Find two consecutive even integers such that the sum of the larger and 3 times smaller is 234

Where the derivative of a function f′ is rising, the function f is concave up (or upwards). The function f is concave up when the derivative of a function f′ is rising (or upwards).

When a function is concave, the second derivative must be obtained, set to zero, and then used to establish the range of zero values in which the function is negative. Test values on each side of these to see if the function is negative and hence dropping.

A section of the graph of f has an upward concavity if the curve "bends" upward. The entire y=x2 parabola is concave upward, for instance. A section of the graph of f is concave downhill if the curve "bends" downward.

Concave up is from (-∞ , 1]

Concave down is from [1, ∞)

y-intercept coordinates = - 8.2, 4

increasing value = x = - 8

decreasing value = x = 2.1

end behavior of the graph = downwards

factored form = y = a(x-r)(x-s)

y = a(x+2)(x-1)

-8.2 = a(-8 + 2)(-8-1)

-10 = a (-6)(-9)

a = 10/54

factored form = y = 10/54 (x+2)(x-1)

standard form = Ax + By = C

Yes, the graph has relative min/max values,

min = (-8,8.2)

max = (2.1,4)

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No, the derivative of a logarithmic function is a power function.The derivative of a logarithmic function y = log_a(x) is given by dy/dx = 1/x log_a(e).

The derivative of a logarithmic function of the form y = log_a(x) is given by

dy/dx = 1/x log_a(e)

This is a power function, not a logarithmic function.

The derivative of a logarithmic function y = log_a(x) is given by dy/dx = 1/x log_a(e). This is not a logarithmic function, but rather a power function. This form of the derivative of a logarithmic function is derived from the definition of the logarithm, which is the inverse of the exponential function. The derivative of an exponential function is a power function, and the derivative of a power function is a logarithmic function, so the derivative of a logarithmic function is a power function. The derivative of a logarithmic function is important because it allows us to study the rate of change of a logarithmic function. This rate of change can be used to determine the behavior of a logarithmic function, such as its maximum and minimum points, as well as its concavity. Knowing the derivative of a logarithmic function is essential in understanding the behavior of logarithmic functions.

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The formula that will help kayla determine on how much she'll have to pay if she buys the food in bulk would be = t = 1.29 × X where x is the number of snacks in kilograms.

The total price is equal to the price times the number of snacks you want to buy.

For example, if you buy 5 snacks and each snack costs $2.00, then you multiply $2 × 5 and you have to pay $10.00.

Therefore, the total (t) = the price (1.29) times the number of snacks you buy. In this case, Kayla doesn't know how many snacks to buy, so we use the variable "x" to represent the number of snacks in kilograms.

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Complete question:

kayla notices that she can buy snacks and candy in bulk at the grocery store. the snacks she wants to buy cost 1.29 per kilogram. write a formula that will help kayla determine on how much she'll have to pay if she buys the food in bulk.t= total price and p= price per kilogram.

Answer:

1500+1000=2500

Step-by-step explanation:

1000+250x

x represents the amount of money being deposited every month, therefore you can just plug 6 for x:

1000+250(6)= 2500

Yes, Sam modeled the problem correctly.

Standard order is a type of transaction where goods or services are provided in exchange for payment. The payment for goods and services is usually made in advance, and the goods or services are delivered at an agreed-upon time. It is a common practice for businesses to use standard order for the sale of goods or services. This type of transaction ensures that both parties are satisfied with the terms and conditions of the sale and the transaction is completed in a timely manner.

He used the model to find 2 5/12-1 7/12, which is equal to 7/12. To model the problem, Sam followed the standard order of operations and first subtracted the fractions. He then simplied the resulting fraction by dividing both the numerator and denominator by their greatest common factor, which was 5.

If Sam had not modeled the problem correctly, he would have added the fractions rather than subtracting them. Adding the fractions would have yielded 3 12/12, which is equal to 1. To find the difference, this result would need to be subtracted from the original answer of 7/12. The difference would then be 6/12.

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What the coordinate (1, 10) means is  that after 1 hour, the number of animals in the veterinary office was 10 animals.

From the given linear equation graph, we see that;

y-axis represents Number of animals in the veterinary office

x-axis represents number of hours at which the number of animals are counted.

We have the coordinate (1, 10). What this coordinate means is 1 hour and 10 animals.

Thus, after 1 hour, the number of animals in the veterinary office is 10 animals.

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To calculate to the power of 7, you would use the exponentiation operator (^). For example, if you want to calculate 2 to the power of 7, you would use the following equation: 2^7 = 128

For example, if you want to calculate 2 to the power of 7, you would use the following equation: 2^7 = 128

If you want to calculate a number to the power of 7, you would use the exponentiation operator (^). This operator is used to raise a number to a certain power, or exponent. For example, if you wanted to calculate 2 to the power of 7, you would use the following equation: 2^7 = 128. This means that 2 is being raised to the 7th power, resulting in 128. In other words, 2 is multiplied by itself 7 times, resulting in 128. This same equation can be used to calculate any number to the power of 7, simply by replacing the 2 in the equation with the number you would like to calculate.

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The slower vehicle travels 178 of the total 380 km at an average speed of 89 km/h.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two expressions 3x + 5 and 14, which are separated by the 'equal' sign. A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.

Here,

Let x and x+12 be the speed of cars.

2(x+x+12)=380

2x+12=190

2x=178

x=89 km/hour

x+12=89+12

=101 km/hour

The rate of the slower car is 89 km/hour and it travels 178 km out of 380 km.

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Answer:

What is the average time that Larry rises from bed in the morning

Step-by-step explanation:

Because the answer isn't definite, you have to collect data and analyze to find the answer.

The value of b is 7 and the value of c is 6 for the quadratic equation.

A quadratic equation is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

The possible value of the constants are:-

x²+ bx + c

x² + 7x + 6

x² + 6x + x + 6

x ( x + 6 ) + 1 ( x + 6 )

( x + 6 ) ( x + 1 )

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Type A trees produced 4. 4,000 apples, based on their ratio to the total production of apples during the season.

The ratio refers to the relative value of one variable or number to another.

Ratios are expressed as fractional values using percentages, decimals, and fractions.

The ratio of apples by Type A and Type B trees = 1:5

The sum of ratios = 6

The total number of apples produced in the season = 24,000

The ratio of Type A apples to the total = 1/6

The number of Type A apples = 6,000 (24,000 x 1/6)

Thus, we can conclude that Type A trees produced 6,000 apples while Type B trees produced 18,000 apples.

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 Mr. Elms can only run for four hours, his range and domain are each set at 20 miles per hour.

A function's acceptable range of values is referred to as its domain. These numbers serve as representations of the x-values of a function like f. (x). The set of potential values that a function can be applied to is known as its domain. When the x value is inserted, the method returns the value that is contained in this set. A function's definition is Y = f, where x is the independent variable and y is the dependent variable (x). If it is possible to successfully use a value of x to generate a single value of y using the value of x, that value of x is said to be in the domain of the function.

given

Graphs can be used as a second method to define the domain and range of functions.

A graph's domain is the entire set of input values represented on the x-axis because the term "domain" refers to the set of potential input values. The various output values are displayed on the y-axis and make up the range.

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The value of {k} is equivalent to k = 0.51 {approx.}.

        [tex]${\displaystyle G=\{(x,f(x))\mid x\in X\}.}[/tex]

Given is the population {P} (in thousands) of a certain city from 2000 through 2014 can be modeled by {P} = 160.2[tex]$e^{kt}[/tex], where {t} represents the year, with {t} = 0 corresponding to 2000. In 2006, the population of the city was about 165,050.

We have the function -

{P} = 160.2[tex]$e^{kt}[/tex]

For 2006, t = 6 years. So -

165050 = 160.2[tex]$e^{6k}[/tex]

[tex]$e^{6k}[/tex] = (165050)/(160)

[tex]$e^{6k}[/tex] = (16505)/(16)

[tex]$e^{6k}[/tex] = 1,031.5625

log([tex]$e^{6k}[/tex]) = log(1031.5625)

6k = 3.01349554601

k = (3.01349554601/6)

k = 0.5022492576683333

k = 0.51 {approx.}

Therefore, the value of {k} is equivalent to k = 0.51 {approx.}.

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Answer:

Step-by-step explanation:

it c

Mrs. Mathewson can serve 4 servings of orange juice to her guests.

What is the quart?

A quart is just one unit of volume in the US customary and imperial systems of measurement that is defined relative to the gallon.

If there is 1 quart of orange juice and Mrs. Mathewson would like to serve her guests 1/4 of a quart of orange juice, then we can find the number of servings by dividing the total amount of orange juice by the serving size.

The number of servings can be found by the following calculation:

1 quart / (1/4) quart/serving = 4 servings

Hence, Mrs. Mathewson can serve 4 servings of orange juice to her guests.

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The triangle with the side lengths 2 ft, 3ft, and 5 ft is not the right triangle.

In a right-angled triangle, its sides, such as hypotenuse, and perpendicular, and the base is Pythagorean triplets.

Here,
Given sides,
2ft, 3ft, 5ft

Now,
perpendicular p = 2 ft
base b               =  3 ft
hypotenuse h      = 5 ft

According to Pythagoras' theorem
h² = p² + b²

5² = 2² + 3²
25 ≠ 13

Thus, the triangle with the side lengths 2 ft, 3ft, and 5 ft is not a right triangle.

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Step-by-step explanation:

13x-4x-53x+13x+3

23x+2

Answer: IT IS, substitute x and y in the equation

Also could you mark my answer as brainliest? It helps and doesnt hurt a bit

Round 24 to the nearest 10 is 20. This process is called Round off.

Round-off is the process by which we simplify the number by writing to its nearest number it can be written on the place value of  10th, 100, or 1000, etc. the number can also be used for numbers as well as decimal numbers so that we can write the decimal number in simplified form. The use of round-off facilitates the number so that we can easily calculate them.

For example: if your school is 67 m far from your house, what is the round of the distance? = 70 m

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The number of beads (b) is the dependent variable and the number of necklaces (n) is the independent variable. The equation that describes the situation is b = 12n.

In this situation, the number of beads (b) depends on the number of necklaces (n) that Melinda makes. The dependent variable is the number of beads (b) because it is affected by the independent variable, which is the number of necklaces (n) that Melinda makes.

The equation that relates the number of beads (b) to the number of necklaces (n) is:

b = 12n

This equation states that the number of beads (b) is equal to 12 times the number of necklaces (n) that Melinda makes. In other words, for every necklace Melinda makes, she uses 12 beads.

We can also say that the number of necklaces (n) is the independent variable, because it can change independently from the number of beads (b) that Melinda uses.

--The question is incomplete, the complete question is given below--

"Melinda is making necklaces she uses 12 beads for each necklace the total number of beads b depends on the number of necklaces n. Which are the dependent and independent variables? Also write the equation"

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Answer:2200(1+0.0225/12) raised to the power of 12(4)

2200(1.001875) raised to the power of 12(4)

2204.125 raised to the power of 12(4)

2.98771099E160

or 2.98771099 multiplied by 10 to the 160th power

Step-by-step explanation:

In this activity, students write and solve a system of two linear equations to explore the numerical and graphical meaning of "solution.

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a) La posición final es 30 metros mas arriba que la posicion inicial.

b) La posicion final y la inicial son la misma.

En ambos casos asumimos que la posicion inicial del buzo sera el 0.

Si primero desciende 20 metros, entonces tenemos:

0m - 20m = -20m

Luego asciende 50 metros, entonces sumamos 50m para obtener:

-20m + 50m = 30m

La posicion final es 30 metros mas arriba que la posicion inicial.

B) En este caso primero desciende 25m:

0m - 25m = -25m

Y luego asciende 25m:

-25m + 25m = 0m

La posicion final es la misma que la inicial.

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As long as there are x powers, there are an equal number of roots. The polynomial in this instance has 4 roots because there are 4 x's.

The polynomial equation can be solved by locating its roots. Set each factor to 0 and then solve for x to obtain P(x) = 0. Make use of factoring to solve the polynomial equation. 0 should be entered for each factor. 2x4 = 0; (x - 6) = 0; (x + 1) = 0 For x, find the solution.

Though there are only 2 true roots, it is significant to notice this. Since the integer I appears in both of the last two roots of this equation, they are not real.

As long as there are x powers, there are an equal number of roots. The polynomial in this instance has 4 roots because there are 4 x's.

The complete question is,

Utilizing the factored form, ascertain the overall quantity of roots for each polynomial function. f (x) = (x + 2)(x - 1) (x - 1) [x - (4 + 3i)] [x - (4 - 3i)].

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The line segment joining the two midpoints is half the length of the third side, and said line segment is also parallel to the third side.

Answer: -2z + 5.4

Step-by-step explanation:

(−5z+17.6)−(−3z+12.2)

−5z+17.6+3z-12.2

−5z+3z+17.6-12.2

-2z + 5.4

These are the steps to the problem.

If you think the answer is correct, please mark me as the brain because it took time for me to find the solution.

Thank you!

Answer is $20.00

The cost for mowing lawns is typically based on the size of the lawn.

The costs listed above are for lawns of different sizes.

To determine the cost for one lawn mowed, you would need to know the size of the lawn.

If you are unsure, you could contact a local lawn mowing service and ask for a quote for mowing a lawn of a certain size.

The cost for one lawn mowed depends on the specific services that are being requested.

Generally,

     The cost for mowing a lawn ranges from $10 to $50, depending on           the size of the lawn and the complexity of the job.

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Quadratic equation with the given zeros in the vertex form can be expressed as:

Standard quadratic equation : ax² + bx + c = 0

By substituting h = -b/2a and k = ( 4ac - b² )/4a equation can be expressed in vertex form : a ( x - h )² + k =0.

As given in the question,

Standard quadratic equation is equal to :

ax² + bx + c = 0 __(1)

vertex form of the quadratic equation is given by :

a ( x - h )² + k =0 __(2)

Comparing equation ( 1 ) and ( 2 ) we get,

ax² + bx + c =  a ( x - h )² + k

⇒ ax² + bx + c = a ( x² - 2xh + h² ) + k

⇒ ax² + bx + c = ax² - 2axh + ah² + k

⇒ bx = -2axh  and c = ah² + k

⇒ h = -b /2a and k = c - ah²

⇒h = -b /2a and k = c -a(-b/2a)²

⇒h = -b /2a and k = (4ac -b²)/ 4a

Therefore, solving of quadratic equation with the zeros in the vertex form is given by :

Standard quadratic equation : ax² + bx + c = 0

By substituting h = -b/2a and k = ( 4ac - b² )/4a  equation can be expressed in vertex form : a ( x - h )² + k =0.

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