A. 2
b. 0
c. -2
d. 0
f(x) just means that the number in the parentheses is the x-value and if it asks for f(x) it wants the y-value at that x point
Answer:
x = -1 and y = 18
Step-by-step explanation:
Given the system of equations
y + 8x = 10... 1
2y - 4x = 40 ... 2
From 1; y = 10-8x
Substitute into 2;
2(10-8x) - 4x = 40
20 - 16x - 4x = 40
20 - 20x = 40
-20x = 40 - 20
-20x = 20
x = -1
Recall that y = 10-8x
y = 10 - 8(-1)
y = 10 + 8
y = 18
therefore your answer is x = -1 and y = 18
Answer:
Number of term = 48
Step-by-step explanation:
GIven:
Arithmetic progression
2,5,8..
Total sum of Arithmetic progression is 392
Find:
Number of term
Computation:
First term a = 2
Difference d = 5 - 2 = 3
Sn = [n/2][2a + (n-1)d]
392 = [n/2][2(2) + (n-1)3]
392 = [n/2][4 + 3n - 3]
784 = [n][1 + 3n]
784 = n + 3n²
3n² + n - 784
n = 48 , n = -49
Number of term = 48
Answer:
The length would be 32 and the width would be 10
Step-by-step explanation:
For the purpose of this, we'll set the width as x. We can then define the length as x + 22 since we know it is 22 ft longer than the width. Now we can use those along with the perimeter formula to solve for the width.
P = 2l + 2w
84 = 2(x + 22) + 2(x)
84 = 2x + 44 + 2x
84 = 4x + 44
40 = 4x
10 = x
Now since we know that the width is 10ft, we can add 22ft to it to get the length, which would be 32ft.
Complementary is when the two angles add up to 90 degrees.
Supplementary is when the two angles add up to 180 degrees.
To find a complementary angle do 90 minus the given angle.
To find a supplementary angle do 180 minus the given angle.