Answer:
1/6
Step-by-step explanation:
6/6 is one whole, so subtract what she spent, which is 5/6. Leaving us with 1/6
Answer:
f(x) = (3x -2)(2x +1)
Step-by-step explanation:
The procedure for factoring expression of the form ...
ax² +bx +c
is to look for factors of a·c that have a sum of b.
The product a·c is 6·(-2) = -12. You are looking for factors that have a sum of b = -1. From your familiarity with multiplication tables, you know ...
-12 = 1(-12) = 2(-6) = 3(-4)
The sums of the factor pairs in this list are -11, -4, -1. So, the last pair of factors, {3, -4} is the one we're looking for.
__
At this point, there are several ways to proceed. Perhaps the simplest is to rewrite the linear term as the sum of terms involving these factors:
-x = 3x -4x
f(x) = 6x² +3x -4x -2
Now, the expression can be factored 2 terms at a time:
f(x) = (6x² +3x) -(4x +2) . . . . . pay attention to signs
f(x) = 3x(2x +1) -2(2x +1) . . . . factor each pair
f(x) = (3x -2)(2x +1) . . . . . . . . factor out the common factor of (2x+1)
Angie made an error because she used substitution incorrectly in step 3.
<h3>System of equation </h3>
7x + y =−12
7x + 4y = −6
subtract equation(i) from (ii) to eliminate x
Therefore,
3y = 6
y = 6 / 3
y = 2
Therefore,
7x + 2 = -12
subtract 2 from both sides of the equation
7x = -12 - 2
7x = - 14
x = - 14 / 7
x = -2
(-2, 2)
Therefore, Angie use substitution incorrectly in step 3.
learn more on system of equation here: brainly.com/question/1818941
Answer:
see explanation
Step-by-step explanation:
1
The area of a rectangle = length × width
2
To find the width, divide the area by the length
3
width = =
To simplify divide each term on the numerator by 3x
= + = x + 3 ← width