Answer:
- x/10 = 9
multiply by 10 on both sides
-x = 90
divided by -1 on both sides
x = -90
Y-intercept of f(x) is a value of function for x = 0.
y = 6^x ⇒ f(x) = 6^x
f(0) = 6^0 = 1
Answer: (0; 1)
Answer:
Step-by-step explanation:
Given:
The expression to simplify is given as:
In order to simplify this, we have to use the law of indices.
1. 
So, 
Substitute this value in the above expression. This gives,
Now, we use another law of indices.
2. 
So, 
Substitute these values in the above expression. This gives,
Finally, we further simplify it using the law 
So, 
Therefore, the given expression is simplified as:
Answer: A company saves $134.38 by choosing to make 50 of Box 2 instead of Box 1
Step-by-step explanation:
Hi, to answer this question we have to calculate the surface area of both boxes.
<em>Surface area (A) = 2wl + 2lh + 2hw,
</em>
Where w is width, l is length , and h is height.
- Box 1 = A = 2(6x20) + 2( 20x4) + 2 (4 x 6) =2 (120)+ 2 (80)+ 2(24) =448 in2
- Box 2 = A = 2 (4x15)+ 2(15x8)+ 2(8x4) = 2(60)+2(120)+2(32)=424 in2
Since 1 inch = 0.0833333 foot
- Box 1 = 448 in2 x 0,0833333 =37.34 ft2
- Box 2= 424 in2 x 0,0833333 =35.19 ft2
Since the material used to make a storage box costs $1.25 per square foot.
- Box 1 =37.34 ft2 x1.25 = $ 46.675
- Box 2= 35.19 ft2 x 1.25 =$43.98
Since 50 of each are made:
- Box 1 = $ 46.675 x50 =2,333.750
- Box 2= $43.98 x50 =2,199.37
Subtracting both costs:
2,333.750(1) - 2,199.37(2) = $134.38
