I believe it’s g(k)=(-k- 3)(-k+3)
Answer:
7
Step-by-step explanation:
671/2 33 of 32 is right
Answer:
The new coordinates of the points of the line segment are p'(2,1) and q'(3,4)
Step-by-step explanation:
we know that
When you reflect a point across the line y= x, the x-coordinate and y-coordinate change places.
so
The rule of the reflection of a point across the line y=x is
(x,y) -----> (y,x)
we have
Points p(1,2) and q(4,3)
Applying the rule of the reflection across the line y=x
p(1,2) ------> p'(2,1)
q(4,3) -----> q'(3,4)
therefore
The new coordinates of the points of the line segment are p'(2,1) and q'(3,4)
Answer:
The rate of change in -4
Step-by-step explanation:
The rate of change is also known as the slope
To do this, take two points {(-2, 17) , (-1, 13)} and find the slope
m = slope
m = change in y/change in x
m = 13 - 17/-1 - (-2)
m = -4/1
m = -4
The rate of change in -4
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
