Step-by-step explanation:
(4s + 2) × (5s² + 10s +3)
we know immediately the first and the last term of the result, because there is only one operation to build them :
20s³ and 6.
so, the first answer option is already eliminated.
let's multiply
4s×5s² + 4s×10s + 4×3s + 10s² + 20s + 6
20s³ + 40s² + 12s + 10s² + 20s + 6
20s³ + 50s² + 32s + 6
so, the last answer option is correct.
6 teams 5 times the key word is times this means multiply so 6x5=30
The slope (increase) is 0.26 and the y-intercept (start) is 67.6.
You could describe the temperature outside using this equation.
For example, at the beginning of the day, the temperature was 67.6. Then, it increase by 0.26 degree for every given amount of time (minutes or hours).
Answer:
Price of widget to break even= $37.9
Step-by-step explanation:
We are told that the equation representing the amount of profit, y, made by the company, in relation to the selling price of each widget, x is;
y = -8x² + 348x - 1705
Now, the company will break even when it has made no profit. That is when, y = 0
Thus;
0 = -8x² + 348x - 1705
Rearranging,
8x² - 348x + 1705 = 0
Using quadratic formula ;
x = [-b ± √(b² - 4ac)]/2a
x = [-8 ± √(-348² - 4•1•1705)]/(2 x 8)
x = $5.63 or $37.87
We'll use $37.87 because it is the highest price for which no profit is made, and higher price means that we could sell least number of products to earn a certain amount of money.
We are told to approximate to nearest cent. Thus,
Price of widget = $37.87 ≈ $37.9
One really simple way to find an equivalent fraction is just to multiply the numerator and denominator.
For example, for the first answer, 
, I simply multiplied the numerator and denominator each by 2. This gives you an equivalent fraction.
You can then continue with this process using numbers such as 3, 4, 5, and 6 as your multiplication factor.
