Step-by-step explanation:
5 tablespoons = 2 cups milk
1 tablespoon = 2/5 cups milk
40 tablespoons = 2/5 × 40 = 16 cups milk
Answer:
The charges will be the same after 4 hours.
Step-by-step explanation:
Total Amount = y
Number of hours = x for x > 2
Garage A: y = $7.00 + (x - 2)*3
Garage B: y = 3.25*x
Part 3: What is the cost to be equal?
3.25x = 7 + 3(x - 2) Remove the brackets
3.25x = 7 + 3x - 6 Collect terms on the right
3.25x = 3x + 1 Subtract 3x from both sides.
3.25x - 3x = 3x - 3x + 1 Combine
0.25x = 1 Divide by 0.25
0.25 x/0.25 = 1 / 0.25
x = 4 hours.
Answer:
5x: linear; monomial
-7: constant; monomial
x^2 + 4: quadratic, binomial
x^2 - 3x + 11: quadratic, trinomial
2x - 9: linear, binomial
Step-by-step explanation:
Name using degree: just count the highest number of variables in a single term. if it's 0, its a constant polynomial, if it's 1 it's linear, 2 quadratic, 3 cubic
Name using number of terms: just count the number of "things" added or subtracted. If there's one, it's a monomial, two: binomial, three: trinomial.
Answer:The object will hit the ground after 5 seconds
Step-by-step explanation:
Given height of tower =80 ft
h=-16
+64t+80
When the object will hit the ground its height=0
0=-16+64t+80
Multiplying both sides by -1
16t²-64t-80=0
Dividing by 16 both sides
t²-4t-5=0
(t-5)(t+1)=0
t=5 or -1
So t=5 since time cannot be negative
The object will fall after 5 seconds
Answer:
= (3t+2)(3t-2)(3t-4)
Step-by-step explanation:
Given the expression 27t^3 - 36t^2 - 12t + 16
On factoring:
(27t^3 - 36t^2) - (12t + 16)
= 9t²(3t-4)-4(3t-4)
= (9t²-4)(3t-4)
factoring 9t²-4
9t²-4 = (3t)² - 2²
From different of two square, a²-b² = (a+b)(a-b)
Hence (3t)² - 2² = (3t+2)(3t-2)
= (9t²-4)(3t-4)
= (3t+2)(3t-2)(3t-4)
Hence the factored form of the expression is (3t+2)(3t-2)(3t-4)
