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UkoKoshka [18]
3 years ago
11

What is the initial value in the function 2x + 3y = 6?

Mathematics
1 answer:
maw [93]3 years ago
5 0
<h2>Explanation:</h2><h2></h2>

The initial value of this function is the y-intercept. We know that the slope-intercept form of the equation of a line is given by:

y=mx+b \\ \\ \\ Where: \\ \\ \\ m:slope \\ \\ b:y-intercept

Writing our equation in slope intercept form:

2x + 3y = 6 \\ \\ \\ \text{Subtract 2x from both sides}: \\ \\ 2x -2x+ 3y = 6-2x \\ \\ 3y=6-2x \\ \\ \\ \text{Divide both sides by 3}: \\ \\ y=\frac{6-2x}{3} \\ \\ y=-\frac{2x}{3}+2

So the initial value is:

b=3

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Angles 1 and 2 are supplementary. 2 lines intersect to form angles 1 and 2. which equation represents the relationship between t
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Answer:

angle 1+angle 2 = 180 degrees

Step-by-step explanation:

when 2 angles are supplementary, they equal 180 degrees when they are added up. Because angles 1 and 2 are supplementary, this means that angle 1 + angle 2 equals 180 degrees.

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The TV has a volume of 2,808 in³. The width measures 24 inches, and the height measures 18 inches. What is the depth of the TV?
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2 years ago
Write the equation of the line that is perpendicular to the line y = 2x + 2 and passes through the point (6, 3).
weeeeeb [17]

Answer:

\[y = (-1/2) * x + 6\]

Step-by-step explanation:

Equation of the given line: y=2x+2

Hence the slope of the line is given by 2

Any line which is perpendicular to the given line will have a slope m such that m*2 = -1

Or, \[m = \frac{-1}{2}\]

Only options 2 and 3 satisfy this condition.

The line is also supposed to pass through the point (6,3).

Substituting these values in the option 2:

\[3 = (-1/2) * 6 + 3\]

Or, \[ 3 =0 \] which is false . Hence option 2 is not valid.

Now substituting (6,3) in option 3:

\[3 = (-1/2) * 6 + 6\]

Or, \[ 3 =3 \] which is true . Hence option 3 is the required equation of the line.

5 0
3 years ago
how much money will you have in 10 years if you invest $12,000 at a 3.3% annual rate of interest compounded quarterly?
Andrej [43]

Answer:

The amount is $16718.7 and the interest is $4718.7.

Step-by-step explanation:

STEP 1: To find amount we use formula:

A=P(1+rn)n⋅t

A = total amount

P = principal or amount of money deposited,

r = annual interest rate

n = number of times compounded per year

t = time in years

In this example we have

P=$12000 , r=3.33% , n=4 and t=10 years

After plugging the given information we have

AAAA=12000(1+0.03334)4⋅10=12000⋅1.00832540=12000⋅1.393225=16718.7

STEP 2: To find interest we use formula A=P+I, since A=16718.7 and P = 12000 we have:

A16718.7II=P+I=12000+I=16718.7−12000=4718.7

4 0
3 years ago
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