Answer:
A) slope = 2, y-intercept = -6
B) slope = -4, y-intercept = 6
Step-by-step explanation:
A) y = 2x - 6
The equation for a line is y = mx + b, where <em>m</em> represents the slope, and <em>b</em> represents the y-intercept. So, to find the slope and y-intercept, all we have to do is look at the line's equation.
Here, the <em>m </em>is 2, so the slope is 2
The <em>b</em> is -6, so the y-intercept is -6
B) y = -4x + 6
Here, the <em>m</em> is -4, so the slope is -4
The <em>b </em>is 6, so the slope is 6
You would graph the equation y = 4x + 6 by plotting a point at the y-intercept of the line, which would be 6. Then, for every time you move one space to the right, you'd plot a point four spaces up to show the slope of four.
Solve the following system:
{-3 + 2 x + y = 0 | (equation 1)
{-1 + x + y = 0 | (equation 2)
Express the system in standard form:
{2 x + y = 3 | (equation 1)
{x + y = 1 | (equation 2)
Subtract 1/2 × (equation 1) from equation 2:
{2 x + y = 3 | (equation 1)
{0 x+y/2 = (-1)/2 | (equation 2)
Multiply equation 2 by 2:
{2 x + y = 3 | (equation 1)
{0 x+y = -1 | (equation 2)
Subtract equation 2 from equation 1:
{2 x+0 y = 4 | (equation 1)
{0 x+y = -1 | (equation 2)
Divide equation 1 by 2:
{x+0 y = 2 | (equation 1)
{0 x+y = -1 | (equation 2)
Collect results:
Answer: {x =2 , y = -1
5280 per mile ! 21120! Good luck!
Answer:
C.
; 48 strands of bacteria
Step-by-step explanation:
Fred placed 3 strands of bacteria in a petri dish.
The bacteria strands double every hour.
Formula : y = ab^x
Where a is the initial value
b = growth rate
x = hours
So, A formula to represent how many bacteria strands are present at the nth hour : 
Now we are supposed to find how many strands of bacteria are present at 4 hours.
Substitute the value in the formula :
f(4)=48
Hence 48 strands of bacteria are present at 4 hours.
Answer:d
Step-by-step explanation:
