The equation
is plotted on graph below (red line)
Translating
three units to the left can be done by choosing any coordinates on
.
Let choose (0,0) and (2,1)
Translating 3 units on to the left gives the new coordinates (0-3, 0)=(-3,0) and (2-3, 1)=(-1, 1)
The gradient of the two functions will stay the same since the lines are parallel to each other, so m = 0.5
By joining the two coordinates (-3,0) and (-1,1), we see that the translated line crosses y-axis at 1.5
The equation of translated line is given
Answer:
<em>40 + 5x ≤ 50</em>
Step-by-step explanation:
<u>Inequalities</u>
The maximum weight allowed for checked bags on a particular airline is 50 pounds.
Jennifer has already used up to 32 pounds of clothes and the empty suitcase weighs 8 pounds. This makes a weight of 40 pounds already used.
If five identical gifts of x pounds each are to be included in the suitcase, the total weight is 40 + 5x. And that weight cannot exceed 50 pounds, thus:
40 + 5x ≤ 50
That is the inequality to represent the situation.
Answer:
Step-by-step explanation:
1a. 25/50 =x/100
25*100= 2500/50= 50
A= 50%
1b. 35/40 = x/100
35*100= 3500/40= 87.5
A=87.5%
2a. 15/20= x/100
20*5= 100; 15*5= 75
A=75%
2b. 25/70= x/100
25*100= 2500/70= 35.71
A=35.71
3a. 15/80= x/100
15*100= 1500/80=18.75
A=18.75%
3b. 30/60= x/100
30/60= 1/2;1/2=0.5;0.5= 50%
A=50%
4a. 70/80 =x/100
70*100=7000/80 =87.5
A=87.5
4b.30/60 = 50% ( same as question #3b)
Answer:
C≈15.71cm
Step-by-step explanation:
C=2πr
d=2r
C=πd=π·5≈15.70796cm