12) -5k - 19 = 5 - 13k
-5k = 24 - 13k
8k = 24
k = 3
14) -15n + 16 = 86 - 29n
-15n = 70 - 29n
14n = 70
n = 5
16) 13 - 3p = -5(3 + 2p)
13 - 3p = -15 - 10p
-3p = -28 - 10p
7p = -28
p = -4
18) 14a - 93 = 49 - 57a
14a = 142 - 57a
71a = 142
a = 2
20) 8v = 2(4v + 2)
8v = 8v + 4
No solution
22) 2(-4h - 13) = 37 + 13h
-8h - 26 = 37 + 13h
-8h = 63 + 13h
-21h = 63
h = -3
24) 11n - 3 = 9 + 5n
6n = 12
n = 2
26) -9n - 12 = 8 - 4n
-5n - 12 = 8
-5n = 20
n = -4
The answer is One solution because the two lines are crossing each other and has one point in common
The function g(x)=4(x+3)² - 68 is mapped to 32.
<h3>What is equation?</h3>
An equation is a mathematical expression in terms of one or more unknown variable.
Given are the following functions:
f(x)= - 3x² - 4
g(x)= 4(x+3)²-68
f(x)= 3x
f(x)= 2x-62
To get the mapped function, we substitute the value of x in all function,
a) f(x)=-3x²- 4
Put x=2,
f(2)= -3 (2)² - 4
f(2)= -16
It is not mapped.
b) g(x)=4(x+3)² - 68
Put x=2,
g(2) = 4(2+3)² - 68
g(x) =32
It is mapped to 32.
c) f(x)=3x
Put x=2,
f(2) = 3 x 2 =6
It is not mapped.
d) f(x)=2x - 62
Put x=2,
f(2) =2x2 -62
f(2) = -58
It is not mapped.
Therefore, the function g(x)=4(x+3)² - 68 is mapped to 32.
Learn more about equations.
brainly.com/question/10413253
#SPJ1
Answer:
Point slope form : 
Slope intercept form: 
Standard form : 
Step-by-step explanation:
From the given graph it is clear that the line is passing through the points, (-4, 0), (-2, 1), (0, 2), and (2, 3).
If a line passes through two points 
and 
, then the equation of line is
Let as consider any two points of the line: (2, 3) and (0, 2).
The equation of line is
The point slope form of the line is .
Add 3 on both sides.
Therefore the slope intercept form of the line is .
Multiply both sides by 2.
Therefore, the standard form of the line is .
