36 questions-----3 minutes
x questiones-----1 minutes
x=(1*36)/3
x=36/3
x=12 questions
B.
Answer:
The correct answer is 218 math textbooks and 259 sociology textbooks.
Step-by-step explanation:
To solve this problem, we can make a system of equations. Let the number of sociology textbooks sold be represented by the variable "s" and the number of math textbooks sold be represented by the variable "m". Using these variables, we can make two equations:
s + m = 477
m + 41 = s
There are many ways to solve this system of equations. One approach we can take is substituting the value for s given by the second equation into the first equation. This is modeled below.
s + m = 477
(m + 41) + m = 477
Combining like terms on the left side of the equation yields:
2m + 41 = 477
Subtracting 41 from both sides of the equation gives us:
2m = 436
Finally, dividing both sides of the equation by 2 gives us:
m = 218
To solve for the number of sociology textbooks, we can substitute into either of our original equations.
m + 41 = s
(218) + 41 = s
s = 259
Therefore, your answer is m = 218 and s = 259, or 218 math textbooks and 259 sociology textbooks were sold.
Hope this helps!
Term to be added is: + 121/4
t^2 + 11t + 121/4
(t + 11/2) (t + 11/2)
Answer:
The polynomial of the function degree '4'
x⁴ - x³ -46 x² -80x =0
Step-by-step explanation:
<u><em>Explanation:-</em></u>
Given zeros are 0 ,-5,8,-2
x =0 , x=-5 ,x=8 and x=-2
(x-0) , ( x+5) , (x-8) and (x+2)
The polynomial function with degree '4'
(x-0)(x-(-5)(x-8)(x-(-2) =0
x ( x+5) (x-8) (x+2) =0
(x² +5x)(x-8)(x+2) =0
(x³ -8 x²+5x² -40 x)(x+2) =0
( x³ -3 x² - 40 x) (x +2) =0
x⁴ + 2 x³ - 3 x³- 6 x²-40 x²- 80 x =0
x⁴ - x³ -46 x² -80x =0
<u><em>Final answer:-</em></u>
The polynomial of the function degree '4'
x⁴ - x³ -46 x² -80x =0
Answer:
{y≥1
,{y-x>0
Step-by-step explanation:
First of all you have to consider the shaded region. It is bound by two lines.
The first line is a solid line that cuts the y-axis at +1. it's equation is y = 1. since the shade region is on the upper side where y values increase, the unequivocally will be y≥1. notice that the sign ≥ is due to the solid line which indicates points on the solid line are part of the solution.
the second line is the broken line. it passes through the origin (0,0) and (1,1) any two points can be taken. the gradient is 1. m= (y1-y2)/(x1-x2) = (0-1)/(0-1)=(-1/-1)= 1. the equation of a straight line is
y=mx + c where m is gradient and c is the VA)ue of y as the line crosses the y axis ( y-intercept) which in this case is 0 at (0,0).so the equation will be y=1(x) + 0
y=x if we subtract x from both sides we have
y-x=0
since the shaded region is on the upper side as y-x increases the in equality will be
y-x>0 notice since the line is broken it shall be just > not≥ because points on a broken line are not included in the shaded region.
