Answer:
B. f(x) = 5x - 7
Step-by-step explanation:
✔️Using the table of values given, find the slope (m) and y-intercept (b) of the line of the graph that represents the table, then write the function in slope-intercept form.
✔️Slope (m) using (0, -7) and (2, 3):
Slope (m) = ∆y/∆x
Slope (m) = (3 -(-7))/(2 - 0)
Slope (m) = 10/2
Slope (m) = 5
✔️ y-intercept (b):
b = -7, because where x = 0, y = -7, which is the point where the y-axis is intercepted by the line of the graph.
✔️Write the linear function in slope-intercept form by substituting m = 5 and b = -7 into f(x) = mx + b
Thus:
f(x) = 5x + (-7)
f(x) = 5x - 7
Therefore, the linear function that has a graph that includes all the points in the table would be f(x) = 5x - 7.
The answer is C because it is on the x axis and it is positive
Step-by-step explanation:
$7 = 1 package socks
%56 = ??
$56/$7 × 1 package socks
= 8 × 1
= 8 package socks
Hope it helps!
Answer:
2x + 3y = 13
4x - y = -2
In the second equation, subtract 4x from both sides.
-y = -2 - 4x
Divide both sides by -1.
y = 2 + 4x
Put this into the first equation in place of y.
2x + 3(2 + 4x) = 13
Multiply everything in the parenthesis by 3.
2x + 6 + 12x = 13
Combine like terms.
14x + 6 = 13
Subtract 6 from both sides.
14x = 7
Divide 14 on both sides.
x = 7 / 14
x = 0.5
Put this into the second equation in place of x.
4(0.5) - y = -2
2 - y = -2
Subtract 2 from both sides.
-y = -4
Divide both sides by -1.
y = 4
So x = 0.5 and y = 4.
Step-by-step explanation:
