5.
For each equation, determine if x = 2 is a solution. Explain or show your reasoning.
a.
-2(x – 4) = 4
b.
26
= 13
C.
-3.8x = -7.4
4(x - 1) – 3(x - 2) = -8
d.
Answers
B. Yes because 26/2 does equals = 13
C. No because -3.8(2) equals -7.6 and not -7.4
D. No because 4(2-1)-3(2-2) equals 4 and not -8
x=2 is a solution of equations -2(x – 4) = 4 and 26/x=13
What is Equation?Two or more expressions with an Equal sign is called as Equation.
-2(x-4)=4
-2(2-4)=4
4=4
Hence, x=2 is the solution
26/x=13
Now x=2
26/2=13
13=13
Hence, x=2 is the solution
-3.8x=-7.4
Now x=2
-3.8×2=-7.4
-7.6=-7.4
x=2 is not a solution of -3.8×2=-7.4
4(x - 1) – 3(x - 2) = -8
4(2-1)-3(2-2)=-8
4=-8
x=2 is not a solution of -3.8×2=-7.4
Hence, x=2 is a solution of equations -2(x – 4) = 4 and 26/x=13
To learn more on Equation:
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Related Questions
When x = 3, y = 4. What is y when x = 12?
Group of answer choices
A)3
B)4
C)12
D)16
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Answer:
A)3
Step-by-step explanation:
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8. When is a/b equal to an integer?
B=0
B<1
B>1
B=1 or -1
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A group of 105 visitors goes on the snow vehicle tour. Each vehicle can carry 9 visitors. How many snow vehicles will be needed for all the visitors?
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Answer:
12 because you have to divide 105 by 9 2inch is 11.6666666... so you round up and get 12
What is the weight of 2 apples? *
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16.67
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Answers
Answer:
0.24
Step-by-step explanation:
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Valerie bought a guitar at a sale price of S = 0.8g, where g represents the original cost of the guitar. Which expression shows the sale price in a way that emphasizes the percent discount that she received? A S = (1 + 0.8). B S= (1 +0.2) g C S= (1 - 0.8). D S = (1 – 0.2) g
Answers
Answer:
D S = (1 - 0.2)g
Step-by-step explanation:
The original price of the guitar was g.
She paid 0.8g.
0.8g = 0.80g = 80% of g
If she paid 80% of the price, that means the discount was 20%.
100% - 20% = 1 - 0.2
Subtracting 20% form the whole 100% of the price is the same as subtracting 0.2 from the whole price of 1.
Answer: D S = (1 - 0.2)g
The average price of a movie ticket in the United States from 1980 to 2000 can be modeled by the expression 2.75 + 0.10x, where x is the number of years since 1980.Which parts of the expression correspond to the cost of movie tickets in 1980 and the increase in price per year? Choose the correct value for each part below. Part A: The cost of movie tickets in 1980 is represented by
Answers
Answer:
[tex]2.75,\ 0.1x[/tex]
[tex]2.75[/tex]
Step-by-step explanation:
In the expression [tex]2.75+0.1x[/tex] the number [tex]2.75[/tex] represents the cost of a movie ticket in 1980 and [tex]x[/tex] represents the years after 1980. So increase per year is represented by [tex]0.1x[/tex].
If the cost of the ticket in 1982 is needed that means 2 years have passed after 1980, [tex]x[/tex] will be [tex]2[/tex].
In 1980, zero years have passed so, [tex]x=0[/tex]
Therefore the cost of movie tickets is represented by [tex]2.75+0.1\times 0=2.75[/tex]
[1/2]^-1 +[1/3]^-1 +[1/4]^-1
is equal to
Answers
Answer:
9
Step-by-step explanation:
[1/2]^-1 +[1/3]^-1 +[1/4]^-1=9
You need to simplify the expression.
You end up with the answer: 9
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Answers
Answer:
[tex]x^{2} -121[/tex] goes with (x+11)(x-11)
[tex]x^{2} +121[/tex] does not have a solution/answer
[tex]16x^{2} -25[/tex] goes with (4x+5)(4x-5)
[tex]25x^{2} -16[/tex] goes with (5x+4)(5x-4)
[tex]x^{2} -50[/tex] does not have a solution/answer
[tex]x^{4}-64[/tex] goes with [tex](x^{2} +8) (x^{2} -8)[/tex]
[tex]x^{2} -144[/tex] goes with (x+12) (x-12)
Step-by-step explanation:
its factoring
Which linear equations have an infinite number of solutions? Check all that apply.
(x – 3\7) = 2\3 (3\2x – 9\14 )
8(x + 2) = 5x – 14
12.3x – 18 = 3(–6 + 4.1x)
1\2(6x + 10) = 7(3\7x – 2)
4.2x – 3.5 = 2.1 (5x + 8)
Answers
Answer:
a) (x – 3\7) = 2\3 (3\2x – 9\14 )
c) 12.3x – 18 = 3(–6 + 4.1x)
Step-by-step explanation:
A linear equation can be said to have an infinite number of solutions when the number of the right hand side is the same at the number on the left hand side of the equation.
For example:
2 = 2 or x = x or 0 = 0
Solving the question above:
Which linear equations have an infinite number of solutions? Check all that apply.
a) (x – 3\7) = 2\3 (3\2x – 9\14 )
x - 3/7 = 6x/6 - 18/42
x - 3/7 = x - 3/7
Collect like terms
x - x = -3/7 + 3/7
0 = 0
The linear equation in option a has an infinite number of solutions
b) 8(x + 2) = 5x – 14
8x + 16 = 5x - 14
Collect like terms
8x - 5x = -14 - 16
3x = -30
x = -30/3
x = -10.
The linear equation in Option b has a true solution.
c) 12.3x – 18 = 3(–6 + 4.1x)
12.3x - 18 = -18 + 12.3x
Collect like terms
12.3x - 12.3x = -18 + 18
0 = 0
The linear equation in Option c has infinite number of solutions
d) 1\2(6x + 10) = 7(3\7x – 2)
6x/2 + 5 = 21/7x - 14
3x + 5 = 3x - 14
Collect like terms
3x - 3x = -14 - 5
0 = -19
The linear equation Option d has no solution
e) 4.2x – 3.5 = 2.1 (5x + 8)
4.2x - 3.5 = 10.5x + 16.8
Collect like terms
4.2x - 10.5x = 16.8 + 3.5
-6.3x = 20.3
x = -20.3/6.3
x = -3.22
Hence, the linear equation in Option e has a true solution
Therefore, the linear equations have an infinite number of solutions are:
a) (x – 3\7) = 2\3 (3\2x – 9\14 )
c) 12.3x – 18 = 3(–6 + 4.1x)
Answer(x – 3\7) = 2\3 (3\2x – 9\14 ) and (12.3x – 18 = 3(–6 + 4.1x)
Step-by-step explanation:
The sum of three times a number and 2.
Answers
Answer:
3x+2
Step-by-step explanation:
3 times (multiply by 3)
"the number" is unknown so that would be x
and 2 is basically adding 2 to the equation so
3x+2
You are given a various set of values: xbar = 12 ybar = 16 r = .46 Sy = 18 Sx = 6 Find a and b, then write them as an equation for a line. b = a = yhat =
Answers
Answer:
Slope, b = 1.38 ; intercept, a = - 0.56 ;
Y = - 0.56 + 1.38x
Step-by-step explanation:
Given that :
xbar = 12
ybar = 16
r = .46
Sy = 18
Sx = 6
The equation of a line can be expressed as :
Y = a + bx
Where ;
a = intercept ; b = slope ; x = independent variable ; y = dependent variable
The slope b ; can be obtained using the relation :
b = r(Sy / Sx)
= 0.46(18/6)
= 0.46(3)
= 1.38
The intercept a, can be obtained using the relation :
Ybar - b(Xbar)
16 - 1.38(12)
16 - 16.56
a = - 0.56
Hence ;
Slope, b = 1.38 ; intercept, a = - 0.56
Th equation of the line will be :
Y = - 0.56 + 1.38x
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Use the numbers:
6 3 5 4 2 1
in that order to make 100. Use brackets and the four operations.
Answers
Answer:
(6*3+5+2)*4/1 or (6*3+4-2)*5/1
Step-by-step explanation:
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Answer:
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Consider 8x2 - 48x = -104.
Write the equation so that
a = 1: x2 + x =
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x= 6+√-16/2
or
x= 6-√-16/2
Answer:
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Step-by-step explanation:
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-48/8
and
-104/8
Estimate 7 x 522 ...
Answers
36.54
Answer: 7 x 522= 3654
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A building 350 feet tall casts a shadow 1/2 mile long. How long is the shadow of a person five feet tall?
Answers
Answer:
37.7 feet
Step-by-step explanation:
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Hiker's Elevation 3,000 Hiking The scatter plot shows a hiker's elevation above sea level during a hike from the base to the top of a mountain. The equation of a trend line for the hiker's elevation is y=9.84x + 651, where x represents the number of minutes and y represents the hiker's elevation in feet. Use the equation of the trend line to estimate the hiker's elevation after 140 minutes.
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Step-by-step explanation:
Determine the coordinates of the point shown
•(1.5 , - 2.5)
•(-2.5 , - 1.5)
•(-5, 3)
•(-2, 1)
Answers
Answer:
There the coordinates of the point are:
(x, y) = (-2.5, 1.5)
Therefore, option 'b' is true.
Step-by-step explanation:
From the coordinate plane, it is clear that the point is located in the 2nd quadrant.
We know that the second quadrant has negative x values and positive y values.
2nd quadrant → (-, +)
The point is clearly located at the location at x=-2.5 and y=1.5
There the coordinates of the point are:
(x, y) = (-2.5, 1.5)
Therefore, option 'b' is true.
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Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answer:
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Answer:
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Step-by-step explanation:
Find QR
QR + RS = QS
18 + x + 2x + 24 = 17
Answers
Answer:
QR = 10
Step-by-step explanation:
QR + RS = QS , substitute values
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Write a rule for the following graph
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Answer:
y = x + 1
Step-by-step explanation:
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4. Which of the following does NOT represent a constant rate of change?
F. (0,0), (9,1), (18,2), (27,3)
G. (0,0), (2,10), (5,13), (11,19)
H. (0,0), (3,2), (9,6), (15,10)
J. (0.0), (4,10), (8,20), (12.30)
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Find the midpoint of segment AB if A(3, 2) and B(-1,4) Select one: O b (2, 1) O b. (1,3) O c. (2,6) O d. (2,3)
Answers
Answer:
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Step-by-step explanation:
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