Answer:
d = 3
Step-by-step explanation:
Expand the right side and compare the coefficients of like terms
x² + 6x + c = x² + 2dx + d²
For the 2 sides to be equal then coefficients of like terms must be equal
compare coefficients of x- terms, then
2d = 6 ⇒ d = 3
Answer:
c
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
there isn't much of a harsh trend, but the graph shows that generally when the unemployment is lower, the life expectancy is higher, and when the unemployment is higher, the life expectancy is lower.
The value of q is 40
Step-by-step explanation:
In the quadratic equation ax² - bx + c = 0, where
- a = 1
- b is the sum of its two roots
- c is the product of its two roots
Assume that the roots of the quadratic equations are x and y
∵ The quadratic equation is x² - 14x + q = 0
∴ a = 1 , b = 14 and c = q
∵ b is the sum of its two roots
∵ Its roots are x and y
∴ x + y = 14 ⇒ (1)
∵ The difference between the roots is 6
∴ x - y = 6 ⇒ (2)
Now we have a system of equation to solve it
Add equations (1) and (2)
∴ 2x = 20
- Divide both sides by 2
∴ x = 10
Substitute the value of x in equation (1) or (2) to find y
∵ 10 + y = 14
- Subtract 10 from both sides
∴ y = 4
∵ c is the product of the two roots
∴ c = 10 × 4 = 40
∵ c = q
∴ q = 40
The value of q is 40
Learn more:
You can learn more about the system of equations in brainly.com/question/2115716
#LearnwithBrainly
Answer:
E
Step-by-step explanation:
You can easily solve this by rearranging the ones that look alike. 7a^2-5a^2+10a-3a=5a^2+7a
