Answer:
graph the line using the slope and y-intercept or two points
slope:-2/5
y-intercept:(0,-2)
x | y
-5 | 0
0 | -2
Answer:
f(-1) = 8
Step-by-step explanation:
f(-1) = x
f(-1) = -5(-1) + 3
f(-1) = 8
Answer:
QR = 12 (cm), RP = 10 (cm)
Step-by-step explanation:
Corresponding sides of the triangles:
XY : PQ, YZ : QR, ZX : RP.
For similar triangles ratios of corresponding sides are the same
XY : PQ = 4 : 8 = 1 : 2
YZ : QR = 1 : 2
ZX : RP = 1 : 2
YZ : QR = 1 : 2
6 : QR = 1 :2, QR = 12 (cm)
ZX : RP = 1 : 2
5 : RP = 1 : 2, RP = 10 (cm)
The <em>cost of the jacket</em> purchased using the <em>System of equation</em> is $46.16
<u>Given the cost prices</u> :
- Total cost = $95.11
- Cost of shoes = x
- Cost of jacket = x - 2.79
<u>We could set up an equation relating the cost of each item to the total Cost : </u>
<em>Total cost = cost of jacket + cost of shoes</em>
95.11 = x - 2.79 + x
95.11 = 2x - 2.79
95.11 + 2.79 = 2x
97.90 = 2x
x = 97.90 / 2
x = 48.95
Cost of jacket = $48.95 - 2.79 = $46.16
Therefore, Cost of jacket is $46.16
Learn more : brainly.com/question/24938959
Answer:
Step-by-step explanation:
I'm sure you want your functions to appear as perfectly formed as possible so that others can help you. f(x) = 4(2)x should be written with the " ^ " sign to denote exponentation: f(x) = 4(2)^x
f(b) - f(a)
The formula for "average rate of change" is a.r.c. = --------------
b - a
change in function value
This is equivalent to ---------------------------------------
change in x value
For Section A: x changes from 1 to 2 and the function changes from 4(2)^1 to 4(2)^2: 8 to 16. Thus, "change in function value" is 8 for a 1-unit change in x from 1 to 2. Thus, in this Section, the a.r.c. is:
8
------ = 8 units (Section A)
1
Section B: x changes from 3 to 4, a net change of 1 unit: f(x) changes from
4(2)^3 to 4(2)^4, or 32 to 256, a net change of 224 units. Thus, the a.r.c. is
224 units
----------------- = 224 units (Section B)
1 unit
The a.r.c for Section B is 28 times greater than the a.r.c. for Section A.
This change in outcome is so great because the function f(x) is an exponential function; as x increases in unit steps, the function increases much faster (we say "exponentially").
