Answer:
2.4 pints
Step-by-step explanation:
Araceli uses 9.6 pints of blue paint and white paints, that means the total volume of paint is 9.6 pints
If Three fourths of this amount is blue paint ,
Then 
7.2 pints of blue paint was used.
We want to find out how much white paint was used by Araceli
Volume of Blue Paint+Volume of White Paint=Total Volume of Paint
7.2+Volume of White Paint=9.6
Volume of White Paint=9.6-7.2=2.4 pints
When roots of polynomials occur in radical form, they occur as two conjugates.
That is,
The conjugate of (a + √b) is (a - √b) and vice versa.
To show that the given conjugates come from a polynomial, we should create the polynomial from the given factors.
The first factor is x - (a + √b).
The second factor is x - (a - √b).
The polynomial is
f(x) = [x - (a + √b)]*[x - (a - √b)]
= x² - x(a - √b) - x(a + √b) + (a + √b)(a - √b)
= x² - 2ax + x√b - x√b + a² - b
= x² - 2ax + a² - b
This is a quadratic polynomial, as expected.
If you solve the quadratic equation x² - 2ax + a² - b = 0 with the quadratic formula, it should yield the pair of conjugate radical roots.
x = (1/2) [ 2a +/- √(4a² - 4(a² - b)]
= a +/- (1/2)*√(4b)
= a +/- √b
x = a + √b, or x = a - √b, as expected.
Answer:
A. 4.5
Step-by-step explanation:
According to my graphing calculator, e^1.5=4.5 which is rounded to the nearest tenth.
Answer: e^1.5 = 4.482
Step-by-step explanation:
Given:
We need to find the value of function at x=1.5
Put x=1.5 into f(x)
Now we will verify the result using graph.
First we draw the graph of f(x) and a vertical line x=1.5
Please see the attachment for graph.
Hence, The value of
Rotation 90° translates (x, y) to (-y, x). Thus (3, 2) gets translated to (-2, 3). Your green box gets filled with -2.
Answer:
c + 190 = Weight of the lion
Step-by-step explanation: