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swat32
4 years ago
15

Help please detail would be great

Mathematics
1 answer:
Olin [163]4 years ago
7 0
At first sight of the denominator on the right, g^2-16, we know that g=4 and g=-4 are not admissible.

To confirm, cross-multiply,
3(g^2-16)=(g+2)(2g+8)
Expand and simplify,
3g^2-48=2g^2+12g+16
g^2-12g-64=0
Solve by factoring,
(g-16)(g+4)=0
so g=16 or g=-4.
Since g=-4 will give a zero denominator on the right-hand side, it is inadmissible, and hence extraneous.

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Shelly has a beaker with 5 2/3 fluid ounces of water. She pours out 3 1/3 fluid ounces of water. Which expression can be used to
lord [1]

Answer:

option A

Expression 5\frac{2}{3} - 3 \frac{1}{3} tells the remain in the beaker.

Step-by-step explanation:

Given in the question,

amount of fluid present in the beaker = 5 2/3 ounce

amount of fluid Shelly took from the beaker = 3 1/3 ounce

To find the amount left after Shelly took water from the beaker

5\frac{2}{3} - 3 \frac{1}{3}

= 7/3 amount left

5 0
3 years ago
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What is the format of this proof?
elena55 [62]
Divide b from both sides then it should be a equal C therefore if you add be it be the midpoint of a and C because BNB or equal to a C
4 0
3 years ago
What is the slope of the line through the points (4, -7) and (9, 2)?
ira [324]

the answer

y/x so its 9/5

3 0
3 years ago
A system of equations is created by using the line represented by 2 x 4 y = 0 and the line represented by the data in the table
Marta_Voda [28]

Solution to a system of equation is values of variables true for all equations of that system.The x-value of solution to the given system is 2

<h3>How to find the solution to the given system of equation?</h3>

For that , we will try solving it first using the method of substitution in which we express one variable in other variable's form and then you can substitute this value in other equation to get linear equation in one variable.

If there comes a = a situation for any a, then there are infinite solutions.

If there comes wrong equality, say for example, 3=2, then there are no solutions, else there is one unique solution to the given system of equations.

<h3>What is the equation of a line passing through two given points in 2 dimensional plane?</h3>

Suppose the given points are (x_1, y_1) and (x_2, y_2) , the n the equation of the straight line joining both two points is given by

(y - y_1) = \dfrac{y_2 - y_1}{x_2 - x_1} (x -x_1)

The first equation is 2x + 4y = 0

Since the second equation of line contains points given, let we consider two points,

(x_1, y_1) = (-1,8)\\(x_2, y_2) = (3, -4)

Then, the equation of line is found as:

(y - y_1) = \dfrac{y_2 - y_1}{x_2 - x_1} (x -x_1)\\\\(y - 8) = \dfrac{-4-8}{3-(-1)}(x - (-1))\\\\y = -3(x + 1) + 8\\\\3x + y = 5

Thus, the system of equations is

2x + 4y = 0\\3x + y = 5

From second equation, getting y in terms of x(since its easy as y has 1 as coefficient), we get:

3x + y = 5\\y = 5 - 3x

Putting this value of y in first equation, we get:

2x + 4y = 0\\\\2x + 4(5-3x) = 0\\20 = 10x\\x=  2

Putting this value of x in expression  for y, we get:

y = 5 - 3x = 5 - 6 = -1

Thus, the solution to the system of equations obtained is (x,y) = (2,-1)

Thus, The x-value of solution to the given system is 2

Learn more about system of equations here:

brainly.com/question/13722693

4 0
2 years ago
Help meh ill mark you
Nadya [2.5K]
Convert 6 2/7 into an improper fraction (44/7).

(44/7+5/7)-2/5

Answer: 7-2/5
7 0
3 years ago
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