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3 years ago

What is X in this equation? 3x+55=9x-5Please Explain.

Mathematics

2 answers:

Inessa [10]3 years ago

5 0

Answer:

x=10

Step-by-step explanation:

$\mathrm{Subtract\:}55\mathrm{\:from\:both\:sides}\\3x+55-55=9x-5-55$

$\mathrm{Simplify}\\3x=9x-60$

$\mathrm{Subtract\:}9x\mathrm{\:from\:both\:sides}\\3x-9x=9x-60-9x$

$\mathrm{Simplify\:}again\\-6x=-60$

$\mathrm{Divide\:both\:sides\:by\:}-6\\\frac{-6x}{-6}=\frac{-60}{-6}$

$\mathrm{\:Simplify\:one\:more\:time}\\x=10$

I hope this helps you out!

Have a wonderful afternoon!

klasskru [66]3 years ago

3 0

Answer:

x = 10

Step-by-step explanation:

3x + 55 = 9x - 5 (add 5 to both sides)

3x + 55 + 5 = 9x - 5 + 5

3x + 60 = 9x (subtract 3x from both sides)

60 = 9x - 3x

60 = 6x (rearrange)

6x = 60 (divide both sides by 6)

x = 60/6

x = 10

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Which equation represents an exponential function that passes through the point (2, 36)?

sesenic [268]

Answer:

The exponential function that passes through (2,36) is:

$f(x)=4\times 3^x$ .

Step-by-step explanation:

We are asked to find which function passes through the point (2,36).

i.e. we will put the input value '2' in the following given functions and check which gives the output value as '36'.

$f(x)=4\times 3^x$

now we put x=2.

$f(2)=4\times 3^2\\\\f(2)=4\times 9\\\\f(2)=36$

hence option 1 is correct.

$f(x)=4\times x^3$

Now we put x=2.

$f(2)=4\times 2^3\\\\f(2)=4\times 8\\\\f(2)=32$

Hence, option 2 is incorrect.

$f(x)=6\times 3^x$

Now we put x=2

$f(2)=6\times 3^2\\\\f(2)=6\times 9\\\\f(x)=54$

Hence, option 3 is incorrect.

$f(x)=6\times x^3$

Now we put x=2.

$f(2)=6\times 2^3\\\\f(2)=6\times 8\\\\f(2)=48$

Hence, option 4 is incorrect.

Hence, option 1) is correct.

i.e. The exponential function that passes through (2,36) is:

$f(x)=4\times 3^x$

6 0

3 years ago

Read 2 more answers

A teacher was interested in knowing the amount of physical activity that his students were engaged in daily. He randomly sampled

klasskru [66]

Answer:

The standard error of the mean is 4.5.

Step-by-step explanation:

As we don't know the standard deviation of the population, we can estimate the standard error of the mean from the standard deviation of the sample as:

$\sigma_{\bar{x}}\approx\frac{s}{\sqrt{n}}$

The sample is [30mins, 40 mins, 60 mins, 80 mins, 20 mins, 85 mins]. The size of the sample is n=6.

The mean of the sample is:

$\bar{x}=\frac{1}n} \sum x_i =\frac{30+40+60+80+20+85}{6}=52.5$

The standard deviation of the sample is calculated as:

$s=\sqrt{\frac{1}{n-1}\sum (x_i-\bar x)^2} \\\\ s=\sqrt{\frac{1}{5}\cdot ((30-52.5)^2+(40-52.5)^2+(60-52.5)^2+(80-52.5)^2+(20-52.5)^2+(85-52.5)^2}\\\\s=\sqrt{\frac{1}{5} *3587.5}=\sqrt{717.5}=26.8$

Then, we can calculate the standard error of the mean as:

$\sigma_{\bar{x}}\approx\frac{s}{\sqrt{n}}=\frac{26.8}{6}= 4.5$

6 0

3 years ago

Find the distance represented by 4.9 inches if 1 inch = 50 miles.

pishuonlain [190]

Answer:

245 miles

Step-by-step explanation:

To complete this, you want to use the unit conversion technique in fraction form. The units for the numerator of the first fraction (thing you want to convert) should match the units of the denominator in the multiplying fraction.

8 0

3 years ago

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N Example 3, the points are(0,3500) and (5,1750). Write an equation that represents the distance y (in feet) remaining after x m

Cerrena [4.2K]

Answer:

<h2>The time needed is 10 months.</h2>

Step-by-step explanation:

The given points are (0, 3500) and (5, 1750).

First, we use the formula below to find the slope of the line

$m=\frac{y_{2}-y_{1} }{x_{2} -x_{1} }=\frac{1750-3500}{5-0}=\frac{-1750}{5}=-350$

Which means the function is deacrasing with a ratio of 350 feet per month.

Now, we use the slope and one point to find the equation

$y-y_{1} =m(x-x_{1} )\\y-1750=-350(x-5)\\y=-350x+1750+1750\\y=-350x+3500$

This linear function shows that the situation started at the y-intecept (0, 3500), which means the month 0 had already 3500 feet. In other words, the total distance is 3500 feet. Now, the x-intercept will tell us the time needed to travel that distance.

$0=-350x+3500\\-3500=-350x\\x=\frac{-3500}{-350}\\ x=10$

Therefore, the time needed is 10 months.

3 0

3 years ago

I will mark you brainliest and give 50 points if u help and pls I want the answer to both a and b if u give random answers witho

shusha [124]

Answer:

5a. 4w+24≤100

5b. Dimensions=31ft x 19 ft

Area = 589ft²

Step-by-step explanation:

l=w+12

p=2l+2w

p=2(w+12)+2w

p=2w+24+2w

p=4w+24

The farmer has 100ft of fencing, so maximum that the perimeter (p) can be is 100, meaning (4w+24) has to be less than or equal to 100:

4w+24≤100

For the largest possible perimeter, all 100 of fencing will be used, so allow 100 to be equal to 4w+24)

100=4w+24

4w=76

w=19ft

l=w+12

l=19+12

l=31ft

The dimensions are 31ft x 19ft.

Area=lw

=31*19

=589ft²

4 0

3 years ago

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