Answer:
y = 5x - 2
Step-by-step explanation:
✅Rate of change = change in y/change in x
Rate of change of the table of values using two pairs of values from the table (2, 8) and (3, 11):
Rate of change = (11 - 8)/(3 - 2) = 3/1
Rate of change = 3
✅Rate of change of the equation, y = 5x - 2.
The equation is represented in the slope-intercept form, y = mx + b.
Where, m = slope/rate of change
Therefore, rate of change if the equation would be 5.
Rate of change = 5
✔️The function that has the greater rate of change would therefore be y = 5x - 2
The area of the isosceles trapezoid is 136 cm2
To find the area of the trapezoid, first we need to make an exact triangle to the other side of the trapezoid, just like in the diagram is showing, ( so you will have 2 triangles in the trapezoid, thinks about that the triangle that is on the diagram is reflecting to the other side) then we have a rectangle on the center of the trapezoid, we use the area formula which is would be 8x13=104, then we take the area formula of the triangle and substitute, which would be (1/2)8x4=16, we multiply 16 by 2 to get 32, this would be the area of the two triangles plus the area of the rectangle which is 104 gives a total of 136 cm2
Hope this help!!! :)
Answer:
The total amount of money Susan must pay if she orders 5 tickets is $235.
Step-by-step explanation:
Simply plug in the number of tickets!
45(5) + 10 = $235
Answer:
The system has exactly one solution where x = 0 and y = -3.
Step-by-step explanation:
-6x + y = -3
7x - y = 3
(7x - 6x) + (y - y) = 3 - 3
x + 0 = 0
x = 0
7(0) - y = 3
0 - y = 3
-y = 3
y = -3
-6(0) + y = -3
0 + y = -3
y = -3
So, the system has exactly one solution where x = 0 and y = -3.
Hope this helps!
Answer:
Step-by-step explanation:
When equal bases are multiplied, the powers add.
The bases of both expressions is x.
The powers are 5 and 7.
The answer is x^(5 + 7) = x^(12)