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stich3 [128]
3 years ago
7

The graph of a linear function has a slope of 5, and it passes through the point (–7, 5). What is the value of the dependent var

iable when the independent variable is equal to 2?
Mathematics
1 answer:
AlladinOne [14]3 years ago
7 0

If we would have assigned a different value for x, the equation would have given us another value for y. We could instead have assigned a value for y and solved the equation to find the matching value of x.

In our equation y=x+7, we have two variables, x and y. The variable which we assign the value we call the independent variable, and the other variable is the dependent variable, since it value depends on the independent variable. In our example above, x is the independent variable and y is the dependent variable.

A function is an equation that has only one answer for y for every x. A function assigns exactly one output to each input of a specified type.

It is common to name a function either f(x) or g(x) instead of y. f(2) means that we should find the value of our function when x equals 2.


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3 years ago
Solve the following equation 2/3x+6=1/2x+1/4x
Vanyuwa [196]

Answer:

x= 72

Step-by-step explanation:

combine the Xs on one side and then make the denominators the same and solve

8/12X +6 = 3/4X

sub 6 on both sides

then sub 3/4 (aka. 9/12)

-1/12X= -6

multiply by reciprocal (the fraction flip-flopped)(-12) on both sides

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3 years ago
HELPPPPP ASAP!!!! Thx!! and NOOO FILESSSS!!
tiny-mole [99]

Answer:

x=32°

Step-by-step explanation:

The law of sines is a property of all triangles that relates the sides and angles of a triangle. This property states the following:

\frac{sin(a)}{A}=\frac{sin(b)}{B}=\frac{sin(c)}{C}

Where side (A) is the side opposite angle (<a), side (B) is the side opposite angle (<b), and side (C) is the property opposite angle (<c).

Substitute each of the sides and respective angles into the formula, and solve for the unknown angle (<x). Please note that a triangle with two congruent sides (referred to as an isosceles triangle) has a property called the base angles theorem. This states that the angles opposite the congruent sides in an isosceles triangle are congruent. Therefore, there can be two (<x)'s in this triangle.

\frac{sin(a)}{A}=\frac{sin(b)}{B}=\frac{sin(c)}{C}

\frac{sin(x)}{10}=\frac{sin(116)}{17}=\frac{sin(x)}{10}

One can shorten the equation so it only holds the parts that will play a role in solving this equation,

\frac{sin(x)}{10}=\frac{sin(116)}{17}

Now take the cross product in this equation to simplify it further,

\frac{sin(x)}{10}=\frac{sin(116)}{17}

17(sin(x))=10(sin(116))

Inverse operations, solve this equation for (x),

17(sin(x))=10(sin(116))

sin(x)=\frac{10(sin(116))}{17}

x=sin^-^1(\frac{10(sin(116))}{17})

x=31.91782...

x\approx32

4 0
3 years ago
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Answer:

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Step-by-step explanation:

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7 0
1 year ago
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2a+b=15.7 what’s the possible values of b
Fiesta28 [93]

Answer:

b = 15.7 -2a

Step-by-step explanation:

You are asking us to solve for b

2a +b = 15.7

Subtract 2a from each side

2a-2a+b = 15.7 -2a

b = 15.7 -2a

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