Answer:
The expression could be used to verify g(x) is the inverse of f(x) is letter b which is 1/5(5x-25)+5
Step-by-step explanation:
Answer:
Cost of material is $245.31
Step-by-step explanation:
Let dimension of box,
<em>The length of this base is twice the width.</em>
<em>∴ </em>x = 2y
Volume of box = 10 m³
∴ xyz = 10
⇒ 2y²z = 10
⇒ y²z = 5
<em>Material for the base costs $15 per square meter.</em>
Total cost of base = 15xy
Total cost of base = 30y² [∵ x = 2y ]
<em>Material for the sides costs $9 per square meter.</em>
Total cost of side = 9(2xz+2zy)
Total cost of side = 18(xz+yz)
Total cost of material for container = 30y² + 18(xz+yz)
[From (i)]
Differentiate w.r.t y
For critical point , C'(y)=0
The minimum cost of container material at
Hence, the cheapest cost of material for container is $245.31
Answer: sides are 6 top and botom is 7
Step-by-step explanation: meserment
Solution:
<u>Note that:</u>
- Surface area: 2(LB) + 2(BH) + 2(LH)
<u>Substitute the values given into the expression to find the surface area.</u>
- 2(7 x 10) + 2(6 x 6) + 2(6 x 10)
- => 2(70) + 2(36) + 2(60)
- => 140 + 72 + 120
- => 332 mm²
The surface area of the rectangular prism is 332 mm².
Answer:
Hi there! Your answer should be $1984.
Step-by-step explanation:
First, we know that in 4 weeks Reagan has $124.00, and we want to know how much money he will have to save in 16 weeks, which is 4 times the amount of weeks he has $124 in. So, if the weeks are multiplied by 4, the money must be multiplied by 4. 124 x 4 = 1984, so Reagan must have $1984 in 16 weeks. Hope this helps!