Answer:
Karen has 6 quarters and 2 dimes
Step-by-step explanation:
Let
x ----> the number of quarter coins Karen has
y ----> the number of dimes coins Karen has
Remember that

we know that
<em>Equation that represent the amount of coins Karen has</em>

isolate the variable y
----> equation A
<em>Equation that represent the value of coins Karen has</em>
----> equation B
Solve the system of equations by substitution
substitute equation A in equation B

solve for x




<em>Find the value of y</em>
----> 
therefore
Karen has 6 quarters and 2 dimes
I’m pretty sure it’s 50 peaches
Answer:
The complex number
has Cartesian form
.
Step-by-step explanation:
First, we need to recall the definition of
when
is a complex number:
.
Then,
. (I)
Now, recall the definition of the complex exponential:
.
So,

(we use that
.
Thus,

Now we group conveniently in the above expression:
.
Now, substituting this equality in (I) we get
.
Thus,

.
Answer:
x = 130
Step-by-step explanation:
The sum of the exterior angles of a polygon is always 360
140 + x + 56+ 34 = 360
Combine like terms
230 +x = 360
Subtract 230 from each side
230+x-230 = 360-230
x =130
f(x)=x²-1
g(x)=2x-3
f(x)*g(x)=(x²-1)*(2x-3)-----------> <span>this function exists for all real numbers</span>
the answer is the interval (-∞,∞)
using a graph tool see the attached figure