Answer:
REALS. all real numbers are solution for the equation
Step-by-step explanation:
for the equation
x² = (x + 3)*(x − 3) + 9
distributing the terms in the parenthesis
x² = (x + 3)*(x − 3) + 9 = [x² - 3*x + 3*x - 3*3 ] + 9
x² = x² - 9 + 9
0 = 0
since this statement will be true regardless of the value of x , then the equation has solution for all real numbers .
Answer:
f(0) = 2
Step-by-step explanation:
Read from the graph the value "y" that the line presents when "x" is zero. That is the f(0) you are looking for.
See attached screen capture with the point highlighted
f(0) according to the image provided is equal to 2.
f(0) = 2
Answer:
There are 68 students in the class after these changes.
Step-by-step explanation:
g = number of girls
b = number of boys
Because the ratio of girls to boys is 3:1, initally the equation was
g = 3b
Finally, we have
g-1 girls because one girl dropped the class
b+3 boys because three more boys signed up
Because the new ratio of girls to boys is 5:2, the new equation is
(g - 1)/(b + 3) = 5/2
Cross multiply.
2(g - 1) = 5(b + 3)
2g - 2 = 5b + 15
2g - 5b = 17
Then, substitute g (which is 3b because the first equation was g = 3b)
2(3b) - 5b = 17
b = 17
g = 3b = 3*17 = 51
g = 51
The final number of students in the class = 17 + 51 = 68
Answer: 68
Answer:
a) c
b) 62
Step-by-step explanation:
