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.
Answer:
The length of the shorter base of the little trapezoid trail is 1 mi.
Step-by-step explanation:
Let the shorter base of the large trapezoid is S and the larger base of the large trapezoid is L.
Similarly, assume that the shorter base of the small trapezoid is s and the larger base of the small trapezoid is l.
Since, the trapezoids are similar, so
Now, given that S = 2 mi, L = 8 mi and l = 4 mi and we have to find s.
So, 
mi. (Answer)
7 by 2 for each blanket. If you split 28 into 2 sheets, its 14, sooo.
He should use 48 tablespoons of flour in his recipe.
Answer:
(1,6) & (7,0)
Step-by-step explanation:
y = -x + 7
y = -0.5(x - 3)² + 8
To solve the system, solve these two equations simultaneously
-x + 7 = -0.5(x - 3)² + 8
-x + 7 = -0.5(x² - 6x + 9) + 8
-x + 7 = -0.5x² + 3x - 4.5 + 8
0.5x² - 4x + 3.5 = 0
x² - 8x + 7 = 0
x² - 7x - x + 7 = 0
x(x - 7) - (x - 7) = 0
(x - 1)(x - 7) = 0
x = 1, 7
y = -1 + 7 = 6
y = -7 + 7 = 0
(1,6) (7,0)
Since the system has two distinct solutions, the line and the curve meet at two distinct poibts9: (1,6) & (7,0)
