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Fantom [35]
3 years ago
15

Find the common difference in the outputs to help find the missing outputs in the table

Mathematics
2 answers:
WINSTONCH [101]3 years ago
8 0

Answer:

if you are trying to find the rest of A it would be adding by 1 because of the slope so: 5,6,7,8,9,10. The slope of B wouldbe .8 because it is increasing by .8 everytime so: 3.8,4.6,5.4,6.2,7.0

Step-by-step explanation:

B) 4.6-3.8= .8

5.4-4.6= .8

slope is .8

5.4+.8=6.2

6.2+ .8= 7.0


ipn [44]3 years ago
6 0

Answer:


Step-by-step explanation:

Common difference in the outputs b is 0.8

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Given f(x) and g(x) = f(x + k), use the graph to determine the value of k.
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g(x) is basically transformed f(x). First, let's focus on f(x) graph. Notice how the graph has slope of 1 and intersect y-axis at (0,0).

Which means that our equation for f(x) is:

\large{f(x) = x}

Now then we focus on g(x). g(x) is f(x+k). That means if f(x) = x then f(x+k) would mean substitute x = x+k in the equation.

\large{f(x + k) = x + k }\\  \large{g(x) = x + k}

Next, we want to find the value of k. In the slope-intercept form or y = mx+b where m = slope and b = y-intercept. Notice the g(x) graph and see that the graph intersects y-axis at (0,4). Therefore k = y-intercept = 4.

\large{g(x) = x + 4}

Answer

  • g(x) = x+4
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Reduced form of 2ab^2-a^2 b^2/5
Ket [755]

Answer:

2ab^2-\frac{a^2b^2}{5}=\frac{10ab^2-a^2b^2}{5}

Step-by-step explanation:

Given the expression

2ab^2-\frac{a^2b^2}{5}

\mathrm{Convert\:element\:to\:fraction}:\quad \:2ab^2=\frac{2ab^25}{5}

2ab^2-\frac{a^2b^2}{5}=\frac{2ab^2\cdot \:5}{5}-\frac{a^2b^2}{5}

\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}

                 =\frac{2ab^2\cdot \:5-a^2b^2}{5}

                 =\frac{10ab^2-a^2b^2}{5}

Thus,

2ab^2-\frac{a^2b^2}{5}=\frac{10ab^2-a^2b^2}{5}

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