How do you solve this problem?

Mathematics

1 answer:

Kaylis [27]3 years ago

8 0

Answer:

x=-7,y=-2

Step-by-step explanation:

2y=-32-4x

y=-16-2x

7x+(-16-2x)=-51

5x-16=-51

5x=-35

x=-7

Red

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If D varies directly with t and D is 105 when t is 3 find D when t is 8

gladu [14]

If D varies directly with t and D is 105 when t is 3 then value of D when t is 8 is equal to 280

<u>Solution:</u>

In this sum we have been given that there is a direct relationship between d and t.

If d is 105 when t is 3 so now, we need to find d when t is 8.

To do this we can simply use the unitary method. The definition of unitary method is, the unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Now, according to the definition we need to find the value of d when t is 1.

This can be done as follows:

$D=\frac{105}{3}=35$

Therefore, the value of d when t = 1 is 35.

Now, if the value of t=8 then d becomes:

$D=35 \times 8=280$

Hence, when t=8 the value of d is 280.

3 0

3 years ago

These are the first six terms of a sequence with a1=3 and a2=1: 3, 1, 8, 18, 52, 140, … Find a recursive formula for this sequen

dangina [55]

If you add the first two elements (3,1) and multiply the result by 2, you get the third element (8).
In general, to find any element from a3 onwards, you add the previous two and double the result.

As a recursive formula, it will be like:
$a_{1} = 3, a_{2} = 1, a_{n}=a_{n-1} + a_{n-2}$