation:
Compute the midpoint of the line segment with endpoints:
p_1 = (-4, 4) and p_2 = (5, -1)
The midpoint between (x_1, y_1) and (x_2, y_2) is their componentwise average:
((x_1 + x_2)/2, (y_1 + y_2)/2)
Substitute (x_1, y_1) = (-4, 4) and (x_2, y_2) = (5, -1):
= ((-4 + 5)/2, (4 - 1)/2)
-4 + 5 = 1:
= (1/2, (4 - 1)/2)
4 - 1 = 3:
Answer: = (1/2, 3/2)
write the product using an exponet
(5.6)(5.6)(5.6)
Answers
Answer: [tex](5.6)^3[/tex]
This is the same as saying (5.6)^3
===============================================
Explanation:
The base is 5.6 and it is multiplied a total of 3 times. We use an exponent of 3 to condense things down. So [tex]5.6 * 5.6 * 5.6 = (5.6)^3[/tex]
Another example: [tex]2^4 = 2*2*2*2 = \text{four copies of '2' multiplied}[/tex]
2) If x = y – 9, and y – 4 = 10, x = ?
A. -5
B. +5
C. 1
D. A and B
Answers
Answer:
the answer is B
Step-by-step explanation:
x = y - 9
y - 4 = 10
x = ?
y = 10 + 4
° y = 14
x = y - 9
= 14 - 9
✔️ x = +5
ANSWERS
y-4=10
y=10+4
y=14
sub y equ 1
x=14-9
x=+5
AB = x, BC = x + 4, AC = 40
A •--------------------•B--------------------• C
Help please
Answers
Step-by-step explanation:
A=Xb c
2+4=6
5+5=10
9+20=75
Answer:
ab=20 bc=16+4=20 ac=40
Which point is part of the intersection of planes ACD and MHG?
Answers
A point that is part of the intersection of planes ACD and MHG is: Point B.
How to Find the Points of Intersection of Planes?A plane has at least three points that lie on it. When two planes intersect, they do so at some certain points. This means that two intersecting planes share some points in common alone the line of their intersection.
In the diagram given, plane ACD and plane MHG intersect along line BA. This means that both planes share points A and B in common.
Therefore, we can state that a point that is part of the intersection of planes ACD and MHG is: Point B.
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Damon has 37 inches of space on his car bumper that he wants to use for bumper stickers. How many short bumper stickers can Damon fit side by side on his car bumper?
Answers
Answer: Does it specify how long his short bumper stickers are?
Step-by-step explanation:
Solve for the unknown value using the equation for the constant of proportionality,
Answers
1) When k = 1.5 and x = 50, the value of y is; y = 75
2) When k = 14 and y = 334, the value of x is; x = 23.84
3) When k = 12 and x = 245, the value of y is; y = 2940
4) When k = 16 and y = 38, the value of x is; x = 2.375
How to solve constant of proportionality?
We are given the equation for the constant of proportionality, as y/x = k
1) When k = 1.5 and x = 50, we want to find the value of y = ?
y/50 = 1.5
y = 50 * 1.5
y = 75
2) k = 14 and y = 334, x = ?. We want to find the value of x. Thus;
334/x = 14
x = 334/14
x = 23.84
3) k = 12 and x = 245, y = ?
y/245 = 12
y = 245 * 12
y = 2940
4) k = 16 and y = 38; x = ?
38/x = 16
x = 38/16
x = 2.375
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Complete question is;
Solve for the unknown value using the equation for the constant of proportionality, y/x = k .Known Values Unknown Value
k = 1.5 and x = 50
y = ?
k = 14 and y = 334, x = ?
k=12 and x=245, y = ?
k = 16 and y = 38; x = ?
5. The average monthly salary among a firm's twelve employees is 3500 € There are two part-time workers in the firm who both earn 2500 €/month. If the salaries of these two part-time workers are excluded from the average, what will the new average salary be? a) 3700 € b) 4300 € c) 4000 € d) other
Answers
Answer:
Choice a) 3700 €
Step-by-step explanation:
Total salary among 12 workers = Avg Salary x 12 = 3500 x 12 = 42,000 €
Total salary of 2 part-timers = part-time avg x 2 = 2500 x 2 = 5000
Total salary without part-timers salary= 42,000 - 5000 = 37,000 €
If we exclude the 2 part-timers, there are 10 full-timers who earn 37,000 €
So new Average Salary = 37000/10 = 3,700 €
answer: Choice a) 3700 €
What is the image of the point
(
1
,
−
4
)
(1,−4) after a rotation of
18
0
∘
180
∘
counterclockwise about the origin?
Answers
The image of the point after a 180∘ counterclockwise rotation about the origin is (-1, 4)
How to determine the image of the point?The given parameters are
Point = (1, -4)
Transformation: 180∘ counterclockwise about the origin
The rule of 180∘ counterclockwise about the origin is
(x, y) = (-x, -y)
When this rule is applied to the given point, we have the image to be
Image = (-x, -y)
This gives
Image = (-1, 4)
Hence, the image of the point after a 180∘ counterclockwise rotation about the origin is (-1, 4)
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The number 56 is an integer, but not a whole number.
Answers
Answer:
False.
Step-by-step explanation:
Whole numbers can be described as the integers greater than and including zero. 56 has no fractional or decimal part, and is positive, so it is a whole number and an integer!
if a piece of ribbon is 4 3/4 feet long, how long is it in inches?
Answers
6. Answer the following questions given the following infinite geometric series:
8 + 12 + 18 + 27 + ...
Answers
For the given geometric sequence, we have that:
The first term is: [tex]a_1 = 8[/tex]The common ratio is: [tex]r = \frac{3}{2}[/tex]Since it is an infinite sequence with r > 1, the sequence diverges.What is a geometric sequence?A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.
The nth term of a geometric sequence is given by:
[tex]a_n = a_1q^{n-1}[/tex]
In which [tex]a_1[/tex] is the first term.
For the series given by:
8, 12, 18, 27, ...
We have that:
The first term is: [tex]a_1 = 8[/tex]The common ratio is: [tex]r = \frac{12}{8} = \frac{3}{2}[/tex] (simplifying by 4).When a geometric series is infinite and has a common ratio greater than 1, it diverges.
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A group of friends wants to go to the amusement park. They have no more than $605 to spend on parking and admission. Parking is $17.25, and tickets cost $37.25 per person, including tax. Which inequality can be used to determine pp, the maximum number of people who can go to the amusement park?
Answers
Considering the definition of an inequality, the inequality that can be used to determine p, the maximum number of people who can go to the amusement park, is:
17.25 + 37.25×p ≤ 605
Definition of inequalityAn inequality is the existing inequality between two algebraic expressions, connected through the signs:
greater than >.less than <.less than or equal to ≤.greater than or equal to ≥.Solving an inequality consists of finding all the values of the unknown for which the inequality relation holds.
Inequality in this caseIn this case, you know that:
A group of friends have no more than $605 to spend on parking and admission. Parking is $17.25, and tickets cost $37.25 per person, including tax.Being "p" the number of people who can go to the amusement park, the inequality that expresses the previous relationship is
17.25 + 37.25×p ≤ 605
Finally, the inequality that can be used to determine p, the maximum number of people who can go to the amusement park, is:
17.25 + 37.25×p ≤ 605
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Which statement correctly describes the expression (-18)(-3)?
Answers
Answer:
Both factors are negative,so that the product will be positive
Step-by-step explanation:
Hope it helps you
Annie runs in the park every 3 days. Ron runs in the park every 5 days. They both ran on 1 January. How many more times will they run in the park on the same day up to the end of February?
Answers
Answer:
Step-by-step explanation:
annie runs in park = every 3 days
ron runs in park = every 5 days
lets find LCM of 3 and 5 = 3*5 = 15
if they ran on 1st of January then they will meet again on on 15th January , will again meet on 30th of January and will again meet on 14 February . if is was a leap year they would again meet at 29th February .
Simply and show how you got the answer
Answers
[tex] \frac{3}{ \sqrt{5} - 2 } [/tex]
Rationalize the denominator by multiplying the numerator and denominator by the denominator. (Important: if the denominator has a minus sign, change to plus and vice versa)
[tex]⟹\frac{3 \times \sqrt{5 + 2} }{ (\sqrt{5} - 2 ) \times ( \sqrt{5} + 2) } [/tex]
[tex] ⟹ \frac{3 \sqrt{5} + 6 }{ \sqrt{25} + 2 \sqrt{5} - 2 \sqrt{5} - 4 } ⟹\frac{3 \sqrt{5} + 6 }{5 - 4} [/tex]
[tex] ⟹\frac{3 \sqrt{5} + 6}{1} ⟹3 \sqrt{5} + 6[/tex]
Problem 2.[tex] \frac{6 - \sqrt{12} }{ \sqrt{3} + \sqrt{10} } [/tex]
Rationalize the denominator.
[tex] ⟹\frac{(6 - \sqrt{12} ) \times ( \sqrt{3} - \sqrt{10} )}{ (\sqrt{3} + \sqrt{10} ) \times ( \sqrt{3} - \sqrt{10} } [/tex]
[tex]⟹\frac{6 \sqrt{3} - 6 \sqrt{10} - \sqrt{36} + \sqrt{120} }{ \sqrt{9} - \sqrt{30} + \sqrt{30} - \sqrt{100} } [/tex]
[tex]⟹ \frac{6 \sqrt{3} - 6 \sqrt{10} - \sqrt{36} + \sqrt{120} }{3 - 10} ⟹ \frac{6 \sqrt{3} - 6 \sqrt{10} - \sqrt{36} + \sqrt{120} }{ - 7} [/tex]
[tex] ⟹\frac{6 \sqrt{3} - 6 \sqrt{10} - 6 + \sqrt{12 \times 10} }{ - 7}⟹\frac{6 \sqrt{3} - 6 \sqrt{10} - 6 + 4 \sqrt{3 \times 10} }{ - 7} [/tex]
[tex] ⟹ - \frac{6 \sqrt{3} - 6 \sqrt{10} - 6 + 2 \sqrt{30} }{7} [/tex]
Therefore:
1. [tex]3 \sqrt{5} + 6[/tex]
2. [tex] - \frac{6 \sqrt{3} - 6 \sqrt{10} - 6 + 2 \sqrt{30} }{7} [/tex]
I hope these helpIf m is one sixth of n and p is five less than m, write a p as a function of n
Answers
p = (n - 30)/ 6 as a function of n.
Here we need to find the value of p in terms of n.
From the question, we have two equation
The first equation is:
m = 1/6n .......(1)
The second equation is:
p = m - 5.......(2)
From equations 1 and 2 we have to find the value of p in term of n.
So by putting the value of m in the second equation we have:
p = 1/6n - 5
= (n - 30)/6
Therefore we get the value of p as (n -30)/6 in terms of n.
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Given this equation for converting temperature from Fahrenheit (f) to Celsius (c) is C = [5(f – 32)]/9, what is the Celsius temp when Fahrenheit is 104 degrees?
Answers
Answer:
40 degrees
Step-by-step explanation:
Substitute f = 104:
[tex]C = \frac{5(f - 32)}9 \\\\\to C = \frac{5(104 - 32)}9 \\\\\to C = \frac{5 \times 72}9 \\\\\to C = 5 \times 8 = 40 \text{ degrees}[/tex]
An observation deck extends 456 feet out above a valley. The deck sits 406 feet above the valley floor. If an object is dropped from the observation deck, its height h in feet, after t seconds, is given by h=-161 +406. How long will it take for the object to be 6 feet above the valley floor?
Answers
We need to know the relation between height, time to solve this problem. The time taken by the object to be 6 feet above the valley floor is 25 seconds.
The distance an object falls is proportional to the time it took to fall because of gravitational force. Here we have been given an equation that shows us the relation between height of the object and the time taken to reach that height. We know that the initial height of the object is 406 feet, if we substitute the initial height in the equation we get time to be zero which shows us that this is the initial height. We need to find out the time taken by the object to be 6 feet above the valley floor.
h= -16t+406
6=-16t+406
-400=-16t
t=400/16=25 seconds
Therefore the time taken by the object to be at a height 6 feet above the valley floor is 25 seconds.
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Use the distance formula to determine how far apart the given points are. Given: D(-12, 10) E(-1,5) Find: DE
Answers
Answer:
it d
Step-by-step explanation:
The picture is uploaded above. I will give brainliest
The question is question 2
Answers
4,12
represents that jorge takes 4 steps to walk 12 feet
or represents number of steps that it takes to walk 12 feet either is right
These questions are about calculus, I would greatly appreciate your help on both questions! ASAP PLEASE!
Answers
The slope of the line -1/6.
The value of m = -1.
what is slope?The slope of a line is a measure of its steepness. slope is calculated as "rise over run" (change in y divided by change in x).
given:
f(x) = √10-x
let f(x)=y
y = √10-x
Now,
dy/dx = -1/2(√10-x)
at x=1
dy/dx = -1/2(√10-1)
dy/dx = -1/2(3)
dy/dx = -1/6
equation of line is
y= mx + b
y= (-1/6)x + b
6y = -x + b
So, m= -1
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Mr. McDowell bought a block of fudge that weighed 7/10 of a pound. He cut the fudge into 7 equal pieces. What was the weight of each piece of fudge?
Answers
Answer: 1/10 of a pound
Step-by-step explanation:
The total weight was 7/10 of a pound. Cutting the fudge into 7 pieces implies dividing the fudge by 7.
7 is the same as 7/1.
When dividing fractions, we can multiply by the reciprocal. Essentially, we just flip the second number.
[tex]\frac{7}{10}/7 =\frac{7}{10} / \frac{7}{1} =\frac{7}{10} *\frac{1}{7}[/tex]
We can multiply this out to 7/70 and then simplify to 1/10,
or we could first cross simplify by dividing the 7s out of the numerator and denominator before multiplying. Either way, your answer ends up being 1/10 of a pound.
Hope this helps!
Which angles in the picture are NOT adjacent?
A. ∠2 and ∠3
B. ∠3 and ∠4
C. ∠1 and ∠2
D. ∠1 and ∠3
Answers
Answer:
D. ∠1 and ∠3
Hope this helps!
Answer:
1 and 3 or also known as D
Step-by-step explanation:
i took the test and got it right
What is (-1, 2) reflected across the y-axis?
Answers
If the coordinate is reflected over the y-axis, the resulting coordinates will be (1, 2).
Reflection of coordinatesImages that are reflected are mirror images of each other. For instance, given the coordinate points (x, y), if it is reflected across the y-axis, then the result of the expression is (-x, y).
Given the coordinate point (-1, 2), if the coordinate is reflected over the y-axis, the resulting coordinates will be (1, 2).
Note that the x-coordinate point is negated if the coordinate is reflected over the y-axis.
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Hazel plans to mow her neighbors' yards to earn money. She charges a base fee of $25 and $7 for every hour she mows. The amount she earns per yard can be represented by the linear function M(t) = 7t + 25. What is the value of M(2), and what is its interpretation?
a. M(2) = 39; If Hazel mows 2 yards, she will earn $39.
b. M(2) = 14; If Hazel mows 2 yards, she will earn $14.
c. M(2) = 39; If Hazel mows a yard for 2 hours, she will earn $39.
d. M(2) = 14; If Hazel mows a yard for 2 hours, she will earn $14.
Answers
The correct option is M(2) = 39; If Hazel mows a yard for 2 hours, she will earn $39 . Option C
What is a function?A function can be defined as an expression that shows the relationship between an independent variable and a dependent variable.
Given the function;
M(t) = 7t + 25
Where;
M is the amount she earns per yardt is the time in hoursFor M(2), we substitute the value of t as 2 in the function
M(2) = 7(2) + 25
M(2) = 14 + 25
M(2) = $39
This explains that the she mows the yard for t = 2 hours, she would earn $39
Thus, the correct option is M(2) = 39; If Hazel mows a yard for 2 hours, she will earn $39. Option C
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refer to the image please!!
Answers
[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
Here we go ~
Value of g (x) is -2, when :
[tex]\qquad \sf \dashrightarrow \: - 2.5 < x \leqslant - 1.5[/tex]
And since -2 lies in this range of x,
[tex]\qquad \sf \dashrightarrow \:g( - 2) = - 2[/tex]
Value of x is -1, when :
[tex]\qquad \sf \dashrightarrow \: - 1.5 < x \leqslant - 0.5[/tex]
And -0.5 falls in this range, hence
[tex]\qquad \sf \dashrightarrow \:g( - 0.5 ) = - 1[/tex]
Next, The value of x is 0 when :
[tex]\qquad \sf \dashrightarrow \: - 0.5 < x < 0.5 [/tex]
But, it isnt equal to 0.5, since there is open interval at both extremes.
Next, Value of x is 1, when :
[tex]\qquad \sf \dashrightarrow \:0.5 \leqslant x < 1.5[/tex]
And since it also has the value 0.5 included in it,
[tex]\qquad \sf \dashrightarrow \:g(0.5) = 1[/tex]
Perform the following metric-metric conversion.
1.68 g/L_____ g/mL
Answers
Answer: 1680ml
Step-by-step explanation:
1000 mL are in 1 L, so with that logic
1=1000
.68=680
1000+680=1680
Write the ratio of pencils to
erasers in simplest form.There are 10 pencils and 2 erasers
Answers
I think this is the answer
I hope this helps:(
Which of the following is an example of the Commutative Property? 2x + 3x = 5x 5xy = 5(xy) 5z - 3x = -3x + 5z 3(a + b) = 3a + 3b
Answers
From the given examples 5z - 3x = -3x + 5z and 5(xy) = 5(xy) are following the commutative property.
According to the given question.
We have some equations
2x + 3x = 5x
5xy = 5(xy)
5z - 3x = -3x + 5z
3(a + b) = 3a + 3b
Here, we have to find which equation is following the commutative property.
As we know that, the commutative property is a math rule that says that the order in which we multiply numbers does not change the product.
For, example 4 + 5 gives 9, and 5 + 4 also gives 9.
From the given example the equation
5z - 3x = -3x + 5z is following the commutaive property of addition.
And, 5(xy) = 5(xy) is following the commutative property of multiplication.
Hence, from the given examples 5z - 3x = -3x + 5z and 5(xy) = 5(xy) are following the commutative property.
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