Answer:
1. 44 + 3x
2. 2y - 8
3. x - 6
15. 
16. 
17. 
Step-by-step explanation:
1. 7² + 2² - 5 - 4 + 3x
49 + 4 - 5 - 4 + 3x
53 - 5 - 4 + 3x
48 - 4 + 3x
44 + 3x
2. - y - 5 + y + 2(2y-y) - 3
-y - 5 + y + 4y - 2y -3
-y - 5 + 5y - 2y - 3
4y - 2y - 5 - 3
2y - 8
3. 5x -3 - x - 3(x + 1²)
5x - 3 - x - 3x - 3
4x - 3x - 3 -3
x - 3 -3
x - 6
15. 
= 
= 
= 
→
16. 
= 
= 
= 
→ 
→
17. 
= 
= 
= 
→
Hope this helps.
Answer:
John did not make a mistake
Step-by-step explanation:
he did everything correct
Answer:The first option has a higher cost per liter and the required cost is $1.40 per liter.
Step-by-step explanation:
Step-by-step explanation: Given that a 2 liter bottle of juice cost $2.80. A box containing six 12 liter bottle sells for $3.90.
We are to select the option that has a higher cost per liter.
We will be using the UNITARY method to solve the given problem.
Option (1) :
The cost of 2 liter bottle of juice = $2.80.
So, the cost of 1 liter bottle of juice will be
Option (2) :
The cost of six 12 liters bottle of juice = $3.90.
So, the cost of 1 liter bottle of juice will be
Since 0.05>1.40, so the option of 2 liter bottle costing $2.80 has a higher cost per liter.
And, the required cost is $1.40 per liter.
Answer:
The answer is C.
Step-by-step explanation:
Given formula h(t)=−16t2+v0t+h0 , where v0 is the initial velocity and h0 is the initial height.
In this case, the initial postion is a platform 30ft above ground so h0=+30
The initial velocity is 38 ft/s straight up into the air so v0=+38
h(t)=-16t2+38t+30
When the object hits the ground, h=0.
h=-16t2+38t+30=0
Simplifying 8t2-19t-15=0
(8t+5)(t-3)=0
t=-5/8 or 3
As time cannot be -ve, t=3s. The answer is C.
Length of square side= 2 cm
Dilation factor= 7/3
Simplify 7/3= 2.33
Apply the dilation factor:
Length of side= 2.33 x 2 = 4.67 cm
As the length of the side of the square is increased in length, which means the dilated image is larger than the original image.
Answer: Larger than then original.
