What is the value of the polynomial 5x 4x^2 3 at x =- 1?

Mathematics High School

What is the value of the polynomial 5x âˆ’ 4x^2 3 at x =- 1?

Answers

Answer 1

The value of the polynomial "5x - 4x^2 + 3" at x =- 1 is -6.

The polynomial is 5x - 4x^2 + 3, and it is required to find its value at x = -1,

Now solve the polynomial by putting the value of x equal to -1:

5(-1) - 4(-1)^2 + 3 , x = - 1

-5 - 4 ( 1 ) + 3 , squaring -1 gives + 1

minus 5 minus 4 plus 3

( - 9 + 3)

( - 6 )

Hence, is shown that the value - 6 is obtained when the given polynomial "5x - 4x^2 + 3" is solved for x = -1.

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Related Questions

find the value of X.
L,M∈KN

Answers

We know:
Angles on a straight line sum to 180 degrees, so we can calculate OLM and OML, OLM will be 180 - 134, and OML will be 180 - 84. These are both 46 and 96. We also know that three angles in a triangle sum to 180 degrees, therefore 46 + 96 + x = 180, or 142 + x = 180, so x = 38 degrees

the answer is x=38 degrees

PLEASE HELP SOON

1. Solve the system. 3x+y = 10 y = 6x+1 Enter your answer by filling in the blanks. The solution is ( , )

2. Solve the system. 6x - y = -15 x + 2y = 17 Enter your answer as a coordinate pair in the blank.

Answers

Answer:

1. ( 1,7)

2. (17, 39)

Step-by-step explanation:

1. Replace all occurrences of y with 6x+1, and we get

9x + 1 = 10

x = 1

y = 6x + 1

y = 7

So, the answer for number 1 is (1,7)

2. 6x - y = -15x + 2y = 17

We subtract 2y and get

6x - 3y = 15x = 17

Replace all occurrences of x with 17, and we get

102 −3y = −15

x = 17

y = 39

So, the answer for number 2 is (17, 39)

Use a calculator to find cos 149° rounded to the nearest hundredth. Identify the angle of depression

Answers

The value of cos 149 degree as calculated from the calculator is found out to be -0.857167301.

Which on round off is , -0.85.

The formula to calculate the angle of depression is , θ = tan-1 (Opposite Side/Adjacent Side) .

Therefore, the AOD for cos149 degree is found out to be as ,

α = arctan(vertical distance / horizontal distance)

α = arctan(10 / 11.998)

α = arctan(0.83347224537423)

α = 0.69482025147278 ° ≈ 0.69 °

The angle of depression is defined as the point of meeting of a horizontal line with the line between the item and the observer's eye. This angle is determined by two factors , which are their height and distance. If the item is below the observer's level, the angle produced between the horizontal line and the observer's line of sight is known as the angle of depression.

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How do you use sin Cos in C?

Answers

We can use the sin (), and cos () functions in C programming to find the sine and cosine values of any problem.

sin( ), cos( ) and tan( ) functions in C are used to find sine, cosine and tangent values.

sinh( ), cosh( ) and tanh( ) functions are used to find hyperbolic sine, cosine and tangent values.

exp( ) function is used to find the exponential “e” to the xth power. log( ) function is used to find the natural logarithm and the log10( ) function is used to find the base 10 logarithms.

The” math.h” header file supports all these functions in the C language.

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(m-12)divided by 44=32

Answers

Answer: (m-12)

Step-by-step explanation:

(m-12)divided by 44=32

A correlation coefficient of is the amount of the variance in the dependent variable unexplained by the levels of the independent variable alleged to produce the effect under study. A correlation coefficient of 0.3 leaves what percent of the variance in the dependent variable unexplained by the independent variable

Answers

The percent of the variance in the dependent variable unexplained by the independent variable is 81%

What does correlation coefficient mean?

A correlation coefficient is a statistical indicator of how well changes in one variable's value predict changes in another. When two variables are positively correlated, the value either rises or falls together.

9 percent of the variance is explained by the independent variable if the correlation coefficient is 0.3.

The correlation coefficient is therefore represented as follows:

[tex]r = 0.3[/tex]

The explained variance is found using the following formula:

[tex]R^{2} = r^{2} \\R^{2} = (0.3)^{2} \\R^{2} = (0.3)*(0.3)\\R^{2} = 0.9[/tex]

Thus, 81% of the variance remains unexplained by variations in the independent variable.

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Practice
Example 1
Use the graphs to determine the number of solutions the system
has. Then state whether the system of equations is consistent or
inconsistent and if it is independent or dependent.
1. y=x-1
y = -x + 1
3. y = x + 4
2x - 2y = 2
5. y = 0.5x
y=x+2
7. 2x - 2y = -4
-10x - 5y = 15
2. x-y=-4
y=x+4
4. y=2x-3
2x - 2y = 2
6. 4x+6y=12
2x + 3y = 6
8. 2x + 3y = 10
4x + 6y = 12
Period
GO Practice Spiral Review Extra Practice
Examples 2 and 3
Graph each system and determine the nu
.
2x+3y=6
y=x+4
x-y=-4
A
y=x-1
y=2x-3
2x+3y=10
y=x+2
Date
2x-2y=-4
.
2x-2y=2
y=-x+
y=0.5x
4x+6y=12
-10x-5y=15

Answers

Since the two equations are identical, they intersect in an infinite number of places. They are consistent and reliant as a result.

what is solution ?

a value or set of values that, when used as a stand-in for one or more equation's variables, cause the equation to be true. a strategy or approach for resolving a problem, such as the solutions to the equation x2 = 4 being 2 and -2. a description of a resolution. to be more precise: a group of variable values that satisfy an equation. The equation 3(2)+5=11 states that 6+5=11 is accurate. So, the solution is 2.

given

y = 3x + 1

The two equations are independent and consistent since they cross at a single precise location.

y = 3x + 1

y = x + 3

The two equations are independent and consistent since they cross at a single precise location.

y = x + 3

These two equations are incompatible because they do not intersect.

y = x + 3

To identify which line it is, rearrange the first equation into slope-intercept form.

Since the two equations are identical, they intersect in an infinite number of places. They are consistent and reliant as a result.

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F39) if x## is defined as x## = x² - x for all values of x, and A## = ( A - 2 )##, then what is the value of A?

Answers

The value of A in A## = ( A - 2 )## if x## = x² - x is 2 Or 3.

What are coding and decoding?

Topics in the reasoning part include coding, decoding, and reasoning. One of the most frequently occurring portions in all of the important competitive exams specifically created for employment procedures and higher education is this one. Because Coding-Decoding and Reasoning problems can be difficult for some applicants to complete, they avoid them and lose some quick and simple marks.

Given, x## is defined as x## = x² - x.

Therefore,

A## = (A - 2)##

= (A - 2)² - (A - 2).

= A² - 4A + 4 - A + 2.

= A² - 5A + 6.

Let, A² - 5A + 6 = 0.

A² - 3A - 2A + 6 = 0.

A(A - 3) - 2 (A - 3) = 0.

(A - 3)(A - 2) = 0.

A = 3 Or A = 2.

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For each of these variables, which of the mean, median, or mode would be the best choice to describe the typical behavior of the variable? Why?
Sales prices of houses
Age of 1st graders
Heights of women

Answers

In the case of Typical behavior of the sales prices of houses median is the best term. In the case of Ages of 1st graders mean is the best way of central tendency and for Heights of women mode is the best measure.

First of all we have to know the Mean, median and mode. The mean of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set. The median is the middle value when a data set is ordered from least to greatest. The mode is the number that occurs most often in a data set.

In the case of typical behavior of the variable sales price of houses, the Median will be the best measure of central tendency because the median will not get affected by the higher/lower prices of houses.

The age of each kid will be almost the same. In order to represent the typical behavior of the variable Age of 1st graders, the mean will be the best measure of central tendency.

Incase of Heights of women, the mode will be the best measure of central tendency as it will describe the height that most of the females have.

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1.) Each row of the grocery store parking lot has 10 parking spots of equal width. What is the width for each spot?

2.) How many space is given for each parking spot at the mall parking lot if each spot has an equal width?

3.) Which location gives the greatest space for each parking lot?

(Ik this is a lot but can someone help me please I’m so confused)

Answers

When there are 10 identically sized parking spaces in each row of the grocery store parking lot, the solution is 3.192 width.

what is equation ?

The definition of an equation in algebra is a mathematical statement that proves two mathematical expressions are equal. Consider the equation 3x + 5 = 14, where 3x + 5 and 14 are two expressions that are separated by the symbol "equal." The three main types of linear equations are the slope-intercept form, standard form, and point-slope form. An equals sign is a part of a mathematical expression referred to as an equation. A lot of equations include algebra. In math, algebra is employed when you don't know the precise amount to calculate.

given

The grocery store is 31.92 wide overall, with 10 equally wide parking spaces.

If you assume that the width of these 10 parking spaces is equal to the width of the grocery store as a whole, you will have:

10x=31.92

on both sides of the equation, multiply by 10.

10x/10 = 31.92/10

x = 3.192

When there are 10 identically sized parking spaces in each row of the grocery store parking lot, the solution is 3.192 width.

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Step 2: Testing Jerome’s brother’s approach
Jerome’s brother told him to add one cup of water for every one cup of drink mix he added to keep the ratio of water to drink mix the same and still increase the total amount of energy drink.
Complete the table below.

Answers

The answer to the table is given below.

What is a ratio?

The quantitative relation between two amounts shows the number of times one value contains or is contained within the other. for example-"the ratio of computers to students is now 2 to 1"

Given:

Learn more about ratios here: Jerome’s brother told him to add one cup of water for every cup of drink mix he added to keep the ratio of water to drink mix the same and still increase the total amount of energy drink. We get the following table using the constraints given in the question

Drink mix 3 4 5 6 7

water cups 8 9 10 11 12

Hence, The complete table is shown above.

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7.3 significant figure

Answers

Answer:

7.0

Step-by-step explanation:

from the first figure which is not a 0

7.3-7.0(1 significant figure)

Type the correct answer in the box. Round your answer to the nearest tenth. The population of Cuba is 1.3 million. The country's population is expected to grow at a rate of 4% each year. The population of Cuba will be million in 10 years.

Answers

The population of Cuba in 10 years will be 1.9243 million.

What is meant by exponential growth?

A process called exponential growth sees a rise in quantity over time. It happens when a quantity changes at an instantaneous rate that is proportionate to the quantity itself with respect to time.

Data patterns that exhibit exponential growth exhibit quicker rate of expansion over time. Compounding produces exponential returns in the financial world. Savings accounts with a compound interest rate have the potential to expand exponentially.

The population growth will be modeled using exponential growth:

f(x) = a(b[tex])^t[/tex]

where:

a be the initial value

b be the growth rate

Substitute the values in the above equation, we get

f(x) = 1.3(1.04[tex])^t[/tex]

The population after 10 years will be:

f(x) = 1.3(1.04[tex])^{10[/tex]

simplifying the equation, we get

f(x) = 1.9243

Therefore, the population in 10 years will be 1.9243 million.

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The population of Cuba in 10 years will be 1.9243 million, if the population is expected to grow at a rate of 4% each year.

What is meant by exponential growth?

Quantities increase over time through a process known as exponential growth. It occurs when a quantity shifts at a pace that is proportional to the quantity's own rate of change with regard to time.

Data patterns that show exponential growth expand more quickly over time. In the world of finance, compounding generates exponential profits. Compound interest savings accounts have the potential to grow tremendously.

The population growth will be modeled using exponential growth:

f(x) = a(b)[tex]^{t}[/tex]

where:

a be the initial value

b be the growth rate

Substitute the values in the above equation, we get

f(x) = 1.3(1.04

The population after 10 years will be:

f(x) = 1.3(1.04

simplifying the equation, we get

f(x) = 1.9243

Therefore, the population in 10 years will be 1.9243 million.

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Kate spent 44 pounds in the holidays.
she spent three times as much on clothes as she did on food.
How much did she spend on food ?

Answers

Answer:

11 pounds

Step-by-step explanation:

The ratio of the amount of money Rachel spent on food to clothes is 1/3
She spent: 44 : (1 + 3) x 1 = 11 pounds

Answer:11

Step-by-step explanation:

11 times 3 equals 33(for the clothing)

so 11 is left

Hi everyone, I need some help please. The question is asking -

Which set of ordered pairs does not represent a function?

A: (0, -4) , (8,5) , ( -5,6) , (6,5)
B: (0, -1) , ( -4,0) , ( -2, -1) , (7, -7)
C: (0,3) , ( -3,6) , ( -7,3) , (9, -5)
D: (8, -2) , ( -2, -3) , (6,6) , ( -2, -6)

Answers

B: (0, -1) , ( -4,0) , ( -2, -1) , (7, -7)

What exactly is an ordered pair?

Image result for ordered pair definition

An ordered pair is a composite of the x coordinate (abscissa) and the y coordinate (ordinate), with two values expressed between parenthesis in a predetermined order. It aids visual comprehension by locating a point on the Cartesian plane. An ordered pair’s numeric values can be integers or fractions.

The origin is the place where both axes cross. Every point on the coordinate plane is represented by an ordered pair (x, y), with the first element x referred to as the x-coordinate and the second element y referred to as the y-coordinate.

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Which expressions are equivalent to 8.5x + 0.5 + 3.5x -2x, A) 12x-2x, B) 10x + 0.5, C) 12-2x, D) 9x + 3.5 - 2x, E) 12x - 2x + 0.5

Answers

The given expression {8.5x + 0.5 + 3.5x - 2x} is equivalent to

10x + 0.5.

What are equations?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign "=".

Given is the expression as follows -

8.5x + 0.5 + 3.5x - 2x

The given expression is -

8.5x + 0.5 + 3.5x - 2x

(8.5x + 3.5x - 2x) + 0.5

12x - 2x + 0.5

10x + 0.5

Therefore, the given expression {8.5x + 0.5 + 3.5x - 2x} is equivalent to

10x + 0.5.

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The mighty oak tree outside of Matt's house had to be cut down. He missed the beautiful tree and the shade it provided and wanted to replace it with an oak tree that would grow quickly. The Nuttall Oak (Quercus nuttalli), the fastest-growing oak tree, grows 7 to 8feet per year (we'll assume it grows at a constant rate). At maturity, it can be up to 50 feet tall.
Which of the following equations, where t represents time in years and h represents the height in feet, describe growth that is slower than the Nuttall Oak growth rate?
CHOICES:
A: h=5t
B: h=8.5t
C: h=10t
D: h=50t

Answers

Growth that is slower than the Nuttall Oak growth rate is h=5t.

What is equation?

An equation is a mathematical statement that expresses two values as being equal. It is the basic building block of algebra and can be used to solve for unknown values, or to show the relationships between two or more values. Equations use mathematical operators such as addition, subtraction, multiplication, and division, as well as symbols and numbers, to express relationships between values. An equation can be written in the form of an expression, a system of equations, or a single equation. In all cases, an equation requires both sides of the equation to be equal in order to be valid and have a solution.

This equation describes growth that is slower than the Nuttall Oak growth rate because it has a lower rate of growth of 5 feet per year. The Nuttall Oak grows 7 to 8 feet per year, so any equation with a growth rate lower than that would be slower. Choices B, C, and D have higher growth rates than the Nuttall Oak, so they would not be slower than the Nuttall Oak growth rate.

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What is the probability that andre olivia and zack all win gift cards that are at least $25

Answers

The probability that Andre, Olivia, and zack all win gift cards that are at least $25 is 1/4. Hence option C is the correct option.

What is an event?

An event is a collection of experiment results (a subset of the sample space) to which a probability is ascribed in probability theory.

The wheel consists of 8 equal sections. Each section contains the price of a gift card. 4 sections contain a $5 gift card, 2 sections contain a $5 gift card, one section contains a $25 gift card, one section contains a $50 gift card.

To win at least $5, they have to get either $25 or $50.

Thus the number of outcomes of favorable event is 2.

Total number of outcomes is 8.

The probability to win at least $25 is 2/8

Divide denominator and numerator by 2:

2/8 = 1/4

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Brad has a cylindrical barrel with radius 10 inches and height 15 inches. He wants to fill it from a well, using a bucket in the shape of a hemisphere with a radius of 10 inches. How many trips must Brad make to the well in order to fill the barrel

Answers

He needs to make 1 and a half trips to the well to fill the barrel which has a height of 15 inches and radius 10 inches.

What are cuboid?

A cuboid is a three-dimensional geometric shape that has six rectangular faces, three of which meet at each corner. A cuboid has three dimensions: length, width, and height. It is also commonly referred to as a rectangular prism. The formula for the volume of cuboid is [tex]V = l *w * h[/tex], where l is the length, w is the width, and h is the height. The formula for the surface area of a cuboid is [tex]2lw + 2lh + 2wh[/tex]. Cuboids are used in everyday life such as building blocks and package boxes.

The cylindrical barrel has a volume of [tex]\pi * r^2 * h = \pi * 10^2 * 15 = 1500\pi[/tex] cubic inches.

The hemisphere has a volume of [tex](2/3) * \pi * r^3 = (2/3) * \pi * 10^3 = (2000/3)\pi[/tex] cubic inches.

So, to fill the barrel, Brad must make [tex]1500\pi / (2000/3)\pi = 3/2 = 1.5[/tex] trips to the well.

In other words, he needs to make 1 and a half trips to the well to fill the barrel.

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how do i do this qustion

Answers

The slope of the line is 20.

The slope represents the rate of change in the price per hour is $20.

What are coordinates in a graph?

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

Two coordinates from the graph.

(1, 60) and (3, 100)

Slope.

= (100 - 60) / (3 - 1)

= 40 / 2

= 20

The slope represents the rate of change in the price per hour.

Thus,

The value of the slope is 20.

The slope denotes that the rate of charge per hour is $20.

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Which point represents the value of –(–2) on the number line?
A number line has points A, negative 3, B, blank, 0, blank, C, 3, D.
Point A
Point B
Point C
Point D

Answers

The point that is -2 on the number line is point B. Option B

What is the number line?

We know that the number line can be taken as a representation of the numbers. We ought to know that the numbers that we find on the number line are the numbers that are increasing to the right as shown.

In the question that we have, the task that is before us is that we should be able to locate the point on the number line that has been labelled as -2 on this the point B non the line. This is the point that is read off as -2.

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When 10 is substacted from the square of a number the result is 3 times the number find the positive solution

Answers

Answer: So the positive solution is:

ANSWER: X = 5

(x = 5 ), (x = - 2 )

Step-by-step explanation:

when 10 is subtracted from the square of a number the result is 3 times the number.

Find the positive solution.

Let: x = number

Let x^2 = square of a number.

x^2 - 10x = 3x transpose

x^2 - 3x - 10 = 0

Apply Factoring: Fractions of 10 are 5 and 2

( - 5)(2) = - 10

- 5 + 2 = - 3

( x - 5 )(x + 2) = 0

x - 5 = 0 x + 2 = 0

x = 5 x = - 2

So the positive solution is:

ANSWER: X = 5

I hope that helps!!!!

Are 2 3 5 the sides of right angled triangle?

Answers

Answer:

Step-by-step explanation:

Since [tex]2^2+3^2 \neq 5^2[/tex], the side lengths do not satisfy the Pythagorean theorem.

5. It takes a truck 4 hours to drive 240 miles. What was the truck's miles per hour? How far would the truck go in 1 days (think carefully)?

Answers

Answer:

Step-by-step explanation:

a.4 hours drive 240 miles, so the speed is 240÷4=60 miles per hour

b.1 days have 24 hours, then, it will go 60 ×24 = 1440 miles in 1 days

Answer:

1440

Step-by-step explanation:

240+4= 60

distance = rt

r= rate

t = time

IN ONE DAY

60 times 24= 1440

(24 for 24 hours)

You buy clothing at a sale. You buy sneakers at 2 3 of their original price of $60, a sweater at 7 10 of its original price of $35, and a jacket at 5 6 of its original price of $45. Answer each question and show all your work. How much money did you spend

Answers

We spent a total of 40.2 + 24.5+ 37.8 = $102.50

Explain about the fractions?

A fraction is a metric unit for describing a piece or component of a whole. It represents the appropriate parts of the totality. A fraction is made up of two parts: the numerator and the denominator. The number at the top is the numerator, and the number at the bottom is the denominator.

Fractions are used to represent the parts of an entity or collection of entities. The components of a fraction are two. The figure at the top of the line is the numerator. It provides information on how many equal sections from the total or collection were taken. The number that appears below the line is the denominator.

We multiply the initial price by the fractions' decimal conversions to determine how much we spent. The quantities are then combined.

You purchased sneakers for $60 and paid 2/3 of that amount, or $0.6666, for a total of $40.20, saving $19.80.

Sweater costs $35 and you paid $7.50 for it, saving you $10.50. 35(0.7)=$24.50.

You paid $45 for a jacket, and since 5/6=0.8333, 45(0.84)=$37.80, you made a $7.20 profit.

We spent a total of 40.2 + 24.5+ 37.8 = $102.50

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Determine if each infinite geometric series is convergent or divergent.

Answers

The solution to the geometric progression are

a) The geometric progression converges , r = 0.1

b) The geometric progression converges , r = 0.2

c) The geometric progression diverges , r = 5

d) The geometric progression converges , r = 0.2

e) The geometric progression diverges , r = 5

f) The geometric progression converges , r = 0.2

What is Geometric Progression?

A geometric progression is a sequence in which each term is derived by multiplying or dividing the preceding term by a fixed number called the common ratio.

The nth term of a GP is aₙ = arⁿ⁻¹

The general form of a GP is a, ar, ar2, ar3 and so on

Sum of first n terms of a GP is Sₙ = a(rⁿ-1) / ( r - 1 )

Given data ,

Let the geometric progression be represented as A

Now , the value of A is

A geometric progression is said to converge if the common ratio r lies between -1 < r < 1

So , If -1 < r < 1, the geometric sequence converges

The geometric progression is A = 0.3 + 0.03 + 0.003 + ...