Hello!
To calculate how many votes Mrs. Jones had received, you would begin by converting 70% into a decimal, and then multiplying that decimal by the total number of votes.
Remember, all percentages are out of 100. So, 70/100 can be simplified into 7/10. As a decimal, 7/10 would be 0.7.
Next, we multiply 0.7 by the total number of votes, which is 1,500.
0.7 · 1500 = 1050
Therefore, in this election, Mrs. Jones received 1,050 votes out of the total 1,500 votes casted.
6x^2 - 8 = 4x^2 + 7x
6x^2 - 4x^2 - 7x - 8 = 0
2x^2 - 7x - 8 = 0
discriminant = b^2 - 4ac; where a = 2, b = -7 and c = -8
d = (-7)^2 - 4(2)(-8)
d = 49 + 64
d = 113
the discriminant is greater than zero, so there are two real roots
If <em>x</em> = -1, you have
2(-1) + 3 cos(-1) + <em>e</em> ⁻¹ ≈ -0.0112136 < 0
and if <em>x</em> = 0, you have
2(0) + 3 cos(0) + <em>e</em> ⁰ = 4 > 0
The function <em>f(x)</em> = 2<em>x</em> + 3 cos(<em>x</em>) + <em>eˣ</em> is continuous over the real numbers, so the intermediate value theorem applies, and it says that there is some -1 < <em>c</em> < 0 such that <em>f(c)</em> = 0.
624 is how much is deducted from his pay every month
