You just plug in the -2 for x to get the equation -2^2–3•-2+4= 6
Answer:
0.47 and 11.53
Step-by-step explanation:
h = 60t − 5t²
27 = 60t − 5t²
5t² − 60t + 27 = 0
Quadratic formula:
x = [ -b ± √(b² − 4ac) ] / 2a
t = [ -(-60) ± √((-60)² − 4(5)(27)) ] / 2(5)
t = (60 ± √3060) / 10
t = 0.47 or 11.53
Answer:
The distance between the base of the tree and the flower is 9m
Step-by-step explanation:
Here, we have to paint a picture.
The flower is on the ground, the height of the tree is 12m.
The distance from the nest to the flower on the floor is 15m
Indisputably, what we have is a right angled triangle, with the height being 12m, the length of the hypotenuse being 15 and we are asked to calculate the adjacent which represents the distance from the base of the tree to the flower
To get this distance, we simply apply the Pythagoras’ theorem which states that the square of the hypotenuse(longest side of the triangle) is equal to the sum of the squares of the other two sides.
Thus mathematically, we know that our hypotenuse is 15m and the height is 12m
The length we are to calculate is the adjacent and it is equal to;
15^2 - 12^2
= 225 - 144
= 81
The length is thus
√(81) = 9m
Please check attachment for a diagrammatic picture of the triangle
Answer: the graph crosses the x-axis at x = -3
<u>Step-by-step explanation:</u>
y = (x + 3)³
To find where the graph crosses the x-axis, let y = 0 and solve for x:
0 = (x + 3)³
0 = (x + 3) with a multiplicity of 3
-3 = x with a multiplicity of 3.
Since multiplicity is an ODD number, the graph CROSSES the x-axis at x = -3
<em />
<u>Graph:</u>
- Leading coefficient is POSITIVE so right side goes to +∞
- Degree of polynomial is ODD so left side goes to -∞
<em>graph is attached</em>
Answer: 9,600 for the 10% account 10,500 for the 13% why they wouldn't want to put it in the same account is because risky investment for the 13
Step-by-step explanation: