Answer:
=
−
±
2
−
4
√
2
x=\frac{-{\color{#e8710a}{b}} \pm \sqrt{{\color{#e8710a}{b}}^{2}-4{\color{#c92786}{a}}{\color{#129eaf}{c}}}}{2{\color{#c92786}{a}}}
x=2a−b±b2−4ac
Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.
6
2
−
5
−
4
=
0
6x^{2}-5x-4=0
6x2−5x−4=0
=
6
a={\color{#c92786}{6}}
a=6
=
−
5
b={\color{#e8710a}{-5}}
b=−5
=
−
4
c={\color{#129eaf}{-4}}
c=−4
=
−
(
−
5
)
±
(
−
5
)
2
−
4
⋅
6
(
−
4
)
√
2
⋅
6
Step-by-step explanation:
Given:
The equation of a line is

To find:
The slope and y-intercept of the line.
Solution:
We have,
...(i)
The slope intercept form of a line is
...(ii)
Where, m is the slope and b is the y-intercept.
On comparing (i) and (ii), we get

Slope of the line = 1
y-intercept of the line = -4
The coordinate form of y-intercept is (0,b). So, the y-intercept of the given line is (0,-4).
Therefore, the slope of the line is 1 and the y-intercept is (0,-4).
Answer:
$20,000 = sales
Step-by-step explanation:
Giving the following information:
Fixed salary= $300
Commission rate= 1% of sales
<u>First, we need to establish the net income formula:</u>
Net income= 300 + 0.01*sales
<u>Now, the sales required for $500 net income:</u>
500= 300 + 0.01sales
200/0.01 = sales
20,000 = sales
Prove:
Net income= 300 + 0.01*20,000
Net income= $500
Answer: 20%
100 shares at $45each cost 100*45 = $4500
After a year, he sold the share at the rate if $52 each and it cost 52*100 = 5200
He received dividend of $2 on each dollars meaning 100*2 = $200
So,
$5200+200 = 5400
Profit = $5400 - 4500 = 900
%profit = 900*100 / 4500 = 20
Answer:
f(x)= 7
Step-by-step explanation:
1. Multiply the -1(the negative sign in front of the x) with the x=-3 to get 3
2. Multiply the 3 and the 2 to get 6
3. Add the 6 and the +1 to get 7
f(x)= 7