Answer:
Let Craigs age = x
Therefore Dianes age = 25 + x ( since she's 25 years older)
Dianes + Craigs age = (25 + x) + x = 105 (They said both of their ages sums up to 105)
25 + 2x = 105
2x = 80
x = 40
Craigs age is 40 years old.
Dianes age is 65 years old.
The slopes of the original function y = |x| are m = 1 and m = -1 (m is the variable used to represent slope).
when you add a coefficient (number) in front of |x|, it will either make the slopes steeper or more flat. the larger the value of the coefficient, the steeper the slope will be (vice versa for a coefficient smaller than 1, which would make the slope more flat than the parent(original) function).
because these are absolute value functions, they will have two slopes. one slope for the end going up from left to right, and one for the end going down from left to right. this means that one slope must be positive and the other slope must be negative for each function.
with this in mind, the slopes of y = 2|x| are m = 2 and m = -2. the coefficient of 2 narrows the function by a factor of 2 (it is twice as narrow as the parent function). the same rules apply to y = 4|x| with the slopes of this function as m = -4 and m = 4 (it is 4 times narrower than the parent function).
with the fraction coefficients, the function is being widened. therefore, the slopes of y = 1/2 |x| are m = -1/2 and m = 1/2. the slopes of y = 1/5 |x| are m = -1/5 and m = 1/5.
Answer:
no these are not equivalent
Step-by-step explanation:
these aunt equivalent because 12+12 =24 and 3+3=6 not 7 or 28 so no ccx these are not equivalent
So the equation is 1.5(1.1) +7.6
1. Multiply 1.5* 1.1 = 1.65
2. Add 1.65 +7.6= 9.25
I would have to say the answer is 9.25
Solution
For this case we can do the following:
And then if we multiply we got:
