Answer:
1.what number should be added to both sides of the equation? 1
2. how many of the solutions to the equation are positive? one, x=3.031
3.what is the approximate value of the greatest solution to the equation rounded to the nearest hundredth? 3.03
Step-by-step explanation:
The question is on solving for quadratic equations using the completing square method
The equation given is ;
4x²+8x+27=88...........rewrite the equation
4x²+8x+27-88=0
4x²+8x+-61=0...................divide every term of the equation by 4
4x/4²+8x/4+-61/4=0/4
x²+2x-15.25=0..................rewrite the equation as;
x²+2x=15.25.......................complete square on both sides
x²+2x+ (2/2)²= 15.25 +(2/2)²
x²+2x+1 = 15.25+1
x²+2x+1=16.25................factorize the left hand side
(x+1)²=16.25.....................eliminate the root on the left hand side
x+1=±√16.25
x+1= ± 4.031
solutions
x+1= +4.031
x= +4.031-1 =3.031
or
x+1= -4.031
x= -4.031-1 = - 5.031
if y is multiplied by 1/3, then the value of y changes by a factor of k = 1/3.
<h3>
How to find the value of k?</h3>
We know that there is a proportional relationship between x and y.
Such that if y is multiplied by 1/3, then the value of y changes by a factor of k.
This is trivial, the factor will be the same number multiplying y, we need to write:
y*(1/3) = k*y
If we divide both sides by y:
k = 1/3
If you want to learn more about factors.
brainly.com/question/723406
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This is a simple rule of third problem
3/4 covers 2/5
so 3/4 / 2/5 will equal your answer: 15/8 of a ton
Send a picture of it ok then i answer