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3 years ago

(2x-20) + 86 what is the the value of x

Mathematics

1 answer:

julsineya [31]3 years ago

6 0

When (2x-20)＋86＝0
2x-20＝-86
2x＝-46
x＝-23

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In 2003 a town’s population was 1431. By 2007 the population had grown to 2134. Assume the population is changing linearly.How m

sergiy2304 [10]

We will have the following:

First, we will have that the population change by:

$\Delta P=2134-1431\Rightarrow\Delta P=703$

So, the population changed by 703 people.

It took the follwoing number of years to change from 1431 to 2134:

$\Delta y=2007-2003\Rightarrow\Delta y=4$

So, it took 4 years to changes from 1431 to 2134.

$m=\frac{2134-1431}{2007-2003}\Rightarrow m=175.75$

The average population growth per year is of 175.75 people per year.

The population in 2000 would have been:

$P_{2000}=\frac{2000\cdot1431}{2003}\Rightarrow P_{2000}=1428.856715\ldots$

$\Rightarrow P_{2000}\approx1429$

So, the population in 2000 would have been approximately 1429 people.

We will have that the equation for the population would be:

$P=(\frac{2134-1431}{2007-2003})t+1429\Rightarrow P=\frac{703}{4}t+1429$

So, the equation would be:

$P=175.75t+1429$

Now, we predict the number of people of the town in 2014:

$P_{2014}=175.75(14)+1429\Rightarrow P_{2014}=3889.5$

$\Rightarrow P_{2014}\approx3890$

So, there will be approximately 3890 people of the town in 2014.

3 0

1 year ago

A parabola has a line of symmetry x = -5. The minimum value of the quadratic function that it represents is -7. Find a possible

Ilya [14]

hello :
the parabola's equation is : f(x) = a(x-h)²+k
the verex is (h,k)
line of symmetry x = h
The minimum or maximum value is : k
a possible equation of this parabola is : f(x) = a(x+5)²-7

6 0

2 years ago

Select all of the potential solution(s) of the equation 2log5x = log54.

Vanyuwa [196]

Answer:

x = ±2

Step-by-step explanation:

A equation is given to us , which is ,

$\longrightarrow 2log_5(x) = log_5 4$

From properties of logarithm we know that ,

$\longrightarrow alog\ m = log \ m^a$

Applying this to LHS , we have ;

$\longrightarrow log_5 x^2 = log_5 4$

Now the bases of logarithm on LHS and RHS is same . On comparing , we have ;

$\longrightarrow x^2 = 4$

Put square root on both sides,

$\longrightarrow x =\sqrt{4}$

Simplify ,

$\longrightarrow \underline{\underline{ x =\pm 2 }}$

This is the required answer.

6 0

2 years ago

The amount of time it takes an ice cube to melt varies inversely to the air temperature. At 30 degrees Celsius, the ice will mel

Anon25 [30]

Answer:

hope this helps A block of ice melts in 2.5 hours when the temperature is 54 degrees.

Step-by-step explanation:therefore you can increase 2.5 and decrease 54 to whatever number you need

4 0

2 years ago

A 12 ounce soda costs $1.25 in the vending machine. At this rate, how much would a 32 ounce soda cost

pochemuha

Answer:

3.75

Step-by-step explanation:

1.25 times 3

5 0

3 years ago

Read 2 more answers