What are two combinations that equal EXACTLY $30?
2 answers:
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A chart would include
x, y
-2, 0
-1, 1
0, 2
1, 3
2, 4
The graph would look like this (Image attached)
Answer:
A) slope of f(x) = 3 , slope of g(x) = 7
B) y intercept of f(x) is 0 and g(x) is 2
So g(x) has greater y intercept
Step-by-step explanation:
Lets find equation of f(x) using the given table
LEts take two points from the table (0,0) (1,3)
we use equation y=mx+b
where m is the slope and b is the y intercept
we got m = 3, we use (0,0) and find out b
y=mx+b
0 = 3(0) + b
so b=0
So equation for f(x)= 3x +0
slope =3 and y intercept = 0
For equation g(x) = 7x +2 , slope = 7 and y intercept = 2
To solve for a variable, you need to get it (x) by itself.
x² - 14 + 31 = 63 Add 31 to -14
x² + 17 = 63 Subtract 17 from both sides of the equation
x² = 46 Square root both sides
x =
Check your work by plugging in
for x and then 
.
² - 14 + 31 = 63 Square
46 - 14 + 31 = 63 Subtract 14 from 46
32 + 31 = 63 Add
63 = 63
² - 14 + 31 = 63 Square
46 - 14 + 31 = 63 Subtract 14 from 46
32 + 31 = 63 Add
63 = 63
So, x is and .
x² - 14 + 31 = 63 Add 31 to -14
x² + 17 = 63 Subtract 17 from both sides of the equation
x² = 46 Square root both sides
x =
Check your work by plugging in
46 - 14 + 31 = 63 Subtract 14 from 46
32 + 31 = 63 Add
63 = 63
46 - 14 + 31 = 63 Subtract 14 from 46
32 + 31 = 63 Add
63 = 63
So, x is