A1. 12 i.e option D
A2. 3n-7 i.e option A
A3. -6n+20 i.e option D
A4. -70 i.e option C
Step-by-step explanation:
aₙ = a₁ + (n - 1) × d
aₙ = the nᵗʰ term in the sequence
a₁ = the first term in the sequence
d = the common difference between terms
Using the above formula to solve the first part, we have :
For the second part, we have :
For the third part, we have :
For the fourth part, we have :
Answer:
4x^2
Step-by-step explanation:
The greatest common factor is the greatest number that can divide the terms. The greatest number that can divide each term is 4, and the greatest power of x that can divide each term is x^2. This is because it can't be any number greater than 4 since that number would never be able to divide into 4. This is also the reason why x^2 is the greatest power possible. It cannot be greater than anything divisible by itself. Thus, you multiply 4 by x^2 and the answer is 4x^2.
Equation of the line in slope-intercept form is y = -1/5 x + 9
Step-by-step explanation:
- Step 1: Given slope of the line is -1/5 and the point is (-10, 9). Here m=-1/5.
⇒ y = -1/5 x + b ------ (1)
- Step 2: Find the y-intercept of the line, b. Since the line passes through (-10, 9) substitute x = -10 and y = 9 in eq(1)
⇒ 9 = -1/5 × -10 + b = 2 + b
⇒ b = 9 - 2 = 7
- Step 3: Slope intercept form of the line is y = mx + b. Form the equation using the values of m and b.
⇒ y = -1/5 x + 7
It can also be written as 5y + x = 35
Yes it is C if you do the math and simplify it that is what you’ll get