Answer:
= 6.
Step-by-step explanation:
We are given that n(A) = 4, n(B) = 5, and = 3.
And we have to find the value of .
<u>As we know that the union formula is given by;</u>
Now, substituting the values given in the question in the above formula, we get;
Hence, the value of = 6.
Answer:
8
Step-by-step explanation:
AB is 3 cm and AC is 2 cm, and since triangle ABC is an isosceles triangle, BC can either be 3 cm or 2 cm. We want the longest perimeter possible, so make BC 3 cm, and add the side lengths to find the perimeter.
P = 3 + 3 + 2 = 8.
Answer:
Step-by-step explanation:
To find the intercept with the x axis, we make h (x) = 0.
0 = (x + 1) ^ 2 - 4
0 = x ^ 2 + 2x + 1 -4
0 = x ^ 2 + 2x - 3
0 = (x +3) (x-1)
x = 1
x = -3
To find the intercept with the y axis, we make x = 0.
y = (0+1)^2 -4
y = -3
For a quadratic equation of the form ax ^2 + bx+ c
The vertex is calculated with the formula x = -b/2a
So:
x = -2/2(1)
x = -1
Finally the axis of symmetry of a quadratic function always passes through the vertex.
So:
x = -1
Below is a graph for this function, where you can see the cut points with the axes, the vertex and axis of symmetry
Answer:
Step-by-step explanation:
The common denominator of these 2 fractions is 10.
Turn the mixed number 3 4/5 into an improper fraction which would be
19/5.
Then multiply the numerator and denominator with 2 to get the denominator to be 10.
19/5 x 2 = 38/10
Now turn 2 1/10 into an improper fraction= 21/10
Now subtract...
38/10 - 21/10 = 17/10
So Timberly spent 17/10 or 1 7/10 more hours then Misty at the gymnastics practice
Answer:
Step-by-step explanation: is given value in dollars of a stock in t months after it is purchased.
a) Substitute 1 for t
V(12) =
b) Find derivative for V
c) When V(t) = 75
d) As t tends to infinity, exponent being in negative t tends to 0
So V tends to 42(1-0)+36 = 78