Answer:
f(x) = 15
Step-by-step explanation:
"If f(x)= 5x + 40, what is f(x) when x = -5?"
Substitute x for -5:
f(x) = 5x + 40
f(x) = 5(-5) + 40
f(x) = -25 + 40
f(x) = 15
12x + 5 - 4x + 2x² =
= 2x² + 12x - 4x + 5 = <u>2x²</u><u> </u><u>+</u><u> </u><u>8x</u><u> </u><u>+</u><u> </u><u>5</u>
Answer:3031 boxes will be filled with staples
Step-by-step explanation:
Given that the machine makes 500000 in a day
So total staples = 500000
Staples in a box = 165
In order to find how many boxes the machine will make, the total number of staples has to be divided by the number of staples in a box.
So,
As no staples can be left out of box, we will round off the number to next number.
So,
3031 boxes will be filled with staples
If interest<span> is </span>compounded annually<span>, it </span>pays<span> .1 $1000 = $100 the first </span>year<span>, ... Example: </span>Find<span> </span><span /><span /><span /><span>the</span>compound<span> amount </span>if<span> $2900 is </span>deposited<span> at 5% </span>interest<span> for 10 years </span>if<span> ... the </span>account<span> has been open and regular passbook </span>interest<span> is paid on the </span>account. ... Amount of an annuity - S (future value<span>) of n payments of R dollars for n ...</span>
We have functions of the form:
f(x)=a[x+b]+c
[]: Absolute value
We can order in function of the absolute value of "a". The function narrowest is that with the biggest absolute value of "a".
1) a1=3/2=1.5→[a1]=[1.5]→[a1]=1.5
2) a2=-5→[a2]=[-5]→[a2]=5
3) a3=-2→[a3]=[-2]→[a3]=2
4) a4=-1/4=-0.25→[a4]=[-0.25]→[a4]=0.25
5) a5=-2/5=-0.4→[a5]=[-0.4]→[a5]=0.4
6) a6=1→[a6]=[1]→[a6]=1
7) a7=3/4=0.75→[a7]=[0.75]→[a7]=0.75
Ordering the values from the biggest to the smallest:
5 2 1.5 1 0.75 0.4 0.25
a2 a3 a1 a6 a7 a5 a4
<span>Arrange the absolute value functions from narrowest to widest with respect to the width of their graphs. Answer:
</span>1) f(x)=-5[x+4]+4
2) f(x)=-2[x-1]+1/2
3) f(x)=3/2[x-5]+5
4) f(x)=[x+4]+7
5) f(x)=3/4[x-1]+1
6) f(x)=-2/5[x+2]+5/2
7) f(x)=-1/4[x-8]+3
