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Fofino [41]
3 years ago
15

Which number should you divide on each side of this equation in order to isolate g? 7g=75+d-12x

Mathematics
1 answer:
xz_007 [3.2K]3 years ago
7 0
Divide both sides by 7
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If the 9th term of an ap is 1/7 and the 7th term os 1/9 find the 63rd term
Mnenie [13.5K]

Answer:

a_{63} = 1

Step-by-step explanation:

The n th term of an arithmetic progression is

a_{n} = a + (n - 1)d

where a is the first term and d the common difference

use the 9 th term and 7 th term to find a and d

a_{9} = a + 8d = \frac{1}{7} → (1)

a_{7} = a + 6d = \frac{1}{9} → (2)

Subtract (2) from (1) term by term

2d = \frac{2}{63} ⇒ d = \frac{1}{63}

Substitute this value into (2) and solve for a

a + \frac{6}{63} = \frac{1}{9}

a = \frac{1}{9} - \frac{6}{63} = \frac{1}{63}

Hence

a_{63} = \frac{1}{63} + \frac{62}{63} = 1


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How to graph f(x)=(x-2)^2+5
tatyana61 [14]

That's a quadratic, a nice parabola in vertex form.


The parabola has a positive x^2 term, so it's a CUP, concave up positive. It will have a minimum at the vertex, which is (2,5). Plot that point.


Now we need a couple of guide points to draw the usual parabola going up from both sides of its vertex. We try x=0 giving (0,9) and see that x=4 also gives 9, (4,9). Plot the parabola through those two points and the vertex and you're done.



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