Consider the following equation.
1 answer:
The approximate solution of the above equation is: 55/15 (Option A). This is solved using the quartic formula, not quadratic equation.
<h3>What is the Quartic Formula?</h3>
The quartic formula has up to four various solutions including real and imaginary numbers. Read on for more explanation.
<h3>What is the solution to the above question?</h3>
First we restate the above equation:
x²-3x+2= √(x-2) + 2
Next we remove square roots - 6x³ + 9x² = x - 2
Add two to both sides
→ - 6x³ + 9x²+2 = x - 2 +2
→ - 6x³ + 9x²+2 = x
Subtract X from both sides
→ - 6x³ + 9x²+2 -x = x -x
→ - 6x³ + 9x²+2 - x= 0
Using the Quartic formula to solve the fourth order equation:
a + bx³ + cx² + dx + e
The resolution of x is given as:
x = 2.691085, 3.346753
Because the fraction nearest to 3.4 is 55/16
hence, the correct answer is Option A.
Learn more about quadratic equations at;
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Answer:
6.25 feet.
Step-by-step explanation:
Please find the attachment.
Let L be the length of the ramp in feet.
We have been given that steel loading ramps are used to load a lawn mower onto a truck bed 37.5 inches above the ground. The ramp make a 30° angle with the ground.
We can see from our attachment that ramp and truck bed forms a right triangle with ground. The truck bed is opposite side and length of ramp is hypotenuse of our given angle.
Since we know that Sine relates the opposite and hypotenuse of a right triangle, so we will use Sine to solve for L.
Upon substituting our given values in above formula we will get,
Therefore, the length of the ramp is 75 inches.
Let us convert the length of ramp in feet.
1 feet = 12 inches.
Therefore, the length of the ramp is 6.25 feet.
ANSWER TO QUESTION 1
The set of natural numbers that are factors of 20 are natural numbers that divides 20 exactly without a remainder.
These natural numbers are;
{
}
Therefore the correct answer is D
ANSWER TO QUESTION 2
Given that the universal set U has elements
{
}
and the set P also has elements
{
}
The elements of P' are the elements that are in the universal set but are not in set P.
These elements are;
{
}
The correct answer is C
ANSWER TO QUESTION 3
The distance is given by the absolute value equation
If the is 15 feet away then
This implies that;
We now split the absolute value sign to obtain,
or
We now solve for t to obtain;
or
or
This gives us
or
The correct answer is C
ANSWER TO QUESTION 4
Given
P={
}
and
V={
}
P
V={2,4,6,8}
P\V are elements in P only .
This means that we have to take out the elements of the intersection of the two sets from P.
P\V ={0,1,3,5,5,7,9}
The correct answer is B
ANSWER TO QUESTION 5
The correct answer is B.
In listing the elements of a set, we do not repeat the element. In order words we list only distinct elements.
Blueberry is repeating in both sets but we have to list it once.
ANSWER TO QUESTION 6.
The correct answer is 220
We were told that 250 play basket ball
If 120 play both sports, then
250-120=130
play only basketball
Now the number of people who play only baseball
But the number of people who play baseball
see diagram
The set of natural numbers that are factors of 20 are natural numbers that divides 20 exactly without a remainder.
These natural numbers are;
{
Therefore the correct answer is D
ANSWER TO QUESTION 2
Given that the universal set U has elements
{
and the set P also has elements
{
The elements of P' are the elements that are in the universal set but are not in set P.
These elements are;
{
The correct answer is C
ANSWER TO QUESTION 3
The distance is given by the absolute value equation
If the is 15 feet away then
This implies that;
We now split the absolute value sign to obtain,
or
We now solve for t to obtain;
or
or
This gives us
or
The correct answer is C
ANSWER TO QUESTION 4
Given
P={
and
V={
P
P\V are elements in P only .
This means that we have to take out the elements of the intersection of the two sets from P.
P\V ={0,1,3,5,5,7,9}
The correct answer is B
ANSWER TO QUESTION 5
The correct answer is B.
In listing the elements of a set, we do not repeat the element. In order words we list only distinct elements.
Blueberry is repeating in both sets but we have to list it once.
ANSWER TO QUESTION 6.
The correct answer is 220
We were told that 250 play basket ball
If 120 play both sports, then
250-120=130
play only basketball
Now the number of people who play only baseball
But the number of people who play baseball
see diagram