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3 years ago

Help its easy i just have to much work! i need 4-8

Mathematics

1 answer:

yarga [219]3 years ago

5 0

4. Substituting for y:
.. 7x -(6 -2x) = 3
.. 9x = 9 . . . . . . . . . add 6, collect terms
.. x = 1
.. y = 6 -2*1 = 4
(x, y) = (1, 4)

5. Substituting for x:
.. 3(y -4) +y = 12
.. 4y = 24 . . . . . . . add 12, collect terms
.. y = 6
.. x = 6 -4 = 2
(x, y) = (2, 4)

6. Substituting for x:
.. 4(y -5) -y = 4
.. 3y = 24 . . . . . . . add 20, collect terms
.. y = 8
.. x = 8 -5 = 3
(x, y) = (3, 8)

7. y = 2x -6 . . . . . add 2x to the first equation
Substituting for y:
.. 5x -(2x -6) = 9
.. 3x = 3 . . . . . . . add -6, collect terms
.. x = 1
.. y = 2*1 -6 = -4
(x, y) = (1, -4)

8. x = 2 -3y . . . . . add -3y to the first equation
Substituting for x:
.. y -(2 -3y) = -6
.. 4y = -4 . . . . . . . add 2, collect terms
.. y = -1
.. x = 2 -3*(-1) = 5
(x, y) = (5, -1)

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2 years ago

Two planes start flying towards each other simultaneously from two different cities. The distance between the cities is 960 mile

ANTONII [103]

Answer:

257.5 mph

332.5 mph

Step-by-step explanation:

The initial distance between the two planes is 960 miles, while the final distance (after t=1.5 h) is 75 miles, so the total distance covered by the two planes in 1.5h is

$d=960-75=885$ miles

Calling v1 and v2 the velocities of the two planes, we have the following equations:

(1) $v_1 = v_2 + 75$ --> velocity of plane 1 exceeds velocity of plane 2 by 75 mph

(2) $v_1 t+ v_2 t=885$ --> the total distance covered by the two planes is 885 miles (t=1.5 h is the time, and the products v1 t and v2 t represent the distance covered by each plane)

Substituting t=1.5 h, the second equation becomes:

$1.5 v_1+1.5 v_2=885\\v_1 + v_2 = 590$

By substituting (1) into this last equation, we find:

$(v_2+75)+v_2 = 590\\2v_2 + 75 = 590\\2v_2 = 515\\v_2=257.5$

And substituting this back into eq.(1), we find

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So, the speeds of the two planes are

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2 years ago

Solve the compound inequality n-4 > 5 AND 2 > n + 3

Papessa [141]

Get n by itself in both inequalities

(This program doesn't allow for regular less than or greater than signs, so for the purposes of this problem I will be using less than or equal to (≤) and greater than or equal to (≥) signs)

Inequality 1:
$n-4 \geq 5 \\ n \geq 9$

Inequality 2:
$2 \geq n+3 \\ -1 \geq n$

Now that you have both of the n's by themselves, you can put the two inequalities together, like this
$-1 \geq n \geq 9$

Just keep in mind that these are supposed to be regular less than signs

5 0

3 years ago