Answer:
10(5x - 6).
8(2m + 5).
9(3 - 5c)
Step-by-step explanation:
Given that
50x-60
16m+40
27-45c
The greatest common factor is a measure of the highest number present inside, or common to all the numbers that were listed. To take this one at a time, we have....
50x - 60. The highest number common to both of them is 10, and thus, we have
50x - 60 = 10(5x - 6), and this is the solved part.
16m + 40. The greatest number that's present inside both numbers is 8, and thus we have
16m + 40 = 8(2m + 5) and this is the solved part.
27 - 45c. The greatest common number is 9, and as a result, we have
27 - 45c = 9(3 - 5c), and this is the solution we were searching for
The correct answer is A!
A. 1/2 is equal to .5 so multiply 2,000 by .5 and you’ll get $1000. She spends $900 on rent. Since $900 is less than $1000 she is not spending more than half of her income on rent. There for this statement is False
B. If you do 2,000 multipled by .15 (which equals 15%) then you’ll get $300 and that’s how much she spends on savings. So this statement is true.
C. 1/4 = .25 so if you do 2,000 multiplied by .25 you’ll end up with $500. The total cost of utilities, cable and groceries ( 120 + 80 + 320 ) = $520 and since $500 is less than $520 then she is spending more than 1/4 of her income on those expenses. Which makes this statement true.
D. 14% is = .14 so if you do 2,000 multiplied by .14 you’ll get $280. The total of cell phone and other expenses ( 100 + 180 ) = $280 so that is true.
Answer:
In the first problem, the value of x is 13.85
Step-by-step explanation:
To find this, we can use the Pythagorean Theorem. This allows us to use the length of the legs (a and b) to determine the length of the hypotenuse (c) .
a^2 + b^2 = c^2
5.3^2 + 12.8^2 = c^2
28.09 + 163.84 = c^2
191.93 = c^2
13.85 = c
<u>Answer:</u>
The equation of a polynomial of degree 3, with zeros 1, 2 and -1 is
<u>Solution:</u>
Given, the polynomial has degree 3 and roots as 1, 2, and -1. And f(0) = 2.
We have to find the equation of the above polynomial.
We know that, general equation of 3rd degree polynomial is
where a, b, c are roots of the polynomial.
Here in our problem, a = 1, b = 2, c = -1.
Substitute the above values in f(x)
So, the equation is
Let us put x = 0 in f(x) to check whether our answer is correct or not.
Hence, the equation of the polynomial is
Given that
the inverse is such that
or
Differentiating both sides using the chain rule gives
Then the derivative of <em>f</em> at 2 is