The y-intercept of the linear function y = 3x - 2 is -2
<h3>How to determine the y-intercept?</h3>
The function is given as
y = 3x - 2
The above function is a linear function, and the y-intercept is the point on the graph, where x = 0 i.e. the point (0, y)
As a general rule, linear functions are those functions that have constant rates or slopes
Next, we set x to 0, and calculate y to determine the value of the y-intercept
y = 3(0) - 2
Remove the bracket in the above equation
y = 3 * 0 - 2
Evaluate the product of 3 and 0 i.e. multiply 3 and 0
y = 0 - 2
Evaluate the difference of 0 and -2 i.e. subtract 0 from 2
y = -2
The above means that the value of y when x is 0 is -2
Hence, the y-intercept of the linear function y = 3x - 2 is -2
Read more about y-intercept at:
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Let, S = Shirt, J = Jeans
14a)
This question asks for the discount to be added after everything else.
S= 12 J=19
3S + 2J -3 = Cost with discount applied to total
^ This expression adds to costs, then takes away the $3 discount as the end.
14b)
This questions says the discount is added on every shirt, we get a similar expression:
3(S-3) + 2(J-3) = Cost with discount applied on every shirt and jeans
14c)
The difference between a) and b) is that:
> the discount in a) is applied on the total, meaning a lower discount
> the discount for b) is applied on each shirt and jeans, meaning a greater discount
14d)
If I were the shop owner I would be more specific of what the discount included, for example we don't know whether to discount each product (shirts and jeans) or only discount the total.
Answer:
AB = square root of 403
Step-by-step explanation:
use the pythagorean theorem to solve for AB.
a^2 + b^2 = c^2
9^2 + b^2 = 22^2
81 + b^2 = 484
b^2 = 484 - 81
b^2 = 403
b = 20.07
Answer:
No
Step-by-step explanation:
How to solve :
(a-4)/(a^2+8a+12)*(a^2-2a-48)/(a^2+4a-32)
Factor:
a^2+8a+12 = (a+6)(a+2)
a^2-2a-48 = (a-8)(a+6)
a^2+4a-32 = (a+8)(a-4)
simplify a+6, and a-4
you are left with (a-8)/(a+2)(a+8) = (a-8)/(a^2+10x+16)
