Answer:
y=1x+3
3 is where the line hits the y axis
<u>1</u>
1 is how munch it rises/goes to the side
Answer:
Sum of the first 15 terms = -405
Step-by-step explanation:
a + 3d = -15 (1)
a + 8d = -30 (2)
Where,
a = first term
d = common difference
n = number of terms
Subtract (1) from (1)
8d - 3d = -30 - (-15)
5d = -30 + 15
5d = -15
d = -15/5
= -3
d = -3
Substitute d = -3 into (1)
a + 3d = -15
a + 3(-3) = -15
a - 9 = -15
a = -15 + 9
a = -6
Sum of the first 15 terms
S = n/2[2a + (n − 1) × d]
= 15/2 {2×-6 + (15-1)-3}
= 7.5{-12 + (14)-3}
= 7.5{ -12 - 42}
= 7.5{-54}
= -405
Sum of the first 15 terms = -405
Answer:
y = 2^{x}
Step-by-step explanation:
Given the above data for x and y.
From the algebraic expression;
y = 2^{x}
We can deduce that the value of y is equal to two (2) raise to the power of x.
When x = 1, y = 2
y = 2^{x}
y = 2^{1}
y = 2
When x = 2, y = 4
y = 2^{x}
y = 2^{2}
y = 4
When x = 3, y = 8
y = 2^{x}
y = 2^{3}
y = 8
The above calculations can be used to determine the other values of y with respect to x.
Answer:
(a-4)x-b+9
Step-by-step explanation:
hope this helps
Answer:
D. (1,0)
Step-by-step explanation:
Just plug in each coordinate for x and y into 4x+2y and see which one is less than or equal to 6.
Lets go through all of the possible answers:
<u>A</u>. (0,4)
4(0) + 2(4) ≤ 6
0 + 8 ≤ 6
8 ≤ 6
This is false. 8 is not less than or equal to 6.
<u>B</u>. (5,0)
4(5) + 2(0) ≤ 6
20 + 0 ≤ 6
20 ≤ 6
This is false. 20 is not less than or equal to 6.
<u>C</u>. (5,7)
4(5) + 2(7) ≤ 6
20 + 14 ≤ 6
34 ≤ 6
This is false because 35 is not less than or equal to 6
<u>D</u>. (1,0)
4(1) + 2(0) ≤ 6
4 + 0 ≤ 6
4 ≤ 6
This is true, because 4 is less than 6.
