Answer:
The inverse is (x^2-5)/2
Step-by-step explanation:
y =sqrt(2x+5)
Exchange x and y
x = sqrt(2y+5)
Solve for y
Square each side
x^2 = (sqrt(2y+5))^2
x^2 = 2y+5
Subtract 5 from each side
x^2 -5 = 2y-5+5
x^2 -5 = 2y
Divide each side by 2
(x^2-5)/2 = 2y/2
(x^2-5)/2 = y
The inverse is (x^2-5)/2
Sine (28) = opposite / hypotenuse =
0.46947 = opposite / 28
opposite = 0.46947 * 28
<span><span><span>opposite side = 13.14516
</span>
</span>
</span>
cosine (28) = adjacent / hypotenuse =
0.88295 = adjacent / 28
adjacent = 28 * .88295
<span><span><span>adjacent side = 24.7226
</span>
Double Check
</span>
</span>
<span>13.14516^2 + 24.7226^2 = 28^2
</span>
<span>
<span>
<span>
172.7952314256
</span>
</span>
</span>
+
<span>
<span>
<span>
611.20695076
</span>
</span>
</span>
= 784
<span>
<span>
<span>
784.0021821856
</span>
</span>
</span>
= 784
Correct to 5 significant figures
32*5= 160/8 = 20
32-20 = 12
12*2.96 = 35.52
it will cost $35.52 to fill the gas tank
Answer:
Quotient : 3x³ + x² + x + 3
Step-by-step explanation:
Give the polynomial :
Dividend : 3x⁴+16x³+6x²-2x-13;
Divisor : x+5
Kindly check attached picture for detailed explanation.
Answer:
Y = 6*y
Step-by-step explanation:
We have Y = b * y by a factor of 6.
That is, b = 6.
now, to find what results only in a horizontal compression of y = b * y by a factor of 6.
By transformation rule, the function would be a horizontal compression f (a * x) if a> 1.
Therefore, knowing the above, the answer would be:
Y = 6 * y