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3 years ago

What is the discriminant of 32x-4= 4x^2 + 60

Mathematics

1 answer:

hodyreva [135]3 years ago

4 0

Step One

Begin by getting one side of the question equal to zero.

32x -4 = 4x^2 + 60 Add - 32x + 4 from both sides.

0 = 4x^2 + 60 - 32x + 4 Collect like terms.

0 = 4x^2 - 32x + 64

Step Two

For this question, you could divide both sides by 4. It just makes the steps later on easier.

0 = x^2 - 8x + 16

Step Three

Calculate the discriminate.

The discriminate is b^2 - 4*a*c

a = 1; b = -8; c = 16

b^2 - 4*a*c = (-8)^2 - 4*(1)(16) = 64 - 64 = 0

There is only 1 root. It is real and it is rational.

A <<<<< Answer

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The ADMHS football team is trying to raise money to buy new equipment so the players are selling "Jaguar Cards" for $20 each. If

alekssr [168]

Answer:

The inequality to represent the situation is $20x\geq 3000$ and the team must sell at least $15$ "Jaguar Cards".

Step-by-step explanation:

Given: The ADMHS football team is trying to raise money to buy new equipment so the players are selling "Jaguar Cards" for $\$20$ each.

If the football team needs to raise at least $\$3,000$ for equipment.

To find: The inequality to represent the situation and the least number of "Jaguar Cards" the team must sell.

Solution:

Let the ADMHS football team sold $x$ "Jaguar Cards" for $\$20$ each.

Now, the football team needs to raise at least $\$3,000$ for equipment.

So, the inequality to represent the situation is $20x\geq 3000$ .

Now, on solving we get,

$20x\geq 3000$

$\implies x\geq \frac{300}{20}$

$\implies x\geq 15$

Hence, the inequality to represent the situation is $20x\geq 3000$ and the team must sell at least $15$ "Jaguar Cards".

4 0

3 years ago

Which of the following improper fractions is equivalent to the mixed number 4 2\3 ?

Alex787 [66]

The improper fraction form of 4 2/3 would be 14/3, if that is one of the choices.

4 0

3 years ago

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A line has a slope of -2/3 and passes through the point (-3,8). What is the equation of the line?

LiRa [457]

Answer:

Step-by-step explanation:

We'll use the standard equation y=mx+b to solve this problem. m is the slope of the line and b is the y intercept.

We know the slope, but we have to solve for the y intercept. To do this (I mean solve for 'b'), we need to know the slope, x value, and y value. We know the slope (-2/3), x= -3, and y=8. Let's plug this into y=mx+b and solve for b.

$y=mx+b\\8=-\frac{2}{3}*-3 +b\\8=2+b\\b=8-2\\b=6$

Let's plug all of this back into the first equation y=mx+b.

$y=mx+b\\y=-\frac{2}{3}x+6$

That's the answer to this problem.

I hope this helps.

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2 years ago

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Como podríamos saber cuantos camellos le corresponden a cada hermano en realidad

SCORPION-xisa [38]

Answer:

Eldest brother = 18 camels

2nd brother = 12 camels

Youngest brother = 4 camels

Step-by-step explanation:

Question posted:

How could we know how many camels actually correspond to each brother?

It is from "the man who calculated":

The question is incomplete without the background information.

Based on the question, It has to do with sharing an inheritance of 35 camels among 3 brothers.

"The man who calculated", by Malba Tahan.

Since the complete question isn't available, we are going to look at the following question to understand how to do the calculation.

Question:

How can an inheritance of 35 camels be divided among three brothers in such a way that the eldest brother gets half of them, the second one gets 1/3 of the total and the youngest brother gets 1/9 of the total camels?

Solution:

Total number of camels= 35

Eldest brother gets half: 1/2 of 35 gives a fraction and not an whole number

2nd brother = 1/3 of 35 (gives a fraction)

3rd brother = 1/9 of 35 (gives a fraction)

Since we can't have a camel in fraction except in whole number, we would look for the closest number to 35 that would be divided by 2, 3 and 9 respectively without giving a fraction.

Number 36 is the closest number to 35 that satisfies this condition.

1st brother = 1/2 × 36 = 18 camels

2nd brother = 1/3 × 36 = 12 camels

3rd brother = 1/9 × 36 = 4 camels

Now let's add the camels the 3 brother got together = 18 + 12 + 4 = 34 camels

Total camels - amount shared = 35 -34 = 1

Meaning one camel is remaining. The distributor would keep the remaining one as that's the way such distributions could be achieved.

8 0

3 years ago

4000 / 19=<br>4000 / 19=

katrin2010 [14]

Answer:

210.53

Step-by-step explanation:

here

hope it helps

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2 years ago