ANSWER: No Solution
You didn’t mention how you needed it solved but solving this by substitution or solving this for a both give you the same answer. No solution.
Answer:
x = 4 x = -14
Step-by-step explanation:
|x + 5| = 9
The absolute value equation has a positive and negative solution
x+5 = 9 x+5 = -9
Subtract 5 from each side
x+5-5 = 9-5 x+5-5 = -9-5
x = 4 x = -14
Answer:
One pecan costs $8. One apple costs $9.
Step-by-step explanation:
p and a are number of number of pecan and apple sold, respectively.
:::::
"1 pecan cheesecake and 4 apple cheesecakes for $44"
p + 4a = 44
"14 pecan cheesecakes and 14 apple cheesecakes for $238"
14p + 14a = 238
You have a system of two equations in two unknowns:
p + 4a = 44
14p + 14a = 238
:::::
Eliminate the p terms: Multiply the first equation by -14, then add the product to the second equation.
-14p - 56a = -616
14p + 14a = 238
------------------------
-42a = -378
a = (-378)/(-42) = 9
p = 44-4a = 8
One pecan costs $8. One apple costs $9.
We know that
Limacons are in the form
r=a(+-)b*sin (theta) or r=a(+-)b*cos (theta)
in this problem
r=a(+-)b*sin (theta)
so
is symmetric to y axis
a=1/2
b=1/2
a/b=1---------> Cardioid (hearth shaped)
see the attached figure
the answer is the option
<span>
A. Cardioid </span>
Answer:
a = 2, b = - 6, c = 11
Step-by-step explanation:
The standard form of a quadratic equation is
ax² + bx + c = 0 : a ≠ 0
Compare the coefficients of the terms in standard form to
2x² - 6x + 11 = 0 ← in standard form
Thus a = 2, b = - 6 and c = 11