Answer: The book costs $10 and the pen costs $4✔️
Step-by-step explanation:
Let B the cost of the book and let P the cost of the pen.
Then we know:
The book and the pen cost $14:
B + P = $14 } Equation 1
We also know:
The cost of the book is two dollars more than twice the cost of the pen.
B = 2P + $2 } Equation 2
Now we can substitute the value of B from the equation 2 in the equation 1:
2P + $2 + P = $14
3P = $14 - $2 = $12
P = $12/3 = $4 , cost of the pen
Since we know the value of B from the equation 2, we can calculate B:
B = 2P + $2 = 2x$4 + $2 = $8 + $2 = $10 , cost of the book
Answer: The book costs $10 and the pen costs $4✔️
<h3>Verify </h3>
We can substitute these values in equations 1 and 2 and check the results:
B + P = $14 } Equation 1
$10 + $4 = $14 ✔️check!
B = 2P + $2 } Equation 2
$10 = 2x$4 + $2 = $8 + $2 = $10 ✔️check!
<h2><em>Spymore</em></h2>
Therefore 
Step-by-step explanation:
Given,
Therefore
It's really hard to read it but my answer is C
1. square both sides, a straight forward method.
<span>2. hand plot </span>
<span>3. calculator plot, not recommended.Let Y=sin x + cos x -1 </span>
<span>Y=0, find x=? </span>
<span>4. Substitute 1=sin^2(x) + cos^2(x) on the right hand side </span>
<span>Y1=sin^2(x) - sin(x) </span>
<span>Y2=cos^2(x) - cos(x) </span>
<span>Y1 + Y2=0, Y1=0, Y2=0, </span>
<span>a(a-1)=0, so, a=0, a=1, where a=sin(x), or cos(x), </span>
<span>so x=0, pi/2 </span>
<span>Have a good day!</span>
