Answer:
points (8, 0) and (3, 0)
Step-by-step explanation:
Here we're being asked to find the roots of this quadratic equation.
Set f(x) = 3(x² - 11x + 24 = 0.
This factors into f(x) = 3(x - 8)(x - 3) = 0.
Then x - 8 = 0 and x - 3 = 0, yielding x = 8 and x = 3. These correspond to the points (8, 0) and (3, 0).
If you took
of a pie then only ate
of that slice, you ate
of
.
Simplify.
So, you ate 1/6 of the pie.
Answer:
( x + 2 ) and ( x - 11 )
Step-by-step explanation:
x² - 9x - 22 = 0
x² + 2x - 11x - 22 = 0
x ( x + 2 ) - 11 ( x + 2 ) = 0
( x + 2 ) ( x - 11 ) = 0
Factors of x² - 9x - 22 are ( x + 2 ) and ( x - 11 ).
<h3>
Answer:</h3>
30 ft; 0.4 min
<h3>
Step-by-step explanation:</h3>
The mnemonic SOH CAH TOA reminds you ...
... Sin = Opposite/Hypotenuse
Here, the angle of elevation is opposite the triangle side representing the distance between floors. The hypotenuse is the length of the conveyor belt. Rearranging the formula (by muliplying by Hypotenuse/Sin), we get ...
... Hypotenuse = Opposite/Sin
Filling in the values from this problem, we have ...
... length of conveyor = (26 ft)/sin(60°) ≈ 30 ft
The time it takes to travel that distance is given by ...
... time = distance/speed
... time = (30 ft)/(75 ft/min) = 2/5 min = 0.4 min
Answer:
£9,148.37 pounds
Step-by-step explanation:
you need to get the 1.4% of 8300 and add it to the next year
which will give £8,416.20
you repeat that again but with 8,416.20 to the 3rd year and so on and so forth
