Which statement is true?

A. -8xy and x+y are like terms.

B. -8xy and 9x are like terms.

C. -8xy and 9y are like terms.

D. -8xy and 9xy are like terms

Answer:

-4 and 1

Step-by-step explanation:

-4 times 1 equals -4 and then -4 plus 1 equals 3

The two numbers that satisfy the given conditions are 4 and -1. They multiply to -4 and add up to 3.

To find two numbers that satisfy the given conditions, we can set up a system of equations.

Let's assume the two numbers are represented by 'x' and 'y'. We know that their product is -4 and their sum is 3, so we can write the following equations:

xy = -4 (Equation 1)

x + y = 3 (Equation 2)

To solve this system of equations, we can use the substitution or elimination method. Let's use the substitution method.

From Equation 2, we can express y in terms of x: y = 3 - x.

Substituting this into Equation 1, we get:

x(3 - x) = -4

Expanding and rearranging the equation, we have:

3x - x² = -4

Rearranging again, we get a quadratic equation:

x² - 3x - 4 = 0

We can factor this equation:

(x - 4)(x + 1) = 0

Setting each factor to zero, we find two possible solutions for x:

x - 4 = 0 --> x = 4

x + 1 = 0 --> x = -1

Now, we can substitute these values of x back into Equation 2 to find the corresponding values of y:

For x = 4: y = 3 - 4 = -1

For x = -1: y = 3 - (-1) = 4

Therefore, the two numbers that satisfy the given conditions are 4 and -1. They multiply to -4 and add up to 3.

To learn more about the system of equations;

brainly.com/question/13729904

#SPJ6

For the given function, we have:

Domain:  (-∞, ∞)

Range: [-2, ∞)

Remember that for a function the domain is the set of the possible inputs while the range is the set of the outputs.

On the graph, we can see a quadratic equation, remember that for every polynomial the domain is the set of all the real values, the same is for this case, so we conclude that the domain is:

D: (-∞, ∞)

The range will be the set of all values larger than the minimum of the parabola, which is at the vertex.

On the graph, we can see that the minimum is y = -2, then the range is:

R: [-2, ∞)

If you want to learn more about range and domains:

https://brainly.com/question/10197594

#SPJ1

Answer:

-1.6 < √2 - 3 < -1.5

Step-by-step explanation:

√2  - 3 = -1.58

-1.5 is closer to 0 so it is larger than -1.5 and -1.6 is father from 0 than -1.58 and -1.5 so its less than

The values 8, 15 and 17 is a Pythagorean triple and therefore a right angle triangle.

A Pythagorean triple is a set of three positive integers, a, b, and c, such that a^2 + b^2 = c^2, which represents the sides of a right-angled triangle, where c is the hypotenuse.

In this problem, we can we can check if the values are for a right angle triangle.

Assuming this is a right angle triangle which obeys Pythagoras theorem, the longest side will be the hypothenuse.

c² = a² + b²

17² = 15² + 8²

289 = 225 + 64

289 = 289

From the calculation above, the values of is a Pythagorean triple.

Learn more on Pythagorean triple here;

https://brainly.com/question/15190643

#SPJ1

Answer:

elixir , syrop , drops and lotions

Step-by-step explanation:

Answer:

I think it’s C

Step-by-step explanation:

Answer: (x,y) to (x,-y)

Step-by-step explanation:

Answer:

2764/39582/×2244492958//939205>

The product of 0.105 and 1000.2000 has three significant digits.

The answer is D. 3.

To determine the number of significant digits in the product of 0.105 and 1000.2000, we need to consider the rules for significant figures in multiplication.

In multiplication, the result should have the same number of significant digits as the measurement with the fewest significant digits. Let's analyze the given numbers:

0.105 has three significant digits (leading zeros are not significant).

1000.2000 has eight significant digits.

When multiplying these numbers, the product is 105.02100. The measurement with the fewest significant digits is 0.105 with three significant digits. Therefore, the product should also have three significant digits to maintain accuracy and precision.

Hence, the answer is D. 3. The product of 0.105 and 1000.2000 has three significant digits. It's important to consider significant figures in calculations to ensure the appropriate level of precision and avoid introducing misleading or inaccurate information.

To learn more about the significant digits;

https://brainly.com/question/28993414

#SPJ1

Answer:

0.288

Step-by-step explanation:

Given that :

Correlation (R) = 0.48

Slope of linear model which predicts Lifespan from years of education (m) = 0.8

To determine the value of slope of the model which predicts years of eductauoon from lifespan:

The square of the regression Coefficient is multiplied by the inverse of the slope of linear model which predicts Lifespan from years of education

Hence,

(R² * 1/m)

0.48² * 1/0.8

0.2304 * 1.25

= 0.288

Answer:

x + 2

Step-by-step explanation:

Area = x² + 11x + 18

length = x + 9

width = ?

Area = length x width

Factor the polynomial x² + 11x + 18:

length x width = (x + 9)(x + 2) = x² + 11x + 18

The length is x + 9, therefore the width is x + 2

Answer:

11/30 or 0.36

Step-by-step explanation:

Answer:

11/30

Step-by-step explanation:

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

LCD(1/5, 1/6) = 30

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

(1/5×6/6)+(1/6×5/5)=?

Complete the multiplication and the equation becomes

630+530=?

The two fractions now have like denominators so you can add the numerators.

6+5/30=11/30

The fraction cannot be simplified, final answer 11/30

Answer:

(a) $60

(b) $180

Step-by-step explanation:

Let the price of 1 table lamp be t.

Then the price of a fan is 3t.

2(3t) + 3t = 540

6t + 3t = 540

9t = 540

t = 60

A table lamp costs $60.

3($60) = $180

A fan costs $180.

Step-by-step explanation:

\(\sqrt[3]{t^{2} } + 4\sqrt{t^{3} } \\=t^{\frac{2}{3} } + 4t^{\frac{3}{2} }\\\\then, \\u` = \frac{2}{3}t^{-\frac{1}{3}} + 6t^{\frac{1}{2} }\)

The derivative of the function cos(xº) in radians is y' = -sin(xπ/180)

From the question, we have the following function definition that can be used in our computation:

cos(xº)

Changing the degree into radian, we have

cos(xπ/180)

Express as a function

So, we have

y = cos(xπ/180)

When the cosine function is differentiated, we have

y' = -sin(xπ/180)

Hence, the differentiated function is y' = -sin(xπ/180)

Read more about derivative at

https://brainly.com/question/5313449

#SPJ1

Answer:

θ = 0 to θ = 2π, r = 1 to r = -1 and z = 0 to z = 3

Step-by-step explanation:

Since the integration is in cylindrical coordinates, θ is integrated from 0 to 2π.

Since r = cosθ

when θ = 0, r = cos0 = 1

when θ = 2π, r = cos2π = -1

Since the region is bounded below by the plane z = 0, and on the top by the paraboloid z = 3r², z is integrated from z = 0 to z = 3r².

So, when r = 1, z = 3r² = 3(1)² = 3

when r = -1, z = 3r² = 3(-1)² = 3

So, the limits of integration of  

∭f(r,θ,z)dz r dr dθ are θ = 0 to θ = 2π, r = 1 to r = -1 and z = 0 to z = 3

Answer: 75°

Step-by-step explanation:

Solution;

Here:. let, one angle be x

From the question ,

x+15=90(Being sum of complementary angle)

x=90-15

x=75

Answer:

The answer is not complete. I will explain the concept of profit to you.

Step-by-step explanation:

We can determine profit deducting direct costs (cost price) of commodities from sales (selling prices) of the commodities.

Profit = Selling Price - Cost Price

Example:

A trader buys some dresses for #2,500 in May and agrees to pay for it in three months’ time. He sells off all the dresses in August for #4,500. The profit for the month is #2,000.

The formula for percentage profit is \(\frac{profit * 100}{cost price}\)

The formula for gross profit is Revenue – Cost of Sold Items

Profit Margin =  \(\frac{Total Income}{Net Sales}\) * 100

While Gross Profit Margin can be calculated as \(\frac{Gross Profit}{Net Sales}\) * 100

Any of these formulas can be used to calculate profit-related questions.

The mean of the circled numbers is 5. This means that the real estate agent estimates that the average family size in the entire neighborhood is 5.

What is mean?

In statistics, the mean (also known as the arithmetic mean or average) is a measure of central tendency that represents the sum of a set of numbers divided by the total number of numbers in the set.

In this scenario, the real estate agent is trying to estimate the average family size in the entire neighborhood using a random sample. The agent took a sample of 15 families in the neighborhood, and circled 5 of those family sizes for the purpose of estimation.

To calculate the estimate of the average family size, we first need to find the mean of the circled numbers. To do this, we add up the circled numbers and then divide by the total number of circled numbers:

(6 + 5 + 4 + 7 + 3) / 5 = 25 / 5 = 5

Therefore, the mean of the circled numbers is 5. This means that the real estate agent estimates that the average family size in the entire neighborhood is 5.

To learn more about mean from the given link:

https://brainly.com/question/31101410

#SPJ1

Answer:

C

Step-by-step explanation:

y <= 2x - 2

the delimiter line is therefore

y = 2x - 2

that is true for all 4 answer options.

but the y-values must be smaller than the values in the line. so, the area right-down from the line is correct.

that leaves us with B and C.

dotted line or solid line - the difference is if the line values are included in the solution or excluded.

if the line is dotted, then the line is not included.

if the line is solid, then the line is included.

because the inequality uses "<=", the line is included.

so, the answer with the solid line is correct : C.

Answer:

A

Step-by-step explanation:

Remember that

A binomial has two terms

therefore

Answer:uh -1

Step-by-step explanation:

Answer:18

Step-by-step explanation:15 + 6 u add the 15 and the 6 for it to be 18

Answer:

n +2

Step-by-step explanation:

If three numbers are consecutive, the 2nd number would be one more than the 1st number, and the 3rd number would be one more than the 2nd number.

Since the smallest number is n,

2nd consecutive number= n +1

3rd consecutive number

= n +1 +1

= n +2

Thus, the expression for the largest number is n +2.

Let's check!

If the smallest of the three consecutive number is 1, the 3rd consecutive number would be 3.

3rd consecutive number

= n +2

= 1 +2

= 3 (✓)

Thus, the expression is correct.

h(t) = -16t^2 + 160t + 384 Rewritten in factored form is 16(−t−2)(t−12).

If Jacob ran 10 miles in 80 minutes at that he will run the distance of 18.75 miles in \(2\frac{1}{2}\) hours

Number of miles that Jacob will run in 80 minutes = 10 miles

Number of miles that Jacob will run in 1 minutes = Number of miles that Jacob will run in 80 minutes/ 80

= 10/80

= 0.125 miles

We know,

1 hour = 60 minutes

\(2\frac{1}{2}\) hours = 2.5×60

= 150 minutes

Number of of miles that Jacob will run in 150 minutes = Number of miles that Jacob will run in 1 minutes × 150

= 0.125×150

= 18.75 miles

Hence, if Jacob ran 10 miles in 80 minutes at that he will run the distance of 18.75 miles in \(2\frac{1}{2}\) hours .

Learn more about distance here

brainly.com/question/23423168

#SPJ1

Answer:

Let's start by using algebra to solve for the original amount that Alex paid for his shares.

Let X be the original amount that Alex paid for his shares.

We know that his shares dropped in value by 35%, so after the drop, he had 65% of his original investment left:

0.65X = $72,800

Solving for X:

X = $72,800 / 0.65

X = $112,000

Therefore, Alex paid $112,000 for his shares to begin with.

The z-statistic test was conducted to determine the Deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.

Report on the Analysis of American Airlines (Domestic) PerformanceThe quantitative analysis focused on three variables- load factors, revenue passenger miles, and available seat miles for American Airlines.

The Bureau of Transportation Statistics data for domestic flights from January 2006 to December 2012 was retrieved for the analysis. The quantitative analysis also focused on finding critical statistical values like mean, median, mode, standard deviation, variance, and minimum/maximum variables. The results of the data are summarized in Table 2. Revenue Passenger Miles (RPM) mean is 6,624,897, the median is 6,522,230, and mode is NONE. The minimum is 5,208,159 and the maximum is 8,277,155. The standard deviation is 720,158.571, and the variance is 518,628,367,282.42.

Load Factors (LF) mean is 82.934, the median is 83.355, and mode is 84.56. The minimum is 74.91, and the maximum is 89.94. The standard deviation is 3.972, and the variance is 15.762. The Available Seat Miles (ASM) mean is 7,984,735, the median is 7,753,372, and mode is NONE. The minimum is 6,734,620, and the maximum is 9,424,489. The standard deviation is 744,469.8849, and the variance is 554,235,409,510.06.Figure 1 above displays the performance of American Airlines (Domestic).

The mean RPM is 7,984,735, and the linear regression line is y = 50584x - 2.53E+8. The linear regression line indicates a positive relationship between RPM and year, with a coefficient of determination, R² = 0.6806. A coefficient of determination indicates the proportion of the variance in the dependent variable that is predictable from the independent variable. Therefore, 68.06% of the variance in RPM is predictable from the year. A one-way ANOVA analysis of variance test was conducted to determine the equality of means of three groups of variables; RPM, ASM, and LF. The null hypothesis is that the means of RPM, ASM, and LF are equal.

The alternative hypothesis is that the means of RPM, ASM, and LF are not equal. The level of significance is 0.05. The ANOVA results indicate that there is a significant difference in means of RPM, ASM, and LF (F = 17335.276, p < 0.05). Furthermore, a post-hoc Tukey's test was conducted to determine which variable means differ significantly. The test indicates that RPM, ASM, and LF means differ significantly.

The skewness test was conducted to determine the symmetry of the distribution of RPM, ASM, and LF. The test indicates that the distribution of RPM, ASM, and LF is not symmetrical (Skewness > 0).

Additionally, the z-statistic test was conducted to determine the deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.

For more questions on Deviation .

https://brainly.com/question/24298037

#SPJ8