Answer:
1/4
Step-by-step explanation:
Substitute x=-1 to find y
Given y= 2^2x
y(-1)=2^-2=1/(2^2)
Answer:
We have the equation:
(ax^2 + 3x + 2b) - (5x^2+bx-3c)= 3x^2 - 9
First, move all to the left side.
(ax^2 + 3x + 2b) - (5x^2+bx-3c) - 3x^2 + 9 = 0
Now let's group togheter terms with the same power of x.
(a - 5 - 3)*x^2 + (3 - b)*x + (2b + 3c + 9) = 0.
This must be zero for all the values of x, then the things inside each parenthesis must be zero.
1)
a - 5 - 3 = 0
a = 3 + 5 = 8.
2)
3 - b = 0
b = 3.
3)
2b + 3c + 9 = 0
2*3 + 3c + 9 = 0
3c = -6 - 9 = -15
c = -15/3 = -5
Then we have:
a = 8, b = 3, c = -5
a + b + c = 8 + 3 - 5 = 6
7 because the 3 is the coefficient and the x is the variable. The + is the operator so that leaves you the 7
Answer:
independent quantitative.
Step-by-step explanation:
An indepentent variable in an investigation, is the variable that will be changed in order to know how its variation affects the dependent variable.
In this case, the dependent variable is the test scores since Dr Washington will study there is the numeber of hours of study affects the grade the students obtain.
Therefore, the hours of study are the independent variable.
It is also a quantitative variable since it can be counted.
Let the first number be x. The next number will be x+1 since the two numbers are consecutive.
So, the equation is x + x+1 = 71
2x+1 = 71
2x = 70
x = 35
So, the first number is 35.
To find the next number, add 1 to 35.
So, the answers are 35 and 36.
