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2 years ago

This pattern follows the rule add 9. What are the next 3 terms?

Mathematics

1 answer:

Evgesh-ka [11]2 years ago

3 0

Next three terms after 27 are 36, 45 and 54.

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-2x = 16–8y x+4y= 25 Solve by substitution

ra1l [238]

Answer:

( $\frac{17}{2}$ , $\frac{33}{8}$

Step-by-step explanation:

Given the 2 equations

- 2x = 16 - 8y → (1)

x + 4y = 25 → (2)

Rearrange (2) expressing x in terms of y by subtracting 4y from both sides

x = 25 - 4y → (3)

Substitute x = 25 - 4y into (1)

- 2 (25 - 4y) = 16 - 8y ← distribute left side

- 50 + 8y = 16 - 8y ( add 8y to both sides )

- 50 + 16y = 16 ( add 50 to both sides )

16y = 66 ( divide both sides by 16 )

y = $\frac{66}{16}$ = $\frac{33}{8}$

Substitute this value into (3) for corresponding value of x

x = 25 - 4 × $\frac{33}{8}$ )

= $\frac{50}{2}$ - $\frac{33}{2}$ = $\frac{17}{2}$

Solution is ( $\frac{17}{2}$ , $\frac{33}{8}$ )

5 0

3 years ago

PLEASE HELP!

wariber [46]

Answer: The maximum value: P = 6x + 7y - 2 is 84 at (5,8).

Step-by-step explanation:

Here, Object of constraint P(max) = 6x + 7y - 2.

And, the system of constraints,

x≤5, y≤(1/5)x + 7, x≥0, y≥0

Since, x= 5 is a line parallel to y-axis.

And at origin it is giving 0≤5 ( false)

Thus the area of inequality x≤5 does not contain the origin.

Now, x -intercept and y-intercept of line y=(1/5)x + 7 are (-35,0) and (0, 7) respectively.

Also, at (0, 0), 0 ≤(1/5)×0 + 7 (true)

Therefore, inequality y≤(1/5)x + 7 will contain the origin.

Now, x≥0, y≥0 shows the first quadrant.

Thus, we get feasible region ABCD.

In which at A≡(0,7), P = 49.

At B≡(5,8), P= 84,

At C≡(5,0), P= 30,

And, D≡(0,0), P= 0

Therefore at B, P is maximum.

8 0

3 years ago

Given that the solution set to a system of three linear equations is a line, which of the following is true about the system?

Setler79 [48]

The correct answer is:

d) The system can only be dependent and consistent.

Explanation:

In order for the solution to a system of equations to be a line, this means that the lines must lie on top of one another. This means they are the same line; the system is consistent since there is at least one solution, and dependent since all of the points in one equation work for the other equations as well.

8 0

3 years ago

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Pamela age is two times Jiri age. the sum of their ages is 87 what is Jiri age

sveticcg [70]

Pamela is 43 years old

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3 years ago

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Evaluate. 58−(14)2= ________

Hunter-Best [27]

Answer: