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tankabanditka [31]
3 years ago
10

Maria makes beaded bracelets for sale . The materials for each bracelet cost $3.00 and she sells the bracelets for $8.25 each. T

o find her profits , she writes the equation p= 8.25x-3.00x . Explain what the variable x represents
Mathematics
1 answer:
Murrr4er [49]3 years ago
5 0
X represents the amount of materials she buys.
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If 12x + 3 - 4x - 3 = 8, then x = ?
iVinArrow [24]
12x - 4x = 8 + 3 - 3
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3 years ago
Determine the number of real solutions for each of the given equations. Equation Number of Solutions y = -3x2 + x + 12 y = 2x2 -
rosijanka [135]

Answer:

Step-by-step explanation:

Our equations are

y = -3x^2 + x + 12\\y = 2x^2 - 6x + 5\\y = x^2 + 7x - 11\\y = -x^2 - 8x - 16\\

Let us understand the term Discriminant of a quadratic equation and its properties

Discriminant is denoted by  D and its formula is

D=b^2-4ac\\

Where

a= the coefficient of the x^{2}

b= the coefficient of x

c = constant term

Properties of D: If D

i) D=0 , One real root

ii) D>0 , Two real roots

iii) D<0 , no real root

Hence in the given quadratic equations , we will find the values of D Discriminant  and evaluate our answer accordingly .

Let us start with

y = -3x^2 + x + 12\\a=-3 , b =1 , c =12\\D=1^2-4*(-3)*(12)\\D=1+144\\D=145\\D>0 \\

Hence we have two real roots for this equation.

y = 2x^2 - 6x + 5\\

y = 2x^2 - 6x + 5\\a=2,b=-6,c=5\\D=(-6)^2-4*2*5\\D=36-40\\D=-4\\D

Hence we do not have any real root for this quadratic

y = x^2 + 7x - 11\\a=1,b=7,-11\\D=7^2-4*1*(-11)\\D=49+44\\D=93\\

Hence D>0 and thus we have two real roots for this equation.

y = -x^2 - 8x - 16\\a=-1,b=-8,c=-16\\D=(-8)^2-4*(-1)*(-16)\\D=64-64\\D=0\\

Hence we have one real root to this quadratic equation.

7 0
3 years ago
A dozen plain hats cost 3.60,what is the unit rate of a hat?
deff fn [24]
I think the answer should be 12.
7 0
3 years ago
Read 2 more answers
Find the sum of the polynomials. <br> 3 x 4 + 4x² + 6x + 7 <br>+ 3x^3 - 8x - 7​
34kurt
12+4x^2+3x^3-2x is the answer.
5 0
2 years ago
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