Answer:
C. x > 3
Step-by-step explanation:
As long as you don't multiply or divide by any negative numbers*, <em>you can solve this the same way you would an equation</em>.
3x +2 > x +8
3x > x +6 . . . . . . subtract 2
2x > 6 . . . . . . . . subtract x
x > 3 . . . . . . . . . .divide by 2; matches choice C
_____
* The complete rule is "as long as you don't use any order-changing operations, ...". There are some functions you can apply to both sides of the inequality that will change the ordering. Multiplication or division by a negative number is only one of many.
1 < 2
-1 > -2 . . . . . multiplication by -1 reverses the order
Answer:
2.4 SAUSAGES
Step-by-step explanation:
18 x 2 = 36
36/ 15 = 2.4
Answer:
<u>The answer is option C. 6a-7</u>
Step-by-step explanation:
Given that
5(3a-1)-2(3a-2)=3(a+2)+v
Solve for v
∴ v = 5(3a-1)-2(3a-2) - 3(a+2)
∴ v = 15a - 5 - 6a + 4 - 3a - 6
∴ v = 15a - 6a - 3a - 5 + 4 - 6
∴ v = 6a - 7
<u>So the answer is option C. 6a-7</u>
<span>The number of x-intercepts that appear on the graph of the function
</span>f(x)=(x-6)^2(x+2)^2 is two (2): x=6 (multiplicity 2) and x=-2 (multiplicity 2)
Solution
x-intercepts:
f(x)=0→(x-6)^2 (x+2)^2 =0
Using that: If a . b =0→a=0 or b=0; with a=(x-6)^2 and b=(x+2)^2
(x-6)^2=0
Solving for x. Square root both sides of the equation:
sqrt[ (x-6)^2] = sqrt(0)→x-6=0
Adding 6 both sides of the equation:
x-6+6=0+6→x=6 Multiplicity 2
(x+2)^2=0
Solving for x. Square root both sides of the equation:
sqrt[ (x+2)^2] = sqrt(0)→x+2=0
Subtracting 2 both sides of the equation:
x+2-2=0-2→x=-2 Multiplicity 2
Answer:
16 people
Step-by-step explanation:
Given that :
Number of people to tour = 80
Number per group = 16
Number of groups = 4
Total number of people who make up the entire groups :
Number per group * number of groups
16 * 4 = 64
The number of people in the last tour group :
80 - 64
= 16 people
