<u>Answer:</u>
the function f(x) = 2x - 1 indicates:
a downward shift of 1 unit
as the y-intercept: (0, -1)
Answer:
no
Step-by-step explanation:
3^3=27
so 3^3+3^3+3^3=27+27+27=81
3^9=19683
<span>We are given that ||e|| = 1, ||f|| = 1. </span>
<span>Since ||e + f|| = sqrt(3/2), we have </span>
<span>3/2 = (e + f) dot (e + f) </span>
<span>= (e dot e) + 2(e dot f) + (f dot f) </span>
<span>= ||e||^2 + 2(e dot f) + ||f||^2 </span>
<span>= 1^2 + 2(e dot f) + 1^2 </span>
<span>= 2 + 2(e dot f). </span>
<span>So e dot f = -1/4. </span>
<span>Therefore, </span>
<span>||2e - 3f||^2 = (2e - 3f) dot (2e - 3f) </span>
<span>= 4(e dot e) - 12(e dot f) + 9(f dot f) </span>
<span>= 4||e||^2 - 12(e dot f) + 9||f||^2 </span>
<span>= 4(1)^2 - 12(-1/4) + 9(1)^2 </span>
<span>= 4 + 3 + 9 </span>
<span>= 16. </span>
Answer: for 2 cups, There are 232 Calories.
Step-by-step explanation:
Step 1
Let the calories in one cup be represented as C
Therefore
3/4 x C = 87 calories
C = 87 X 4 / 3 = 116
unit rate is 116 calories per cup.
Step 2- Solving the number of calories in 2 cups
1 cup serving = 116 calories
2 cups servings = 116 x 2= 232 calories