Answer:
see explanation
Step-by-step explanation:
Divide through by 2
2a² - 5a + 3 = 0
To factor the quadratic
Consider the factors of the product of the coefficient of the a² term and the constant term which sum to give the coefficient of the x- term
product = 2 × 3 = 6 and sum = - 5
The factors are - 2 and - 3
Use the factors to split the a- term
2a² - 2a - 3a + 3 = 0 ( factor the first/second and third/fourth terms )
2a(a - 1) - 3(a - 1) = 0 ← factor out (a - 1)
(a - 1)(2a - 3) = 0
Equate each factor to zero and solve for a
a - 1 = 0 ⇒ a = 1
2a - 3 = 0 ⇒ 2a = 3 ⇒ a =
Answer:
498,173.26.
Step-by-step explanation:
The place value of 9 in the number 3, 29,513 = 9000
In the required number,
Place value of 9 is 10 times of the value of 9 in 329, 513 = 9000 * 10 = 90,000
The value of 2 is one-tenth of 2 in 7562 = 2/10 = 0.2
The value of 6 is one-tenth value of 6 in 4.68 = 0.60/10 = 0.06
Thus, the required number would be 498,173.26 as the other numbers do not justify the above conditions of having 9 at ten thousand place, 2 at tenth, and 6 in hundredth place.
<h3>
Answer: A^2</h3>
You subtract the exponents using the rule
(x^y)/(x^z) = x^(y-z)
This rule only applies if both bases are the same.
Answer:
10
12.5% less than 80 = 10
Step-by-step explanation:
Step 1: Our output value is 80.
Step 2: We represent the unknown value with x.
Step 3: From step 1 above, 80=100%
Step 4: Similarly, x=12.5%
A ratio of 2:3 is the same as 2/3 now we can divide out 2/3 to .6666666 and then multiply by 10 to get 6.666666 or you could just multiply 10 x 2/3 to get 20/3 and then divide to get 6.66666.