8) you go up by 2 on the y-axis and over 3 on the x-axis
9) you have to go up 3 on the y-axis and over 2 on the x-axis
But you always have to go over then up
The graph represents a parabola and a parabola is maximum or minimum at its vertex . So we need to check the graph , and find the point where the graph is maximum or minimum. And from the given graph , we can say that it is a downward up parabola which is minimum at its vertex . And the minimum point is (1.4). So the vertex is (1,4) .
Answer:
slope: -(9/8)
y-intercept: 7
equation: y = -(9/8)x + 7
Step-by-step explanation:
Solve for the slope.
<em>m</em> (slope) = (y₂ - y₁)/(x₂ - x₁)
Let:
(x₁ , y₁) = (8 , -2)
(x₂ , y₂) = (0 , 7)
Plug in the corresponding numbers to the corresponding variables:
<em>m </em>= (7 - (-2))/(0 - 8)
<em>m</em> = (7 + 2)/(0 - 8)
<em>m</em> = 9/-8
Your slope is -(9/8)
Solve for the y-intercept. Plug in your slope into the slope intercept form:
y = mx + b
Let:
(x , y) = (0 , 7) & m = -(9/8)
Plug in the corresponding numbers to the corresponding variables:
7 = -(9/8)(0) + b
Simplify:
7 = (-9/8 * 0) + b
7 = (0) + b
b = 7
Your y-intercept is 7.
~
Answer:
Equivalent expressions
A)
C)
Step-by-step explanation:
Given expression :
Choices given :
A)
B)
C)
D)
To find the equivalent expression.
We will first evaluate the given expression.
⇒ [Quotient of a negative dividend and a positive divisor is always negative]
Evaluating each choice to select the equivalents.
A)
⇒ [Quotient of a positive dividend and a negative divisor is always negative]
B)
⇒
⇒
C)
⇒ [Product of a positive and a negative is always a negative]
⇒
D)
⇒ [Product of two negatives is always a positive]
⇒
∴ We see that the choices A and C are equivalent.
Answer:
35 minutes
Step-by-step explanation:
The total amount of water is 200 +60 = 260 gallons. The two tanks will have equal amounts when each has half that, or 130 gallons.
If the volume in tank 2 is increasing at 2 gallons per minute, it will increase by 70 gallons from 60 gallons to 130 gallons in 70/2 = 35 minutes.