y=2x2+3 is this a linear or nonlinear function

Answer:

Option C: 45 degrees

Step-by-step explanation:

edge2021

Answer:

C) 45°

Step-by-step explanation:

Answer:

b its a trinominal with a degree of 2

The polynomial, 3x - 4 + 5x², is a trinomial with a degree of 2.

An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial.

Given:

We have the polynomial,

3x - 4 + 5x²

To find the degree of a polynomial:

We take the highest powered variable, and the order of that variable is equal to the degree of the polynomial.

Here, the highest power is 2.

So, the degree is 2.

And the polynomial has three terms.

So, the polynomial is trinomial.

Therefore, it is a trinomial with a degree of 2.

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Answer:

3rd option

Step-by-step explanation:

Given z is inversely proportional to (y - 2)² then the equation relating them is

z = \(\frac{k}{(y-2)^2}\) ← k is the constant of proportion

To find k use the condition when y = 5, z = 9 , then

9 = \(\frac{k}{(5-2)^2}\) = \(\frac{k}{3^2}\) = \(\frac{k}{9}\) ( multiply both sides by 9 )

81 = k

z = \(\frac{81}{(y-2)^2}\) ← equation of proportion

Answer:

1 +4

Step-by-step explanation:

-1+2= 1

-2-2=-4

1--4=1+4

Answer:

"The expression represents a cubic polynomial with 3 terms. The constant term is -10, the leading degree is 3, and the leading coefficient is (-1/6)"

Step-by-step explanation:

We have the expression:

\(-\frac{x^3}{6} - 10 + x\)

First, what does that expression represents?

As al the powers of x are positive numbers, we can see that this is a polynomial, and the largest power is 3, so this is a polynomial of degree 3, also called a cubic polynomial.

How many terms are there?

The terms are the things separated by + or - symbols, is easy to see that there are 3 terms.

What is the constant term?

The constant term is the term where the variable, x, does not appear, here the constant term is: -10

What is the leading coefficient?

The leading coefficient is the coefficient that multiplies the term with the largest power of x, in this case, we can rewrite:

\(-\frac{x^3}{6} -10 + x = (\frac{-1}{6})*x^3 - 10 + x\)

the leading coefficient is:

(-1/6)

There is a part of the statement that I can't read, i suppose that there says:

"leading degree"

this is just the largest power of x that appears in the polynomial, in this case, is 3.

Then the complete statement is:

"The expression represents a cubic polynomial with 3 terms. The constant term is -10, the leading degree is 3, and the leading coefficient is (-1/6)"

Answer:

I dont speak Spanish, sorry

Answer: To solve the problem, we need to use the given time to find Michaela's swimming rate in meters per second, and then use that rate to calculate the distance she will swim in 10 minutes.

1 minute = 60 seconds

4 minutes and 50 seconds = 4 x 60 + 50 = 290 seconds

So, Michaela's rate is:

distance / time = x / 290 seconds

where x is the distance she can swim in 290 seconds.

Simplifying the equation:

x = distance = (time x distance) / time = (290 seconds x distance) / 290 seconds = distance

We know that Michaela can swim 500 meters in 290 seconds:

500 meters / 290 seconds = 1.724 meters per second

Therefore, in 10 minutes (600 seconds), she will swim:

distance = rate x time = 1.724 meters/second x 600 seconds = 1034.4 meters

So, Michaela will swim 1034.4 meters in 10 minutes.

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

heres a model

A ----------R---------D

A ----?-----R----8---D

A----------15----------D

15 - 8 = 7

AR = 7

A five-question quiz with 4-choice multiple-choice questions can be answered in a total of 4^5 = 1,024 ways.

Each question has four choices, and since there are five independent questions, we multiply the number of choices for each question together to obtain the total number of ways to answer the quiz. Therefore, there are 1,024 possible combinations of answers for the quiz.

For each of the five questions on the quiz, there are four possible choices. This means that for each question, we have four options to choose from. Since the questions are independent, the total number of ways to answer the quiz is obtained by multiplying the number of choices for each question together.

Since there are five questions in total, and each question has four choices, we calculate the total number of ways as follows:

4 * 4 * 4 * 4 * 4 = 4^5 = 1,024.

Therefore, there are 1,024 different ways to answer the five-question quiz with 4-choice multiple-choice questions.

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The cube root of 60 is 3.87 approximately.

Step by step solution:

We can calculate the cube root by Halley's method:

The  formula is \(\sqrt[3]{a} = x ((x^{3} + 2a)/(2x^{3} + a))\)

where,

a = number whose cube root is being calculated

x = integer guess of its cube root.

Here a = 60,

Suppose x as 3

[∵ 3³ = 27 and 27 is the nearest perfect cube that is less than 60]

⇒ x = 3

Therefore,

∛60 = 3 (3³ + 2 × 60)/(2 × 3³ + 60)) = 3.87

⇒ ∛60 ≈ 3.87

Therefore, the cube root of 60 is 3.87 approximately.

Here ,  ∛60 is irrational because it cannot be expressed in the form of p/q where q ≠ 0.

Therefore, the value of the cube root of 60 is an irrational number.

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1) Given that an oatmeal cookie has these proportions, let's set a pair of ratios to get that:

Answer:

B

Step-by-step explanation:

When you factorize the x2-15x+36 there will be two x, one 36, and - 15x so correct Answer is b

A. To save for her payout annuity with an ordinary annuity set up thirty years before her retirement, Holly Krech must make a monthly payment of $175.97.

B. If she sets up the ordinary annuity twenty years before her retirement, Holly Krech must make a monthly payment of $432.00.

To calculate the monthly payment for an ordinary annuity set up thirty years before retirement, we can use the formula for the present value of an ordinary annuity. Given the deposit amount of $218,437.048 and the total amount received from the annuity of $432,000, and solving for the monthly payment, we find that Holly must make a monthly payment of $175.97.

For an ordinary annuity set up twenty years before retirement, we use the same formula for present value. With the deposit amount and total amount received unchanged, we solve for the monthly payment, which comes out to be $432.00.

It's important to note that the monthly payment increases when the annuity is set up closer to the retirement date. This is due to the shorter time period available for saving, resulting in a higher required contribution to reach the desired payout amount.

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Answer:

(-4,-1)

Step-by-step explanation:

Look at where the lines on the graph intersect, then find the point.

Answer:

(-4, -1) I believe I'm not 100% Sure it has been a while since I have done graphs

I'm sorry if it is wrong

The margin of error is approximately $18.35, and the 99% confidence interval for the population mean repair cost is ($56.65, $93.35). This means we are 99% confident that the true population mean repair cost falls within this interval.

To calculate the margin of error, we use the formula: Margin of Error = t × (standard deviation / √n), where t is the critical value for the desired confidence level, standard deviation is the sample standard deviation, and n is the sample size.

With a sample mean repair cost of $75.00 and a standard deviation of $11.50, and a sample size of 6, we need to determine the critical value associated with a 99% confidence level. Since the sample size is small (n < 30), we use a t-distribution instead of a z-distribution.

Using the t-distribution with (n-1) degrees of freedom, where n is the sample size, and a confidence level of 99%, we find the critical value to be approximately 3.707.

Next, we calculate the margin of error: Margin of Error = 3.707 × (11.50 / √6) ≈ 18.35.

To construct the 99% confidence interval, we take the sample mean and add/subtract the margin of error: 75.00 ± 18.35. This gives us a confidence interval of approximately (56.65, 93.35).

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The red sweets were 180 and the purple sweets were 135. The solution has been obtained b y using the concept of ratios.

What are ratios?

Comparing or condensing two similar data results in a ratio. We can determine how many times one quantity is equal to another by looking at the reciprocity of the relationship. A ratio is a number that can be used to express one thing as a percentage of another, to put it simply.

Let the total sweets be 'x'.

We are given that the ratio of purple sweets to red sweets in a jar was 3:4 and the ratio changes to 5:4 when 40 of the red sweets were eaten.

Total red sweets = (x/7)*4 = 4x/7

After 40 sweets are eaten,

Total red sweets = 4x/9

From this, we frame the equation as

⇒4x/7 - 40 = 4x/9

On solving the equation, we get

⇒4x/7 - 40 = 4x/9

⇒(4x - 280)/7 = 4x/9

⇒(4x - 280)*9 = 4x*7

⇒36x - 2520 = 28x

⇒8x = 2520

⇒x = 315

Since, the total sweets are 315.

So,

Red sweets = 4*315/7 = 180

Purple sweets = 3*315/7 = 135

Hence, the red sweets were 180 and the purple sweets were 135.

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Answer:

1= 112°

3= 68°

4= 22°

5= 90°

Step-by-step explanation:

comment if u need explanation :)

Solids can be "unfolded" to form different net arrangements is a true statement.

A net refers to a flat, two-dimensional shape that can be transformed or manipulated to form a three-dimensional object. A solid has the potential to create a variety of nets through various unfolding methods.

The term "net" for a solid refers to a flat shape that can be folded to form the solid object. it is possible to manipulate a three-dimensional object in various manners in order to produce distinct two-dimensional patterns. One can create various nets by cutting different edges of a cube and arranging the resultant faces.

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Answer:1

Step-by-step explanation:u don't need one

The slope of the line through C(2, 5) and D(4,7) will be 1.

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The slope of the line is given as,

m = (y₂ - y₁) / (x₂ - x₁)

Then the slope of the line through C(2, 5) and D(4,7) will be given as,

m = (y₂ - y₁) / (x₂ - x₁)

m = (7 - 5) / (4 - 2)

m = 2 / 2

m = 1

Thus, the slope of the line through C(2, 5) and D(4,7) will be 1.

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The maximum area that can be enclosed with 480 yards of fencing. is 28,530.5 square yards.

Let the length of the rectangular pen be denoted by L and its width be denoted by W.

From the problem statement, we know that the total length of fencing available is 480 yards. We can express this as an equation:

2L + W + 2 = 480

where the additional 2 is for the fence across the width.

Simplifying this equation, we get:

2L + W = 478

We want to find the maximum area that can be enclosed with this amount of fencing. The area of a rectangle is given by:

A = L × W

We can use the equation 2L + W = 478 to solve for one of the variables in terms of the other. For example, we can solve for W:

W = 478 - 2L

Substituting this expression for W into the equation for the area, we get:

A = L × (478 - 2L)

Simplifying this expression, we get:

A = 478L - 2L^2

To find the maximum area, we need to take the derivative of this expression with respect to L, set it equal to zero, and solve for L.

dA/dL = 478 - 4L

Setting this equal to zero and solving for L, we get:

478 - 4L = 0

L = 119.5

Substituting this value of L back into the equation for W, we get:

W = 478 - 2(119.5) = 239

Therefore, the dimensions of the rectangular pen that maximize the area are:

Length = 119.5 yards

Width = 239 yards

And the maximum area that can be enclosed with 480 yards of fencing is:

A = L × W = 119.5 × 239 = 28,530.5 square yards.

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Profitability index is 1.387. Thus, the correct option is (c) 1.387.

The formula for calculating the profitability index is:

P.I = PV of Future Cash Flows / Initial Investment

Where,

P.I is the profitability index

PV is the present value of future cash flows

The initial investment in the project is $30 million. The cash flow at the end of the first year is $2.85 million.

The present value of cash flows can be calculated using the formula:

PV = CF / (1 + r)ⁿ

Where,

PV is the present value of cash flows

CF is the cash flow in the given period

r is the discount rate

n is the number of periods

For the first-year cash flow, n = 1, CF = $2.85 million, and r = 11%.

Substituting the values, we get:

PV = 2.85 / (1 + 0.11)¹ = $2.56 million

To calculate the present value of all future cash flows, we can use the formula:

PV = CF / (r - g)

Where,

PV is the present value of cash flows

CF is the cash flow in the given period

r is the discount rate

g is the constant growth rate

For the subsequent years, CF = $2.85 million, r = 11%, and g = 3.85%.

Substituting the values, we get:

PV = 2.85 / (0.11 - 0.0385) = $39.90 million

The total present value of cash flows is the sum of the present value of the first-year cash flow and the present value of all future cash flows.

PV of future cash flows = $39.90 million + $2.56 million = $42.46 million

Profitability index (P.I) = PV of future cash flows / Initial investment

= 42.46 / 30

= 1.387

Therefore, the correct option is (c) 1.387.

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Answer:18

Step-by-step explanation:

Answer:18

Step-by-step explanation:

Answer:

Step 1!

Step-by-step explanation:

I dont know if this is correct but she is supposed to add the numbers on top for a new top number in step two.

( 9 + 2(the top number) x 4)

Hope this helps!

Sorry if its wrong :(

Answer:

step 2................

Answer: O A. f-¹(x)=√x - 2 + 3

Step-by-step explanation: ( x ) = 3 x + 2 f(x)=3x+2 f(x)=3x+2f, left parenthesis, x, right parenthesis, equals, 3, x, plus, 2.

1. The measure of AC = 8.4

2. The measure of AC' = 6

3. The measure of C'B' = 12.6

Lines in a plane that are consistently spaced apart are known as parallel lines. Parallel lines don't cross each other.

Given:

Segment B'C' is parallel to segment BC.

A line splits a triangle's sides in the same proportion if it runs parallel to one side and crosses the other sides at two different spots.

Then,

10/4 = 6/x

x = 2.4

The measure of AC = 2.4

And,

14/8.4 = 21/y

y = 12.6

The measure of C'B' = 12.6

Therefore, all the required values are given above.

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9514 1404 393

Answer:

  6.  A

  7.  C

  8.  E

Step-by-step explanation:

6. If s is the number of programs sold for $0.45 each, then the contribution to Devon's pay (p) from selling programs is 0.45s. The per-game pay is added to that to give Devon's total pay:

  p = 0.45s + 40 . . . . . matches choice A

__

7. If Robert earns $25 per hour for x hours in tips, his tip pay is 25x. The flat rate is added to that to give the amount Robert makes:

  y = 25x + 40 . . . . . matches choice C

__

8. The graph of a proportional relationship is a straight line through the origin. This description matches B and C only, choice E.

Answer:

it's 20m² I think or it's 28m²