I=prt,,262.5=3000*3.5 r,,r=262.5/3000*3.5= use the calculator
Add 1 to both sides of the equation to get 4x = 4.
Divide both sides by 4 and <em>x = 1</em>.
Answer:
√
28
Rewrite
28
as
2
2
⋅
7
.
Tap for more steps...
√
2
2
⋅
7
Pull terms out from under the radical.
2
√
7
The result can be shown in both exact and decimal forms.
Exact Form:
2
√
7
Decimal Form:
5.29150262
…
Step-by-step explanation:
<h3>
Answer: -13</h3>
=======================================
Explanation:
g(-3) = 2 means x = -3 and y = 2 pair up together to form the point (-3,2)
g(1) = -4 means we have the point (1,-4)
Find the slope of the line through the two points (-3,2) and (1,-4)
m = (y2-y1)/(x2-x1)
m = (-4-2)/(1-(-3))
m = (-4-2)/(1+3)
m = -6/4
m = -3/2
m = -1.5
The general slope intercept form y = mx+b turns into y = -1.5x+b after replacing m with -1.5
Plug in (x,y) = (-3,2) which is one of the points mentioned earlier and we end up with this new equation: 2 = -1.5*(-3) + b
Let's solve for b
2 = -1.5*(-3)+b
2 = 4.5 + b
2-4.5 = 4.5+b-4.5 .... subtract 4.5 from both sides
-2.5 = b
b = -2.5
Therefore, y = mx+b becomes y = -1.5x-2.5 meaning the g(x) function is g(x) = -1.5x-2.5
The last step is to plug in x = 7 and compute
g(x) = -1.5*x - 2.5
g(7) = -1.5*7 - 2.5
g(7) = -10.5 - 2.5
g(7) = -13
