Answer:
x = - 3, x = - 2
Step-by-step explanation:
Given
x² + 5x + 6 = 0
Consider the factors of the constant term (+ 6) which sum to give the coefficient of the x- term (+ 5)
The factors are + 3 and + 2, since
3 × 2 = + 6 and 3 + 2 = + 5, thus
(x + 3)(x + 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
x + 2 = 0 ⇒ x = - 2
The answer is c because if head appears and the spinner is spun with 1 - 4 on it then you can get either h1, h2, h3 or h4 and if tales appears and another coin is tossed you can get either th or tt
Answer:
Both versions of the expression equal the exact same amount;one is just much shorter.Simplifying algebraic expressions is the same idea,except you have variables in your expression.So,Basically you're turning a long expression into something you can easily make sense of
Answer:
b) 1 / 4
c) -3
Step-by-step explanation:
b) line passing through points (0,-1) (4,0)
slope = (y2 - y1) / (x2 - x1)
= (0 - (-1) ) / (4 - 0)
= 1 / 4
c) line passing through points (-1,2) (0, -1)
slope = (y2 - y1) / (x2 - x1)
= (-1 - 2) / (0 - (-1) )
= -3 / 1
= -3
We want the ratio of calories of an orange to a cookie and are told that an orange has 35 calories and a cookie has 130 so:
O:C=35:130
The greatest common factor of 35 and 130 is the product of the shared primes of the numbers prime factorization.
35=5*7 and 130=2*5*13, so the GCF is just 5, so divide each term by 5
O:C=7:26
