Answer:
x = 34°
y = 15
Step-by-step explanation:
x + 146 = 180
x = 34°
4y + 8 + 5y + 3 + 34 = 180
9y + 45 = 180
y = 15
Answer:
D
Step-by-step explanation:
Domain of the function 3x + 2y = 8 are the possible set of x-values represented as {-2, 0, 2, 4}.
To know which graph represents the above given function, find the range values of the function by plugging in each value of x into the equation, to find y.
For x = -2,
3(-2) + 2y = 8
-6 + 2y = 8
2y = 8 + 6
2y = 14
y = 14/2
y = 7
(-2, 7)
For x = 0,
3(0) + 2y = 8
0 + 2y = 8
2y = 8
y = 8/2
y = 4
(0, 4)
For x = 2,
3(2) + 2y = 8
6 + 2y = 8
2y = 8 - 6
2y = 2
y = 2/2
y = 1
(2, 1)
For x = 4,
3(4) + 2y = 8
12 + 2y = 8
2y = 8 - 12
2y = -4
y = -4/2
y = -2
(4, -2)
The graph which shows the following set of coordinates pairs calculated above, ((-2, 7), (0, 4), (2, 1), (4, -2)), is the graph of the function 3x + 2y = 8.
Thus, the graph in option D the shows the following calculated coordinate pairs. Therefore, graph D is the answer.
OFFER A is cheaper.
Step-by-step explanation:
Given,
OFFER A
Pack of 5
£2.75
Pay for 3 packs get 1 free
And
OFFER A
Pack of 5
£2.75
Pay for 3 packs get 1 free
To find which offer is cheaper.
<u>For OFFER A</u>
For 4 Packets he needs to pay £2.75
He needs to buy 40 batteries.
He needs to buy 40÷(4×5) = 2 packets.
Total cost = £2.75
×2 = £5.5
<u>For OFFER B</u>
For 4 Packets he needs to pay £2.52
He needs to buy 40 batteries.
He needs to buy 10 packets.
After discount he has to pay = £2.52
-(£2.52
×
) = £1.68
Total cost = £1.68×10 = £16.8
Hence,
OFFER A is cheaper.
Answer:
Interval [b,c] and interval [c,d]
Step-by-step explanation:
a(-5,0)
b(-1,2)
c(4,3)
d(11,4)
The average rate of change is the the total rise over the total run.
The Rise means the vertical increase and the Run means horizontal incease.
For interval [a,b]
rate of change is 
For [b,c]

For [c,d]

Answer:
80
Step-by-step explanation:
17+13=30
22+23+5=50
30+50=80