PLEASE HELP MEEE!!!!!!!!!

PLEASE HELP MEEE!!!!!!!!!

Answers

Answer 1

Each function operation should be matched with what it is equivalent to as follows:

f(x) + g(x) = -2x² + x + 6.

g(x) - f(x) = -2x² - 5x + 2.

f(x) · g(x) = -6x³ - 10x² + 8x + 8.

h(x) - f(x) = 3x² - 7x - 2

f(x) · h(x) = 9x³ - 6x² - 8x.

f(x) + g(x) + h(x) = x² - 3x + 6.

How to determine the solutions of the given function?

In order to determine the solutions of the given function, we would have to evaluate each of the function based on the required mathematical operations as follows.

From the information provided, we have the following functions:

f(x) = 3x + 2

g(x) = -2x² - 2x + 4

h(x) = 3x² - 4x

f(x) + g(x) = 3x + 2 + (-2x² - 2x + 4)

f(x) + g(x) = 3x + 2 - 2x² - 2x + 4

Next, we would rearrange the function by collecting like terms as follows:

f(x) + g(x) = -2x² + (3x - 2x) + (2 + 4)

f(x) + g(x) = -2x² + x + 6 (solution).

g(x) - f(x) = -2x² - 2x + 4 - (3x + 2)

Opening the bracket, we have:

g(x) - f(x) = -2x² - 2x + 4 - 3x - 2

Next, we would rearrange the function by collecting like terms as follows:

g(x) - f(x) = -2x² + (-2x - 3x) + (4 - 2)

g(x) - f(x) = -2x² - 5x + 2 (solution).

f(x) · g(x) = (3x + 2) × (-2x² - 2x + 4)

Opening the bracket, we have:

f(x) · g(x) = -6x³ - 6x² + 12x - 4x² - 4x + 8

Next, we would rearrange the function by collecting like terms as follows:

f(x) · g(x) = -6x³ + (-6x² - 4x²) + (12x - 4x) + 8

f(x) · g(x) = -6x³ - 10x² + 8x + 8 (solution).

h(x) - f(x) = 3x² - 4x - (3x + 2)

h(x) - f(x) = 3x² - 4x - 3x - 2

h(x) - f(x) = 3x² - 7x - 2 (solution).

f(x) · h(x) = (3x + 2) × (3x² - 4x)

f(x) · h(x) = 9x³ - 12x² + 6x² - 8x

f(x) · h(x) = 9x³ - 6x² - 8x (solution).

f(x) + g(x) + h(x) = 3x + 2 + (-2x² - 2x + 4) + (3x² - 4x)

f(x) + g(x) + h(x) = -2x² + x + 6 + 3x² - 4x

f(x) + g(x) + h(x) = x² - 3x + 6 (solution).

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Related Questions

Give the numerical coefficient of the term.
xw

The numerical coefficient is _____.

Answers

Answer:

x

Step-by-step explanation:

The numerical coefficient is x.

PLSSS I NEED HELP
Which of the following is the graph ofY= -3/5x+2

Answers

Answer- C

Explanation - Since it’s a negative slope the line goes \ that way .

Answer:

It would be the last graph (c). It would look like the image below.

Explanation:

Since 3 is negative the answer would have a graph with a line going like this \.

You and your friends go camping and put up a tent on camp grounds. the tent is shaped like an isosceles triangle. the sides of the tent are 5 feet each and the opening of the tent is 6 feet wide. how tall is the tent

Answers

Fortunately half the isosceles triangle forms a Pythagorean triple with 3, h, 5
h = 4 feet tall

A) SAS
B) ASA
C) AAS
D) SSS
E) there is not enough information to guarantee congruent triangles

Answers

Pretty sure it’s option, A) SAS
As the parallel lines and angles give that information

in a particular chi-square goodness-of-fit test, there are eight categories and 825 observations. use the 0.10 significance level. a. how many degrees of freedom are there?

Answers

By probability , 7 is degrees of freedom are there .

Describe probability using an example?

By dividing the number of preferable possibilities by the total number of potential outcomes, probability, which measures the likelihood that an event will occur, is obtained. The most basic illustration is a coin toss. There are only two outcomes that can occur when you flip a coin: either heads or tails.It is predicated on the likelihood that something will occur. The theory of probability primarily relies on the justification for probability. A coin is tossed, for instance, and the theoretical likelihood of getting a head is 1 in 2.

825 Observations and 8 categories .

Degree of freedom = k - 1

     df = 8 - 1

     df = 7

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Mr karki divided a sum of Rs 1,80,000 between his son and daughter in the ratio of 4:5 find the sum obtained by eachof them.

Answers

Answer:

Rs 80,0000 and Rs 100,000

Step-by-step explanation:

sum the parts of the ratio, 4 + 5 = 9 parts

divide the amount by 9 to find the value of one part.

Rs 1,80,000 ÷ 9 = Rs 20,000 , then

4 parts = 4 × Rs 20,000 = Rs 80,000 ← amount son receives

5 parts = 5 × Rs 20,000 = Rs 100,000 ← amount daughter receives

The sum obtained by the son is Rs. 80,000 and the daughter is Rs. 1,00,000.

Mr. Karki divided Rs. 1,80,000 in a ratio of 4:5 between his son and daughter.

Let the common multiple be x

∴ The son obtained Rs. 4x        --------1

And daughter obtained Rs. 5x        --------2

As the total sum is Rs. 1,80,000

∴ 4x + 5x = 180000

9x = 180000

x = 180000/9

∴ x = Rs. 20000

Putting the value of x in 1 and 2 we get,

The sum obtained by son = 4x = 4*20000 = Rs. 80000

And the sum obtained by daughter = 5x = 5*20000 = Rs. 100000

Thus, the son obtained Rs. 80,000 while the daughter obtained Rs. 1,00,000 which is in the ratio of 4:5.

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Which of the following equations can be solved for x in one step by multiplying both sides of the equation by 2?

Answers

Answer:

x/2 = any number

Step-by-step explanation:

Compute and expressed the result as a mixed fraction?

1) 2+ 3/4

Answers

Answer:

2 [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

2 + [tex]\frac{3}{4}[/tex]

= 2 [tex]\frac{3}{4}[/tex] ← as a mixed number

Find side x to one decimal place

Answers

Answer:

10.8 cm

Step-by-step explanation:

To solve this answer, we should use sine law.

[tex]\frac{SinA}{a}[/tex]=[tex]\frac{SinB}{b}[/tex]

[tex]\frac{Sin40}{7}[/tex]=[tex]\frac{Sin81}{x}[/tex]   (cross multiply)

xSin40 = 7Sin81

xSin = [tex]\frac{7Sin81}{40}[/tex]

x= [tex]\frac{7Sin81}{Sin40}[/tex]

x= 10.8 cm

PLEASE HELP FAST!!!! ILL GIVE BRAINLIEST!!!!

Which statement correctly compares the function shown on this graph with the function y = 4x - 8?

A. The function shown on the graph has a greater rate of change but
a lower y-intercept.

B. The function shown on the graph has a smaller rate of change but
a higher y-intercept.

C. The function shown on the graph has a greater rate of change and
a higher y-intercept.

D. The function shown on the graph has a smaller rate of change and
a lower y-intercept.

Answers

I think The answer to your question is c

TR is the angle bisector angle ATS. The m angle RTS = (17x-5) and m angle ATS= (28x + 8). find X

Answers

Applying the definition of angle bisector, the value of x is: x = 3.

What is an Angle Bisector?

An angle bisector can be defined as a ray or line that divides an angle into two parts that are congruent or equal to each other in measure.

Since TR is the angle bisector that bisects angle ATS, it implies that angle ATS is divided into equal parts.

Given the following:

Measure of angle RTS = (17x - 5)°

Measure of angle ATS = (28x + 8)°

Therefore:

Measure of angle ATS = 2(measure of angle RTS) [definition of angle bisector]

Substitute

28x + 8 = 2(17x - 5)°

28x + 8 = 34x - 10

Combine like terms

28x - 34x = -8 - 10

-6x = -18

Divide both sides by -6

-6x/-6 = -18/-6

x = 3

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A research association reported that 3,173,000 gas grills were shipped by various manufacturers in the U.S. in 2000.Shipment increased by 7% per year from 2000-2016.Write a function that models the number of gas grills shipped over time.

Answers

If shipments increased by 7% (which is the same as 0.07) per year, then the shipment in a year can be found by multiplying the shipments in the previous year by 1.07.

Therefore, if [tex]x[/tex] represents the number of years since 2000 and [tex]f(x)[/tex] represents the number of shipments, then [tex]f(x)=3173000(1.07)^x[/tex].

a 39-inch by 104-inch piece of cardboard is used to make an open-top container by removing a square from each corner of the cardboard and folding up the flaps on each side. what size square should be cut from each corner to get a container with the maximum volume? enter the area of the square and do not include any units in your answer.

Answers

According to the solving the area of the square is 68.0625.

What's a square's area?

As is common knowledge, a square is a four-sided, two-dimensional figure. It is also referred to as a quadrilateral. The total quantity of unit squares forming a square is referred to as the square's area. In other words, it is described as the area that the square takes up.

According to the given data:

The box formed after cutting the square from each corner will have the dimensions as,

length = 104 - 2x, width = 39 - 2x, height = x.

∴ volume of the box = length × width × height

∴ v = (104 - 2x)(39 - 2x)(x) -----(i)

∴ v = (104 - 2x) (39x - 2[tex]x^{2}[/tex])

∴ v = 104(39x - 2[tex]x^{2}[/tex]) -2x(39x - 2[tex]x^{2}[/tex])

∴ v = 4056x - 208[tex]x^{2}[/tex] - 78[tex]x^{2}[/tex] + 4[tex]x^{3}[/tex]

∴ v = 4[tex]x^{3}[/tex] - 286[tex]x^{2}[/tex]  + 4056x

let f(x) =  4[tex]x^{3}[/tex] - 286[tex]x^{2}[/tex]  + 4056x  -----(ii)

To, find x for which f(x) is maximum,

⇒we should apply second derivative test ,

According to this test, first we should find critical points at which f'(x) = 0.

then if f''(x) < 0 for that critical point then f(x) is maximum at that critical point.

∴ let us consider, f'(x) = 0.

now, f(x) =  4[tex]x^{3}[/tex] - 286[tex]x^{2}[/tex]  + 4056x

⇒ f'(x) = 12[tex]x^{2}[/tex] - 572x + 4056.  -----(iii)

⇒ f'(x) = 4(3[tex]x^{2}[/tex] - 143x + 1014)

⇒ f'(x) = 0.

⇒  f'(x) = 4(3[tex]x^{2}[/tex] - 143x + 1014) = 0

⇒ x = (-b ± [tex]\sqrt{b^{2} - 4ac }[/tex])/2a    ; where a = 3, b = -143, c = 1014.

∴ x = (-(-143) ± [tex]\sqrt{(-143)^{2} -4(3)(1014)}[/tex])/2×3

∴ x = (143 ± [tex]\sqrt{8281}[/tex])/6.

∴ x = [tex]\frac{143 + 91}{6}[/tex]  , x = [tex]\frac{143 - 91}{6}[/tex]

⇒ x = 39, 8.25

the square of length 8.25 inch should be cut from each side to det contained with the maximum volume.

Area of the square is = [tex]x^{2}[/tex] = [tex]8.25^{2}[/tex]

∴ Area = 68.0625

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In a city, 6th and 7th Avenues are parallel and the corner that The Pizza Palace is on is a 54° angle. What is the measure of the angle that is made with 7th Ave and Broadway on the corner of The Shake Hut? A) 36° B) 54° C) 126° D) 136°

Answers

The angle formed by 7th Avenue and Broadway at The Shake Hut's corner measures 126°.

An expression that depicts the relationship between two or more numbers and variables is called an equation.

If we consider x to be the angle opposite the Pizza Palace, then x = 54°

Also:

The snake hut plus x equals 180

54 plus The Snake Hut = 180

126° is the snake hut.

The angle formed by 7th Avenue and Broadway at The Shake Hut's corner measures 126°.

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if the product of five and the number is increased by seven, the result is the same as eight less than three times a number


Please helppppp

Answers

Answer:

The number is -7.5

Step-by-step explanation:

Creating an equation:

5x+7=3x-8

-> 5x = 3x-15

-> 2x=-15

-> x=-7.5

Mr. C is buying some Hot Cheetos for our school hangout. He can buy an 18 ounce bag for $4.50 or he can buy a 40 ounce bag of the same Cheetos for $8.80. Which bag of Hot Cheetos offers the lowest price ounce?

Answers

Answer:

Step-by-step explanation: You want to figure out how much it costs per ounce. You’ll divide $4.50/18 ounces to get $0.25 per ounce for the 18 ounce bag and $8.80/40 ounces to get $0.22 per ounce for the 40 ounce bag. The 40 ounce bag is cheaper per ounce.

which expression is equivanlent to -18 - 5

Answers

Answer:

-18 + -5

Step-by-step explanation:

Because -18 - 5 is an inverse equation, that means that we are doing one equation that looks like something it usually doesn't. When subtracting a negative and a positive in that order, the result will be the sign of the greater value(-18), so the result will be negative. Subtracting a big number that's a negative by a smaller number that's a positive is the same as adding the same numbers together as if they are both negatives. E.g, -4 - 2 = -4 + -2.

Hope this helps!

euclid, pythagoras, ptolemy, and hypatia are playing a game where they all have to think of a number, and then cube that number 20 times. hypatia doesn't want to cube large numbers, so she chooses the number $1$. euclid thinks the same thing and also chooses the number $1$. however, pythagoras and ptolemy don't think ahead and pythagoras chooses $2$ and ptolemy chooses $-2$. after they finish cubing their numbers (pythagoras and ptolemy take a while), all four players write their final numbers on a piece of paper. what is the sum of the numbers they wrote on the piece of paper?

Answers

The sum of the numbers they wrote on the piece of paper is 2,305,843,009,213,693,954

What is Pythagoras's theorem?

The Pythagorean Theorem states that the squares on the hypotenuse (the side across from the right angle) of a right triangle or in standard algebraic notation, a² + b² = c², is equal to the squares on the legs.

What is the sum of numbers?

The outcome or conclusion we arrive at when we add two or more integers is known as the sum. Addends are the numbers that are added.

Here, we calculate the sum of the given numbers

= (1³)^²⁰  +  (1³)²⁰  +  (2³)²⁰  +  (-2³)²⁰

= 2,305,843,009,213,693,954

Hence, the sum of the numbers they wrote on the piece of paper is 2,305,843,009,213,693,954.

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this is my last question please help asap!!

Answers

The average rate of change of function [tex]g(x)=5(2)^{x}[/tex] from x = 3 to x = 4 is 4 times that from x = 1 to x = 2.

The correct option is (A).

What is the average rate of change of a function?

The average rate at which one quantity changes in relation to another's change is referred to as the average rate of change function.

Using function notation, we can define the Average Rate of Change of a function f from a to b as:

                                     [tex]rate(m) = \frac{f(b)-f(a)}{b-a}[/tex]

The given function is  [tex]g(x) = 5(2)^{x}[/tex],

Now calculating the average rate of change of function from x = 1 to x = 2.

                               [tex]m = \frac{g(b)-g(a)}{b-a}\\ m = \frac{g(2)-g(1)}{2-1}\\\\m=\frac{5(2)^{2}-5(2)^1}{2-1}\\ m=\frac{10}{1} \\m=10[/tex]

Now, calculate the average rate of change of function from x = 3 to x = 4.

                                 [tex]m = \frac{g(b)-g(a)}{b-a}\\ m = \frac{g(4)-g(3)}{4-3}\\\\m=\frac{5(2)^{4}-5(2)^3}{4-3}\\ m=\frac{40}{1} \\m=40[/tex]

The jump from m = 10 to m = 40 is "times 4".

So option (A) is correct.

Hence, The average rate of change of function [tex]g(x)=5(2)^{x}[/tex] from x = 3 to x = 4 is 4 times that from x = 1 to x = 2.

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What is 10 and 3/4 as a decimal

Answers

Answer:10.75

Step-by-step explanation:

3/4 as a decimal is 0.75. add that to the 10 gives you 10.75

Which expression shows the distance you would drive from the library to the grocery store along this road?

Answers

The expression that shows the distance you would drive from the library to the grocery store along this road is; |-5|+|7|

How to solve Absolute Value Inequalities?

An absolute value inequality is defined as an expression that has absolute functions as well as inequality signs. For example, the expression |x + 5| > 1 is an absolute value inequality that contains a greater than symbol.

Now, from the inequality line graph attached, we see that the point of the library is at -5 on the line graph.

Similarly, we also see that the point of the grocery store which i will liken to the maths class is at the point 7.

Thus, the distance between both points when we take absolute values into consideration is; |-5|+|7|

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Find the length of a using
the Pythagorean Theorem.
8
a
6
Hint: a² + b² = c²
Round your answer to the nearest tenth.

Answers

Answer:5.3

Step-by-step explanation:

using the Pythagorean theorem 8²-6²=28    √28=5.3

5

Step-by-step explanation:

Pythagoras theorem states that

a²+b²=c²

therefore a²=b²-c²

a²=8²-6²

a=√8²-6²

=√64-36

=√28

=5.3 or approximately 5

Given g(x)=-3x-3 solve for x when g(x)=0

Answers

The answer for this is -3
0=-3x-3 add 3 each side

-3x=3 divide -3 each side

Answer: x=-1

Line K is represented by the equation y = -3/2x + 1. Line L is perpendicular to line K and passes through the point (6,2). Determine the equation is line L.

Answers

Answer:

y = (2/3)y - 2

Step-by-step explanation:

Linear equations of the form y=mx+b, describe the slope, m, and the y-intercept, b (the value of y when x=0).  

Line K

y = -(3/2)x + 1 tells us that it has a slope of -(3/2) and crosses the y axis (x=0) at y = 1.  

Perpendicular Lines

Perpendicular lines have a useful property in that they have a slope that is the "negative inverse" of the line they are perpendicular to.  If, for example, we were ever asked  what is the slope of a line perpendicular to Line L (yes, it happens), we could, with minimal effort, respond "It is the negative inverse of -(3/2)," which is a slope of (2/3).

Line L

We just accidently answered a key question when we found the negative inverse of the slope for Line K, (2/3).  That will be the slope of Line L that will make it perpendicular to Line K.

Line L will have the form y = (2/3)x + b

This line will be perpendicular to Line K, no matter the value of b.  But we want a perpendicular line that goes through point (6,2), so we need to find a value of b that will force it to go through that point.

The role b has in our equation is simply moving it up or down.  If b were 0, the line will go through the origin (0,0).  If b were 5, it would interect the y axis at 5 (0,5).  We could draw a graph and get a pretty good idea what b would have to be for the line to go throgh (6,2), but most prefer the easier route:  Use the (x,y) value in the above equation and solve for b.  Its easy, and works great:

   y = (2/3)x + b for (6,2)

  2 = (2/3)(6) + b

   b = 2 - (2/3)*(6)

   b = 2 - 4

    b = -2

The equation for Line L is thus:  y = (2/3)y - 2

See the attached graph.  Included are equations [marked Demo Line 1 and 2] with 2 random values of b (1 and 0), in order to:

demonstrate how b impacts the line, andsuggest try using DESMOS as a free online graphing tool.

cook-it rice cooker has a mean time before failure of 38 months with a standard deviation of 4 months, and the failure times are normally distributed. what should be the warranty period, in months, so that the manufacturer will not have more than 7% of the rice cookers returned? round your answer down to the nearest whole number.

Answers

In 40 months, so that the manufacturer will not have more than 7% of the rice cookers returned.

Define p- value.

A p-value calculates the likelihood of getting the outcomes that were observed, presuming that the null hypothesis is correct. The statistical significance of the difference that was found increases with decreasing p-value. Statistical significance is commonly defined as a p-value of 0.05 or less. The sample data, test type, and sampling distribution of the test statistic under the null hypothesis are used to determine the p-value (lower-tailed test, upper-tailed test, or two-sided test).

Given,

Cook-it rice cooker has a mean time before failure of 38 months with a standard deviation of 4 months, and the failure times are normally distributed.

The 7th percentile, or X when Z has a p-value of 0.08, or X when Z = 0.4720, should serve as the warranty period.

Z = X - Mean/ standard deviation

0.472 = x - 38/4

0.472 (4) - x - 38

1.888 = x - 38

x = 39.88

x = 40

In 40 months, so that the manufacturer will not have more than 7% of the rice cookers returned.

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Find the value of r so that the line passing through (-3, r) and (7,-6)
has a slope of 2 2/5
r =

Answers

The value of r is -10 for line with slope 2/5 .

What is slope?

A line's slope, often known as its gradient, is a numerical representation of the line's steepness and direction.

Main Body:

We know that the slope of line in two point form is

(y₂-y₁)/(x₂-x₁) = m where m = slope

given points are (-3,r) and (7,-6) m= 2/5

(-6-r)/(7+3)= 2/5

(-6-r)/10 =2/5

therefore value of r= -10

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A coin is weighted so that the probability of Heads is five times the probability of Tails. This coin is flipped
twice. What is the probability that both Heads and Tails are flipped?
A.5/36
B.8/25
C.5/24
D.None of the above

Answers

If a coin is weighted so that the probability of heads is five times the probabily of tails, that means :

+) P(head) + P(tail) = 1
+) P(head) = 5P(tail)

Therefore, P(head) = 5/6 ; P(tail) = 1/6

For both head and tail to be flipped, the events must happen together.

Therefore, we have the probabilty that both head and tail is flipped = 5/6 x 1/6 = 5/36.

Find the perimeter of the parallelogram. (please answer asap! ty!)

Answers

Perimeter of the parallelogram is 20 units.

According to question,

3 + x = 2a - 4

     x = 2a - 4 - 3

    x = 2a - 7

Diagonals in a parallelogram bisects each other.

Therefore, 2a - 7 = 3

                       2a = 3 + 7

                       2a = 10

                          a = 10/2

                          a = 5

a - 1 = 4b - 6

5 - 1 = 4b - 6

    4 = 4b - 6

  4b = 4 + 6

   4b = 10

     b = 10/4

     b = 5/2

Opposite sides of a parallelogram are equal.

Therefore, c - 2 = 2b

                  c - 2 = 2(5/2)

                  c - 2 = 5

                       c = 5 + 2

                       c = 7

Sides of parallelogram,

Side 1 = 12 - c

          = 12 - 7

          = 5

Side 2 = c - 2

           = 7 - 2

           = 5

Perimeter of parallelogram = 2(length of side 1 + length of side 2)

                                             = 2(5 + 5)

                                             = 2 * 10

                                             = 20

Hence, perimeter is 20 units.

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Use polynomial long division to find the quote and the remainder when 2x^3-4x^2-x+2 is divided by X+2

Answers

The quotient of the polynomial is 4x - 9 and the remainder is 20

What are Quotient and remainder?

The resultant of the division is called the quotient while the Remainder is the number that is left after division.

In long division, the terms on top of the division symbol are called the quotient while that at the bottom is called the remainder.

When a division has no remainder it means that the polynomial is divisible by the divisor.

The body of the calculation is found in the attached file below.

In conclusion, the Quotient and remainder are 4x - 9 and 20 respectively.

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HELP
(2, -1); m = 5/4


Answers

Answer:

part b

y + 1 = 5/4(x - 2)  

part c

y - 5 = 3(x - 0) or y - 5 = 3(x)

Step-by-step explanation:

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