Given:
The expression is:
[tex]8x^4-2x[/tex]
To find:
The coefficient and the exponent for each term of the given expression.
Solution:
Coefficients: In the product of s number and a variable, the number is coefficient of the variable.
Exponent: The number in the power is called exponent.
We have,
[tex]8x^4-2x[/tex]
Here, the terms are [tex]8x^4,-2x[/tex].
For the term [tex]8x^4[/tex], the coefficient is 8 and the exponent is 4.
For the term [tex]-2x[/tex], the coefficient is -2 and the exponent is 1.
Therefore, the coefficients are 8 and -2, and the exponent are 4 and 1.
Emma received 2,147,389 votes in a national talent show.
The value of the digit 2 in her score is
Answer:
It is 2 million
Answer:
Million
Step-by-step explanation:
Martina read that the average graduate student is 33 years old. She wanted to estimate the mean age of graduate students at her large university, so she took a random sample of 30 graduate students. What is Martina's margin of error?
Answer: Martina's margin of error is 1.5.
Step-by-step explanation:
Given: Average graduate student (upper limit) = 33
Random sample graduate student (lower limit) = 30
Formula to calculate margin of error is as follows.
Margin of error = [tex]\frac{upper limit - lower limit}{2}[/tex]
Substitute the values into above formula as follows.
[tex]Margin of error = \frac{upper limit - lower limit}{2}\\= \frac{33 - 30}{2}\\= \frac{3}{2}\\= 1.5[/tex]
Thus, we can conclude that Martina's margin of error is 1.5.
Which peicewise function is shown in the graph?
Answer:
Option (1)
Step-by-step explanation:
From the graph of the piecewise function,
There are two pieces of the function,
1). Segment (1) having x < 0
2). Segment (2) having x ≥ 0
Segment (1),
Segment starts with a hollow circle at x = 0 and passes through two points (0, 1) and (-2, 2)
Slope of the segment = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
= [tex]\frac{2-1}{-2-0}[/tex]
= [tex]-\frac{1}{2}[/tex]
Equation of the segment passing through (-2, 2) with slope = [tex]-\frac{1}{2}[/tex],
[tex]y-y'=m(x-x')[/tex]
[tex]y-2=-\frac{1}{2}(x+2)[/tex]
[tex]y=-\frac{1}{2}x-1+2[/tex]
[tex]y=-\frac{1}{2}x+1[/tex]
[tex]y=-0.5x+1[/tex] For x < 0
Segment (2),
Segment starts with a solid circle at x = 0 and passes through (0, -2) and (2,2)
Slope of the segment = [tex]\frac{2+2}{2-0}[/tex]
= 2
Equation of the segment passing through (0, -2) and slope = 2,
y - y' = m(x - x')
y + 2 = 2(x - 0)
y = 2x - 2 For x ≥ 0
Therefore, Option (1) will be the correct option.
Please help me the picture is above I’ll mark as brainliest. I really need the answer
Question 24 Multiple Choice Worth 1 points)
(8.01 MC)
Two lines, A and B, are represented by equations given below:
Line A: y = x - 4
Line B: y = 3x + 4
Which of the following shows the solution to the system of equations and explains why?
0 (-3,-5), because the point satisfies one of the equations
0 (-3,-5), because the point lies between the two axes
(-4,-8), because the point satisfies both equations
(-4, -8), because the point does not lie on any axis
Given:
The system of equations is:
Line A: [tex]y=x-4[/tex]
Line B: [tex]y=3x+4[/tex]
To find:
The solution of given system of equations.
Solution:
We have,
[tex]y=x-4[/tex] ...(i)
[tex]y=3x+4[/tex] ...(ii)
Equating (i) and (ii), we get
[tex]x-4=3x+4[/tex]
[tex]-4-4=3x-x[/tex]
[tex]-8=2x[/tex]
Divide both sides by 2.
[tex]-4=x[/tex]
Substituting [tex]x=-4[/tex] in (i), we get
[tex]y=-4-4[/tex]
[tex]y=-8[/tex]
The solution of system of equations is (-4,-8).
Now verify the solution by substituting [tex]x=-4, y=-8[/tex] in the given equations.
[tex]-8=-4-4[/tex]
[tex]-8=-8[/tex]
This statement is true.
Similarly,
[tex]-8=3(-4)+4[/tex]
[tex]-8=-12+4[/tex]
[tex]-8=-8[/tex]
This statement is also true.
Therefore, (-4,-8) is a solution of the given system of equations, because the point satisfies both equations. Hence, the correct option is C.
Please help meeee
Similar Figures Activity - Dilations Not at the Origin
Step-by-step explanation:
∆ABC =>by reflection over x-axis and then dilation with scale factor 2, the point of center (5, -1) ==> ∆ XYZ
select the expression that is equivalent to (x-7)
Lin scored 18 marks in a test and Jon scored 12 marks.
Calculate Lin's mark as a percentage of Jon's mark
Answer:
=60
Step-by-step explanation:
18 + 12
=30
18/30 × 100%
=60
Find the area of the circle if the square has an area of 900in^2. Give your answer in terms of 3.14 or pi
Answer:
450in^2
Step-by-step explanation:
square root of 900 is 30.
Each side of square is 30.
Each side of a triangle formed by drawing a radi in the square is 15 in.
The hypotenuse is 15[tex]\sqrt{2}[/tex] that is also the radius of the circle.
A= (15[tex]\sqrt{2}[/tex])^2 times pi = 450 in^2
There jar of milk contains 40 litre,50 litre, and 60 litre of milk. Find the greatest capacity of vessel which can empty out each jar with the exact number of fillings
Answer:
10
Step-by-step explanation:
Do HCF of 40,50,60 and the answer is 10
Find the midpoint of the segment
(-3,-1)
(-2,0)
(-2,-1)
(-3,0)
Solve 4(x - 3) - 2x - 1) > 0
Answer:
x > 5.5
Step-by-step explanation:
4(x - 3) - (2x - 1) > 0
4x - 12 - 2x + 1 > 0
4x - 2x - 11 > 0
2x - 11 > 0
2x - 11 + 11 > 0 + 11
2x > 11
2x ÷ 2 > 11 ÷ 2
x > 5.5
Answer:
x>13/2
Step-by-step explanation:
4x-12-2x-1>0
2x-13>0
2x>13
X>13/2
25 points!!!!!!!!!!!!!!!!!!!!!!
2x+2y=, for ,x=-2,y=5
Answer:
6
Step-by-step explanation:
2x+2y=2*(-2)+2*5=6
Answer:
6
Step-by-step explanation:
Substitute x = - 2, y = 5 into the expression
2x + 2y
= 2(- 2) + 2(5)
= - 4 + 10
= 6
The length of the sides of a triangle are y, y + and 7 centimeters. If the triangles perimeter is 56 centimeters, what is the value of y?
A) 24
B) 25
C)31
D) 32
749
B
C
(2y +34)
Okay
...........................
What is the area of a rectangle with vertices at 4,3 11,3 11,9 4.9
Answer:
42 units²
Step-by-step explanation:
the area = (11-4) × (9-3)
=7×6 = 42 units²
The point-slope form of the equation of the line that passes through (-9, -2) and (1, 3) is y - 3 = 1/2 (x - 1). What is the slope-intercept for of the equation for this line?
A.) y = 1/2x + 2
B.) y = 1/2x - 4
C.) y = 1/2x + 5/2
D.) y = 1/2x - 7/2
PLEASE HELP!!!!!!!!!!!
Answer:
C
Step-by-step explanation:
To convert from point-slope form to slope-intercept form, we can simplify and isolate the y.
We have the equation:
[tex]\displaystyle y-3=\frac{1}{2}(x-1)[/tex]
Distribute the right-hand side:
[tex]\displaystyle y-3=\frac{1}{2}x-\frac{1}{2}[/tex]
Add 3 to both sides:
[tex]\begin{aligned} \displaystyle y&=\frac{1}{2}x-\frac{1}{2}+3\\\\&=\frac{1}{2}x-\frac{1}{2}+\frac{6}{2}\\\\&=\frac{1}{2}x+\frac{5}{2}\end{aligned}[/tex]
Our answer is C.
What is the value of this expression when g=-3.5?
8-12g-5
Answer:
45
Step-by-step explanation:
8-12(-3.5)-5
8+42-5
=45
Written as a simplified polynomial in standard form, what is the result when (2x - 7) ^ 2 is subtracted from 1?
Answer:
ans: -4( x-3 )( x-4 ) I.e -4( x² + x - 12 )
Step-by-step explanation:
as per question
1- (2x-7)²
= (1 + 2x - 7)(1- 2x + 7)
= ( 2x - 6)(-2x +8)
= -4(x-3)(x+4)
The simplified form of [tex](2x-7)^{2}[/tex] is [tex]4x^{2} +49-28x[/tex].
And we get, [tex]-4x^{2} -48+28x[/tex] when we subtract [tex](2x-7)^{2}[/tex] from 1.
What is the polynomial?
Polynomials are algebraic expressions that consist of variables and coefficients.
What is the identity for [tex](a-b)^{2}[/tex]?[tex](a-b)^{2} =a^{2} +b^{2} -2ab[/tex]
According to the given question
We have a polynomial [tex](2x -7)^{2}[/tex].
Therefore, the simplified form of [tex](2x-7)^{2}[/tex] is given by
[tex](2x-7)^{2} =(2x)^{2} +(7)^{2} -2(2x)(7)[/tex]
⇒[tex](2x-7)^{2} =4x^{2} +49-28x[/tex]
Therefore, the simplified form of [tex](2x-7)^{2}[/tex] is [tex]4x^{2} +49-28x[/tex].
Now,
[tex]1-(4x^{2} +49-28x)= 1-4x^{2} -49+28x[/tex]
⇒[tex]1-(4x^{2} +49-28x)=-4x^{2} -48+28x[/tex]
Hence, we get [tex]-4x^{2} -48+28x[/tex] when we subtract [tex](2x-7)^{2}[/tex] from 1.
Learn more about polynomials here:
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Simplify variable expressions involving like terms and the distributive property
Answer:
gracias por los puntos xd
Select the correct answer.
Which number is an irrational number?
A. √100
B. 1/8
C. -2.2675
D. ^3√16
The none of no irrational number in the given option.
What is an irrational number?Any real number that cannot be written as the quotient of two integers, p/q, where p and q are both integers, is referred to as an irrational number.
In another word, irrational numbers are those numbers that can not terminate.
For example, √2, and √3 are irrational numbers because they cannot be written as p/q where p and q both should be integers.
Among the given option
A) √100 = 10 which is integer.
B) 1/8 were 1 and 8 both integer.
C) -2.2675 here also it is an integer.
D) [tex]0^{12}[/tex] which is 0 so it is also a rational number.
Hence none of the irrational numbers. It might be possible that there is a typing mistake in the question or in option D there is something else.
For more about the irrational number
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Solve for c.
3c - 15 = -45
Answer:
c = -10
Step-by-step explanation:
For this we can use basic algebra. Add 15 on both sides. This gives us 3c = -30. Divide by 3 on both sides. The final answer is c = -10.
The value of c is -10 in the equation 3c - 15 = -45.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is 3c-15=-45
Three times of c minus fifteen equal to minus forty five.
In the given equation minus is the operator and c is the variable.
We need to solve for variable c
3c-15=-45
Add 15 on both sides
3c-15+15=-45+15
3c=-30
Divide both sides by 3
c=-10
Hence, the value of c is -10 in the equation 3c - 15 = -45.
To learn more on Equation:
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Problem 1 Using the pattern in the image below , how many dots would be in Step 4
Answer:
9 dots
Step-by-step explanation:
each step adds 2 dots every time
HELP PLEASE ITS DUE TODAY!
I'll give brainliest.
Answer:
930=9 hundreds 3 tens
93times10
80=8 tens
320= 3 hundreds 2 tens
8000=8 thousands
I need help in this question
Answer:
the think the answer is €170
because 15000+20/100
= 170
please help due tmr!!!
Answer:
y 4 4x + 2
y< 6 x+3
Step-by-step explanation:
HELP PLEASE! 50 points
Answer:
D. 270°Step-by-step explanation:
mADC = 360° - m∠AOCmADC = 360° - 90° = 270°Correct choice is D
Answer:
D. 270°
Step-by-step explanation:
Find the reciprocal of 9.
the reciprocal of 9 is 1 divided by 9, i.e. 1/9
Quadrilateral GHIJ is similar to quadrilateral KLMN. Find the measure of
side LM. Round your answer to the nearest tenth if necessary.
Answer:
LM = 24.3
Step-by-step explanation:
In terms of similar shapes, we know that the ratio of the value of one side to its corresponding side value is equal to another. In other words, we know that LK and HG are corresponding sides by looking at the quadrilaterals. The ratio of LK to HG is equal to the ratio of another pair of corresponding sides, such as LM and IH.
Therefore, the ratio of LK and HG (LK/HG) is equal to the ratio of LM and IH (LM/IH) . Make sure to keep the same quadrilateral's sides on top/bottom. In this example, LM and LK are on the same quadrilateral, and are therefore both on top. Similarly, IH and HG are of the same quadrilateral and are both on bottom. We can write this as
LK / HG = LM / IH
34/7 = LM / 5
Multiply both sides by 5
34*5/7 = LM
LM ≈ 24.2857
Rounding to the nearest tenth, LM = 24.3
Answer:
24.3
Step-by-step explanation:
5 - 2x^2 = -15 solve the question using inverse operations
Answer:
x= √10 and x= -√10
Step-by-step explanation:
first look to isolate the term with the variable on one side
-5 +5 -2x² = -5 -15; subtract 5 from both sides(inverse of addition)
-2x² = -20; divide both sides by -2 (inverse of multiplication)
x² = 10; square root both sides (the inverse of raising to power of 2)
√x² =√10
x =±√10