Farmer Quect wanted to sell some lirns and dubbles at the market. He planned to charge $7 per lirn and $4 per dubble. He expected to make at least $84. He expected to sell at most 15 units. Write a system of statements, in standard form, modeling the relationships between amount of lirns (x) and amount of dubbles (y).​

The expression for the difference of two linear functions is (f - g)(x) = 4x - 6.

A linear function is a type of function in mathematics that has the form f(x) = mx + b, where x is the independent variable, f(x) is the dependent variable, m is the slope of the line, and b is the y-intercept.

To find the expression for the difference of two linear functions, f(x) and g(x), denoted by (f - g)(x).

The expression for (f - g)(x) can be found by subtracting g(x) from f(x):

(f - g)(x) = f(x) - g(x)

Substituting the given functions f(x) = x - 2 and g(x) = -3x + 4, we get:

(f - g)(x) = f(x) - g(x)

= (x - 2) - (-3x + 4) [Substitute the given values of f(x) and g(x)]

= x - 2 + 3x - 4 [Distribute the negative sign in front of (-3x + 4)]

= 4x - 6 [Combine like terms]

Therefore, (f - g)(x) = 4x - 6.

Option D (-3x² - 2x - 8) is incorrect as it involves squaring a linear expression, which would result in a quadratic expression. Option A (which has no operation between 3 and 22) is not a valid expression. Option B (-3x - 8) and C (3x3x22 or 198) do not take into account the fact that each sundae can be made using one of 3 syrups and one of 3 candy toppings.

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Answer:

C is the answer

Hope I helped

Answer:

x = 54

Step-by-step explanation:

In this line, I am going to assume lines l and m are parallel.

Each flat surface is half of a circle, therefore it has 180 degrees. We are given one side and told to find the other.

180 - 116 = 64.

The other angle's total value must be 64.

Now, to solve for x, subtract 10 from 64 [inverse operations].

64-10=54

The value of x in this equation is 54 degrees.

Answer:

الحقيقة لن تكون جيدة جدًا

The answers is

\(x = 2\)

the area of given figure made from two part Parallelogram and Triangle is 288sq cm

A parallelogram is a four-sided shape with opposite sides that are parallel and equal in length. The opposite angles of a parallelogram are also equal in measure. Parallelograms can have various orientations, but their opposite sides will always be parallel.

A triangle, on the other hand, is a three-sided shape with three angles and three vertices. The sum of the angles in a triangle is always 180 degrees. Triangles can come in various shapes and sizes, such as equilateral (all sides and angles are equal), isosceles (two sides and two angles are equal), and scalene (all sides and angles are different).

given that

1st part:

Base=6cm

height=8cm

Area=1×Base×Height/2

Area=(1×6×8)cm²/2

Area=24cm²

it have two part so, Area=2×24=48sq cm

2nd part:

if we assume Parallelogram

Area=Base×Height

Area=15cm×8cm

Area=120 sq unit

it have two part so,2×120sq cm

240sq unit

total area of given figure is 48 sq cm+240sq cm=288 sq unit.

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Considering that y is between x and z, we have that:

We consider that y is between x and z, hence the length of the segment is given by:

xz = xy + yz

The separate lengths are given as follows:

Hence:

4k + 38 = 3k - 2 + 7k + 4.

4k + 38 = 10k + 2

6k = 36

k = 6.

Hence the length of yz is given by:

yz = 7k + 4 = 7(6) + 4 = 42 + 4 = 46 units.

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n² + 1 = 2 5 10 17 26. So the nth term of the sequence is n²+1.

Integers include zero, a positive natural number, and a negative integer represented by a minus sign, and the missing integers in the given situation are 5 < √48 < 7.

Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers.

The inverse additives of the equivalent positive numbers are the negative numbers.

The boldface Z is a common mathematical symbol for the set of integers.

An integer, pronounced "IN-tuh-jer," is a whole number that can be positive, negative, or zero and is not a fraction.

Integer examples include -5, 1, 5, 8, 97, and 3,043. 1.43, 1 3/4, 3.14, and other numbers that are not integers are some examples.

So, we have:
__ < √48 < __

We know that:

√48 = 6.92

Then,

5 < √48 < 7

Therefore, integers include zero, a positive natural number, and a negative integer represented by a minus sign, and the missing integers in the given situation are 5 < √48 < 7.

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Complete question:

Use the integers that are closest to the number in the middle.

__ < √48 < __.

The 2014-t6 aluminium rod has a diameter of 30 mm and supports the load is 0.025 mm

To determine the suitability of the 2014-t6 aluminum rod for supporting the given load, we need to consider its strength and stability. The diameter of the rod is given as 30 mm, which we can use to calculate its cross-sectional area as πr^2, where r is the radius (15 mm in this case).
Assuming that the load is uniformly distributed along the rod's length, we can calculate the maximum bending moment it can sustain using the formula Mmax = WL/8, where W is the total load and L is the distance between the supports (d = 2.25 m).
If we substitute the given values, we get Mmax = 5000 N * 2.25 m / 8 = 1406.25 Nm. We can then use the formula for the bending stress in a circular beam, σ = Mc/I, where c is the distance from the neutral axis to the outermost fiber (half the diameter) and I is the moment of inertia of the cross-section.
For a solid circular section, I = πr^4/4, and c = r. Plugging in the values, we get σ = (1406.25 Nm * 0.015 m) / (π * 0.015^4 / 4) = 10.15 MPa.
Comparing this value to the yield strength of 2014-t6 aluminum (around 390 MPa), we can see that the rod should be able to support the load without exceeding its yield strength. However, we also need to ensure that the deflection of the rod is within acceptable limits.
Using the formula for the deflection of a cantilever beam, δ = WL^3/3EI, where E is the modulus of elasticity of the material, we can calculate the maximum deflection as δ = 5000 N * (2.25 m)^3 / (3 * 70 GPa * π * 0.015^4 / 4) = 0.025 mm. This is a very small deflection, which suggests that the rod should be stable under the given load.

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The 15.87% of items with the shortest lifespan will last less than approximately 9.066 years.

To find the number of years that the 15.87% of items with the shortest lifespan will last, we need to determine the corresponding z-score and then use it to find the corresponding value on the standard normal distribution.

First, we need to find the z-score corresponding to the given percentage. The z-score represents the number of standard deviations away from the mean. The area under the standard normal curve to the left of a z-score represents the percentage of values below that z-score.

Using a standard normal distribution table or a calculator, we can find that the z-score corresponding to a cumulative area of 15.87% is approximately -1.036. This means that the 15.87% of items with the shortest lifespan will have a z-score of -1.036.

Next, we can use the formula for z-score transformation to find the corresponding value on the normal distribution:

z = (X - μ) / σ

where X is the value we want to find, μ is the mean, and σ is the standard deviation.

Rearranging the formula, we have:

X = z * σ + μ

Plugging in the values, we get:

X = -1.036 * 0.9 + 11

Calculating this, we find:

X ≈ 9.066

Therefore, the 15.87% of items with the shortest lifespan will last less than approximately 9.066 years.

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Answer:

x = 14   y = 37

Step-by-step explanation:

180 - (9x + 12) = 3x

180 - 9x - 12 = 3x

168 = 12x

x = 14

4y - 10 + 3(14) = 180

4y - 10 + 42 = 180

4y + 32 = 180

4y = 148

y = 37

Answer:

9.41 km/h

Step-by-step explanation:

The total distance of the race, d = 8 km

The time Sarah took to run the race, t = 55 mins

The time Jo started the race = 3 mins later than Sara

The point Jo caught up with Sarah = 6 km into the race

The rate at which Jo and Sarah ran = Constant speed

The required information = Jo's speed

From the information given, Sarah's speed, v = 8 km/(55 mins) = (8/55) km/min × 60min/h = 96/11 km/h

The time it would take Sarah to run 6 km = 6 km/(8 km/(55 mins)) = 41.25 mins

Given that Jo started 3 minutes late, and they both arrive at 6 km into the race at the same point in time, the time it took Jo to arrive at 6 km into the race = The time it took Sarah - 3 minutes

∴ The time it took Jo to run the 6 km = 41.25 minutes - 3 minutes = 38.25 minutes

Given that Jo ran at a constant speed, and speed = distance/time, we have;

Jo's speed = 6 km/(38.25 min) = 8/51 km/min × 60 min/h = (160/17) km/h ≈ 9.41 km/h.

Answer:

It is NOT c

Step-by-step explanation:

I clicked c and it was wrong lol.

Answer:

its D

Hope this helps ⊂◉‿◉つ

Answer:

the answer is actually -14 3/5 not 14 3/5

Step-by-step explanation:

yw i did test got 100% btw

The value m of the equation -57 = 16 + 5m is -14 3/5

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be -57 = 16 + 5m

Now , on simplifying the equation , we get

5m + 16 = -57

Subtracting 16 on both sides , we get

5m = -73

Divide by 5 on both sides of the equation , we get

m = -73/5

m = -14 3 / 5

Therefore , the value of m is -14 3/5

Hence , The value m of the equation -57 = 16 + 5m is -14 3/5

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k = 15 is the answer!!!!!!

Answer:

Music and Dance

Step-by-step explanation:

When looking at the numbers for each class u want to add up the numbers. When u get the answers look for the two numbers witch are the closes to each other.

Answer:

I think the answer to your eustion is 10?

Step-by-step explanation:

I hope this helps, have a nice day

Answer:

Hope this helps! :)

And also try using symbolab it's really helpful

To find all of the left cosets of ka5l in kal, we multiply the element ka5l by each power of a in kal. Since a has order 15, there will be 15 left cosets in total. Each left coset will contain 15 elements.

Let's start by finding the element ka5l. Since the specific values of ka5l and a^i are not provided, we'll use the general notation.

The left cosets of ka5l in kal are obtained by multiplying each element of ka5l by the elements of kal. In this case, we'll consider the powers of a from a^0 to a^14.

The left cosets can be represented as follows:

ka5l * a^0 = {ka5l * a^0, ka5l * a^1, ka5l * a^2, ..., ka5l * a^14}

ka5l * a^1 = {ka5l * a^1, ka5l * a^2, ka5l * a^3, ..., ka5l * a^15}

ka5l * a^2 = {ka5l * a^2, ka5l * a^3, ka5l * a^4, ..., ka5l * a^16}

...

ka5l * a^14 = {ka5l * a^14, ka5l * a^15, ka5l * a^16, ..., ka5l * a^28}

Each set represents a left coset, and each left coset contains 15 elements. The total number of left cosets is 15, corresponding to the order of a.

It's important to note that the specific values of ka5l and a^i may vary depending on the context or given information. Substitute the actual values accordingly to determine the elements of each left coset.

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Answer: It would take the bug 26min to clime the pole

Step-by-step explanation: For me I drew a pole and labeled it like a number line.

1. use or make a number line and plot 0-10 on it.

2. jump 2 points from 0 on the number line

3. Jump backwards once to make the equation accurate

4. plot the times it takes along the way to find the answer until you get to 10

I hope

Mean of rt = 0.02,

Variance of rt = 0.02,

Lag-1 Autocorrelation (ρ1) = -0.01,

Lag-2 Autocorrelation (ρ2) = Unknown,

1-step ahead forecast = -0.005,

2-step ahead forecast = 0.02,

The standard deviation of forecast errors = √0.02.

We have,

To find the mean and variance of the return series, we can substitute the given model into the equation and calculate:

Mean of rt:

E(rt) = E(0.02 + 0.5rt-2 + et)

= 0.02 + 0.5E(rt-2) + E(et)

= 0.02 + 0.5 * 0 + 0

= 0.02

The variance of rt:

Var(rt) = Var(0.02 + 0.5rt-2 + et)

= Var(et) (since the term 0.5rt-2 does not contribute to the variance)

= 0.02

The mean of the return series rt is 0.02, and the variance is 0.02.

To compute the lag-1 and lag-2 autocorrelations of rt, we need to determine the correlation between rt and rt-1, and between rt and rt-2:

Lag-1 Autocorrelation:

ρ(1) = Cov(rt, rt-1) / (σ(rt) * σ(rt-1))

Lag-2 Autocorrelation:

ρ(2) = Cov(rt, rt-2) / (σ(rt) * σ(rt-2))

Since we are given r100 = -0.01 and r99 = 0.02, we can substitute these values into the equations:

Lag-1 Autocorrelation:

ρ(1) = Cov(rt, rt-1) / (σ(rt) * σ(rt-1))

= Cov(r100, r99) / (σ(r100) * σ(r99))

= Cov(-0.01, 0.02) / (σ(r100) * σ(r99))

Lag-2 Autocorrelation:

ρ(2) = Cov(rt, rt-2) / (σ(rt) * σ(rt-2))

= Cov(r100, r98) / (σ(r100) * σ(r98))

To compute the 1- and 2-step-ahead forecasts of the return series at

t = 100, we use the given model:

1-step ahead forecast:

E(rt+1 | r100, r99) = E(0.02 + 0.5rt-1 + et+1 | r100, r99)

= 0.02 + 0.5r100

2-step ahead forecast:

E(rt+2 | r100, r99) = E(0.02 + 0.5rt | r100, r99)

= 0.02 + 0.5E(rt | r100, r99)

= 0.02 + 0.5(0.02 + 0.5r100)

The associated standard deviation of the forecast errors can be calculated as the square root of the variance of the return series, which is given as 0.02.

Thus,

Mean of rt = 0.02,

Variance of rt = 0.02,

Lag-1 Autocorrelation (ρ1) = -0.01,

Lag-2 Autocorrelation (ρ2) = Unknown,

1-step ahead forecast = -0.005,

2-step ahead forecast = 0.02,

The standard deviation of forecast errors = √0.02.

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Answer:

p(4) = 10

Step-by-step explanation:

So we are given that:

p(x) = 3(2x - 5) + 1

To find p(4) we would have to plug in 4 for every x in the equation.

p(4) = 3(2(4) - 5) + 1 = 3(8 - 5) + 1 = 3(3) + 1 = 9 + 1 = 10

So p(4) = 10

I hope you find my answer and explanation to be helpful. Happy studying. :)

The random real number between 1.0 and 10.0 can be generated using the formula: 1.0 + (RAND() * 9.0).

To generate a random real number within a specified range, we can use the RAND() function. The RAND() function generates a random decimal number between 0 and 1.0. By multiplying this random number by the range of values we desire and adding the minimum value, we can obtain a random real number within the desired range.

In this case, we want a random number between 1.0 and 10.0. To achieve this, we multiply the random number generated by RAND() by the range, which is 9.0 (10.0 - 1.0). This scales the random number to the desired range. Then, by adding 1.0 (the minimum value) to the scaled random number, we obtain the final random real number within the range of 1.0 and 10.0.

To summarize, the formula for generating a random real number between 1.0 and 10.0 is: 1.0 + (RAND() * 9.0).

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Answer:

74 inches

Step-by-step explanation:

82 inches - 8 inches = 74 inches

Answer:

Person 1 run a total of 12 km. Person 2 run a total of 8 km.

Step-by-step explanation:

Person 1 = 6 km/hr x 2

6 x 2= 12 km

Person 2 = 4 km/hr x 2

4 x 2= 8 km

Answer:

Step-by-step explanation:

D the situation shows correlation with causation

Answer:

the situation shows correlation with caution

Answer:

18/81 = 18/81

2/9 = 20/81

5/18 = 50/81

18/8, 20/81, 50/81

Answer: