The last option is d. The function is negative when x>0

Step-by-step explanation:

To simplify the expression:

(-11r² +8rs + 4s² ) − (11r² − 4rs – 3s²), we need to perform the subtraction operation by distributing the negative sign to each term inside the parentheses:

-11r² + 8rs + 4s² - 11r² + 4rs + 3s²

Now we can combine like terms by adding or subtracting coefficients of the same variables:

(-11r² - 11r²) + (8rs + 4rs) + (4s² + 3s²)

Simplifying further, we get:

-22r² + 12rs + 7s²

Therefore, the simplified expression is -22r² + 12rs + 7s².

The number of batches of batter that Melissa can make will be 35 batches.

From the information, Melissa has 7 teaspoons of cinnamon and she puts 1/5 tsp of cinnamon into each batch of pancake batter that she makes.

The number of batches of batter that Melissa can make will be illustrated as:

= Number of teaspoon / Amount on each cinnamon

= 7 ÷ 1/5

= 7 × 5

= 35

Therefore, 35 batches can be made.

Learn more about fractions on:

brainly.com/question/17220365

#SPJ1

Melissa has 7 teaspoons of cinnamon. She puts 1/5 tsp of cinnamon into each batch of pancake batter that she makes. How many batches of batter can Melissa make

Answer:

By freeing slaves in the Confederacy, Lincoln was actually freeing people he did not directly control. The way he explained the Proclamation made it acceptable to much of the Union army. He emphasized emancipation as a way to shorten the war by taking Southern resources and hence reducing Confederate strength.

I hope this helps answer your question!

Answer:

Step-by-step explanation:

Question

N

m

4

5

4

U

-

3-

Cu v

-5-4-3-2-1

2

-2

1 w

60

r

2345x

What is the domain of the function on the graph?

O all real numbers

O all real numbers greater than or equal to-2

O all real numbers greater than or equal to-5

O all real numbers greater than or equal to 0

Help please

The inequalities that represent the situation can be presented as follows;

x + y ≤ 13

16·x + 6·y ≥ 120

Please find attached the graph of the inequality created with MS Excel

An inequality is a non equal comparison between expressions, quantities, or numbers.

The specified information are;

The amount Gabriella makes lifeguarding = $16 per hour

The amount she makes walking dogs = $6 per hour

The maximum number of hours Gabriella can work in a week = 13 hours

The minimum amount Gabriella must earn in a week = $120

Let x represent the number of hours Gabriella spends lifeguarding, and let y represent the number of hours Gabriella spends walking dogs.

The system of inequalities that can be obtained based on the above details are;

The graph of the above inequalities can be obtained by making y the subject of the inequalities as follows;

y ≤ 13 - x

y ≥ (120 - 16·x)/6 = 20 - (8/3)·x

y ≥ 20 - (8/3)·x

The feasible region is in the triangle with vertices (13, 0), (7.5, 0), (4.2, 8.8)

Learn more about inequalities here: https://brainly.com/question/29189207

#SPJ1

Answer:

If its supposed to be in ratio form, it should be 4:5 4 pounds of rice for every 5 quarts of water

Step-by-step explanation:

The inverse of the function f(x) = x + 4 is given as f⁻¹(x) = x - 4

An inverse function or an anti function is defined as a function, which can reverse into another function. In simple words, if any function “f” takes x to y then, the inverse of “f” will take y to x. If the function is denoted by ‘f’ or ‘F’, then the inverse function is denoted by f-1 or F-1.

In this problem, the function given is f(x) = x + 4;

We can find the inverse of the function as;

y = x + 4;

Let's switch the variables by replacing x as y and y as x;

x = y + 4

Solving for y;

y = x - 4

f⁻¹(x) = x - 4

The graph of the function is attached below

Learn more on inverse of a function here;

https://brainly.com/question/14391067

#SPJ1

The number of students earning master’s degrees in mathematics or statistics in the country in 2009 was 4474.

We are given that;

g(x) = 7x² -226x + 4941

Now,

To find the number of students in 2009, we need to plug in x = 9 into the function g(x), since 2009 is 9 years after 2000.

g(9) = 7(9)² -226(9) + 4941

g(9) = 7(81) -2034 + 4941

g(9) = 567 -2034 + 4941

g(9) = 4474

Therefore, according to the function g(x) the answer will be 4474.

Learn more about function here:

https://brainly.com/question/2253924

#SPJ1

Answer:

Thanks

Step-by-step explanation:

Thanks

Answer: B. The area of the square pizza is larger.

Step by step solution:

With the information given, we can calculate the area of the circular pizza and the square pizza, to determine which statement is true.

The area of a circle can be calculated using the formula:

We know the circular pizza has a 10-inch diameter, replace D on the above formula:

The area of a square can be calculated using the formula:

We know the sides of the square pizza are 9-inches, replace on the above formula:

The expected value of X or E(X) is 2.45.

To find the expected value of a random variable X, denoted by E(X), we use the formula:

E(X) = ∑[x*P(X=x)]

where x is the value of X and P(X=x) is the probability of X taking the value x.

Using this formula, we can calculate the expected value of X based on the probability distribution table given to us.

X    1    2    3    4

P(X)   0.25 0.30 0.20 0.25

E(X) = (1 * 0.25) + (2 * 0.30) + (3 * 0.20) + (4 * 0.25)

= 0.25 + 0.60 + 0.60 + 1.00

= 2.45

Therefore, the expected value of X is 2.45.

To learn more about probability refer to:

brainly.com/question/30034780

#SPJ4

The probability distribution of the random variable X is given in the following table. Find the expected value of X . (Round your answer to 4 decimal places.) x -2 -1 0 1 2 P(X =x)  

a. 3

b. 2.45

c.6.9

d.1.2

No, it does not pass the vertical line test

The dimensions of the smaller rectangle are 13 centimeters by 52 centimeters.

Let's assume the dimensions of the smaller rectangle are length L and width W (in centimeters).

We know that the area of the smaller rectangle is 676 square centimeters:

L * W = 676    ----(1)

We also know that the larger rectangle has a shorter side of 41 centimeters. Let's say the corresponding longer side of the larger rectangle is H centimeters.

The area of the larger rectangle is 3457 square centimeters:

41 * H = 3457    ----(2)

Our current set of equations contains two unknowns. In order to get the smaller rectangle's dimensions, we can simultaneously solve these equations.

In order to find H, we can use equation (2):

H = 3457 / 41

H ≈ 84.22

Now we can substitute this value of H into equation (1):

L * W = 676

We need to find the dimensions (L and W) that multiply to give 676. We can start by looking for factors of 676.

Factors of 676: 1, 2, 4, 13, 26, 52, 169, 338, 676

By trial and error, we can see that the factors that give a close match to the dimensions of the larger rectangle (41 and 84.22) are 13 and 52:

L = 13

W = 52

Therefore, the smaller rectangle has measurements of 13 by 52 centimetres.

Learn more about area of rectangle on:

https://brainly.com/question/23677609

The graph with the same end behavior is the one in option C.

The given function has a numerator with a negative leading coefficient and an odd degree, while the denominator is a quadratic polynomial.

It will mean that as x tends to negative infinity, the function tends to infinity, and as x tends to positive infinity, the function tends to negative infinty, that is the end behavior of the given function.

The graph with that end behavior is the same one than in option C.

Learn more about end behavior:

https://brainly.com/question/1365136

#SPJ1

The median of the data collected from a track meet  is 2 meters.

The median is the middle number in a sorted, ascending or descending list of numbers.

To calculate the median of the given date, we folloe the steps below.

Collected date: 1, 4, 6, 2, 4, 3, 2/3, 1/3, 1/2

Step 1: Rearreange the date in accending order.

Step 2: Pick the middle of the number in the arranged data

Hence, the median of the data collected is 2 meters.

Learn more about median here: https://brainly.com/question/26151333

#SPJ1

Answer:

2.5

Step-by-step explanation:

The factoring of the quadratic function as a product of two binomials is given as follows:

x² + 10x + 24 = (x + 6)(x + 4).

The quadratic function for this problem is given as follows:

x² + 10x + 24.

To factor the quadratic function as a product of the two binomials, we must obtain it's roots, that is, solve:

x² + 10x + 24 = 0.

The coefficients of the quadratic function are given as follows:

a = 1, b = 10, c = 24.

Hence the discriminant is of:

D = 10² - 4 x 1 x 24 = 4.

The first root of the quadratic function is given as follows:

x = (-10 - square root of (4))/2 = -6.

The second root of the quadratic function is given as follows:

x = (-10 + square root of (4))/2 = -4.

Hence, using the Factor Theorem, the binomial product is given as follows:

x² + 10x + 24 = (x + 6)(x + 4).

More can be learned about quadratic functions at https://brainly.com/question/24737967

#SPJ1

Answer:

(x - 4)(x+8)

(Hopefully this helps, and if you can please give me brainliest)

Answer:

446.153846154 per week

Step-by-step explanation:

Answer:

Really?

cos(x) = f/e

tan(x) = d/f

sin(x) = d/e

Answer:

X = -21

Step-by-step explanation:

X / 3 + 5 = -2

X / 3 = -7

X = -21

Answer:

x = -9

Step-by-step explanation:

x + 15 = 6

x = 6 - 15

x = -9

Answer:

there is no picture but m∠EBD = m∠EBD would be one of the best one as a guess to what the photo might be

Step-by-step explanation:

Point E is added to the given figure so that point E lies on segment BD and it is exactly halfway between points B and D

Answer:

E & F

Step-by-step explanation:

Given parameters:

    First move = 100m east

    Second move  = 50m west

Unknown:

Distance = ?

Displacement  = ?

Solution:

Distance is total path length covered

Displacement is the distance in a specific direction from start to finish.

            -----------------------→

                       100m

                            ←---------

                               50m

So,

        Distance  = first move + second move  = 100 + 50  = 150m

       Displacement  = 100 - 50  = 50m due West

Answer:

Notification

Step-by-step explanation:

LN = LP

So, we can say:

12w + 7 = 15w - 5

Solving for w,

7 + 5 = 15w - 12w

12 = 3w

w = 12/3

w = 4

Length of LN is 12w + 7

plug in w = 4 to get:

12 (4) + 7

48 + 7 = 55

Length of LN is 55

The roots of the given quadratic equation are 5 and -4

Quadratics are the polynomial equation which has the highest degree of 2. Also, called quadratic equations.

Given is an equation 3x²-13x-10 = 0, we need to solve by using completing the square method,

The given equation is =

3x²-13x-10 = 0

3(x²-13x/3-10/3) = 0

3(x²-2x·13x/6-10/3) = 0

Adding and subtracting (13/6)²

3(x²-2x·13x/6+(13/6)²-(13/6)²-10/3) = 0

3[(x-13/6)²-169/36-10/3] = 0

3[(x-13/6)²-289/36] = 0

(x-13/6)²-289/36 = 0

(x-13/6)² = 289/36

Taking roots,

x-13/6 = ±17/6

x = 17/6+13/6

x = 5

Or,

x = -17/6+13/6

x = -4

Hence, the roots of the given quadratic equation are 5 and -4

Learn more about quadratic equation, click;

https://brainly.com/question/30098550

#SPJ9

Interest is a fee charged by a lender to a borrower for the use of money or credit, usually expressed as a percentage of the amount borrowed or invested over a period of time. Brandon invested $\(4700\) at 3% interest and $\(1100\) at \(8\)% interest.  The total interest earned after one year is $229

How much was in each account?

Let x be the amount invested in the first account that pays 3% interest, and let y be the amount invested in the second account that pays 8% interest. Since the total amount invested is $5800, we have:

\(x + y = 5800\)

The amount of interest earned on the first account is 0.03x, and the amount of interest earned on the second account is 0.08y. Since the total interest earned after one year is $229, we have:

\(0.03x + 0.08y = 229\)

We now have two equations with two unknowns:

\(x + y = 5800\)

\(0.03x + 0.08y = 229\)

We can solve for x and y by using elimination or substitution method. Here, we will use the substitution method.

Solve the first equation for x:

\(x = 5800 - y\)

Substitute this expression for x into the second equation and solve for y:

\(0.03(5800 - y) + 0.08y = 229\)

\(174 - 0.03y + 0.08y = 229\)

\(0.05y = 55\)

\(y = 1100\)

Now substitute this value of y into either equation to solve for x:

\(x + 1100 = 5800\)

\(x = 4700\)

Therefore, Brandon invested $\(4700\) at 3% interest and $\(1100\) at \(8\)% interest.

Learn more about the interest here:

brainly.com/question/30393144

#SPJ1

For binary class classification, assumptions are necessary in a way:

Given that

From Boyer Naive classifier,

We evaluate (ai | vj) is given below

(ai | vj) = n(e) + m(p) / n + m

Here,

m = equivalent sample size

n(e) = number of training examples

for which v = vj and a = ai

n(i) = number of training example for which v = vj

P = a prior estimate for P(ai | vj)

Here, we calculate that

P(SUV | yes), P(Red | yes), P(Domestic | yes)

P(SUV | no), P(Red | no), P(Domestic | no)

We evaluating this value like

yes:

RED :                             SUV:                            DOMESTIC:

n = 5                              n = 5                             n = 5

n(c) = 3                          n(c) = 1                           n(c) = 2

P = 0.5                          P = 0.5                           P = 0.5

m = 3                              m = 3                            m = 3

Therefore, with the above calculation we can justify that the simplifying assumptions are necessary in a binary class classification.

To know more about binary class, refer: https://brainly.com/question/15683492

#SPJ4