93.9 or 17702.3 I think it’s the long 1 tho
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.
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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)
Answer:
6(11+4+13) is the correct answer hope this helps
Step-by-step explanation:
Answer:
20 kilograms of dough
Step-by-step explanation:
Given that;
12 kilograms working 6 hours
Rate = 12/6 kilogram per hour = 2 kilogram per hour
So,
In 10 hours he would produce;
Amount of dough = Time × rate
Time = 10 hours
= 10 hours × 2 kilograms per hour
= 20 kilograms of dough
Answer:
Step-by-step explanation:
In a quadratic equation, a rule known as Vieta's Theorem tells us that roots 1 and 2 (we'll call them x1 and x2) added up is equal to -b/a, and x1 multiplied by x2 is equal to c/a. because x1-x2 is 6, and x1+x2=-b/a, which is -(-14), or 14, we can use the substitution method to find out the roots of the equation, being 4 and 10. When putting these roots into the equation, we get that 4^2-14(4)+q=0, and 10^2-14(10)+q=0. We can simplify these equations to make -40+q=0, and adding 40 on both sides gets us that q=40.
<u>To recap:</u>
Vieta's Formula:
use substitution to find the roots
enter the roots into the quadratic equation
solve the equation!
Answer: q = 40