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Ilia_Sergeevich [38]
3 years ago
9

3x-6<12 step by step equation

Mathematics
1 answer:
Mandarinka [93]3 years ago
8 0

Answer:

x < 6

Step-by-step explanation:

Given

3x - 6 < 12 ( add 6 to both sides )

3x < 18 ( divide both sides by 3 )

x < 6

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Lytrisha claims that y= 2x2 + 3 is a function but not a linear function select the statement that supports lytrishas claim
Gnom [1K]

Answer:

B

Step-by-step explanation:

A is wrong, it increases

C is wrong, the coefficient does not determine if it is linear (straight), the exponent does.

D is wrong, you don't need to know a point to determine if it is linear, (if you have 3 points you can though. )

8 0
3 years ago
A population of insects increases at a rate of 1.5% per day. About how long will it take the population to double?
never [62]

The <em><u>correct answer</u></em> is:

46.6 days

Explanation:

The general form for exponential growth is

A=p(1+r)^t, where A is the total amount, p is the initial amount, r is the percent of growth, and t is the amount of time (in this case, days).

We do not know the initial amount, the total amount, or the amount of time.  We do know that r, the percent of growth, is 1.5%; 1.5% = 1.5/100 = 0.015:

A=p(1+0.015)^t

We also know we want the total amount, A, to be twice that of the initial amount, p:

2p = p(1+0.015)^t&#10;\\&#10;2p=p(1.015)^t

Divide both sides by p:

\frac{2p}{p}=\frac{p(1.015)^t}{p}&#10;\\&#10;\\ 2=1.015^t

Using logarithms to solve this,

\log_{1.015}(2)=t&#10;\\&#10;\\46.6=t

8 0
3 years ago
Read 2 more answers
one light flashes every 2 minutes and another flashes every 7 minutes. If both lights flash together at 1pm, what is the first t
vovangra [49]
Light A flashes every 2 minutes while light B flashes every 7. The goal is to figure out when both lights flash at the same time and then figure out the other part later. You have to find the common multiples of 7 and 2. Meaning that you have to find out which number can they both be multiplied into. In this case, it is 14 because 7 can be multiplied by 2 to get 14 and 2 can be multiplied by 7. So if every 14 minutes they flash together at the same time, now you need to find out what time AFTER 3 will they both flash. You know that they both flashed at 1:00 so they will flash again at 1:14 and 1:28 and so on, but you need to find out when is the soonest they will flash after 3. 2 hours after the 1:00 flash will be 3:00 so that is 120 minutes. 120 minutes divided by 14 minutes comes to 8.5 but you dont need the decimal. Just simply multiply 14 by 8 and that comes to 112 minutes and if you add that to 1:00 you get 2:52. so they flashed at 2:52 so the next time they flash will be 14 minutes after 2:52. Sorry for the super long answer
6 0
3 years ago
Four friends went to the movies together. Each ticket cost $8, and then each person also bought a soda for $3.75. Two friends ea
photoshop1234 [79]

Answer:

$37.00

Step-by-step explanation:

Tickets:

4 friends, each ticket costs $8

4*8=32

$32

Sodas:

4 friends, each soda costs $3.75

4*3.75=15

$15

Total:

tickets + sodas

32+15=47

$47

Coupons:

2 friends each had a coupon for $5 off

2*5=10

$10 discount

Grand Total:

total-discount

47-10=37

$37.00

7 0
3 years ago
A moving company drove one of its trucks 100,042 miles one year. A second truck was
hram777 [196]

319049

as 100,042 + 98,117 + 120,890 = 319,049

7 0
3 years ago
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