The graph g(x) is the graph of f(x) translated (5,2,3) units (down,up,left,right) , and g(x) =(f(x-3),f(x)-5,f(x)+3,f(x-2),f(x)+
marusya05 [52]
Answer:
The graph g(x) is the graph of f(x) translated <u>2</u> units <u>right</u>, and g(x) = <u>f(x-2)</u>
Step-by-step explanation:
g(x) passes through points (0, -5) and (1, -2), then the slope of g(x) is the same as the slope of f(x), which is 3.
f(x) passes through (0, 1) and g(x) passes through (2, 1). Therefore, the graph g(x) is the graph of f(x) translated 2 units right.
f(x - c) translates f(x) c units to the right, therefore g(x) = f(x-2)
In order to check this result, we make:
f(x) = 3x + 1
f(x-2) = 3(x-2) + 1
f(x-2) = 3x - 6 + 1
f(x-2) = 3x - 5 = g(x)
<span>13x−4=−9(4+3x)+12 Given
13x−4=−36−27x+12 distributive property [-9 (4 + 3x) + 12 = -36 -27x]
13x−4=−24−27x Subtraction property [ -36 + 12 ] = -24
13x + 27x = -24 + 4 collecting like terms
40x=−20 </span> Addition Property of Equality
<span>as 13x + 27 x = 40x and -24 + 4 = -20
x=−1/2 Division Property of Equality
40x / 40 = x and 20 /40 = 1/2 </span>
The sales Tax Jinney paid will be calculated as follows:
amount of money spent by Jinney 4960.80
amount of sales tax=6%
amount of sales tax paid will be:
(total amount spent)×(percentage tax)/100
=4960.80×6/100
=297.648
She paid 297.648 sales tax
Answer:
Step-by-step explanation:
Start by using the slope formula, which is :
y2 - y1 / x2 - x1
Now, get your two points and figure out which number will be your x1, x2, y1, and y1 values. (1,-3) will be your x1 and y1 values, because that point comes first in the question. (3,-5) will be your x2 and y2 values.
Put these values in the right order into your formula, like so,and then solve.
-5 - (-3) / 3 - 1
-5+3 / 2
-2 / 2
= -1
This is a slope of -1.