Answer:
The equation of the line with slope 6 and containing the point (0, 4) will be:
The graph of the line y = 6x+4 is attached below.
Step-by-step explanation:
The slope-intercept form of the line equation
where
Given
The y-intercept can be determined by setting x = 0 and determining the corresponding value of y.
The point (0, 4) indicates that:
at x = 0, y = 4
Thus, the y-intercept b = 4
now substituting b = 4 and m = 6 in the slope-intercept form of the line equation
Thus, the equation of the line with slope 6 and containing the point (0, 4) will be:
The graph of the line y = 6x+4 is attached below.
Hi there,
G = green beans
C = Cauliflower
B = broccoli
G + C = 55
C + B = 54
G + B = 56
G + B + C = 53
If 53 students ate all three, then 2 students ate just green beans and cauliflower (55-53)
If 53 students are all three, then 1 students ate just cauliflower and broccoli (54-53)
If 53 students are all three, then 3 students ate just green beans and broccoli (56-53)
So we have
53 eat G, B, C
2 eat G, C
1 eats C, B
3 eat G, B
---
59 students
Now, 59 students eat green beans, then 59-53-2-3= 1 eats green beans only
56 students eat cauliflower, then 56-53-2-1=0 no students eat just cauliflower
60 students eat broccoli, then 60-53-1-3 = 3 eat just broccoli
So now we have
53 eat G, B, C
2 eat G, C
1 eats C, B
3 eat G, B
1 eats G only
0 eat C only
3 eat B only
-----
63 students
But we have 64 students. So one student doesn't eat any of the three vegetables.
3 students eat green beans but not cauliflower
3 students do not eat broccoli (2 +1)
0 students eat only cauliflower
4 students eat exactly two of the three vegetables.
Answer:
465 miles
Step-by-step explanation:
From the question,
S₁ = d₁/t₁............................... Equation 1
Where S₁ = Speed travels by Perry for the first journey, d₁= First distance traveled by Perry, t₁ = First time taken.
make d₁ the subject of the equation
d₁ = S₁t₁................... Equation 2
Given; S₁ = 55 miles per hour, t₁ = 5.5 hour
Substitute these values into equation 2
d₁ = 55×5.5
d₁ = 302.5 miles.
Also,
d₂ = s₂t₂.......................... Equation 2
Given: s₂ = 65 miles per hour, t₂ = 2.5 hours.
d₂ = 65×2.5
d₂ = 162.5 miles
Hence,
Total distance = d₁+d₂
Total distance = 302.5+162.5
Total disstance = 465 miles
Ok so solve each
A. c+14<24
c<10
false since 10 is included in the solution set (and > means not including as well)
B. C+18<u>></u>24
subtract 18
C<u>></u>6
false since 5 is in the solution set (and 5<6)
C. C+18>24
subtract 18
C>6
false again since 5 is included
D. C+14<u><</u>24
subtract 14
C<u><</u>10
treu since <u><</u> means c is less than or equal to 10
answer is D
The2nd one is the best one