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Eddi Din [679]
3 years ago
11

The function

x)=3x^3+x^2+2x" align="absmiddle" class="latex-formula"> rises as x grows very large.

A. True
B. False
Mathematics
1 answer:
olchik [2.2K]3 years ago
7 0

Answer:

A. True

Step-by-step explanation:

The given function is;

f(x)=3x^3+x^2+2x

The leading coefficient of this polynomial function is positive.

The degree of the polynomial is odd.

This implies that, the function will rise on the left and keep rising on the right.

Hence, the end behavior of the function tells  us that, the function rises as x-values grow very large.

The correct option is True

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√25x+75 +3√x-2 =2+4√x-3 +√9x-18
Otrada [13]

Answer:

Step-by-step explanation:

\large  \boldsymbol{ \boxed{\sqrt{a}\cdot \sqrt{b}=\sqrt{a\cdot b}   }} \\\\\\ \sqrt{25x+75} +3\sqrt{x-2} =2+4\sqrt{x-3} +\sqrt{9x-18} \\\\ \sqrt{25} \cdot \sqrt{x+3}+3\sqrt{x-2}  =2+4\sqrt{x-3} +\sqrt{9}\cdot \sqrt{x-2}  \\\\5\sqrt{x+3} +3\sqrt{x-2} \!\!\!\!\!\!\!\!\!\!\bigg{/}  \ \ =2 +4\sqrt{x-3} +3\sqrt{x-2} \!\!\!\!\!\!\!\!\!\!\bigg{/} \\\\(5\sqrt{x+3})^2 =(2+4\sqrt{x-3} )^2 \\\\  \ \ \  let  \ \ t=x+3  \ \ ; \ \  \  t-6=x-3 \\\\ \big(5\sqrt{t} \ \big)^2=(2+\sqrt{t-6} )^2 \\\\                                 \large \boldsymbol{}    25t=4+16\sqrt{t-6} +16(t-6) \\\\(9t+92)^2=(16\sqrt{t-6} )^2 \\\\81t^2+1656t+8464=256(t-6)\\\\81t^2+1400t+10000=0 \\\\ D=1400^2-324000=-128000=> \\\\D

6 0
3 years ago
What effect does increasing the sample size have on a distribution of sample means?
Anika [276]

If the number of samples is increased, this actually leads to a reduction in error of the distribution. This is because of the relationship between variation and sample size which has the formula of:

σx = σ / sqrt (n)

So from the formula we can actually see that the variation and sample size is inversely proportional.

Which means that increasing the sample size results in a reduction of variation.

 

Answer:

It will have less variation

6 0
3 years ago
Question 1-3........
Xelga [282]

1. Answer:

C. 1050

Step-by-step explanation:

To find the area of a rectangle, it is length * width * height

25 * 7 = 175

175 * 6 = 1050

2. Answer:

C. 8

Step-by-step explanation:

To find the missing dimension of a rectangle, you can easily just divide the total by each dimension

540 divided by 7.5 = 72

72 divided by 9 = 8

3. Answer:

D. 31,400

(31,415.9)

Step-by-step explanation:

The radius of the cylinder is 20

The height of the cylinder 25

πr2h is the formula used to find the volume of a cylinder

3 0
3 years ago
What is the rate of change for Y=29/5x
notsponge [240]
Use the app math lens if you have a picture
7 0
3 years ago
A car travels 200 miles in the same time that a train travels 300 miles. The speed of the train is 20 miles per hour more than t
scZoUnD [109]
The equation is 
time= distance/rate
and the train is going 300 miles 
the car is going 200 miles
the train goes 20 miles faster than the car
fitting the numbers into the equation 
200/r=300/(r+20)
cross multiply 
200/r = 300/(r+20)
200(r+20) = 300r 
distributive property 
4000+200r=300r
subtract 200r from both sides to add like terms 
4000=100r 
divide 100 from each side to get r by itself
40 = rate of car
60 = rate of train
6 0
4 years ago
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