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nexus9112 [7]
3 years ago
8

What's the Discriminant of X^2-2X-15 ?

Mathematics
1 answer:
Nesterboy [21]3 years ago
3 0
The discriminant is the  secion inside the double parenthasees [()] below in the quadratic formulat which is
x=\frac{-b+ \sqrt{[(b^{2}-4ac)]} }{2a}

the determinant determines or tells whether the answer is real or imaginary
if it is negative, then it is imaginary, if positive, then it is real
 so basically the discriminmant is b^{2}-4ac

so ax^2+bx+c
a=x^2-2x-15

a=1
b=-2
c=-15

subsitute
-2^{2}-4(1)(-15)=4-4(1)(-15)=4+60=64
the discriminant is (-2^{2}-4(1)(-15)) or 64
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The distance traveled by a certain vehicle varies directly to the amount of fuel the vehicle consumes. The vehicle traveled 90 m
olga_2 [115]

Answer:

The vehicle covers 126 miles on 7 gallons of fuel.

Step-by-step explanation:

Given:

The distance traveled is directly proportional to the amount of fuel.

For F gallons of fuel distance traveled D miles can be given as:

D ∝ F

D=kF

where k is constant of proportionality.

The vehicle covers D=90 miles on F=5 gallons.

So

90=k(5)

Dividing both sides by 5.

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When F=7 gallons

D=(18)(7)

D=126 miles

∴ The vehicle covers 126 miles on 7 gallons of fuel.

4 0
3 years ago
At Greenwood Landscaping, rock costs $47.50 per ton. How much would 2.5 tons cost?
Grace [21]

Answer:

Hey!

Your answer is $118.75!

Step-by-step explanation: How did I get this?

<u>STEP 1:</u> So we know that for a ton of rock costs us $47.50...

To get 2 tons all we have to do is to MULTIPLY $47.50 by 2...

<em><u>(47.50 x 2 = 95)</u></em>

<u>STEP 2: </u>So for $95, you will get 2 tons of rock!

Now to get the .5 tons of rock in price form, we have to get the price of the whole 2.5 tons and DIVIDE BY 2

<em><u>(47.50 ÷ 2 = 23.75)</u></em>

<u>STEP 3:</u> So now we have the costs for 2 tons and the price for HALF a ton.

What we do now is easy...we ADD THE VALUES TOGTHER!

<em><u>(95 + 23.75 = $118.75)</u></em>

The result of $118.75 after adding them together is the PRICE OF 2 TONS!

<u>I HOPE THIS HELPED YOU!</u>

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