Answer:
- x = -1/2(1 +√21) ≈ -2.79129
- x = -1/2(1 -√21) ≈ 1.79129
Step-by-step explanation:
We assume the middle term is supposed to be 4x.
We can remove a common factor of 4 to simplify this a bit.
x^2 +x -5 = 0
This is of the form
ax^2 +bx +c = 0
where a=1, b=1, c=-5.
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The <em>quadratic formula</em> gives the solutions as ...
Filling in the given coefficients, we have ...
x = (-1 ±√(1^2 -4·1·(-5)))/(2·1)
x = (-1±√21)/2
The solutions are x = -1/2(1 +√21) and -1/2(1 -√21).
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<em>If what you wrote is what you intend</em>, then the equation simplifies to 4x^2 -16 = 0.
Dividing by 4 and factoring the difference of squares gives ...
x^2 -4 = 0
(x -2)(x +2) = 0
These factors are zero (hence their product is 0) for the values x = 2 and x = -2.
The solutions are x=2 and x=-2.
Amount charged for downloading individual songs = x dollars
Amount charged for downloading an entire album = y dollars
In respect to person A:
6x + 2y = 25.92
3x + y = 12.96
y = 12.96 - 3x
In respect to person B:
4x + 3y = 33.93
Putting the value of y from the first equation in the second, we get
4x + 3(12.96 - 3x) = 33.93
4x + 38.88 - 9x = 33.93
- 5x = - 4.95
x = 0.99 dollars
Putting the value of x in the first equation, we get
y = 12.96 - 3x
= 12.96 - 2.97
= 9.99 dollars
Answer:
Option B.
Step-by-step explanation:
The given expression is
We need to find an expression which is equivalent to the given expression.
Combine like terms.
The simplified form of given expression is 8p-9. So, option A is incorrect.
In option B, the given expression
Using distributive property, we get
Combined liker terms.
It is same as the simplified form of given expression.
Therefore, the expression 3(p+(-3))+5p is equivalent to the given expression and correct option is B.
Answer:
Okays so for 100 guests we can make the equation $5000 ÷ 100 = $50.00
For 100 guests at the wedding it would cost <u>$50.00</u> per plate
For 45 guests we can make the equation $2750 ÷ 45 = $61.111111111111, it would be a repeating decimal
For 45 guests at the wedding, it would cost <u>$61.111111111111</u>
I hope that this can help you! ^‿^
Answer:
44
Step-by-step explanation:
24 divided by 6= 4
2x4=8
3x4=12
24+8+12=44
