Answer:
1. 1/2 +/-√5
2. 1 +/- i √6/2.
Step-by-step explanation:
1. f(x) = 4x^2 - 8x - 1
x = [-(-8) +/-√((-8)^2 - 4*4*-1)] / (2*4)
x =[ 8 +/- √80] / 8
= 1 +/- 4√5/8
= 1 +/- √5/2
= 1/2 +/-√5
2. By a similar method the zeros of the the second equation are:
x = [-(-4) +/- √((-4)^2 - 4*2*5)] / 4
= 4 +/- √(16 - 40) / 4
= 1 +/- √(-24)/4
= 1 +/- i √6 * 2 / 4
= 1 +/- i √6/2.
Answer:
is the answer.
In decimal y = 43.71
Step-by-step explanation:
Given:
y varies directly with x .
Also x = 7 when y = 18
To Find:
y = ? when x = 17
Solution:
y varies directly with x .
i.e. y is directly proportional to x
∴ 
Where
k = constant of proportionality {Remain Same}
First we will find constant of proportionality k,
∴ When x = 7 and y = 18 we have
∴ 
Now when x= 17 and 
we have
∴
∴ 
<h3>The ratio in three ways are 500 : 125 or 100 : 25 or 4 : 1</h3>
<em><u>Solution:</u></em>
Given that,
Five hundred sixth-grade students were surveyed
Which means,
sixth-grade students = 500
125 had traveled on an airplane
<em><u>What is the ratio of total sixth-grade students to the number of students who had traveled on an airplane?</u></em>
Therefore,
total sixth-grade students : students traveled on airplane = 500 : 125
<h3>Ratio = 500 : 125</h3>
Reduce to lowest terms,
Divide both sides by 5
<h3>Ratio = 100 : 25</h3>
Further reduce to simplest terms,
Divide both sides by 25
<h3>Ratio = 4 : 1</h3>
Thus the ratio in three ways are 500 : 125 or 100 : 25 or 4 : 1
High gloss : total
57 : 57+33
57 : 90
57 ÷ 3 : 90 ÷ 3
19 : 30
