Answer:
<h2>C.</h2>
Step-by-step explanation:
The slope-intercept form of an equation of a line:
m - slope
b - y-intercept → (0, b)
The formula of a slope:
From the graph we have the points (0, -2) and (6, 7).
(0, -2) → b = -2
Calculate the slope:
Put the value of b and m to the equation of the line in the slope-intercept form:
=====================================
<, > - dotted line
≤, ≥ - solid line
<, ≤ - shaded region below the line
>, ≥ - shaded region above the line
======================================
We have the soli line (≤ or ≥).
Shaded region is above the line (> or ≥)
Therefore we have the answer:
Convert to the standard form:
<em>multiply both sides by 2</em>
<em>subtract 3x from both sides</em>
<em>change the signs</em>
12 by 15 inches
Dilated means to enlarge, so:
8 x 1.5 = 12
10 x 1.5 = 15
Y=-2sin((2
<span>/7)x)
y = asin(bx+c)+d and t</span>he period is given by the equation T = 2
/b
where T is the period of the function. "a" changes the amplitude only (vertical stretch). ""c" is the left/right phase shift. "d" moves the whole graph up or down.
The coefficient of x in (2
/7)x is 2 pi/7 which would also be equal to b.
T = 2
/(2
/7) = 7
Call the age a.
4a-3=3a+7
Add 3 to both sides and subtract 3a from both sides to get:
a=10
Therefore, 10 is the age.