You start by finding the slope : y2 - y1 / x2 - x1
2 - 8 / 4 - (-16)
- 6 / 20
m = - 3 / 10
Point slope form : y - y1 = m( x- x1 )
You can pick either of the coordinates and substitute them in
POINT SLOPE FORM EQUATION : y - 8 = -3/10 ( x + 16 )
Answer:
the solutions are (3, 7) and (-1, -1)
Step-by-step explanation:
Insert the " = " symbol between the two equations, obtaining:
y = x^2 - 2 = y = 2x + 1
Then x^2 - 2 = 2x + 1, or
x^2 - 2x - 3 = 0, and this can be factored into (x - 3)(x + 1) = 0.
Thus, the x values that satisfy this system are {-1, 3}.
Use y = 2x + 1 to find the corresponding y values:
y = 2(-1) + 1 = -1
and
y = 2(3) + 1 = 7
Then the solutions are (3, 7) and (-1, -1)
Answer:
$40 per week
Step-by-step explanation:
Step one:
Given data
the initial amount is = $100
the total amount= $500
let the number of weeks be x
Step two:
The expression for the scenario is
From the expression above, the rate of the change is $40 per week.
this means that in every week the account will be increased by $40
Answer:
3000 square inches.
Step-by-step explanation:
First, scale this one up. Multiply each by 2. consider area of a trapezoid. A = 1/2 (b1 + b2) h. This will be 1/2 (20 + 30) * 20, so you'll get 500 square in. Then, multiply by 6 since Buffy is making 6 of them. 500 * 6 = 3000 square inches.
Answer:
y = 9x + 175
Step-by-step explanation:
Choose one value for y in the table, for example, 211. All the equations have 9x, so multiply the corresponding x for 9:
9•4 = 36
Now make the value of y - 36:
211 - 36 = 175
Now you have the equation:
y = 9x +175
