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3 years ago

Why will the value of y for the function y equals 5x + 1 always be greater than that of y equals 4x + 1 with X greater than 1?

2 answers:

4 0

You mean
the linear equations, 5x-y+1=0,4x-y+1=0
the slopes are 5 and 4 respectively.
it is clear that slope of first equation is greater that is it has a steeper graph therefore it Will always be greater than the other for x > 1
the same can be done by calculus; differentiation.

note y=5x+1 is always greater than y=4x+1 for all x>1

Yanka [14]3 years ago

4 0

Because 5 times any number > 1 will always be greater then 4 times any number > 1.

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What is the area of this triangle?

grin007 [14]

Answer:

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3 0

3 years ago

Y=10x+2<br> y=8x+2x+2<br> How many solutions

Luba_88 [7]

Simplify y=8x+2x+2: y=10x+2
Same as equation y=10x+2
Therefore it has infinitely many solutions

4 0

3 years ago

A large truck has two fuel tanks, each with a capacity of 150 gallons. Tank 1 is half full, and Tank 2 is empty.

12345 [234]

Answer:

1) $G(t) = 75 + \frac{23}{4}t\\$

2) After 8 minutes delivering fuel the tanks will have 121 gallons of fuel

Step-by-step explanation:

1) For generating the equation we have to take into account that in the tanks there is a initial volume of fuel that corresponds to 75 gallons, as it is stated that tank one is half full. As the capacity for tank 1 is of 150 gallons, half of the tank equals to:

$\frac{150}{2} = 75 gallons$

Now we have to convert the rate of delivery that is expressed as a mixed number to an improper fraction so:

$5\frac{3}{4} = \frac{(5x4)+3}{4} = \frac{23}{4}$

Then the pumping rate is of 23/4 gallons per minute, to get how many gallons are in the tank we just need to multiply this rate by the time in minutes, and as there is an initial volume we have to add it, so we have the following equation:

$G(t) = 75 + \frac{23}{4}t\\$

2) To know how much fuel is in the tank after 8 minutes we have to replace this time in the previous equation so we have

$G(t) = 75 + \frac{23}{4}t\\G(8) = 75 + \frac{23}{4}(8)\\G(8) = 75 + 23(2)\\G(8) = 75 + 46\\G(8) = 121 gallons$

After 8 minutes delivering fuel the tanks will have 121 gallons of fuel

8 0

3 years ago

What is the perimeter of a rectangle is 154 feet. the length of the rectangle is 55 feet. what is the width of the rectangle? th

velikii [3]

Perimeter= (2 x Length) + (2 x width)
Do to find width:
Width= perimeter - (2 x length)
So now substitute in an equation
W= 154 - (55 x 2)
W= 154-110= 44
Remember 44 would equal the width when it is multiplied by 2. Now you have to divide by 2 to get the original.

Answer is 22

5 0

3 years ago

Can someone help me!!!!!!!!!!!!

Gelneren [198K]

KU and UM are equal to each other.
KU = 3x + 3
UM = 4x - 4
3x + 3 = 4x - 4
3x = 4x - 7
-x = -7
x = 7

If you plug that into either one of the equations, you get 24.
3(7) + 3
24

So depending on your question, x is 7, KU is 24, and UM is 24.

6 0

4 years ago