Answer:
One
Step-by-step explanation:
(x + 12) = 4x - 1
x + 12 = 4x - 1
12 = 3x - 1
13 = 3x
x = 13/3 = 4.3333333...
Since x only has one value, only one solution exists for the equation.
3) x² - 121 = 0
x² = 121
x' = +√121
x' = 11
_______________
x'' = - √121
x'' = -11
Solution ⇒ S{-11 ; 11 } or (x-11)(x+11)
4) 4x² + 144 = 0
4x² = -144
x² = -144 / 4
x² = -36
x = √-36
No solution ⇒ S = ∅
5) z²+10z+21 = 0
Δ = 10² - 4(1)(21)
Δ = 100 - 84
Δ = 16
x' = (-10+4) / 2 = -6/2 = -3
x'' = (-10-4) / 2 = -14/2 = -7
Solution ⇒ S{ -7 ; -3} or (x+3)(x+7)
The price of the turkey based on the percentage given is $15.81.
<h3>How to illustrate the information?</h3>
It was stated that the cost is $15.50 but that there was a 2% increment in price.
Therefore, the new price will be:
= $15.50 + (2% × $15.50)
= $15.50 + $0.31
= $15.81
Learn more about percentages on:
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PEMDAS applies, so it should be multiply, then divide.
Let’s say it takes time t hours for the interception.
In that time the carrier travels 28t nm west and the helicopter 130t nm.
Now we use the sine rule to find the angle x which lies between the distance 175 and 130t.
sin(x)/28t=sin35/130t. So sin(x)=28sin35/130=14sin35/65=0.1235 and x=7.0964 degrees.
Therefore the helicopter should use a bearing of 35+7.0964=42.0964 degrees north of east or 47.9 degrees east of north approx.
