Answer:
3a = 
Step-by-step explanation:
Given
2a + 4b = 5 ← substitute a = 3b into the equation
2(3b) + 4b = 5
6b + 4b = 5
10b = 5 ( divide both sides by 10 )
b = 
= 
Now
a = 3b = 3 × = 
, thus
3a = 3 × =
F(x^2) = x^2 - 3
5f(x^2) = 5x^2 - 15 = 2x - 8
Placing all the terms on the left side, we get:
5x^2 - 2x - 7 = 0 which factorises to
(5x - 7)(x + 1) = 0
So, x = 7/5 or x = -1
But x is non-negative, so x = 7/5 = 1 2/5
C is the answer.
Answer:
y=3x-10
Step-by-step explanation:
For this, you would use the point slope formula, which is (y-y1)=m(x-x1). x1 and y1 are the coordinates from the ordered pair.
(y-y1)=m(x-x1)
(y-2)=3(x-4)
y-2=3x-12
y=3x-10
To check, you can plug the coordinates into the equation.
y=3x-10
(2)=3(4)-10
2=12-10
2=2
Answer:
a. x = -9 or x = -2
b. -5(x - 4)
c. x = -3 or x = 5
d. x = ±7
Step-by-step explanation:
a. First person;
y = x² + 11x + 18
y = x² + 9x + 2x + 18
y = x(x + 9) + 2(x + 9)
y = (x + 9)(x + 2)
y = x = -9 or x = -2
b. Second person;
y = -5x + 20
The common factor is 5.
y = -5(x - 4)
c. Third person;
y = x² - 2x - 15
y = x² - 5x + 3x - 15
y = x(x - 5) + 3(x - 5)
y = (x + 3)(x - 5)
y = x = -3 or x = 5
d. Fourth person;
y = x² - 49
Applying the difference of squares formula;
(a² - b²) = (a - b)(a + b)
y = x² - 49 = x² - 7² = (x - 7)(x + 7)
y = (x - 7)(x + 7)
y = x = ±7
