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3 years ago

-6x + 3 = 15 whats the solution to finding x

Mathematics

1 answer:

Anarel [89]3 years ago

5 0

Answer:

x=-2

Step-by-step explanation:

Subtract 3 from both sides

-6x=15-3

Simplify 15 -3 to 12

-6x=12

divide both sides by -6

x= -12/6

Simplify 12/6 to 2

x=-2

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A plane left 30 minutes late than its schedule time and in order to reach the destination 1500 km away in time it had to increas

schepotkina [342]

Let x= the usual speed
1500/x would equal how long it usually took the plane to read the destination
1500/(x+100) would equal how long it would take the plane now
So $\frac{1500}{x} - \frac{1500}{x+100} = \frac{1}{2}$ because it would lose 30 minutes already
Simplify:
$\frac{1500(x+100)-1500x}{x(x+100)} = \frac{1}{2}$
$\frac{1500x+150000-1500x}{x^2+100x} = \frac{1}{2}$
$\frac{150000}{x^2+100x} = \frac{1}{2}$
$\frac{300000}{x^2+100x} =1$
$300000= x^{2} +100x

x^2+100x-300000=0

x^2+600x-500x-300000=0

x(x+600)-500(x+600)

(x-500)(x+600)

x=500, x \neq -600
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The usual speed was 500 hm/hr

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3 years ago

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wolverine [178]

Answer: Thats very nice :)

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3 years ago

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Pls help me I’m struggling

Leni [432]

Answer: Peter < 65

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2 years ago

Andy cut a tuna sandwich and a chicken sandwich into a total of 21 same size-pieces.He cut the tuna sandwich into 15 more pieces

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3 years ago

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9. Carlos is taking a road trip. So far he has traveled 120 miles at a constant speed of 60 mph. His

Svetradugi [14.3K]

Answer:

Part 1) 300 miles

Part 2) 420 miles

Part 3) 600 miles

Step-by-step explanation:

we have

$d(x)=60x+120$

where

d(x) is the distance in miles

x is the time in hours

Part 1) How many miles will he have traveled after 3 more hours?

we know that

To find the distance, substitute the value of x in the function

For x=3 hours

$d(3)=60(3)+120=300\ mi$

For x=3, d(x)=300

That means -----> After 3 hours Carlos has traveled 300 miles at a constant speed of 60 mph

Part 2) How many miles will he have traveled after 5 more hours?

we know that

To find the distance, substitute the value of x in the function

For x=5 hours

$d(5)=60(5)+120=420\ mi$

For x=5, d(x)=420

That means -----> After 5 hours Carlos has traveled 420 miles at a constant speed of 60 mph

Part 3) How many miles will he have traveled after 8 more hours?

we know that

To find the distance, substitute the value of x in the function

For x=8 hours

$d(8)=60(8)+120=600\ mi$

For x=8, d(x)=600

That means -----> After 8 hours Carlos has traveled 600 miles at a constant speed of 60 mph

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3 years ago