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3 years ago

Which ordered pair is a solution of the equation? -2 - 4y = -10

Mathematics

1 answer:

Vadim26 [7]3 years ago

8 0

Answer:

the linear equation is y=2 so anything that lands on that line after it is graphed, so the option (3,2)

Step-by-step explanation:

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The population, P(t), of China, in billions, can be approximated by1 P(t)=1.394(1.006)t, where t is the number of years since th

vitfil [10]

Answer:

At the start of 2014, the population was growing at 8.34 million people per year.

At the start of 2015, the population was growing at 8.39 million people per year.

Step-by-step explanation:

To find how fast was the population growing at the start of 2014 and at the start of 2015 we need to take the derivative of the function with respect to t.

The derivative shows by how much the function (the population, in this case) is changing when the variable you're deriving with respect to (time) increases one unit (one year).

We know that the population, P(t), of China, in billions, can be approximated by $P(t)=1.394(1.006)^t$

To find the derivative you need to:

$\frac{d}{dt}\left(1.394\cdot \:1.006^t\right)=\\\\\mathrm{Take\:the\:constant\:out}:\quad \left(a\cdot f\right)'=a\cdot f\:'\\\\1.394\frac{d}{dt}\left(1.006^t\right)\\\\\mathrm{Apply\:the\:derivative\:exponent\:rule}:\quad \frac{d}{dx}\left(a^x\right)=a^x\ln \left(a\right)\\\\1.394\cdot \:1.006^t\ln \left(1.006\right)\\\\\frac{d}{dt}\left(1.394\cdot \:1.006^t\right)=(1.394\cdot \ln \left(1.006\right))\cdot 1.006^t$

To find the population growing at the start of 2014 we say t = 0

$P(t)' = (1.394\cdot \ln \left(1.006\right))\cdot 1.006^t\\P(0)' = (1.394\cdot \ln \left(1.006\right))\cdot 1.006^0\\P(0)' = 0.00833901 \:Billion/year$

To find the population growing at the start of 2015 we say t = 1

$P(t)' = (1.394\cdot \ln \left(1.006\right))\cdot 1.006^t\\P(1)' = (1.394\cdot \ln \left(1.006\right))\cdot 1.006^1\\P(1)' = 0.00838904 \:Billion/year$

To convert billion to million you multiple by 1000

$P(0)' = 0.00833901 \:Billion/year \cdot 1000 = 8.34 \:Million/year \\P(1)' = 0.00838904 \:Billion/year \cdot 1000 = 8.39 \:Million/year$

6 0

3 years ago

What is 1.939 x 10^5 in standard form?<br>

VARVARA [1.3K]

Answer:

193900

Step-by-step explanation:

thx for points

8 0

3 years ago

I neeeed help realy bad

77julia77 [94]

Answer: -3x + 4, (2,-2)

Step-by-step explanation:

First, you want to get y alone on one side.

3x + y = 4

-4 -4 subtract 4 to get it on the left side.

-y -y subtract y to get it alone on the right side.

Your'e left with 3x - 4 = -y divide the whole equation by -1 do get a pos y

You then have y = -3x + 4. That's the first part of your answer.

To get the second part plug in (-3x + 4) into the y of the first equation, this is the substitution part.

-2x + 5(-3x+4) =-14 distribute the 5... -2x - 15x +20 = -14

add your like terms ( x and x) -17x + 20 = -14

Isolate your x by subtracting the 20, both sides -20 -20

-17x = -34 divide both side by 17 you get x = 2 (---- this is your first coordinate in the pair in your answer. To get the y do the same but solve for y instead of x.

3 0

3 years ago

. Identify this sequence: 12, 19, 26, 33, 40, 47. The next term is ______.

CaHeK987 [17]

Answer:

The next term is 54.

Step-by-step explanation:

Look carefully, and you will find that each number increases by 7.

12 + 7 = 19.

19 + 7 = 26.

26 + 7 = 33...

...and so on.

Therefore, the next term is 54 since 47 + 7 = 54.

Hope this helped!

5 0

3 years ago

Read 2 more answers

Which equation represents a line which is parallel to the line y = -7x - 8?

Kamila [148]

Answer:

7x+y=-3

Step-by-step explanation:

if m is the slope of a line, then the slope of its parallel line will have the same slope m,

in the given equation, y=-7x-8, the slope is -7

among the options, 1st option has a slope of -7, since,

7x+y=-3

or, y=-7x-3

Answered by GAUTHMATH

7 0

2 years ago