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Irina-Kira [14]
4 years ago
9

Find an equation of the line that (a) has y-intercept of -8 and (b) is parallel to the line 6 x − 1 y = 7 6x-1y=7 . Write your a

nswer in the form y = m x + b y=mx+b .
Mathematics
1 answer:
faust18 [17]4 years ago
7 0

Answer:

The equation of the line in the slope-intercept form is:

\:y=6x-8

Step-by-step explanation:

The slope-intercept form of the equation of a line is

y\:=\:mx\:+\:b

As y intercept is -8, we have

y\:=\:mx\:-8

Since the line is parallel to 6x-y=7, then it has the same slope.

Let's put this equation in y\:=\:mx\:+\:b  form and find the slope

6x-y=7

y=6x-7

Thus, the slope is :

m = 6

Now we can finish the equation of the line in the slope-intercept form

y\:=\:mx\:+\:b

\:y=6x-8           ∵ m = 6, b = -8

Therefore, the equation of the line in the slope-intercept form is:

\:y=6x-8

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vfiekz [6]

Answer:

c. g(x) = 4x^2

Step-by-step explanation:

From a first glance, since g(x), is skinnier than f(x), meaning that it is increasing faster, so I know that I can eliminate options A & B since the coefficient on x needs to be greater than 1.

We can then look and see that g(1) = 4 as shown by the point given to us on the graph.

To find the right answer we can find g(1) for options C & D and whichever one matches the point on the graph is our correct answer. e

Option C:

once we plug in 1 for x, our equation looks like

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Option D:

once we plug in 1 for x, our equation looks like

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so g(1) = 16. and our point is (1,16).

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3 0
3 years ago
Help me out please i will give branliest and 25 points !!!
Margarita [4]

Answer:

Answers A (1/3), C (4/15) and D (5/6) are all repeating decimals.  

Step-by-step explanation:

Repeating decimals are decimals in which a number or sequence of numbers is repeated over and over when dividing the numerator by the denominator of a fraction.  For example, when you divide 1 by 3 (1/3), you will get a repeating decimal of 0.3333...since 3 goes into 10 three times with a remainder of 1 and will keep going.  Likewise, when you divide 4/15, you get an initial value of 0.2, with a repeating 6, or 0.266666...  Lastly, when you divide 5/6, you will get a repeating decimal of 0.833333....  The other answers will all be terminating decimals when you divide the numerator by the denominator.  Terminating decimals mean the stop at some point and don't continue.  

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3 years ago
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The circumference of a circle can be found using the formula C = 2r. Which is an equivalent equation solved for r? r = C r = C(2
vaieri [72.5K]

Answer:

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Step-by-step explanation:

we know that

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Divide by 2π both sides

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Simplify right side

\frac{C}{2\pi}=r

Rewrite

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so

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