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Debora [2.8K]
3 years ago
5

Hiii please help i’ll give brainliest if you give a correct please please thank youuuuu

Mathematics
1 answer:
saw5 [17]3 years ago
5 0
.5. just keep going with the way the table is going and you will eventually get the answer you are trying to find. there’s a relationship between x and y
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Given that h(x) = 3x −19, find the value of x that makes h(x) = 71.
rosijanka [135]

Keywords:

<em>Equation, variable, value, clear </em>

For this case we have an equation with a variable of the form y = h (x). Where h (x) = 3x-19. Given the value ofh (x) = 71, we want to find the value of the variable "x". So, we have:

h (x) = 3x-19\\71 = 3x-19

We must clear "x", for this, we add "19" to both sides of the equation:

71 + 19 = 3x-19 + 19\\90 = 3x

We divide between "3" on both sides of the equation:

\frac {90} {3} = \frac {3x} {3}\\30 = x

Thus, the value of the variable "x" is 30.

Answer:

x = 30

Option A

6 0
3 years ago
Read 2 more answers
The following table shows the estimated populations and annual growth rates for four countries in the year 2000. Find the expect
Liula [17]

Answer:

After 25 years the population will be:

  • Australia: 22271200
  • China: 1580220878
  • Mexico: 157380127
  • Zaire: 112794819

Step-by-step explanation:

Growth rate problem that has a growth rate proportional to the population size can be solved using the equation:

 P(t) = P₀eʳᵗ

  • t is your unit of time. It could be days, or hours, or minutes. It changes depending on each problem. In this problem, t is measured in years because you're jumping from 2000 to 2025. Years just makes the most sense to measure that leap in time.
  • P(t) is the population at time t. An example in this problem could be P(20) would be the population 20 years after the initial count. or maybe P(12) would be the population 12 years after the initial count. or P(0) would be the initial count of the population.
  • P₀ is the initial population at P(0)
  • r is the growth rate.<u><em> Don't forget to convert the percentage to its decimal form</em></u>

Now that everything is set out, lets use the equation to solve for our answer.

P(t) = P₀eʳᵗ

<u>Australia:</u>

P(t)=(19169000)e^{(0.006)t}

after 25 years

P(25)=(19169000)e^{(0.006)(25)}=22271200.6

<u>China:</u>

P(t) = (1261832000)e^{(.009)t}

after 25 years:

P(25)=(1261832000)e^{(.009)(25)}=1580220878

<u>Mexico:</u>

P(t) = (100350000)e^{(0.018)t}

after 25 years:

P(25)=(100350000)e^{(0.018)(25)}=157380127.8

<u>Zaire:</u>

P(t) = (51965000)e^{(0.031)t}

after 25 years:

P(25)=(51965000)e^{(0.031)(25)}=112794819.9

6 0
3 years ago
In a week, 15 hens laid 75 eggs. what is the unit rate for eggs per hen?
yarga [219]
75 divided by 15 is 5. 5 eggs per hen
8 0
3 years ago
How many times 9 go into 20
Genrish500 [490]
20:9=\dfrac{20}{9}=\dfrac{18+2}{9}=\dfrac{18}{9}+\dfrac{2}{9}=2\dfrac{2}{9}

Answer: 2 times.
8 0
3 years ago
Pls help i am on a timer
stich3 [128]

Answer:

x = 1 + \sqrt{2} \ \ or \ 1- \sqrt{2}

Step-by-step explanation:

Given;

x² - 2x - 1 = 0

Solve by completing the square method;

⇒ take the constant to the right hand side of the equation.

x² - 2x = 1

⇒ take half of coefficient of x = ¹/₂ x -2 = -1

⇒ square half of coefficient of x and add it to the both sides of the equation

x^2 +  (-1)^2 = 1 + (-1)^2

(x-1)^2 = 1 + 1\\\\(x-1)^2 = 2\\\\

⇒ take the square root of both sides;

x-1 = +/- \ \ \sqrt{2} \\\\x = 1 + \sqrt{2} \ \ or \ 1- \sqrt{2}

Therefore, option B is the right solution.

3 0
2 years ago
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