1. You are going to make one of these bags from a roll of cloth 1 meter wide. What
1 answer:
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Answer:
(D)
Step-by-step explanation:
Two variables x and y are proportionally related if they can be written in the form y=kx, where k is the constant of proportionality.
From the given options, if
(B) is of the form y=kx
(C) is of the form y=kx with
as
in its lowest form.
(C) is of the form y=kx with
as
in fractional form.
On the Contrary,
In Option D, does not represent a proportional relationship between x and y. The constant of proportion is supposed to be a product of x.
Answer:
x = - 2.5
Step-by-step explanation:
Given that the sketch represents
y = x² + bx + c
The graph crosses the y- axis at (0 , - 14), thus c = - 14
y = x² + bx - 14
Given the graph crosses the x- axis at (2, 0), then
0 = 2² + 2b - 14
0 = 4 + 2b - 14 = 2b - 10 ( add 10 to both sides )
10 = 2b ( divide both sides by 2 )
b = 5
y = x² + 5x - 14 ← represents the graph
let y = 0 , then
x² + 5x - 14 = 0 ← in standard form
(x + 7)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 7 = 0 ⇒ x = - 7
x - 2 = 0 ⇒ x = 2
The x- intercepts are x = - 7 and x = 2
The vertex lies on the axis of symmetry which is midway between the x- intercepts, thus
the x- coordinate of the turning point is =
= - 2.5
To identify the function that contains the data in the table, we should first visualize the data.
A graph of the data is shown below:
From the plot above, we can identify that:
The graph above is a graph of f(x) = |x|, translated to the right 2 units and translated upwards 1 unit.
Hence, the function is:
Answer:
Option D
