Answer:
(-5,-4)
Step-by-step explanation:
Answer:
A reasonable estimate for the solution is the point (1.1,-1.9)
Step-by-step explanation:
we have
-----> equation A
----> equation B
Solve the system by graphing
Remember that the solution of the system of equations is the interection point both graphs
using a graphing tool
The solution is the point (1.091,-1.818)
see the attached figure
therefore
A reasonable estimate for the solution is the point (1.1,-1.9)
To find the root, replace y with 0
X^2-12x+35=0
A=1 B=-12 C=35
B^2-4ac=(-12)^2 -4(1)(35)
=144 -140
=4
x=(-b+/- square root of b^2 -4ac) /over/ (2a)
Plug in the numbers
x=-(-12) sqr (-12)^2 4(1)(35) / (2)(1)
X=12 +/-sqr 4 / 2
Positive outcome
x=12 + sqr 4 / 2
x=12+2/2
x=7 <— this one
Negative outcome
x=12-2i/2
x=6-i
Vertex: (6,-1)
<u>|4x + 2| + 6 = 0</u>
Subtract 6 from each side: |4x + 2| = -6
But the absolute value of a number is always positive.
No value of 'x' can ever make |4x + 2| negative.
So the equation has <em>no solution</em>.
Let us assume that the number of days she practiced the piano to be "d"
Since she practiced 2/3 hours a day, the total number of hours would be: 2/3*d
Now we are given the total number of hours during summer that she practiced be be equal to 32/23
So we equate 2/3 * d to 32/23 to find d
2/3*d = 32/23
d = (32/23)/ (2/3)
d = (32/23) * (3/2)
d = 48/23 hours
The equation that can be used to find the number of days that she practiced piano during the summer is 2/3*d = 32/23
