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lianna [129]
3 years ago
7

What’s is the product of the two solutions of the quadratic equation ax^2+bx+c=0

Mathematics
1 answer:
Evgesh-ka [11]3 years ago
7 0

The product of the two roots is c/a.

_____

Consider the equation

... a(x -p)(x -q) = 0

which has solutions x=p and x=q.

When multiplied out, it becomes ...

... a(x² -(p+q)x +pq) = ax² -a(p+q)x +apq = 0

When apq = c, the product pq is c/a.

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Can some one help me with this
tangare [24]

Answer:

t=(-13)

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

12t−8t=−52

12t+−8t=−52

(12t+−8t)=−52(Combine Like Terms)

4t=−52

4t=−52

Step 2: Divide both sides by 4.

4t /4 = −52 /4

7 0
3 years ago
Read 2 more answers
A restaurant bill comes to 39.24 fine the total when tax is 7% and tip is 15%
xz_007 [3.2K]

Answer:

hjv j

Step-by-step explanation:

  kkj

8 0
3 years ago
65 POINTS!!! Amy works at the Apple Store at a commission rate of 3%. Ipads are 18% off on Mac Mondays. She helps a customer who
klio [65]

Answer:

  1. The first mistake was in not taking 18% off the iPad price. A second mistake was in using an incorrect value for the sales tax multiplier. Those two mistakes together are why the answer is incorrect.
  2. ($575 +0.82·2·499)·1.08875 = $1517.02

Step-by-step explanation:

iPads are 18% off on the day of purchase, so they should be charged at ...

   100% -18% = 82%

of full price. The sum shown includes two iPads at $499 each, without any discount. The total price is too high by $179.64.

The tax rate is given as 8.875%, so the multiplier on price will be ...

  100% +8.875% = 108.875% = 1.08875

The multiplier used by the student in the problem is 1.0875, so is too low.

_____

A correct computation could be written as ...

  ($575 + 2×499×0.82)×1.08875 ≈ $1517.02

5 0
3 years ago
Lars deposited $50 into a savings account for which interest is compounded quarterly. According to the rule of 72, what interest
Ivanshal [37]

Answer: C 2.5%


Step-by-step explanation:

The "Rule of 72" is a easy way to calculate how much time an investment will take to double with a given fixed annual rate of interest.

Just we have to divide 72 by the annual rate of return(r), we can get a rough estimate of how many years it will take to double the initial investment .

Now, in given problem: Let 'r' be the rate of interest

Time to double the amount=29 years

Thus by rule 72 ,

\frac{72}{r}=29\\\Rightarrow\ r=\frac{72}{29}=2.4827\%\approx2.5\%

Therefore, C is the right option.


3 0
3 years ago
Read 2 more answers
The vertices of xyz are x(-3,-6), Y(21,-6), and z(21,4). What is the perimeter of the triangle
xxTIMURxx [149]
Note that this a right-angled triangle with the right angle at Y. 

<span>Use coordinates of the point to find XY and YZ </span>

<span>XY = 21 - (-3) </span>

<span>= 24 </span>

<span>YZ = 4 - (-6) </span>

<span>= 10 </span>

<span>Use Pythagoras theorem to XZ </span>

<span>XZ = sqrt[24^2 + 10^2] </span>

<span>= 26 </span>

<span>Perimeter = 26 + 24 + 10 </span>

<span>= 60</span>
8 0
2 years ago
Read 2 more answers
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