The problem statement gives you the relationship between their speeds, and it gives you information you can use to find their total speed. You solve this by finding the total speed, then the proportion of that belonging to Bill.
The total speed is (120 mi)/(3 h) = 40 mi/h.
The speed ratio is ...
... Bill : Joe = 3 : 1
so the speed ratio Bill : Total is ...
... 3 : (3+1) = 3:4.
Bill's speed is (3/4)×(40 mi/h) = 30 mi/h.
Answer:
y = - 2(x + 4)² + 6
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k ) = (- 4, 6 ) , thus
y = a(x - (- 4) )² + 6 , that is
y = a(x + 4)² + 6
To find a substitute (- 2, - 2) into the equation
- 2 = a(- 2 + 4)² + 6 ( subtract 6 from both sides )
- 8 = a(2)² = 4a ( divide both sides by 4 )
- 2 = a , thus
y = - 2(x + 4)² + 6 ← equation in vertex form
Try to refrain from asking more than three questions per question for future reference.
11+4=15
6+4=10
4+7=11
12+4=16
0+4=4
4+0=4
10+4=14
4+5=9
9+4=13
4+2=6
4+8=12
4+3=7
7+4=11
4+4=8
4+1=5
8+4=12
Hope this helps.
-Benjamin
Answer:
Given the size of rectangular plate in advertisement = 5 cm by 3cm.
Given the condition for length should be = 0.25 of 5 cm
Step-by-step explanation:
Now, have to write the inequality from the given data.
Therefore, 5- 0.25 ≤ L ≤ 5+.25
4.75 ≤ L ≤ 5.25
We know that the area of a rectangle = Length × Width.
Width = 3
Thus, the area is 3 × L
3× (4.75) ≤ 3×L ≤3× (5.25)
14.25 ≤ 3×L ≤ 15.75
So the minimum area is 14.25 cm^2
The maximum area is 15.75 cm^2
