Answer:
x = 3/2 or x = -4
Step-by-step explanation:
The identifiable error the students have is that before the left hand side of the equation is factorized, the right hand side value of 12 ought to be brought to the left hand side, leaving a net value of zero on the right hand side. Then whatever is factored on the left hand side is then equated to zero and then we can find the two values of x after setting each of the individual factors to zero
We proceed as follows;
![2x^{2} + 5x = 12\\2x^{2} + 5x - 12 = 0\\2x^{2} + 8x -3x -12 = 0\\2x(x+4) -3(x+4) = 0\\(2x-3)(x+4) = 0\\2x-3 = 0 or x+4 =0\\2x=3 or x=-4\\x = 3/2 or x= -4\\x = 1.5 or- 4](https://tex.z-dn.net/?f=2x%5E%7B2%7D%20%2B%205x%20%3D%2012%5C%5C2x%5E%7B2%7D%20%2B%205x%20-%2012%20%3D%200%5C%5C2x%5E%7B2%7D%20%2B%208x%20-3x%20-12%20%3D%200%5C%5C2x%28x%2B4%29%20-3%28x%2B4%29%20%3D%200%5C%5C%282x-3%29%28x%2B4%29%20%3D%200%5C%5C2x-3%20%3D%200%20or%20x%2B4%20%3D0%5C%5C2x%3D3%20or%20x%3D-4%5C%5Cx%20%3D%203%2F2%20or%20x%3D%20-4%5C%5Cx%20%3D%201.5%20or-%204)
Answer:
Step-by-step explanation:
(5y+4+3x)(5y+4-3x) = (5y+4)² - (3x)²......(from the difference of 2 squares )
by identity : (a+b)(a-b) = a² - b²
in this exercice ; a = 5y+4 and b = 3x
Answer:
C .The initial amount of money placed in the savings account
Step-by-step explanation:
f(x) = 3,267(1 + 0.02)^x
This is in the form
y = a b^x
where a is the initial amount
b is the growth rate
x is the time
3267 is the initial amount
1.02 is the growth rate, so it grows by .02 or 2 percent
and x is the time
Answer:
535.9 ft²
Step-by-step explanation:
Since there are 360° in a circle, and 240° is 2/3 of 360°, we can say that the area of the bolded sector is <em>2/3 the area of the whole circle</em>. The area of a circle with a radius of r is πr², or approximately 3.14r², so the area of the whole circle is ≈ 3.14(16)² = 3.14(256) = 803.84 ft². Taking 2/3 of this gets us 803.84 * (2/3) ≈ 535.9 ft²