If there are 4 pens there will be 1 pencil, if there is 1 pencil there will be 4 pens
If the ratio is factored to a number, let's say 3, then there will be 12 pens for every 3 pencils
f(x) = x³ - 2x² - 24x
x³ - 2x² - 24x = 0
x(x² - 2x - 24) = 0
x = 0
x² - 2x - 24 = 0
a = 1, b = -2, c = -24
Delta = (-2)² - 4 * 1 * (-24) = 4 + 96 = 100
x = (-(-2) - 10)/(2 * 1) = -8/2 = -4
x = (-(-2) + 10)/(2 * 1) = 12/2 = 6
Answer: 2)
The percentage of students that passed the exam is 25.2%
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<u>The given parameters;</u>
- number of the males, = 85
- number of the females, = 30
- percentage of the female that passed = 40%
- percentage of the male that passed, = 20%
<u>To find:</u>
- the percentage of students that passed the exam
The number of the male students that pass the exam;
The number of the female students that pass the exam;
The total number of students in the school;
= 85 + 30
= 115
The total number of the students that passed the exam;
= 17 + 12
= 29
The percentage of students that passed the exam;
Thus, the percentage of students that passed the exam is 25.2%
Learn more here: brainly.com/question/1163846
The distance between any two points can be found using the Pythagorean Theroem...
d^2=(x2-x1)^2+(y2-y1)^2 in this case
d^2=(2-2)^2+(1--6)^2
d^2=0+49
Since d>0
d=7 units
Answer:
(a) 1
(b) 1
(c) 3.03
Step-by-step explanation:
The given quadratic equation is
Subtract 27 from both sides.
Taking out common factor.
Divide both sides by 4.
If an expression is , then we need to add , to make it perfect square.
Here, b=2, so
Add 1 on both sides.
Taking square root on both sides.
Subtract 1 from both sides.
and
and
Only one solution is positive.
Greatest solution is 3.031, therefore the approximate value of this solution is 3.03.
