Answer:
Input of x when it is equal to (1,2,3,4,5) gave an output of 3, 9, 27,81 & 243 respectively.
Step-by-step explanation:
Step 1. Substitute for x (1,2,3,4,5) in the functions to solve for the output of y.
y=3^x
when x= 1
y=3¹ = 3
when x= 2
y=3² = 9
when x= 3
y=3³ = 27
when x= 4
y=3⁴ = 81
when x= 5
y=3 ^ 5 = 243.
Input of x when it is equal to (1,2,3,4,5) gave an output of 3, 9, 27,81 & 243 respectively.
Answer:
the y-intercept is (0,-6)
the x-intercept is (8,0)
Step-by-step explanation:
<em>Solving for the y-intercept:</em>
Since the equation 'y=3/4x - 6' is in the 'y=mx + c' form (where m is the slope and c is the y-intercept):
3/4 is m (which is the slope)
-6 is c (which is the y-intercept)
<em>Solving for the x-intercept:</em>
When the line intersects with the x-axis, the y-value is 0. Hence, the coordinate is (x,0). Substituting this into 'y=3/4x - 6':
0 = 3/4x - 6
3/4x - 6 + 6 = 6
3/4x = 6
x = 4/3 * 6
= 8
Hence,
the y-intercept is (0,-6)
the x-intercept is (8,0)
<em>Hope this helps and be sure to have a wonderful time ahead at Brainly! :D</em>
Answer:
The slope intercept form of both given equations is : y = - 3 x - 4.
Step-by-step explanation:
Here, the given equations are:
y +7 = -3 ( x - 1 )
and 3 x + y = - 4
Now,the SLOPE INTERCEPT FORM of any given equation is given as:
y = m x + C : here, C = Y - intercept, m = Slope
Consider equation (1):
y +7 = -3 ( x - 1 ) ⇒ y + 8 = - 3 x + 3
or, y = -3x + 3 - 7 = -3x - 4
⇒ y = -3x -4
Hence, the slope-intercept form of the given equation is y = -3x -4.
Consider equation (2):
3 x + y = - 4 ⇒ y = -4 - 3 x
⇒ y = -3 x - 4
Hence, the slope-intercept form of the given equation is y = -3x -4.
