The extraneous solution of startroot 4 x 41 endroot = x 5 will be A. -8.
<h3>What is an extraneous solution?</h3>
It should be noted that an extraneous solution simply means a root of a transformed equation which isn't part of the original equation.
✓4x + 41 = x + 5
Square both sides
4x + 41 = x² + 10x + 25
x² + 6x - 16
x(x + 8) - 2(x + 8) = 0
x + 8 = 0
x= 0 + 8 = 8
Learn more about extraneous solution on:
brainly.com/question/295656
#SPJ4
Theoretical Probability (Pink Band) - 19/37
Their are 95 pink rubber bands (numerator) and when adding 95+90 = 185 (denominator) to get the theoretical probability you would get 95/185 which when simplified by the factor of 5 would be the same thing as 19/37.
Theoretical Probability (Brown Band) - 18/37
Their are 90 brown rubber bands (numerator) and we already know that are denominator will be 185 so we would get 90/185. This fraction is also divisible by a factor of 5 so when simplified you would get 18/37.
Experimental Probability (Pink/Brown Band) - 12/23 and 11/23
Pink Band: Their is a 36 (numerator) out of (36+33) 69 (denominator) chance of pulling a pink band so it would be written as 36/69 which is divisible by 3 and when simplified is written as 12/23.
Brown Band: Their is a 33 (numerator) out of our already known denominator 69 chance of pulling a brown band. When written as a fraction this would be 33/69 which is also divisible by 3 and when simplified 11/23.
We can conclude with this data that their is a slightly higher chance of pulling a pink rubber band compared to the experimental probability of picking a brown rubber band because we know that 12/23 > 11/23.
Answers
1. Solve inside bracket first
7x^2+4x-26+7x^2+3x-15
= (14x^2+7x-41) Answer
2. 5x(6x^2+3x+7)-1(6x^2+3x+7)
= 30x^3+15x^2+35x-6x^2-3x-7
= (30x^3+9x^2+32x-7) Answer
Slope intercept form is y=mx+b where m is the slope and b is the y intercept. we have the slope is -6 and a point so the beat way to solve is to use point slope form and si.plify this into y intercept forn.
point slope is (y-y1)=m(x-x1) where (x1,y1) is a point o. the line. so we get
(y-8)=-6(x-(-2))
y-8=-6(x+2)
y-8=-6x-12
y=-6x-4
now we have slope intercept form!
so assuming the tank is just a big tall rectangular box-like tank.
well, the volume of a rectangular prism is simply the product of its length, height and width. So the volume for this one will be 40 * 36 * 18, or 25920 ft³.
if we fill that up to only 5/6, not the whole tank, how much is 5/6 of 25920? well, is really just their product, namely 21600 ft³.
and then we dump 1/3 of that 21600, how much is that anyway? well 1/3 of 21600 is really just their product, so 7200 ft³.
so we had 21600 ft³ of water, and dumped 7200 ft³, we're left only with 21600 - 7200, or 14400 ft³.
