Answer:
Step-by-step explanation:
To determine for which value of x a pair of expressions will be equal, we will need to set them equal to each other and then solve for x.
First, we can add 4 to each side
Now we can subtract 2x from each side
Now, just to check our answer, we can plug in our answer back into the original equation to see whether we get the same result for each side
Speed is d/t or distance/time so 70/3 = 23.33 mph
Using the given assumption, there are 3.
The sample space for rolling two dice and finding the sum is:
2 3 4 5 6 7
3 4 5 6 7 8
4 5 6 7 8 9
5 6 7 8 9 10
6 7 8 9 10 11
7 8 9 10 11 12
From the sample space alone, there are 5. However, since a 3 and a 5 is the same as a 5 and a 3, this means that 2, 6 is the same as 6, 2 as well; this takes 2 off of the 5, leaving us 3.
Answer:
y = - 4(x + 3)² + 7
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
From the graph (h, k ) = (- 3, 7 ), thus
y = a(x + 3)² + 7
To find a we require a point on the graph other than the vertex
Using (- 2, 3) , substitute into the equation
3 = a(- 2 + 3)² + 7
3 = a + 7 ( subtract 7 from both sides )
a = - 4
Thus
y = - 4(x + 3)² + 7 ← in vertex form
Question Correction
Evelyn packed this box with 1 inch cubes. Which expression does not show how Evelyn can find the volume of the box?
- (A)6+6+6+6+6+6
- (B) 2 X 3 X 6
- (C) 2 + 3 + 6
- (D) 6 X 6
Answer:
(C) 2 + 3 + 6
Step-By-Step Explanation
In the diagram,
- Height = 6 Units
- Length =2 Units
- Width =3 Units
Volume = Height X Length X Width
= 6 X 2 X 3
=36 cubic units
Consider the options:
(A)6+6+6+6+6+6 =36 cubic units
(B) 2 X 3 X 6 =36 cubic units
(C) 2 + 3 + 6 = 11 cubic units
(D) 6 X 6 =36 cubic units
Out of the option, that which is not equivalent to 36 cubic units is:
(C) 2+3+6
Therefore, it does not show how Evelyn can find the volume of the box.
