Answer:
27x-64x^2
Step-by-step explanation:
Distribute the 8x
3x-64x^2+24x
Combine like terms (3x and 24x)
27x-64x^2
Answer:
x=8
Step-by-step explanation:
2(x+4) - 10 =14
distribute the 2 2x +8 -10 +14
simplify 2x-2=14
add 2 2x=16
devide by 2 x=8
Answer:
- Length = 43 inches
- Width = 12 inches
Step-by-step explanation:
Perimeter of a rectangle = 2 * ( L + W)
The length of a rectangle is 5 inches less than 4 times the width.
Assume the width is x. Length is:
4x - 5
Equation is therefore:
2 * (4x - 5 + x) = 110
4x - 5 + x = 110/2
5x - 5 = 55
5x = 55 + 5
x = 60/5
x = 12 inches
If width is 12 inches, then length is:
= 4x - 5
= 4 * 12 -5
= 43 inches
Answer:
15
Step-by-step explanation:
There is a positive, linear relationship between the correct and guessed calories. The guessed calories for 5 oz. of spaghetti with tomato sauce and the cream-filled snack cake are unusually high and do not appear to fit the overall pattern displayed for the other foods. The correlation is r = 0.825 . This agrees with the positive association observed in the plot; it is not closer to 1 because of the unusual guessed calories for spaghetti and cake. The fact that the guesses are all higher than the true calorie count does not influence the correlation. The correlation r would not change if every guess were 100 calories higher. The correlation r does not change if a constant is added to all values of a variable because the standardized values would be unchanged. The correlation without these two foods is r = 0.984 . The correlation is closer to 1 because the relationship is much stronger without these two foods.
