find a quadratic polynomial whose sum and and product is -7 and -2

Answer:  A

Step-by-step explanation:

When multiplying: Numbers multiply with numbers and for the x's, add the exponents

If there is no exponent, you can assume an imaginary 1 is the exponent

2x⁴ (3x³ − x² + 4x)

= 6x⁷ -2x⁶ + 8x⁵

Answer:

A. \(6x^{7} - 2x^{6} + 8x^{5}\)

Label the parts of the expression:

Outside the parentheses = \(2x^{4}\)

Inside parentheses = \(3x^{3} -x^{2} + 4x\)

You must distribute what is outside the parentheses with all the values inside the parentheses. Distribution means that you multiply what is outside the parentheses with each value inside the parentheses

\(2x^{4}\) × \(3x^{3}\)

\(2x^{4}\) × \(-x^{2}\)

\(2x^{4}\) × \(4x\)

First, multiply the whole numbers of each value before the variables

2 x 3 = 6

2 x -1 = -2

2 x 4 = 8

Now you have:

6\(x^{4}x^{3}\)

-2\(x^{4}x^{2}\)

8\(x^{4} x\)

When you multiply exponents together, you multiply the bases as normal and add the exponents together

\(6x^{4+3}\) = \(6x^{7}\)

\(-2x^{4+2}\) = \(-2x^{6}\)

\(8x^{4+1}\) = \(8x^{5}\)

Put the numbers given above into an expression:

\(6x^{7} -2x^{6} +8x^{5}\)

distribution

variable

like exponents

Since the provided equation is inconsistent, it cannot intersect.

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 equations 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,

we can see that the second set of equation,

4x+2y=12

20x+10y=30

4/20=2/10≠12/30

1/5=1/5≠2/5

The given equation is inconsistent so it does not intersect.

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Answer:

20%

Step-by-step explanation:

30:6=5

yellow apples - 1/5 of 30

20x5=100

20%/30=6

Answer:

x= 3

y=0

Step-by-step explanation:

y = -x + 3

y = 2x - 6

-x + 3 = 2x -6

3 + 6 = 2x + x

9 = 3x

3 = x

y = -3 + 3

y = 0

Answer:

(3,0)

Step-by-step explanation:

Claire experiences apprehension and fear during the anticipatory socialization phase of socialization when her boss proposes putting her on a task force at work, due to her negative group experiences in college.

Anticipatory socialization is the phase in the socialization process where individuals anticipate and prepare for their future roles and experiences in a particular social group or setting.

It involves forming expectations, attitudes, and behaviors based on past experiences and knowledge.

In Claire's case, her negative group experiences in college, where she often ended up doing most of the work and faced poor communication within the group, have shaped her expectations and attitudes towards group work.

As a result, when her boss proposes putting her on a task force at work, Claire immediately feels apprehensive and fearful.

She anticipates that she may face similar challenges, such as an uneven distribution of workload and ineffective communication, which could negatively impact her experience in the task force.

During the anticipatory socialization phase, individuals rely on their past experiences and perceptions to anticipate what they may encounter in a new social setting.

Claire's negative group experiences in college have influenced her apprehension and fear, as she expects the same difficulties to arise in the task force at work.

These emotions and concerns may impact her willingness to fully engage in the new group and could influence her interactions and behavior within the task force.

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The root of the equation sinx = 2x-3 is 0.8401 (approx).

Given equation is sinx = 2x-3

We need to solve this equation using false position method.

False position method is also known as the regula falsi method.

It is an iterative method used to solve nonlinear equations.

The method is based on the intermediate value theorem.

False position method is a modified version of the bisection method.

The following steps are followed to solve the given equation using the false position method:

1. We will take the end points of the interval a and b in such a way that f(a) and f(b) have opposite signs.

Here, f(x) = sinx - 2x + 3.

2. Calculate the value of c using the following formula: c = [(a*f(b)) - (b*f(a))] / (f(b) - f(a))

3. Evaluate the function at point c and find the sign of f(c).

4. If f(c) is positive, then the root lies between a and c. So, we replace b with c. If f(c) is negative, then the root lies between c and b. So, we replace a with c.

5. Repeat the steps 2 to 4 until we obtain the required accuracy.

Let's solve the given equation using the false position method.

We will take a = 0 and b = 1 because f(0) = 3 and f(1) = -0.1585 have opposite signs.

So, the root lies between 0 and 1.

The calculation is shown in the attached image below.

Therefore, the root of the equation sinx = 2x-3 is 0.8401 (approx).

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The group who has the largest percentage of people who prefer to travel by automobile is given as follows:

Adult.

A bar graph, also known as a bar chart, is a type of graph used to represent and compare data. It consists of rectangular bars of equal width and varying heights, where the height of each bar represents the value of the data being graphed.

Automobiles are represented by the green bars, hence we must observe the input for which the green bar has the largest value, which is for adults, hence adults compose the largest percentage of people who prefer to travel by automobile.

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Answer:

sunflower , fern ,rose, and plant

Answer:

the answers 200

Step-by-step explanation:

Answer:

200$

Step-by-step explanation:

for 1 year it will charge 100$ and if you rent 20 toys in that year the toys will cost 100$ as well so if you add 100+100 you get 200 so the answer is 200$

A number cube has six numbers, from 1 to 6, with one number on each face.

Since the number cube is fair, the probability of each number being rolled is the same.

So, to find the probability of one specific number being rolled, we just need to divide 1 by the total amount of numbers:

The probability of rolling a 2 is the same as rolling any other number, therefore the probability is 1/6.

Answer:

49.7 mph

Step-by-step explanation:

divide the length value by 1.609

Answer:

($8.16 is the taxes) ($110 is how much she paid without taxes)

Step-by-step explanation:

Susie bought 4 pairs of pants. Her total bill, including tax was

$110.16. If each pair of pants cost $25.50 before tax was added,

what tax rate did Susie pay on the pants?

Susie buys 4 pairs of pants. And individually each pair costed $25.50. What I did was multiply 25.50 by 4, and I got 102. Now subtract the 110.16 and 102 and u get 8.16 which that's the taxes.

The equivalent percent for (45)/(67) is approximately 67.2% when rounded to the nearest tenth of a percent.

To find the equivalent percent for the fraction (45)/(67):

Convert the fraction to a decimal and then convert the decimal to a percent.

Convert the fraction to a decimal:

Divide the numerator (45) by the denominator (67):

(45)/(67) = 0.6716417910447761

The result is a decimal that extends beyond the usual two decimal places.

Convert the decimal to a percent:

To convert the decimal to a percent, multiply it by 100.

0.6716417910447761 * 100 = 67.1641791044776

The decimal multiplied by 100 gives us the equivalent percent.

Round to the nearest tenth of a percent:

When rounding to the nearest tenth of a percent, we look at the digit in the hundredth place. If it is 5 or greater, we round up; if it is less than 5, we round down.

In this case, the digit in the hundredth place is 6, so we round up.

Therefore, rounding 67.1641791044776 to the nearest tenth of a percent gives us 67.2%.

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a. To find the present value at t=10, we need to calculate the value of f(t) at t=10. Using the given function f(t) = 500e^(0.04t), we substitute t=10 into the equation:

\(\displaystyle \text{Present value} = f(10) = 500e^{0.04(10)}\)

Simplifying the exponent:

\(\displaystyle \text{Present value} = 500e^{0.4}\)

Evaluating the exponent:

\(\displaystyle \text{Present value} = 500(2.71828^{0.4})\)

Calculating the value inside the parentheses:

\(\displaystyle \text{Present value} = 500(1.49182)\)

Calculating the product:

\(\displaystyle \text{Present value} \approx 745.91\)

Therefore, the present value at t=10 is approximately $745.91.

b. To find the accumulated money flow at t=10, we need to calculate the integral of f(t) from 0 to 10. Using the given function f(t) = 500e^(0.04t), we integrate the function with respect to t:

\(\displaystyle \text{Accumulated money flow} = \int_{0}^{10} 500e^{0.04t} dt\)

Integrating:

\(\displaystyle \text{Accumulated money flow} = 500 \int_{0}^{10} e^{0.04t} dt\)

Using the properties of exponential functions, we can evaluate the integral:

\(\displaystyle \text{Accumulated money flow} = 500 \left[ \frac{{e^{0.04t}}}{{0.04}} \right]_{0}^{10}\)

Simplifying:

\(\displaystyle \text{Accumulated money flow} = 500 \left( \frac{{e^{0.4}}}{{0.04}} - \frac{{e^{0}}}{{0.04}} \right)\)

Calculating the exponential terms:

\(\displaystyle \text{Accumulated money flow} = 500 \left( \frac{{e^{0.4}}}{{0.04}} - \frac{1}{{0.04}} \right)\)

Evaluating the exponential term:

\(\displaystyle \text{Accumulated money flow} = 500 \left( \frac{{1.49182}}{{0.04}} - \frac{1}{{0.04}} \right)\)

Calculating the subtraction:

\(\displaystyle \text{Accumulated money flow} = 500 \left( \frac{{1.49182 - 1}}{{0.04}} \right)\)

Calculating the division:

\(\displaystyle \text{Accumulated money flow} = 500 \times 12.2955\)

Calculating the product:

\(\displaystyle \text{Accumulated money flow} \approx 6147.75\)

Therefore, the accumulated money flow at t=10 is approximately $6147.75.

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♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

59

Step-by-step explanation:

7 × 5 = 35

6 × 4 = 24

35 + 24 = 59

because 4 + 5 is 9 and 3 + 2 is 5

so 59

Answer:

59

Step-by-step explanation:

Follow PEMDAS

P=Parenthesis

E=Exponents

M=Multiplication

D=Division

A=Addition

S=Subtracting

So, multiply 7 times 5, then add 6 times 4.

35+24=59

Answer:

0.41

Step-by-step explanation:

to make a fraction into a decimal you just divide the numerator by the

denominator.

and the numerator is the part of a fraction that is above the line

denominator is at the bottom

so 7 / 17 = 0.41 that means

7/17 in decimal form is 0.41

Hope This Helped

Answer:

7/17 is equal to 41176470588...

Step-by-step explanation:

This is called a never ending decimal. Hope this helps! :)

The perimeter of the smaller square is 12 units.

The area of a square is equal to the side length of the square squared. Therefore, the difference in area between two squares is equal to the difference in the side lengths of the squares squared. Since the difference in area between the two squares is 100 square units and the side lengths of the squares differ by 1 unit, we can set up the equation (x + 1)^2 - x^2 = 100, where x is the side length of the smaller square.

Expanding the right side of the equation and solving for x, we find that x = 3. The perimeter of a square is equal to the side length multiplied by 4, so the perimeter of the smaller square is 3 * 4 = 12 units.

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The number 5 will be placed in the middle.

In order to make the sums across and down equal, we have to arrange the numbers in such a way that they balance each other out. We know that the middle number will be the average of the four numbers surrounding it.

So, if we place 2 and 8 on either side of the middle number, the sum of these two numbers is 10. To make the sum equal, we need two more numbers that add up to 10. The only two numbers that fit the criteria are 4 and 6.

Hence, the middle number will be the average of 4 and 6, which is 5. So, the answer is 5.

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--The given question is incomplete; the complete question is

"Place the numbers 2, 4, 5, 6, and 8 in the circles so that the sums across (horizontally) and down (vertically) are equal. Which number will you place in the middle?"--

The survival time of a 60kg deer without food at -20 degrees Celsius depends on various factors, including its age, sex, and physical condition. However, assuming the deer is healthy and has 5kg of fat, it could potentially survive for around 30 to 50 days without food.

The exact survival time can vary depending on several factors, such as the deer's level of physical activity, environmental conditions, and how much energy it is expending to stay warm in the cold temperature. Additionally, if the deer is able to find sources of water, this can also increase its chances of survival.

It's important to note that this is just an estimate and that the actual survival time may vary. If the deer is injured or sick, its chances of survival may be reduced, and it may not be able to survive as long without food.

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Complete Question

How many days could a 60kg deer survive without food at -20 degrees Celsius if it has 5kg of fat?

Answer:

x = 1

Step-by-step explanation:

f(x) = g(x) , substitute values

3x - 4 = - 2x + 1 ( add 2x to both sides )

5x - 4 = 1 ( add 4 to both sides )

5x = 5 ( divide both sides by 5 )

x = 1

The length of the straight line calculated between school and the fire station is equal to  4.6 miles ( nearest tenth ).

Location of town hall is 4.3 miles directly east of the middle school.

Location of fire station is 1.7 miles directly north of town hall.

To find the length of the straight line between the school and the fire station,

Apply the Pythagorean theorem,

Which states that in a right triangle the square of the length of the hypotenuse the longest side is equal to the sum of the squares of the lengths of the other two sides.

In this case, the distance between the school and Town Hall, and the distance between Town Hall and the fire station form a right triangle,

So, we can calculate the length of the hypotenuse as,

√(4.3² + 1.7²)

≈ √(18.49 + 2.89)

≈ √21.38

≈ 4.62

≈ 4.6 miles ( Rounding to the nearest tenth)

Therefore, the length of the straight line between the school and the fire station is approximately 4.6 miles.

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The above question is incomplete, the complete question is:

Town Hall is located 4.3 miles directly east of the middle school. The fire station is located 1.7 miles directly north of Town Hall. What is the length of a straight line between the school and the fire station? Round to the nearest tenth.

The area of the triangle with the given vertices is 10 square units.

To find the area of the triangle having the given vertices (0, 0), (4, 0), and (0, 5), we can use the formula for the area of a triangle with coordinates:

Area = (1/2) * |(x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2))|

Here, the coordinates are (x1, y1) = (0, 0), (x2, y2) = (4, 0), and (x3, y3) = (0, 5). Plugging these values into the formula, we get:

Area = (1/2) * |(0 * (0 - 5) + 4 * (5 - 0) + 0 * (0 - 0))|

Area = (1/2) * |(-0 + 20 + 0)|

Area = (1/2) * 20

Area = 10 square units

So, the area of the triangle with the given vertices is 10 square units.

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Answers:

Note: your teacher may want you to type in a positive value for r

=========================================================

Explanation:

The given equation y = 8(1-0.15)^t is in the form y = a(1+r)^t

We have a = 8 as the initial value, or what we start with.

r = -0.15 converts to -15%, so we have a decay of 15%

Plug in t = 3 to find the corresponding value of y

y = 8(1-0.15)^t

y = 8(1-0.15)^3

y = 8(0.85)^3

y = 8(0.614125)

y = 4.913

y = 4.9

Answer:

a = 8

r = 85%

y = 4.913

Step-by-step explanation:

For a, the exponential decay function is y=a*r^t. In order to find the initial amount, you are solving for when t = 0 or, y(0). Thus, t, or time, is 0. Solve the equation with time of 0.

y = 8(1-0.15)^0 = 8*1 (anything to the 0 power equals 1)

a = 8 is the initial amount

In order to solve for r, you need to solve (1 - 0.15) = 0.85. Now, multiply by 100 to get the percent 100 * 0.85 = 85%

Lastly, when t = 3 solve the equation filling in the exponent, t with 3 like below:

y = 8(1-0.15)^3 (PEMDAS; parenthesis and exponents first)

y = 8(0.85)^3 = 8*(0.614125)

y = 4.913

The numbers that are a distance of 3.2 units from −4 on a number line are -0.8 and -7.2

Number lines are lines containing both positive and negative real numbers.

For us to get the distance of 3.2 units from −4 on a number line, we will add and subtract 3,2 from -4 as shown;

Adding 3.2 to  -4

Addition = -4 + 3.2

Addition = -0.8

Taking the difference between -4 and 3.2

Difference = -4 - 3.2

Difference = -7.2

Hence the numbers that are a distance of 3.2 units from −4 on a number line are -0.8 and -7.2.

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Answer:

The segments nor the graph are shown here, so i will answer in the most general way that i can.

First, for definition, a positive number A is such that:

A > 0

And a negative number B is such that:

B < 0.

Then, 0 is neither positive nor negative.

Now, if we have two consecutive zeros in a function (and the function is continuous) between these points the function can be only negative or positive (The function must be zero at some point in order to change of sign)

But notice that if f(x) is positive between x1 and x2, and f(x1) = 0, f(x2) = 0, we have that the segment where f(x) is positive is written as:

(x1, x2)

Where the (,) symbols mean that the values in the extremes do not belong to the segment.

Now, i can not see the segments that the student found.

If in the segment the function is negative, then the correct option is A (the function is negative in this segment if the graph of the function is under the x-axis in this segment)

If in the segment the function is positive, then the correct option is C (the function is positive in this segment is the graph of the function is above the x-axis in this segment)

Answer:

The zeros are neither positive nor negative. The student included these in the interval over which the function is​ positive, which is incorrect.

Get that A! ;p

Answer:

1. Forty-two less than a number z

2. The product of eleven and a number k

3. A number t increased by seventy

4. The quotient of forty-three and a number m

5. Sixty-four added to a number w

6. One-hundred decreased by a number j

7. The sum of a number g and nine

8. Seventeen fewer than a number h

9. One-fourth of a number v

The greatest common factor of 20q¹⁰ - 10q⁹ + 30q⁸ + 20q⁷ is 10q⁷.

The GCF stands for greatest common factor. In this case, greatest can be changed to highest, and factor to divisor. The highest common factor is often referred to as the biggest common factor, highest common factor, or highest common divisor (GCD).

The largest number among all the common factors of the given numbers is known as the GCF (Greatest Common Factor) of two or more numbers. The greatest integer that may be used to divide two natural numbers x and y without producing any remainders is called their GCF. There are three main methods for calculating GCF: division, multiplication, and prime factorization.

the factor of 20q¹⁰ is 2*2*5*q*q*q*q*q*q*q*q*q*q

the factor of 10q⁹ is 2*5*q*q*q*q*q*q*q*q*q

the factor of 30q⁸ is 2*3*5*q*q*q*q*q*q*q*q

the factor of 20q⁷ is 2*2*5*q*q*q*q*q*q*q

So that the common factor of all the above terms is 2*5*q*q*q*q*q*q*q

the common factor of all the above terms= 10q⁷

So that the greatest common factor of 20q¹⁰ - 10q⁹ + 30q⁸ + 20q⁷ is 10q⁷.

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Answer: -3y + 15

Step-by-step explanation: