Answer:
1)6x^2+7x-24
2) x-4
3) f(-3)=-14 g(-3)=2 f(-3)/g(-3)=-7 and p(-3)=-3-4=-7
f(-11)=90 g(-11)=-6 f(-11)/g(-11)=-15 and p(-11)=-11-4=-15
4)f'(x)=(x-7)/3
Step-by-step explanation:
1) f(x)=2x-3 g(x)=3x+8
f(x)*g(x)=m(x)=(2x-3)(3x+8)=6x^2+16x-9x-24=6x^2+7x-24
2) f(x)=x^2+x-20 g(x)=x+5
f(x)/g(x)=p(x)=(x^2+x-20)/(x+5)=> by finding the roots of f(x) we obtain =
(x-4)(x+5)/(x+5)--->f(x)/g(x)=p(x)=(x-4)
3) f(-3)=-14 g(-3)=2 f(-3)/g(-3)=-7 and p(-3)=-3-4=-7
f(-11)=90 g(-11)=-6 f(-11)/g(-11)=-15 and p(-11)=-11-4=-15
4) If a function f(x) is mapping x to y, then the inverse function of f(x) maps y back x
y=3x+7
(y-7)/3=x=--> f'(x)=(x-7)/3
The shoelace drawer is 7.911 inches wider than the paperclip drawer.
<h3>Measurement difference between two drawers</h3>
The height of shoelace drawer is = 12.49 inches
The height of paperclip drawer is = 4.579 inches
Therefore the measurement difference between the two drawer is = 12.49 inches - 4.579 inches
= 7.911 inches
Therefore, the shoelace drawer is 7.911 inches wider than the paperclip drawer.
Learn more about measurements here:
brainly.com/question/25770607
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Answer:
a) $37.387
b) $1,588.95
Step-by-step explanation:
Hi, to answer this question, first, we have to multiply the last paycheck
(106.82) by the percentage saved in decimal form (divided by 100)
a) 106.82 x (35/100) = $37.387 (weekly saving)
Now, we have to multiply that result by the number of weeks.
b) 37.387 x 42.5 =$1,588.95
Feel free to ask for more if needed or if you did not understand something.
