Answer:
x+46
Explanation:
4(−8x+5)−(−33x−26)
Distribute the Negative Sign:
=4(−8x+5)+−1(−33x−26)
=4(−8x+5)+−1(−33x)+(−1)(−26)
=4(−8x+5)+33x+26
Distribute:
=(4)(−8x)+(4)(5)+33x+26
=−32x+20+33x+26
Combine Like Terms:
=−32x+20+33x+26
=(−32x+33x)+(20+26)
=x+46
First you graph it using a graphing calculator, you look at the table of values to find out one point in which y= 0. The first one that comes up is when x=1.
If you don't have a graphing calculator you can use trial and error by inputing some numbers into x until you get y= 0.
Once you have an x value which makes y=0, you can start factorizing it.
you divide 6x3 +4x2 -6x - 4 into (x-1) which is when y =0
to get 6x2+10x+4
This can be used to write the polynomial as (x-1)(6x2 +10x+4)
you then factorize the second bracket, 6x2 +10x+4.
you can take the 2 outside to give you 2(3x2 +5x+2)
you can factorize this to become 2(3x+2)(x+1)
Now you just substitute your factorized second bracket into your unfactorized second bracket to give you 2(3x+2)(x+1)(x-1).
From this you can deduce that k= 1
For this case what you need to know is that the original volume of the cookie box is:
V = (w) * (l) * (h)
Where,
w: width
l: long
h: height.
We have then:
V = (w) * (l) * (h) = 48 in ^ 3
The volume of a similar box is:
V = (w * (2/3)) * (l * (2/3)) * (h * (2/3))
We rewrite:
V = ((w) * (l) * (h)) * ((2/3) * (2/3) * (2/3))
V = (w) * (l) * (h) * ((2/3) ^ 3)
V = 48 * ((2/3) ^ 3)
V = 14.22222222 in ^ 3
Answer:
the volume of a similar box that is smaller by a scale factor of 2/3 is:
V = 14.22222222 in ^ 3
____ was planning a birthday party. He/she is planning on inviting 14 people to the party. Each person will be given a goodie-bag at the end of the party. ____ decided that he/she will put 19 gummy worms into each bag. how many gummy worms will ____ need?
The answer to this problem is 266 because 14x19= 266.
the person needs 266 gummy worms if they want to put 19 into each person's goodie-bag
Answer:
SA = <em>41.</em>
Step-by-step explanation:
Add up everything and you get <em>41 </em>as the SA.
