Answer:
9. B, C, D
10. A, D, E
Step-by-step explanation:
9. A. Students who bring lunch do not represent cafeteria purchases.
B. - D. Are randomized.
10. A. 1/4 of 50 is 12.5. about equal to 12
B. 12% of 50 is 6. not equal to 12
C. 12 ÷ 50 = 24. 3,000 × 0.24 = 720. not less than 500
D. (see above work) 720 = 720
E. 3,000 - 720 = 2,280. more than 2,000
Answer:
150
Step-by-step explanation:
The 100% of a number is represented by N and 60% of N = 90
To find the whole we multiply 90 with 100 and divide that by 60
100*90/60 = 150
So the hypotenuse is the ladder's length, which is 6m, and the base of the 'triangle' is 1.5m. Therefore, you do 6^2 - 1.5^2 = 36 - 2.25 = 33.75. Then, you just square root it to get 5.80948m. Hope this helps!
f(x) = (x + 7)² - 8
the equation of a quadratic in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
given the quadratic in standard form : y = ax² + bx + c ( a ≠ 0 )
then the x-coordinate of the vertex is
= - 
f(x) = x² + 14x + 41 is in standard form
with a = 1, b = 14 and c = 41
= -
= - 7
substitute this value into the equation for y- coordinate
y = (- 7 )² + 14(- 7 ) + 41 = 49 - 98 + 41 = - 8
f(x) = (x + 7)² - 8 ← in vertex form