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Mathematics

1 answer:

pishuonlain [190]2 years ago

3 0

2x2 [4x 3x]
[12x 8x] I found the answer on the app math papa.

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If f(1)=10 and f(n)=-5f(n-1)-2 then find the value of f(4)

Flura [38]

Answer:

$\large\boxed{f(4)=-1292}$

Step-by-step explanation:

$f(n)=-5f(n-1)-2\\\\f(1)=10\\\\f(2)=-5f(2-1)-2=-5f(1)-2\\\text{put}\ f(1)=10:\\f(2)=-5(10)-2=-50-2=-52\\\\f(3)=-5f(3-1)-2=-5f(2)-2\\\text{put}\ f(2)=-52\\f(3)=-5(-52)-2=260-2=258\\\\f(4)=-5f(4-1)-2=-5f(3)-2\\\text{put}\ f(3)=258\\f(4)=-5(258)-2=-1290-2=-1292$

4 0

3 years ago

Make an standard form equation based on this graph.

OLga [1]

Answer:

y = -1/4x - 2

Step-by-step explanation:

Step 1: The y-intercept is on the y-axis line. The y-intercept in this graph is -2.

Step 2: To find the slope. The line is going downwards so that helps us know that the slope is going to be negative. You want to get the bottom point to the top. So move upwards 1 time and move 4 times to the left.

Step 3: Now just put everything together.

3 0

3 years ago

What is the equation of the graphed line in point-slope form?

Flura [38]

We first need to find the gradient of the line
$\frac{y_{2}- y_{1} } {x_{2}-x_{1} } = \frac{-3-1}{-3-3}= \frac{-4}{-6}= \frac{2}{3}$

From the graph, we see the graph intercepts y-axis at -1

Hence, the equation of the line is $y= \frac{2}{3}x-1$