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sleet_krkn [62]
3 years ago
7

What is the difference of the polynomials?

Mathematics
2 answers:
Over [174]3 years ago
6 0

Answer:

O 7x2 + 3y2 - 4x

.........

Olegator [25]3 years ago
5 0

\qquad \qquad\huge \underline{\boxed{\sf ᴀɴsweʀ}}

The Correct choice is ~ A

\qquad \sf  \dashrightarrow \: 7 {x}^{2}  + 3 {y}^{2}  - 4x

\large \boxed{ \mathrm{Step\:\: By\:\:Step\:\:Explanation}}

\sf  \dashrightarrow \:(12 {x}^{2}  - 11y { }^{2}  - 13x) - (5 {x}^{2}  - 14y { }^{2}  - 9x)

\sf  \dashrightarrow \:12 {x}^{2}  - 11y { }^{2}  - 13x- 5 {x}^{2}   +  14y { }^{2}   +  9x

\sf  \dashrightarrow \: 12 {x}^{2}  - 5 {x}^{2}  - 11y { }^{2}  + 14 {y}^{2} - 13x + 9

\sf  \dashrightarrow \: 7 {x}^{2}  + 3 {y}^{2}  - 4x

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Sam takes part in a car race that has 20 laps. He completes 4 laps every 3 minutes. The number of laps Sam has left to drive aft
Nadya [2.5K]
If we rewrite this equation, it would look like this: y=- \frac{4}{3}x+20, which is the equation for a straight line with a slope of -4/3 and a y-intercept of 20.  The y-intercept exists when x = 0.  "x" represents the number of minutes he drives, "y" represents the number of laps he drives.  Slope is rise/run, or y/x, which gives us that he drives 4 laps in 3 minutes (the slope of our line).  The y-intercept, when x = 0, tells us that when he has driven 0 minutes, or hasn't driven at all yet, he still has 20 laps to go.  When y = 0, the x-intercept is  0=- \frac{4}{3}x+20, and -20=- \frac{4}{3} x.  Multiply both sides by 3 to get that -60 = -4x and that means that x is 15.  This means that from start to finish, it takes him 15 minutes to drive the 20 laps. 
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3 years ago
Each small square on the grid is 1 ft².
Butoxors [25]
What was the answer?
6 0
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Answer:

4

Step-by-step explanation:

count with your fingers

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Emissions of sulfur dioxide by industry sett off chemical changes in the atmosphere that result in "acid rain". The acidity of l
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Answer:

Case n =5

z=\frac{4.8-5}{\frac{0.5}{\sqrt{5}}}=-0.894  

Case n =15

z=\frac{4.8-5}{\frac{0.5}{\sqrt{15}}}=-1.549  

Case n = 40

z=\frac{4.8-5}{\frac{0.5}{\sqrt{40}}}=-2.530  

P value

Case n =5

p_v =P(z  

Case n =15

p_v =P(z  

Case n =40

p_v =P(z  

Step-by-step explanation:

Data given and notation  

\bar X=4.8 represent the sample mean

\sigma=0.5 represent the population standard deviation

n sample size  

\mu_o =5 represent the value that we want to test  

\alpha represent the significance level for the hypothesis test.  

z would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean is lower than 5, the system of hypothesis would be:  

Null hypothesis:\mu \geq 5  

Alternative hypothesis:\mu < 5  

Since we know the population deviation, is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:  

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}} (1)  

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic  

We can replace in formula (1) the info given like this:  

Case n =5

z=\frac{4.8-5}{\frac{0.5}{\sqrt{5}}}=-0.894  

Case n =15

z=\frac{4.8-5}{\frac{0.5}{\sqrt{15}}}=-1.549  

Case n = 40

z=\frac{4.8-5}{\frac{0.5}{\sqrt{40}}}=-2.530  

P-value  

Since is a left tailed test the p value would be:  

Case n =5

p_v =P(z  

Case n =15

p_v =P(z  

Case n =40

p_v =P(z  

5 0
4 years ago
If the length of each side of the right triangle shown on the grid is measured in cm, find the area of the triangle
liberstina [14]

Answer:

A)  \:  25 \:  {cm}^{2}

Step-by-step explanation:

Area: \:  \frac{5 \times 10}{2}  = 25

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