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frutty [35]
2 years ago
12

Find the equation of the linear function represented by the table below in slope-intercept form.

Mathematics
1 answer:
Ilya [14]2 years ago
7 0

Answer:

the desired equation is y = x + 4.

Step-by-step explanation:

Slope is defined as m = rise over run.  Run is the change (usually an increase) in x, and rise an increase or decrease in y.

We see, in the table, that if x increases from 1 to 6 (a 'run' of 5), y increases from 5 to 10 (a 'rise' of 5).  Thus, it's immediately apparent that the slope is m = rise / run = 5 / 5, or just 1.

Using the slope-intercept form of the equation of a straight line, y = mx + b, and the point (1, 5), we calculate b:

5 = 1(1) + b, or b = 4.

Therefore the desired equation is y = x + 4.

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During a company's first full year in business, the price of oil increased $50. In the second year of business, the price of oil
Nonamiya [84]

Answer:

Step-by-step explanation:

Um 150 x 2 divided by 4 i believe

6 0
3 years ago
Please solve equations by completing square
BlackZzzverrR [31]
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x^2-4x+4-3=0\\
(x-2)^2=3\\
|x-2|=\sqrt3\\
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x=2+\sqrt3 \vee x=2-\sqrt3

x^2+6x-9=0\\
x^2+6x+9-18=0\\
(x+3)^2=18\\
|x+3|=\sqrt{18}=3\sqrt2\\
x+3=3\sqrt2 \vee x+3=-3\sqrt2\\
x=-3+3\sqrt2 \vee x=-3-3\sqrt2\\

x^2+20x+3=0\\
x^2+20x+100-97=0\\
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x^2-2x-5=0\\
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8 0
3 years ago
GENGUR
gladu [14]

Answer:

11 cevapppppppppppppp bb

6 0
2 years ago
Simplify (3a^4-2a^2+5-10)-(2a^4+4a^2+5a-2)
katrin [286]

Answer:

Step-by-step explanation:

3a^4 -2a^2 + 5 - 10 -(2a^4 +4a^2 + 5a -2)

as given.. i'm wondering if the 5 in the first group is really 5a.. hmmm

I'm guessing that it is...  soooo distribute the minus sign

= 3a^4 - 2a^2 +5a -10  -2a^4 -4a^2 -5a +2

= a^4 -6a^2 -8   :)  voila that's your answer

7 0
3 years ago
g A coin where the probability of heads is 0.3 is flipped 2000 times. Use the normal approximation to the binomial distribution
matrenka [14]

Title:

<h2>See the explanation.</h2>

Step-by-step explanation:

The coin is to be flipped 2000 times.

The probability of getting a head is 0.3.

It is given that, we need to get a head in between 575 and 618 times.

If we will get 575 heads then we will get (2000 - 575) tails.

Hence, if we take that we want to get n times head, then we will get (2000 - n) times tail.

The probability of not getting a head is (1 - 0.3) = 0.7.

The probability of getting n times head is ^{2000}C_n (0.3)^n \times (0.7)^{2000 - n}.

The required probability is ∑ ^{2000}C_n (0.3)^n \times (0.7)^{2000 - n}, where 575 \leq n \leq 618.

5 0
3 years ago
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