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Liula [17]
3 years ago
5

Expand and simplify (x+5)(x-2)

Mathematics
2 answers:
neonofarm [45]3 years ago
6 0

Answer:

{x}^{2}  + 3x  - 10

Step-by-step explanation:

(x + 5)(x - 2)

utilise the Foil method to expand brackets:

F - mulply the first terms (x and x)

O - multiply the outside terms ( x and -2)

I - multiply the inside terms (5 and x)

L - multiply the last terms (5 and -2)

Then add them as following:

{x}^{2}   - 2x + 5x - 10

Then combine like terms:

{x}^{2}  + 3x - 10

spin [16.1K]3 years ago
5 0

Answer:

x^2 + 3x + 10.

Step-by-step explanation:

(x+5)(x-2)

= x(x - 2) + 5(x - 2)

= x^2 - 2x + 5x - 10

= x^2 + 3x + 10.

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Find the difference of (t-8)-(t-15)
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A study of pollutants showed that certain industrial emissions should not exceed 2.3 parts per million. You believe a particular
Musya8 [376]

Answer:

t=\frac{3.3-2.3}{\frac{0.4}{\sqrt{9}}}=7.5    

The degrees of freedom are given by:

df=n-1=9-1=8  

And the p value would be:

p_v =P(t_{(8)}>7.5)=0.0000346  

Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly higher than 2.3 ppm the safe limit

Step-by-step explanation:

Information provided

\bar X=3.3 represent the sample mean in ppm

s=0.4 represent the sample standard deviation

n=9 sample size  

\mu_o =2.3 represent the value to verify

\alpha=0.05 represent the significance level

t would represent the statistic  

p_v represent the p value

System of hypothesis

We want to verify if the true mean is higher than 2,3 ppm, the system of hypothesis would be:  

Null hypothesis:\mu \leq 2.3  

Alternative hypothesis:\mu > 2.3  

The statistic for this case is given by:

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

Replacing the info given we got:

t=\frac{3.3-2.3}{\frac{0.4}{\sqrt{9}}}=7.5    

The degrees of freedom are given by:

df=n-1=9-1=8  

And the p value would be:

p_v =P(t_{(8)}>7.5)=0.0000346  

Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly higher than 2.3 ppm the safe limit

6 0
3 years ago
Round to the nearest tenth 19.95
Tom [10]

Answer:

20

Step-by-step explanation:

u have to look at the 9 after the decimal and if it is 5 or above then it goes up

8 0
3 years ago
Read 2 more answers
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