Answer:
see below
Step-by-step explanation:
The two terms 9 and -10 can be combined to give -1.
The two terms 2x and -18x can be combined to give -16x.
Fully simplified, the expression would be ...
-16x +14y -1
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Anything with different coefficients is not equivalent. Anything with only one pair of terms combined is "not fully simplified."
Answer:
Equation 1 = Equation 2
165 - 4x = 145 - 3.50x
Step-by-step explanation:
Let x represent the number of 30-day periods.
Tavon has a gift card for $165 that loses $4 for each 30-day period it is not used.
Therefore the equation =
$165 -$4 × x
= 165 - 4x.......... Equation 1
He has another gift card for $145 that loses $3.50 for each 30-day period it is not used.
$145 -$3.50 × x
= 145 - 3.50x........... Equation 2
Hence, an equation for the number of 30-day periods until the value of the gift cards will be equal is obtained by equating Equation 1 and Equation 2 together
So, we have
Equation 1 = Equation 2
165 - 4x = 145 - 3.50x
We simplify further:
165 - 145 = -3.50 + 4.0x
20 = 0.5x
x = 20/0.5
x = 40
Therefore, number of each 30-day periods until the value of the gift cards will be equal is 40
Answer:
Degree = 4
Step-by-step explanation:
For the given conditions:
n = 4
i and 5i are zeros
f(-2) = 145
For zeros, it means they are a quadratic factor of the expression
It means, we will have x = ± i and x = ± 5i
therefore, the given factors are (x - i)(x + i)(x - 5i)(x + 5i)
Hence, we have the function
given degree = 4
f(x) = a(x-i)(x+i)(x-5i)(x+5i)
f(x) = a(x² + 1)(x² + 25)
Hence, substituting -2 for x, we have
f(-2) = a(5)(29) = 145
Hence, a = 1
f(x) = x⁴ + 26x² + 25
Therefore, we can see that the given degree = 4
Answer:
A
Step-by-step explanation:
The gym membership is going to cost 40 initially plus 22.50 for each month after.
The total cost for the gym can be expressed as 40+22.50m
The martial arts class is going to cost 26 initially plus 16 for each month after.
The total cost for the martial arts class can be expressed as 26+16m
Now we have to combine these to get the total cost for both the gym and the martial arts class:
(40+22.50m) + (26+16m) = 66 + 38.50m (option A)
