Answer:
<h2>
</h2>
Step-by-step explanation:
To find ( f - g)(x) , subtract g(x) from f(x)
That's
Since they have a common denominator that's 3x we can subtract them directly
That's
We have the final answer as
<h3>
</h3>
Hope this helps you
You need to work out the area so
Area of a rectangle is l x b
So
A= l x b
A= 8 x 4
A= 32
Therefor 32 cubic feet of dirt is needed
Volume of a rectangle prism is found by <em>multiplying length, width, and height</em>.
So:
3. 9 1/3 * 4 * 6 1/2 = 28/3 * 4 * 13/2 = 1456/6 = 242 2/3 in³
4. 2 1/2 * 5 3/4 * 8 = 5/2 * 23/4 * 8 = 920/8 = 115 yd³
Amount must the owner make to have the cost of the ski lift in 5 years is $6,711,045.22.
<h3>
What is compound interest?</h3>
Compound interest is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on principal plus interest.
A = P(1 + r/n)
P =5,500,000
r =4%= 0.004
n =4
t= 5 years.
Now,
A = P(1 + r/n)
A = 5,500,000.00(1 + 0.04/4)
A = 5,500,000.00(1 + 0.01)
A = $6,711,045.22
Hence, The total amount accrued is $6,711,045.22.
Learn more about compound interest here:
brainly.com/question/14295570
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Answer:
k = 13 The smallest zero or root is x = -10
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Work Shown:
note: you can write "x^2" to mean "x squared"
f(x) = x^2+3x-10
f(x+5) = (x+5)^2+3(x+5)-10 ... replace every x with x+5
f(x+5) = (x^2+10x+25)+3(x+5)-10
f(x+5) = x^2+10x+25+3x+15-10
f(x+5) = x^2+13x+30
Compare this with x^2+kx+30 and we see that k = 13
Factor and solve the equation below
x^2+13x+30 = 0
(x+10)(x+3) = 0
x+10 = 0 or x+3 = 0
x = -10 or x = -3
The smallest zero is x = -10 as its the left-most value on a number line.
Hope this was Right