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pav-90 [236]
3 years ago
6

Find the difference. (4x 2 - 6x + 8) - (3x 2 - 6x + 2)

Mathematics
1 answer:
Alenkasestr [34]3 years ago
4 0
(4x^2 - 6x + 8) - (3x^2 - 6x + 2)\\~\\=4x^2 - 6x + 8-3x^2 + 6x - 2\\~\\~=(4x^2-3x^2)+(- 6x+6x)+(8-2)\\~\\=x^2+0+6\\~\\=x^2+6


The idea is to combine like terms and simplify


I hope that helps!



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Which equation can be used to find the number of fish in the pond on June 1?
olga_2 [115]

Answer: The required equation is f-52=63 and the number of fishes in the pond on June 1 = 115


Step-by-step explanation:

Given: The number of fishes in pond on July 1 = 63

Also, it is said that the number of fishes in pond on July 1 is 52 fewer(lesser) than the number of fishes in pond on June 1.

Let f be the number of fishes in pounds on June 1.

then the required equation will be

f-52=63

Now, add 52 on both the sides  of the equation, we get

f=63+52\\\Rightarrow\ f=115


3 0
4 years ago
Test the claim that the mean GPA of night students is larger than 3.1 at the .10 significance level. The null and alternative hy
Alborosie

Answer:

H 0 : μ = 3.1    H 1 : μ > 3.1

And this test is defined a a right tailed test since the symbol for the alternative hypothesis H1 is >.

t = \frac{3.13-3.1}{\frac{0.03}{\sqrt{75}}}= 8.66

df = n-1=75-1 =74

The p value is:

p_v = P(t_{74} >8.66) =3.65x10^{-13}

The significance level is: 0.1 or 10%

And since the p value is very low compared to the significance level we have enough evidence to:

Reject the null hypothesis

Step-by-step explanation:

For this case we want to test the claim that mean GPA of night students is larger than 3.1 at the .10 significance level. The claim needs to be on the alternative hypothesis so then we have the following system of hypothesis:

H 0 : μ = 3.1    H 1 : μ > 3.1

And this test is defined a a right tailed test since the symbol for the alternative hypothesis H1 is >.

We have the following info given:

\bar X = 3.13 , s =0.03 , n =75

The statistic to check the hypothesis is given by:

t = \frac{\bar X -\mu}{\frac{s}{\sqrt{n}}}

Replacing the info given we got:

t = \frac{3.13-3.1}{\frac{0.03}{\sqrt{75}}}= 8.66

The degrees of freedom are given by:

df = n-1=75-1 =74

The p value since is a right tailed ted is given by:

p_v = P(t_{74} >8.66) =3.65x10^{-13}

The significance level is 0.1 or 10%

And since the p value is very low compared to the significance level we have enough evidence to:

Reject the null hypothesis

6 0
3 years ago
Part 2: Create a scenario for a geometric sequence. For example, Anthony goes to the gym for ______ minutes on Monday. Every day
Ugo [173]
An example scenario is:

Anthony goes to the gym for <em>20</em> minutes on Monday. Every day he <em>multiplies</em> his gym time by <em>2</em>. 

On the fifth day, he will spend spend 320 minutes in the gym. 

The formula used to determine the 5th term is,

                                       a5 = 20 x 2^(r -1) 

where r is the common ratio equal to 2. 


5 0
4 years ago
the lightest zoo resident is a leaf cutter ant at 5 micrograms. the heaviest is a giraffe weighing 1,000 kilograms. about how ma
Kay [80]
200 times. Because 1000 divided of 5 is 200. You could divide it using the algorithm.
8 0
3 years ago
Read 2 more answers
What is the slope of the line that passes through the points
Whitepunk [10]

Answer:

-5/2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-29-(-9))/(15-7)

m=(-29+9)/8

m=-20/8

simplify

m=-5/2

8 0
4 years ago
Read 2 more answers
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