Rectangular prism the two square on the end have 4 vertices each
Answer:
Step-by-step explanation:
n and d are the number of nickels and dimes, respectively.
"there are 20 coins"
n+d = 20
d = 20-n
"total value is $1.40"
0.05n + 0.10d = 1.40
0.05n + 0.10(20-n) = 1.40
-0.05n + 2 = 1.40
0.05n = 0.6
n = 12
d = 20-m = 8
Answer:
a. Narrower
b. Shifts left
c. Opens up
d. Shifts up
Step-by-step explanation:
The original quadratic equation is y = x²
The given quadratic equation is y = 5·(x + 4)² + 7
The given quadratic equation is of the form, f(x) = a·(x - h)² + k
a. A quadratic equation is narrower than the standard form when the coefficient is larger than the coefficient in the original equation
The quadratic coefficient is 5 > 1 in the original, therefore, the quadratic equation is <em>narrower</em>
b. Given that the given quadratic equation has positive 'a', and 'b', and h = -4, therefore, the axis of symmetry <em>shifts left</em>
c. The quadratic coefficient is positive, (a = 5), therefore, the quadratic equation <em>opens down</em>
d. The value of 'k' gives the vertical shift, therefore, the given quadratic equation with k = 7, <em>shifts up.</em>
