He product of two positive numbers is 750. The first number is 5 less than the second number. The equation x(x – 5) = 750 can be used to find x, the value of the greater number. What is the value of the greater number?
Solution
Here the second number is "x"
The first number is "x - 5"
The equation is x (x - 5) = 750
- 5x = 750
Subtract 750 from both sides, we get
Solving the above quadratic equation using quadratic formula, we get
Here we have to plug in a =1, b = -5 and c = -750 in the above formula, we get
When we simplify the above expression is...
x = 30 and x = -25
x = -25 cannot be the solution since it is negative value.
x = 30 is the solution.
Here "x" represents the second number which is 30, that is the greater number.
Therefore, the answer is 30.
Answer:
Hewo Asuna here
Sure!
Step-by-step explanation:
<h3>
Two possible answers: 6 or -6</h3>
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Explanation:
r = common ratio
To get any term in a geometric sequence, we multiply the previous term by r.
So that means 4r is the second term, since 4 is the first term.
The third term is (4r)*r = 4r^2, which is equal to 9 as given to us.
4r^2 = 9
4r^2 - 9 = 0
(2r)^2 - (3)^2 = 0
(2r - 3)(2r + 3) = 0 ... difference of squares rule
2r-3 = 0 or 2r+3 = 0
2r = 3 or 2r = -3
r = 3/2 or r = -3/2
r = 1.5 or r = -1.5
We can use each r value to find the possible second term
S = 4r = 4*(1.5) = 6
S = 4r = 4*(-1.5) = -6
The second term is either 6 or -6.
We could have this sequence: 4, 6, 9, ...
Or we could have this sequence: 4, -6, 9, ...
Answer: 3 1/18
11/3 * 5/6 =
55/18
= 3 1/18
Answer:
43 degrees for the first problem
Step-by-step explanation:
On the first problem we see, we are given that one angle is 231 degrees. After counting the sides of this shape, we see it is a 4-sided quadrilateral. This means that the total amount of degrees in this shape equals 360 degrees. Since each unknown degree is represented by the same value (w), we can deduce that all of these unknown angles are equal to each other.
Let's set up our problem now.
360 degrees = the amount of degrees in a quadrilateral
231 degrees = the given amount of degrees we have so far
In order to see how many degrees we have left in the quadrilateral, let's subtract the number degree we already know from the total degree number that we know: 360 - 231 = 129
Now we see that the remaining three angles have a total of 129 degrees. This doesn't mean we're done.
3 congruent angles together = 129 degrees
We need to find the degree of a single unknown angle now. This can be done by simply dividing the mass total of the three congruent angles by the amount of congruent unknown angles there are.
129/3 = 43
Our final answer is 43 degrees.
