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Sav [38]
3 years ago
12

Solve for x.

Mathematics
1 answer:
Doss [256]3 years ago
5 0

Answer:

x= 16

Step-by-step explanation:

First, you want to distribute each side! (you're gonna wanna learn this because you will be having to do it for the next 3 years no joke it sucks)

7(x+2) can be distributed as 7x+14 after multiplying 7 times x and 7 times 2, and 6(x+5) can be distributed as 6x+30.

Now, you have to get the x on one side to solve for x (so like x=__).

To do this, look at the equation as of now. 7x+14=6x+30.

We can minus 14 and bring that to the right, and minus 6x and bring that to the left to separate the x's and the regular numbers.

Now we have  16=x (or x=16).

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The annual birth rate for a population of a given country is represented by the function y= 918397(0.9763)^t where “t” represent
viktelen [127]

Answer:

<em>The initial number of annual births in 2018 is 918,397</em>

<em>The percent decrease in birth rates is 2.37%</em>

<em>The expected number of births in 2021 is 834,379</em>

Step-by-step explanation:

<u>Exponential Decay Function</u>

The exponential function is frequently used to model natural decaying processes, where the change is proportional to the actual quantity.

An exponential decaying function is expressed as:

C(t)=C_o\cdot(1-r)^t

Where:

C(t) is the actual value of the function at time t

Co is the initial value of C at t=0

r is the decaying rate, expressed in decimal

We are given the function that models the annual birth rate for a population of a given country:

y= 918,397(0.9763)^t

Where t represents the number of years since 2018.

a.) We can identify the variables with the actual model by comparing with the general equation, thus: Co=918,397 and 1-r=0.9763.

Solving for r we have r=1-0.9763=0.0237.

This means the initial number of annual births in 2018 (t=0) is 918,397

b.) The percent decrease in birth rates is r=0.0237 = 2.37%

c.) To find the expected number of births in 2021 (t=4 years), we substitute the value of t in the equation of the model:

y= 918,397(0.9763)^4

Calculating:

y = 834,379

The expected number of births in 2021 is 834,379

5 0
3 years ago
I made 4 cakes using 4 cups of flour. How many cups of flour is using for<br> each cake?
maria [59]
Since it’s 4 cupcakes and 4 flours it’s 1 cup of flour per cupcake
7 0
3 years ago
What is the slope?
Sedaia [141]

Answer:

Your answer is A 1/2

Step-by-step explanation:

if we know that y=mx+b and that m is the slope and also that m = rise over run then we see that the rise of this line is 1 and that the run  2.

3 0
3 years ago
Which expression is equivalent to −2+4(3x−1) ?<br>A.6x    B.12x−3 C.14x   D.−6+12x
34kurt
The answer is -6+12. 

-2+4(3x-1)
=-2+4(2x)
=-2+8
=6

-6+12 = 6

Hope this helps!
4 0
3 years ago
Which expense will be the same month after month?
IRINA_888 [86]

Answer:

rent payment

Step-by-step explanation:

rent payment will always be the same because it is something that will stay the same.

groceries are different every month.

gas changes due to prices and places you go.

home repairs arent an every month cost.

4 0
3 years ago
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