write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros. Write the function in standard form. -2,3,6

Answers:

5)

a.Highest- 96

Lowest-52

b.74

c. 70-80

d. 13

e. 7

6)

a. 89%

b. 51%

c. In the morning(89%)

The value οf the variable y is 9 when k is -3 in the given question.

In mathematics and statistics, a variable is a quantity οr a characteristic that can take οn different values οr attributes. Variables can be classified as either quantitative οr categοrical, depending οn the type οf data they represent.

A quantitative variable is a variable that represents a numerical measurement οr quantity. Examples οf quantitative variables include height, weight, temperature, and incοme.

A categοrical variable is a variable that represents a grοup οr categοry. Examples οf categοrical variables include gender, race, and type οf car.

Given: y=k x

where, x= -3 and k= -3

we can find the value of y by multiplying k with x,

so, y=k x

now, putting values as follows:

we get, y = -3 × -3

               = 9

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Answer:

Current Ratio

Step-by-step explanation:

The current ratio is a liquidity ratio that measures how able a company is to pay short-term obligations, or current liabilities, with its current assets.

The formula is \(Current\:Ratio=\frac{Current\:Assets}{Current\:Liabilities}\)

Answer:

first graph

Step-by-step explanation:

x > n

the graph will have an open circle at the value n , indicating that x cannot equal n ( note solid circle if x ≥ n )

the arrow from n will point in the right direction, indicating values of x greater than n.

the graph representing x > n is the first graph

Answer:

I think its B 36° its an acute angle

Answer:

84

Step-by-step explanation:

∠ABE° = 90  - 30 = 60

∠BFC° = 180 - 144 = 36

60 + 36 = 96

∠BEF° = 180 - 96 = 84

Answer:

409

Step-by-step explanation:

276+133

ans=409

Answer:

w=143

Step-by-step explanation:

133=276-w Subtract 276 from both sides

-143=-w Divide by - 1

143=w

Sadly the question is incomplete, so we can not see the described transformation of the parent function, thus we can't see the error in that description.

What we can do is describe the transformation shown here.

Here we can see the parent function:

f(x) = x^2

This function opens upwards, so what we see in the graph is this function reflected across the horizontal axis (the x-axis). So the transformation is just a reflection across the x-axis.

(notice that it passes through (-1, -1) and (1, -1), so there is no dilation nor contraction)

For a general function f(x), a reflection across the x-axis is just:

g(x) = -f(x)

So here the transformed function is:

g(x) = - x^2

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Answer:

The magnitude of the vector is 9.165 and it's direction is 40.6°

Step-by-step explanation:

A vector quantity is a quantity that has both size (magnitude) and direction. Examples of vector quantities are force, velocity and impulse.

Magnitude of vector v is given by

|v| = √6²+7²

= √36+49

= √84

= 9.165

Direction of vector v is obtained by:

\( \tan( \theta) = \frac{x}{y} \)

\(\theta = {tan}^{ - 1} ( \frac{6}{7}) \)

\(\theta = {40.6°}\)

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Answer:

He spent $15

Step-by-step explanation:

3 x 4.25 = $12.75

3 x 0.75 = $2.25

Add them together

12.75 + 2.25 = $15

Answer:

\(\csc A = \dfrac{\sqrt{41}}{5}\)

Step-by-step explanation:

To find the exact value of csc A in simplest radical form using a rational denominator, we can use the reciprocal identities of secant and cosecant:

\(\boxed{\sec A = \dfrac{1}{\cos A}}\;\;\;\boxed{\text{csc} A = \dfrac{1}{\sin A}}\)

Given sec A = √(41)/4, we can use the definition of secant as the reciprocal of cosine to find the value of cos A:

\(\cos A=\dfrac{1}{\sec A}=\dfrac{1}{\frac{\sqrt{41}}{4}}=\dfrac{4}{\sqrt{41}}\)

Since angle A is in Quadrant I, both sin A and cos A are positive.

Now we can substitute the value of cos A into the trigonometric identity to find sin A:

    \(\sin^2 A + \cos^2 A = 1\)

\(\sin^2 A + \left(\dfrac{4}{\sqrt{41}}\right)^2 = 1\)

         \(\sin^2 A + \dfrac{16}{41} = 1\)

                  \(\sin^2 A = 1-\dfrac{16}{41}\)

                  \(\sin^2 A =\dfrac{25}{41}\)

                    \(\sin A=\sqrt{\dfrac{25}{41}}\)

                    \(\sin A=\dfrac{5}{\sqrt{41}}\)

Finally, we can substitute the value of sin A into the reciprocal identity to find csc A:

\(\text{csc} A = \dfrac{1}{\sin A} = \dfrac{1}{\frac{5}{\sqrt{41}}} = \dfrac{\sqrt{41}}{5}\)

Therefore, the exact value of csc A in simplest radical form with a rational denominator is:

\(\boxed{\csc A = \dfrac{\sqrt{41}}{5}}\)

Answer:

6

Step-by-step explanation:

-15+6 means it goes minus basically its 15-6(-15+6)=-9

Answer:

n=24

Step-by-step explanation:

First add 15 to the right side equaling 24. Therefore n=24

Answer:

\(( - 2) + ( - 1) + ( - 5) + ( + 6) \\ = - 2 - 1 - 5 + 6 \\ = - 8 + 6 \\ = - 2 \\ thank \: you\)

The value of 14.5% of 1,800 is 261 by using the concept of percentage.

In mathematics, a percentage is a value or ratio expressed as a fraction of 100.

The term percent is derived from the Latin per centum, which means "hundred" or "by the hundred." The sign for "percent" comes from the Italian expression per cento, which means "for a hundred." The "per" was frequently shortened as "p." and finally disappeared entirely. The "cento" was reduced to two circles divided by a horizontal line, from which the present "%" symbol was derived.

A % is a relative figure that indicates one-tenth of a quantity. One percent (symbolized 1%) is the one-hundredth part; consequently, 100 percent denotes the complete amount, and 200 percent specifies twice the supplied amount.

Given,

14.5% of 1,800

=(14.5/100)×1800

=261

Therefore, the answer is 261.

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Answer:

Matt ran 6 miles.

Step-by-step explanation:

Stan ran 4 and 7/10 miles, and this is 1 and 3/10 fewer miles than Matt.

this means that Matt ran the following amount of miles

4 and 7/|0 + 1 and 3/10 miles:

(4 + 1) + (7/10 + 3/10) = 5 + 10/10 = 6 miles.

This would be the correct way to solve this equation.

Answer:

$13,000

Step-by-step explanation:

3/5 x T = 7800

T = 7800 x 5/3

  = 2600 x 5

  = $13,000

BRAINLIEST.

DUH.

Answer:

13000

Step-by-step explanation:

let the total cost of the truck = x

so, 3/5 of x = $7800

3x/5 = $7800

3x = $7800 × 5

3x = $39000

x = $39000/3

x = $13,000

y = 6x + 30

To find x, substitute y = 0

Therefore,

0 = 6x + 30

-30 = 6x

x = -5

-5 is the depth

April bought 16 kilograms of soil in total.

We need to add the amounts of soil she used for her violets and tulips. Since April used kilograms for violets and tulips, we need to convert the 3,000 grams to kilograms before we can add them up.

April bought:

9 kilograms of soil for violets

4 kilograms of soil for tulips

3 kilograms of soil for daisies (since 3,000 grams is 3 kilograms)

Therefore, April bought 16 kilograms of soil in total.

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Answer:

158.2 mm^2

Step-by-step explanation:

You can think of this figure as a rectangle in which a triangle from the bottom was moved to the top.

The area of the figure is the area of the rectangle.

A = LW = 14 mm * 11.3 mm = 158.2 mm^2

Answer:

B) \(4i\sqrt{2}\)

Step-by-step explanation:

\(\sqrt{-2}=i\sqrt{2}\\\sqrt{-18}=i\sqrt{18}=i\sqrt{9*2}=3i\sqrt{2}\\\\\sqrt{-2}+\sqrt{-18}=i\sqrt{2}+3i\sqrt{2}=4i\sqrt{2}\)

Answer:

Step-by-step explanation:

x+9

Let x, be 4

4+9=13

given condition,

x+9<4x

4+9<4(4)

13<16

The answer is:

Work/explanation:

Our inequality is:

\(\sf{x+9 < 4x}\)

Flip it

\(\sf{4x > x+9}\)

Solve

\(\sf{4x-x > 9}\)

Combine like terms

\(\sf{3x > 9}\)

Divide each side by 3

\(\sf{x > 3}\)

Answer:

1.

2.

3.

4.

5.

6.

7.

8.

9.

10!!

Step-by-step explanation:

Answer:

Step-by-step explanation:

23/40 = 0.575

Answer:

y/2

Step-by-step explanation:

x/3 + 3/3 = y/2 + 2/2

x/3 + 1 = y/2 + 1

x/3 = y/2

The pair of numbers that yields the maximum product when their sum is 24 is (12, 12), and the maximum product is 144. The corresponding quadratic function is P(x) = -x^2 + 24x, and the parabola opens downwards.

To find a pair of numbers whose sum is 24 and whose product is as large as possible, we can use the concept of maximizing a quadratic function.

Let's denote the two numbers as x and y. We know that x + y = 24. We want to maximize the product xy.

To solve this problem, we can rewrite the equation x + y = 24 as y = 24 - x. Now we can express the product xy in terms of a single variable, x:

P(x) = x(24 - x)

This equation represents a quadratic function. To find the maximum value of the product, we need to determine the vertex of the parabola.

The quadratic function can be rewritten as P(x) = -x^2 + 24x. We recognize that the coefficient of x^2 is negative, which means the parabola opens downwards.

To find the vertex of the parabola, we can use the formula x = -b / (2a), where a = -1 and b = 24. Plugging in these values, we get x = -24 / (2 * -1) = 12.

Substituting the value of x into the equation y = 24 - x, we find y = 24 - 12 = 12.

So the pair of numbers that yields the maximum product is (12, 12). The maximum product is obtained by evaluating the quadratic function at the vertex: P(12) = 12(24 - 12) = 12(12) = 144.

Therefore, the maximum product is 144. This quadratic function has a maximum value because the parabola opens downwards.

To graph the function, you can plot several points and connect them to form a parabolic shape. Here is an uploaded image of the graph of the quadratic function: [Image: Parabola Graph]

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Answer:

$5.49

Step-by-step explanation:

21.96 / 4

You will get you unit price after you do that

Therefore, the Left Riemann Sum for this function, interval, and number of subintervals is 50.

The top-left corner of these rectangles touched the y=f(x) curve. In other words, the value of f at the subinterval's left endpoint determined the height of the rectangle over that subinterval. This technique is called the left-endpoint estimate because of this.

With left endpoints and n = 5 subintervals, we may use the Left Riemann Sum formula to approximate the area under the curve of f(x) = x2 + 4 over the range [0, 5]:

Left Riemann Sum = ∑[i=1 to n] f(x_i-1) Δx

In this case, a = 0, b = 5, n = 5, and we will use the left endpoints, so:

Δx = (5 - 0)/5 = 1

Using the left endpoints, the subintervals and their left endpoints are:

[0,1],[1,2],[2,3],[3,4],[4,5]

\(so,\; x_0 = 0, x_1 = 1, x_2 = 2, x_3 = 3, x_4 = 4.\)

Now we can calculate the Left Riemann Sum:

Left Riemann Sum= \(f(x_0)\Delta x + f(x_1)\Deltax + f(x_2)\Deltax + f(x_3)\Deltax + f(x_4)\Deltax\)

= f(0)×1+f(1)×1+f(2)×1+f(3)×1 + f(4)×1

= 4+5+8+13+20

= 50

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Answer:

To calculate 2 3/4 of 500 grams, follow these steps:

1. Convert the mixed number to an improper fraction:

2 3/4 = (2 x 4 + 3)/4 = 11/4

2. Multiply the improper fraction by 500:

11/4 x 500 = (11 x 500)/4 = 2,750/4

3. Simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 2:

2,750/4 = (2 x 1,375)/(2 x 2) = 1,375/2

Therefore, 2 3/4 of 500 grams is equal to 1,375/2 grams or 687.5 grams.

Step-by-step explanation: