The next term in a sequence Comes from adding the

Mathematics

1 answer:

Leno4ka [110]3 years ago

6 0

Answer:

Step-by-step explanation:

Each new term is the sum of the two preceding terms. Given 2, 9, etc., we see that a number between 2 and 9 is missing; call it x. Then 2 + x must equal 9, and so x = 7, and so the first three terms are 2, 7, 9. Repeating the process, we add 7 and 9, obtaining 16; thus the first four terms are 2, 7, 9, 16. Continuing this pattern, we add 9 and 16 to obtain the fifth term, which is 25: 2, 7, 9, 16, 25. And so on.

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Find the output for the graph y = -6x + 25 when the input value is 3. = y = [?]

avanturin [10]

Answer

$x=\frac{11}{3}$

Explanation

Based on the given conditions, formulate:: $y=3$

Substitute $y=3$ into $y=-6x+25$ :: $3=-6x+25$

Rearrange variables to the left side of the equation: $6x=25-3$

Calculate the sum or difference: $6x=22$

Divide both sides of the equation by the coefficient of variable: $x=\frac{22}{6}$

Cross out the common factor: $x=\frac{11}{3}$

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2 years ago

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kirill115 [55]

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4 years ago

Share 3200 ml of water in the ratio 4:1:3

Amiraneli [1.4K]

Answer:

1600 ml, 400 ml, 1200 ml

Step-by-step explanation:

Given ratios are: 4:1:3

Let the shares of the given ratios be 4x, x, 3x

$\therefore \: 4x + x + 3x = 3200 \\ \\ \therefore \: 8x = 3200 \\ \\ \therefore \: x= \frac{ 3200}{8} \\ \\ \therefore \: x=400 \\ \\ \implies \\ 4x = 4 \times 400 = 1600 \\ \\ 3x = 3 \times 400 = 1200 \\ \\$