Answer:
You need to divide them all separately and then add the answers together to get the correct answer
15% is 10% + 5% (or 0.15 = 0.1 + 0.05, dividing each percent by 100). Thinking about it this way is useful for two reasons. First, it's easy to multiply any number by 0.1; just move the decimal point left one digit.
Ok so if a system has no solutions, that means that no value will make it true
infinite solutions means that all numbers wil make the system true
example of no solution
a simplification that gives you
3=0
that is false so no solution
example of infinite
if after simplify you get
x=x
you can put all numer for x and get right answer
the simplified form of an equation with no solution will be in the form a=b where a is not equal to b, basically it gives you an obviously false statement like 3=4
simplified form on an equation with infinity solutions would end up with variable=variable or x=x or y=y
Answer:
-12
Step-by-step explanation:
h(x) = ½x - 14 where x = 4:
h(4) = ½(4) - 14
= 2 - 14
= -12
Answer:
x = 90°
Step-by-step explanation:
Using the identity
cos²x = 1 - sin²x
Given
cos²x - sin x + 1 = 0
1 - sin²x - sin x + 1 = 0
- sin²x - sin x + 2 = 0 ← quadratic equation in sin x ( multiply through by - 1 )
sin²x + sin x - 2 = 0 ← in standard form
(sinx + 2)(sinx - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
sinx + 2 = 0 ⇒ sinx = - 2 ← has no solution as - 1 ≤ x ≤ 1
sinx - 1 = 0 ⇒ sinx = 1 ⇒ x = 90°
solution is x = 90°
