Answer:
x=9
Step-by-step explanation:
First, distribute the negative sign, changing (2x+9) to -2x-9
next, distribute. 10x+−2x+−9=(−3)(15)+(−3)(−4x)
then, combine like the like terms (10x+−2x)+(−9)=12x−45
then you get 8x+−9=12x−45, and you will subtract 12x from both sides, resulting in −4x−9=−45. To get -4x by itself, add 9 to both sides
lastly, divide both sides by -4
x=9
Answer:
Table A
Step-by-step explanation:
It grows at a steady rate by 1 for x, the other ones grow exponentially.
Answer:
the third one
Step-by-step explanation:
all you have to do is multiply the exponents
Answer:
0 (zero)
Step-by-step explanation:
600.000=600. If the number is under 5000, than the answer would round down to zero. \if the number is 5000 or more, than it rounds up to 10,000.
Answer:
Agnes is 23 and Valerie is 11 now.
Step-by-step explanation:
a - Agnes's age
v - Valerie's age
a - 5 - Agnes's age five years ago
v - 5 - Valerie's age five years ago
and:
a - 5 = 3(v - 5)
a + 1 - Agnes's age next year
v + 1 - Valerie's age next year
and:
a + 1 = 2(v + 1)
so we have equation system:
{a - 5 = 3(v - 5)
{a + 1 = 2(v + 1)
{a - 5 = 3v - 15
{a + 1 = 2v + 2
{a = 3v - 10
{3v - 10 + 1 = 2v + 2
{a = 3v - 10
{3v - 2v = 2 + 10 - 1
{a = 3v - 10
{v = 11
{a = 3 · 11 - 10
{v = 11
{a = 33 - 10
{v = 11
{a = 23
{v = 11
We can check it:
- 5 years ago:
Agnes: 23 - 5 = 18
Valerie: 11 - 5 = 6
18 ÷ 6 = 3, so Agnes was 3 times as old as Valerie
- next year:
Agnes: 23 + 1 = 24
Valerie: 11 + 1 = 12
24 ÷ 12 = 2, so Agnes will be twice as old as Valerie