Answer:
2016 =7605- 25%*7065
=7605-1901.25
=5703.75
in 2016 ,5703.75 book is borrowed
in 2015 =7605+(25*7065)
=7605+1901.25
=9,506.25
therefore in 2015 9506 book were borrowed .
<span>0 = x² + 10x + 16
Subtract </span><span>x^2+10x+16 from each side
</span><span>0−<span>(<span><span>x^2+10x</span>+16</span>) </span></span>= x^2+10x+16−(<span>x^2+10x+16</span>)
<span><span>−x^2−10x</span>−16</span>=<span>0
</span>
Factor left side
<span><span>(<span>−x−2</span>)</span><span>(x+8)</span></span>=<span>0
</span>
Set all factors to equal 0
<span><span><span>−x</span>−2</span>=<span><span><span>0<span> or </span></span>x</span>+8</span></span>=<span>0
</span>
The solutions are x = -2 and x = -8
For this case we propose a system of equations.
We know that a dime equals 10 cents and a nickel equals 5 cents.
So:
x: Let the variable that represents the number of dimes
y: Let the variable that represents the number of nickels
According to the statement we have:
We multiply the first equation by -0.10:
We have the following equivalent system:
We add the equations:
So, Jeff has 3 nickels
Jeff has 12 dimes.
Answer:
12 dimes and 3 nickels
Answer:
shorter leg = 21 ft
longer leg = 28 ft
hypotenuse = 35 ft
Step-by-step explanation:
Let's call the longer leg of the triangle "b", the shorter leg "a", and the hypotenuse "h"
Then we have the following two equations:
a = b - 7
h = b + 7
And we can use the Pythagorean theorem to relate all three sides of the triangle:
Therefore there are two possible solutions to this equation: b = 0 or b = 28 ft.
So we take the one that is different from zero (since we are looking for the side of a triangle) That is: b = 28 ft
Then hypotenuse = 28 + 7 = 35 ft
and the shorter leg = 28 - 7 = 21 ft
Answer:
domain is 1,2,3,4,5
rang is 1,2,5,10,15
Step-by-step explanation:
Domain is x
Range is y
Find slope and substitute for function