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3 years ago

Find x in the image above

Mathematics

1 answer:

Nikolay [14]3 years ago

5 0

Answer:

3.96

Step-by-step explanation:

3.3÷5=0.66

6×0.66=3.96

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Write the standard form of the equation of line through (3, -1) with a slope of -1.

kirill115 [55]

The standard form of a line: $Ax+By=C$ .

The point-slope form: $y-y_1=m(x-x_1)$

We have the point (3, -1) and the slope m = -1. Substitute:

$y-(-1)=-1(x-3)$

$y+1=-x+3$ add x to both sides

$x+y+1=3$ subtract 1 from both sides

$\boxed{x+y=2}$

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cestrela7 [59]

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3 years ago

T-6=8-t how do solve? pls include steps

umka2103 [35]

First, add t to each side:
2t - 6 = 8
Add 6 to each side:
2t = 14
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t = 7

Hope this helps!! :)

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3 years ago

Given f(x) and g(x) = f(x + k), use the graph to determine the value of k.

dedylja [7]

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
Therefore the value of k is 4.

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3 years ago