Answer:
2
Step-by-step explanation:
5x - 10 = 0
+10 +10
5x = 10
/5 /5
x = 2
72 / 3 = 24
<span>Three consecutive integers are 23. 24 and 25
double check
23+24+25 = 72</span>
Answer:
arithmetic sequence
Step-by-step explanation:
Arithmetic sequences include adding or subtracting. It becomes a geometric sequence when you start multiplying and dividing.
Answer:
- x² +3x -8x -24
- (x² +3x) +(-8x -24)
- x(x +3) -8(x +3)
- (x +3)(x -8)
Step-by-step explanation:
This is trying to help you understand a method of factoring trinomials.
The first step is to look at the linear term (-5x) and the constant term (-24) and identify the coefficients and their signs: -5 and -24.
The next step is to identify factors of -24 (the constant) that have a sum equal to -5 (the linear term coefficient). We can look at the ways that -24 can be factored:
-24 = 1(-24) = 2(-12) = 3(-8) = 4(-6)
The sums of these factor pairs are 1-24=-23, 2-12=-10, 3-8=-5, 4-6=-2. Of course, the pair we're looking for is +3 and -8.
The next step from here is to rewrite the linear term using these factors. (-5x=3x-8x) This is the first step of the sequence shown in the figure:
x² +3x -8x -24
The next step is to group these terms in pairs:
(x² +3x) +(-8x -24)
And then, to factor each pair using the distributive property:
x(x +3) -8(x +3)
Finally, finish the factoring, again using the distributive property:
(x +3)(x -8)
Answer:
a. 4 teachers b. 58 students c. 62 people
Step-by-step explanation:
multiply 80 by 0.05, you get 4.
Multiply 1160 by 0.05, you get 58.
Add 80 and 1160 together, you get 1240. Multiply 1240 by 0.05, you get 62.