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3 years ago

14

Write the expression-3x2+2y2+5xy-2y+5x2-3y2 in simplest form A how many terms are in the simplified expression? B how many terms

in the simplified expression negative?

1 answer:

natima [27]3 years ago

5 0

Answer:

4
2

Step-by-step explanation:

= x²(-3 +5) +y²(2 -3) +5xy -2y

= 2x² -y² +5xy -2y

a) there are 4 terms in the simplified expression

b) 2 terms have negative coefficients (-y² and -2y)

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The picture is what I need help with PLS HURRY

erma4kov [3.2K]

Answer: $2.70\ quarts\approx3\ quarts$

Step-by-step explanation:

The area of a rectangle can be calculated with this formula:

$A_r=lw$

Where "l" is the lenght and "w" is the width.

And the area of triangle can be found with this formula:

$A_t=\frac{bh}{2}$

Where "b" is the base and "h" is the height.

First:

- Convert inches to feet:

$(30\ in)(\frac{1\ ft}{12\ in})=2.5\ ft$

- Convert the mixed number to decimal number:

$30\frac{1}{10}=30+0.1=30.1$

You can identify that the ramp is formed by three rectangles and two equal right triangles.

Since the bottom of the ramp does not have to be stained, you need to find:

1. The area of the smaller rectangle:

$A_1=(2.5\ ft)(6\ ft)=15\ ft^2$

2. The area of the larger rectangle on the top:

$A_2=(30.1\ ft)(6\ ft)=180.6\ ft^2$

3. The area of the triangles:

$A_3=A_4=\frac{(30\ ft)(2.5\ ft)}{2}=37.5\ ft^2$

Add the areas:

$Total=15\ ft^2+180.6\ ft^2+37.5\ ft^2+37.5\ ft^2=270.6\ ft^2$

Since a quart of stain covers $100 ft^2$ , for $270.6\ ft^2$ you need to buy:

$\frac{270.6}{100}=2.70\ quarts\approx3\ quarts$

8 0

3 years ago

Please answer explain if so thank you

KIM [24]

I think it’s 17x+10y less or equal to 780

7 0

2 years ago

Daniel and Hector both throw shot put for their school's track and field team.

tatyana61 [14]

Answer:

Option B : Hector by 3 feet is the correct answer.

Step-by-step explanation:

Given that:

Mean of Daniel = $\frac{Sum\ of\ quantities}{Number\ of\ quantities}$

Mean of Daniel = $\frac{27+30+34+35+34}{5} = \frac{160}{5}$

Mean of Daniel = 32 feet

Mean of Hector = $\frac{38+24+38+40+35}{5} = \frac{175}{5}$

Mean of Hector = 35 feet

Therefore,

Hector has a greater mean

Difference = Hector's Mean - Daniel's Mean

Difference = 35 - 32

Difference = 3 feet

Hence,

Option B : Hector by 3 feet is the correct answer.

3 0

2 years ago

C'est un calcul de développement combien fait : 3x-6+7×(2x+4)

Trava [24]

The answer is 17x+22

3 0

2 years ago

There were 2430 Major League Baseball games played in 2009, and the home team won the game in 53% of the games. If we consider t

Ivahew [28]

Answer:

$z=\frac{0.53 -0.5}{\sqrt{\frac{0.5(1-0.5)}{2430}}}=2.958$

$p_v =P(Z>2.958)=0.0015$

So the p value obtained was a very low value and using the significance level given $\alpha=0.05$ we have $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion is significantly higher than 0.5 .

Step-by-step explanation:

1) Data given and notation

n=2430 represent the random sample taken

$\hat p=0.53$ estimated proportion when the home team won the game

$p_o=0.5$ is the value that we want to test

$\alpha=0.05$ represent the significance level

Confidence=95% or 0.95

z would represent the statistic (variable of interest)

$p_v$ represent the p value (variable of interest)

2) Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the proportion is higher than 0.5 or 50%:

Null hypothesis: $p\leq 0.5$

Alternative hypothesis: $p > 0.5$

When we conduct a proportion test we need to use the z statistic, and the is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

3) Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.53 -0.5}{\sqrt{\frac{0.5(1-0.5)}{2430}}}=2.958$

4) Statistical decision

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.

The significance level provided $\alpha=0.05$ . The next step would be calculate the p value for this test.

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

$p_v =P(Z>2.958)=0.0015$

So the p value obtained was a very low value and using the significance level given $\alpha=0.05$ we have $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion is significantly higher than 0.5 .

8 0

3 years ago