What is the x-intercept h=-16t^2+20t+6?

see explanation

Step-by-step explanation:

To find the intercepts equate h to zero, that is

- 16t² + 20t + 6 = 0 ← divide all terms by 2

- 8t² + 10t + 3 = 0 ← multiply through by - 1

8t² - 10t - 3 = 0 ← factor the quadratic

Consider the factors of the product of the coefficient of the t² term and the constant term which sum to give the coefficient of the t- term

product = 8 × - 3 = - 24 , sum = - 10

Factors are - 12 and + 2

Use these factors to split the middle term

8t² - 12t + 2t - 3 = 0 ( factor the first/second and third/fourth terms )

4t(2t - 3) + 1(2t - 3) = 0 ← factor out (2t - 3)

(2t - 3)(4t + 1) = 0

Equate each factor to zero and solve for t

2t - 3 = 0 ⇒ 2t = 3 ⇒ t =

4t + 1 = 0 ⇒ 4t = - 1 ⇒ t = -

Intercepts are (- , 0) abd (, 0)

answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.