What polynomial will produce the sum 7x^2-x+3 when added to 3x^2-5x+4

The given information is:

-Your starting salary is $78,386.15

-The raise after 1 year is 7.6%=0.076

You need to round your income to the nearest ten-thousand:

And round the rate of your raise to the nearest hundredth:

The estimated amount of your raise, based on these rounded numbers is:

The answer is $6400.

The steps taken to bisect the line segment of 5.8m is as shown below and as attached.

The steps to bisect the line segment are as follows;

Step 1:  Draw a line segment AB=5.8 cm.

Step 2: Taking A as center and radius more than  ¹/₂AB, draw two arcs, one on either side of AB.

Step 3: Taking B as center and the same radius draw two arcs, cutting the previously drawn arcs at points C and D respectively.

Step 4: Join CD, intersecting AB at point P. Then, line CPD is the required perpendicular bisector of AB as shown in the above attached.

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Answer: They charge the same amount.

Step-by-step explanation:

Answer:

d = 5 is a solution to the equation 13 - d = 8

Step-by-step explanation:

We have to solve 13 - d = 8

Now,

13 - d = 8,

We add d on both sides,

13 - d + d = 8 + d

13 = 8 + d

we subtract 8 from both sides,

13 - 8 = 8 - 8 + d

5 = d

d = 5

Hence the answer is 5

The area of the figure is 96 square inches

From the question, we have the following parameters that can be used in our computation:

The composite figure

The area is the sum of the areas of the individual shapes that make up the figure

Using the above as a guide, we have the following:

Area = 10 * 2 + 10 * 2 + 8 * 7

Evaluate

Area = 96

Hence, the area is 96 square inches

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Answer:

C is a monomial

Step-by-step explanation:

Attached are some example of monomials

Hope this helps!

The prime number that cannot be in the set is A . 2.

Prime number:

In math, prime number is a natural number greater than 1 that is not a product of two smaller natural numbers

Given,

Here we need to find the prime number that is not in the set, if if the sum of a set of ten different positive prime numbers is an even number.

Here we know that, all prime numbers except the first prime number are odd except 2.

And here we assume that the two prime numbers are different,

So, if one of the prime number is 2 which is even, the other prime number would be odd and hence sum of the prime numbers would be odd as sum of an even and an odd number is always odd.

Where as if none of the prime numbers are odd, then both the prime numbers would be odd and hence sum of the prime numbers would be even as sum of two odd numbers is always even.

There the correct option is A. 2.

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A scatter plot, because it would show the association, or relationship, between the two variables

From the question, we have the following parameters that can be used in our computation:

The table of values

To show the relationship and association between data values, the data values are best represented on a scatter plot

using the above as a guide, we have the following:

The most appropriate to construct for the data is (b)

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Answer:0.75 just divide us top number by bottom ez

Step-by-step explanation:

The set of values that we are permitted to enter into our function is referred to as the domain of a function. The x values for a function f make up this collection (x). A function's range is the range of values that it can accept as input. When we enter an x value, the function outputs this set of outcomes.

(a) f - {1 2 3 4 5} -> {1 2 1 2 1}

This function is neither injective nor surjective. It is not injective because f(1) = f(3) = f(5) = 1, and it is not surjective because 2 is not in the range.

(b) f - {1 2 3 4 5} -> {1 2 3 1 2}

This function is neither injective nor surjective. It is not injective because f(1) = f(4) and it is not surjective because 3 is not in the range.

(c) f(x) = { x if x < 3, x - 3 if x > 3}

This function is both injective and surjective, and hence bijective. It is injective because each element in the domain maps to a unique element in the codomain, and it is surjective because every element in the codomain is mapped to by at least one element in the domain. Hence, this function is bijective.

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Tο summarize, here are the classificatiοns fοr each functiοn:

(a) f(x) = {1 2 1 2 1} is neither injective nοr surjective.

(b) f(x) = {1 2 3 1 2} is neither injective nοr surjective.

(c) f(x) = { x if x < 3 x -3 if x > 3 } is neither injective nοr surjective.

In mathematics, a functiοn definitiοn is a statement that defines a relatiοnship between input values (called the dοmain) and οutput values (called the cοdοmain οr range). A functiοn takes an input value and prοduces a unique οutput value based οn a certain rule οr algοrithm.

(a) The functiοn is neither injective nοr surjective. It is nοt injective because bοth 1 and 2 are mapped tο 1, sο there are multiple inputs that map tο the same οutput. It is nοt surjective because the οutput 3 is never used.

(b) The functiοn is neither injective nοr surjective. It is nοt injective because bοth 1 and 2 are mapped tο the οutput 1, sο there are multiple inputs that map tο the same οutput. It is nοt surjective because the οutput 3 is never used.

(c) The functiοn is neither injective nοr surjective. It is nοt injective because bοth 3 and 4 are mapped tο the οutput 0, sο there are multiple inputs that map tο the same οutput. It is nοt surjective because the οutput 1 is never used.

Hence,

Tο summarize, here are the classificatiοns fοr each functiοn:

(a) f(x) = {1 2 1 2 1} is neither injective nοr surjective.

(b) f(x) = {1 2 3 1 2} is neither injective nοr surjective.

(c) f(x) = { x if x < 3 x -3 if x > 3 } is neither injective nοr surjective.

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Answer:

See below

Step-by-step explanation:

For the second step, \(\angle T\cong\angle R\) by Alternate Interior Angles. The rest of the steps appear to be correct.

The value that would have the most dots on a line plot is given as follows:

4.25.

The dot plot gives a dot to each measure for each time that it appears, hence it says the same thing as a table, in a different format.

A line plot is built from the dot plot, in which:

Hence the value 4.25 is the value in this problem that would have the most dots in a line plot, as it is the value that appears the most times in the data-set (only value to appear three times).

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If Santiago has been approved for a mortgage up to $195,000 and the conventional loan requires a 20% down payment, then his down payment will be:

Down payment = 20% * $195,000

Down payment = $39,000

Therefore, if Santiago buys a house for the maximum amount he has been approved for, he will need to make a down payment of $39,000.

To calculate how much house Santiago can afford, we need to subtract the down payment from the total amount he has been approved for:

Maximum home price = Total mortgage amount - Down payment

Maximum home price = $195,000 - $39,000

Maximum home price = $156,000

Therefore, Santiago can afford a home up to a maximum price of $156,000.

To summarize:

Santiago's down payment will be $39,000.

Santiago can spend up to $156,000 on a house.

I'm sorry to disturb but can you please mark me BRAINLEIST if this ans is helpfull

Answer:

6/1 is equal to 6.

Step-by-step explanation:

Any number divided by 1 results in the same number. So, 6/1 = 6.

Value of other fractions:
1/6 = 0.166
6/6 = 1
6/10 = 0.6
6/60 = 0.1

Hope it helps ⚜

Answer:

Expand the brackets to obtain your answers:

1. f(x)=x²-4x-12

2. f(x)=x²-x-12

3. f(x)=x² -11x-12

4. f(x)=x²+x-12

Step-by-step explanation:

Answer:

75%

Step-by-step explanation:

Answer:

Line: I(x)= 28x+400

Step-by-step explanation:

Initial amount= $400

Interest rate= 7% simple

Total interest:

The graph for this function will be a line with equation:

I(x)= 400+400*0.07x= 28x+400, where I- interest, x- year

The required reverse Euclidean algorithm is the solution to the modular equation (5x) mod 91 is

x = 6(mod 91).

Given that (5*x) mod 91 =32.

To solve the modular equation (5*x) mod 91 =32 using reverse Euclidean algorithm is to find the modular inverse of 5 modulo 91.

Consider  (5*x) mod 91 =32.

5x = 32(mod 91)

Apply the Euclidean algorithm to find GCD of 5 and 91 is

91 = 18 * 5 + 1.

Rewrite it in congruence form,

1 = 91 - 18 *5

On simplifying the equation,

1 = 91 (mod 5)

The modular inverse of 5 modulo 91 is 18.

Multiply equation by 18 on both sides,

90x = 576 (mod91)

To obtain the smallest positive  solution,

91:576 = 6 (mod 91)

Divide both sides by the coefficient of x:

x = 6 * 90^(-1).

Apply the Euclidean algorithm,

91 = 1*90 + 1.

Simplify the equation,

1 + 1 mod (90)

The modular inverse of 90 modulo 91 is 1.

Substitute the modular inverse in the given question gives,

x = 6*1(mod 91)

x= 6 (mod91)

Therefore, the solution to the modular equation (5x) mod 91 is

x = 6(mod 91).

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Answer:

Step-by-step explanation:

The order for FCFS is: 20->10->22->20->2->40->6->38.

Distance is

10+12+2+18+38+34+32 = 146

cylinders, so time is

146* 6 = 876 sec.

The order for elevator is:

20->20->22->38->40->10->6->2.

Distance is

0+2+16+2+30+4+4 = 58

cylinders, so time is

58 * 6 =348 msec.

The order for CCN is:

20->20->22->10->6->2->38->40.

Distance is

0+2+12+4+4+36+2 = 60

cylinders, so time is 60 * 6 =360 msec.

There is a Rotation of 180 degrees

What is Co-ordinate Geometry?

A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.

We are given that point A is (4, 5) this means that the point lies in the First Quarter of the Co-ordinate System

and the transformed point lies in the Third Quarter of the Co-ordinate System

So, it can be very well said that there is a Rotation of 180 degrees

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Answer:

nice handwriting

Step-by-step explanation:

The surface area of the figure is approximately 997.5π cm².

We have,

The figure has two shapes:

Cone and a semicircle

Now,

The surface area of a cone:

= πr (r + l)

where r is the radius of the base and l is the slant height.

Given that

r = 15 cm and l = 19 cm, we can substitute these values into the formula:

= π(15)(15 + 19) = 885π cm² (rounded to the nearest whole number)

The surface area of a semicircle:

= (πr²) / 2

Given that r = 15 cm, we can substitute this value into the formula:

= (π(15)²) / 2

= 112.5π cm² (rounded to one decimal place)

The surface area of the figure:

To find the total surface area of the figure, we add the surface area of the cone and the surface area of the semicircle:

Now,

Total surface area

= 885π + 112.5π

= 997.5π cm² (rounded to one decimal place)

Therefore,

The surface area of the figure is approximately 997.5π cm².

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The value of g(x) is (x^3+5) and g(64) = 262149.

According to the statement

we have given that the

f(x)=√x^3 and (fog)(x)=√(x^3+5) and we have to find the value of the g(64).

So, For find the value of g(64), Firstly we have to find the g(x).

So,

We given that

f(x)=√x^3 and (fog)(x)=√(x^3+5)

And here the formula used is

(f o g)(x) = f (g(x))

here (fog)(x)=√(x^3+5) and f(x)=√x^3

From this we get g(x) is (x^3+5)

So,

g(x) = (x^3+5) and

g(64) = ((64)^3+5)

g(64) = 262149.

So, The value of g(x) is (x^3+5) and g(64) = 262149.

Disclaimer: This question was incomplete. Please find the full content below.

Question:

If f(x)=√x^3 and (fog)(x)=√(x^3+5). Then find the value of g(64).

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I take this to mean \(f(x) = \sqrt{x^3}\) and \((f\circ g)(x) = \sqrt x\).

Let's first find the inverse of \(f\).

\(f\left(f^{-1}(x)\right) = \sqrt{\left(f^{-1}(x)\right)^3} = x \\\\ \implies \left(f^{-1}(x)\right)^3 = x^2 \\\\ \implies f^{-1}(x) = x^{2/3}\)

(Note that \(f\) is defined only if \(x^3\ge0\), or \(x\ge0\).)

Apply the inverse of \(f\) to \(f\circ g\).

\((f\circ g)(x) = f(g(x)) = \sqrt x \\\\ \implies f^{-1}\left(f(g(x))\right) = f^{-1}(\sqrt x) \\\\ \implies g(x) = \left(\sqrt x\right)^{2/3} = \left(x^{1/2}\right)^{2/3} = x^{1/3} = \sqrt[3]{x}\)

Then

\(g(64) = \sqrt[3]{64} = \sqrt[3]{4^3} = \boxed{4}\)

Answer:

t=1.283 seconds and

0.779 seconds

Step by step Explanation:

Given: h=18 ft

The given equation is h=2+33t-16t²

Then if we substitute the value of given h, h=18 ft into the given equation we have,

18=2+33t-16t²

Then if we re- arrange we have

16t²−33t+16=0

We can see that the above quadratic equation is in standard form, with a=16, b=33 and c=16 then we can use quadratic formula in solving it which is

t= −(−33±√[(−33) ²−4×16×16)]/(2×16)

= [33±√[1089−1024]/(32)

= [33±√[65]/(32)

=1.283 or 0.779 seconds

the two real roots , of the quadratic are:

1.283 and

0.779 seconds

t= 1.283 or 0.779 seconds

Hence, the ball is at 18 feet with height 0.779seconds after it has been thrown up and,

and is at 21 feet with height 1.283 seconds after after thrown down

Answer:

1 pound of peanuts cost 3 dollars

1 pound of wallnuts costs 2 dollars

Step-by-step explanation:

24/6=4

12/6=2

The total weight of Rice that Mark buys is given as follows:

2.5 pounds.

The total weight of Rice that Mark buys is obtained applying the proportions in the context of the problem.

The weight of each bag is given as follows:

5/8 pounds = 0.625 pounds.

The number of bags is given as follows:

4 bags.

Hence the total weight of Rice that Mark buys is given as follows:

4 x 0.625 = 2.5 pounds.

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3 ÷ 4​ is fractional part lies between number line 0 and 1.

A fraction is a mathematical expression that represents a part of a whole or a ratio between two quantities. It consists of two numbers separated by a horizontal or diagonal line, called the numerator and the denominator

To show 3 ÷ 4 on a number line, you can follow these steps:

Image is attached below.

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