Answer:
-13
Step-by-step explanation:
2x²+26x+156=0
x²+13x+78=0
x²+13x=-78
x²+13x+169/4=-143/4
(x+13/2)²=-143/4
x+13/2=(i√143)/2 or x+13/2=-(i√143)/2
x=(i√143)/2-13/2 or x=-(i√143)/2-13/2
(i√143)/2-13/2+(-(i√143)/2)-13/2=(i√143-13-i√143-13)/2=-26/2=-13
Answer:
1. 2(k + 3)
2. 3. 75 + k
Step-by-step explanation:
1. 2x + 6
Since, 2 is a common factor of 2 and 6, we can take that common outside.
So, 2x + 6 = 2(x + 3)
Note that in the initial expression, this 2 was distributed to arrive at 2x + 6.
2. (1.5 + k) + 2.25
This is simple addition. We can simply remove the brackets to have:
1.5 + k + 2.25
Since, the like terms can be added, we will have:
1.5 + 2. 25 + k
= 3. 75 + k
<u><em>PART A</em></u>
If 4 pounds = 10 dollars...
4/2 = 2
10/2 = 5
<u>So for 2 pounds, it would cost </u><u>$5.00</u>
Now for the 1 pound one
4/1 = 4
10/4 = 2.5
<u>For the 1 pound one, it would cost </u><u>$2.50</u>
<u></u>
<u><em>PART B</em></u>
We know that 4 pounds = 10 bucks
Since 1 is 1/10 of 10 (in the cost section), we have to apply this to the pounds section. 4/10 = 0.4. Therefore, <u>$1 = 0.4lb</u>
Now for the last blank...
Since $1 = 0.4, we multiply that by 9. 0.4 x <u>$9 = 3.6lb</u>
<u></u>
<em>HOPE THIS HELPED</em>
Answer:
in 220 miles both plans will cost the same
Step-by-step explanation:
38 + .12m = 49 + .07m
38 + .05m = 49
.05m = 11
m = 11/.05
Answer:
9.57 inch
Step-by-step explanation:
(4/3)×pi×8³ = 14×16×h
h = (4/3)×pi×8³ ÷ (14×16)
h = 64pi/21 inch
Or, 9.57 inch (3 sf)
