simplify the expression
​

Answer:

=3. The remainder of given polynomial is 3.

Let us take polynomial f(x) as dividend and linear expression as divisor.

The linear expression should be in the form of x-a.

Then, the remainder value of polynomial will become f(a).

So, substitute the c value in the polynomial expression and evaluate to get the remainder value.

Answer:

D)

and

n=1

AD=7.07

Step-by-step explanation:

hope it helps

Answer:

D. Irrational

Step-by-step explanation:

[tex] \sqrt{13} \: is \: an \: \purple{\bold {irrational}} \: number.[/tex]

Complete Question:

{(–9, 1), (–5, 2), (0, 7), (1, 3), (6, –10)} Josiah claims that the ordered pair (6, –10) can be replaced with any ordered pair and the set will still represent a function. Select all ordered pairs that could be used to show that this claim is incorrect.

A. (–10, –10)

B. (–9, –6)

C. (–5, 1)

D. (1, 12)

E. (4, 7)

Answer:

[tex]B.\ (-9, -6)[/tex]

[tex]C.\ (-5, 1)[/tex]

[tex]D.\ (1, 12)[/tex]

Step-by-step explanation:

A relation is represented as:

[tex]R->\{(x_1,y_1),(x_2,y_2),(x_3,y_3)...(x_n,y_n)\}[/tex]

Where

[tex]x = domain[/tex]

[tex]y = range[/tex]

For a relation to be a function, the domain must be unique and must not be repeated.

In the given function,

[tex]\{(-9, 1), (-5, 2), (0, 7), (1, 3), (6, -10)\}[/tex]

The domains are [tex]\{-9,-5,0,1,6\}[/tex]

So, if (6,-10) is to be replaced;

The domain of the ordered pair that will replace it must not be any of [tex]\{-9,-5,0,1,6\}[/tex]

From the list of given options:

[tex]B.\ (-9, -6)[/tex]

[tex]C.\ (-5, 1)[/tex]

[tex]D.\ (1, 12)[/tex]

The above can not replace (6,-10) because their domain exist already.

Answer:

I believe its the bubonic plague but I'm not quite sure

Answer:

3611/12

Step-by-step explanation:

Answer:

2760

Step-by-step explanation:

Hope this helps :)

Answer:

92 x 30 = 2760

Step-by-step explanation:

[tex]92 x 30 = 2760[/tex]

Answer:

25%

Step-by-step explanation:

8/32=1/4=0.25

The complete sentence with correct number is,

⇒ 8 is 25% of 32.

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

We have to given that;

To find 8 is what percent of 32.

Let 8 is x percent of 32.

Now, We can formulate;

⇒ x% of 32 = 8

Solve for x;

⇒ x/100 × 32 = 8

⇒ 32x = 8 × 100

⇒ 32x = 800

⇒ x = 800 / 32

⇒ x = 25

Thus, The complete sentence with correct number is,

⇒ 8 is 25% of 32.

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Answer:

Explanation:

355 · 199 = $70,645

$70,645 + $1,068 = $71,713

- PNW

Answer:

L x (.3 * L) = Area

Step-by-step explanation:

30% = 0.3  so width = 0.3 times L

area is L x W

The required area of rectangle is 5070 square ft.

A rectangle is a part of a quadrilateral, whose sides are parallel to each other and equal.

Given that,

The width of a rectangle is 30% of the length.

And the perimeter of the rectangle is 338 ft.

Let the length of the triangle is l,

Since, width is 30%,

Therefore, width = 0.3 l

Perimeter of rectangle = 2(l + b) = 338

2 (l + 0.3l) = 338

2 x 1.3l = 338

l = 130

Width = 0.3 l = 0.3 x 130 = 39

The area of rectangle = length x width = 130 x 39 = 5070

The area of the rectangle is 5070 square ft.

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The complete question is,

The width of a rectangle is 30% of the length. The perimeter of the rectangle is 338 ft. Find the area of the rectangle.

Answer:

A

Step-by-step explanation:

23 x 2 = 46

Answer:

Since both terms are perfect cubes, factor using the difference of cubes formula,

a^3 − b^3 =( a−b) (a^2+ ab +b^2 ) where a=z and

b=5y.

4(z−5y)(z2+5zy+25y2)

Answer:

see explanation

Step-by-step explanation:

here,

step by step explanation

4x+5=3x+4

or 4x-3x=4-5

or x= -1

you said -1 in the value of this equation.

Answer:

no solution

Step-by-step explanation:

Answer:

Seats on small jet = x = 46 seats

Seats on large jet = y = 78 seats

Step-by-step explanation:

Let

Seats on small jet = x

Seats on large jet = y

4x + 3y = 418 (1)

5x + 3y = 464 (2)

Subtract (1) from (2)

5x - 4x = 464 - 418

x = 46 seats

Substitute x = 46 into (1)

4x + 3y = 418

4(46) + 3y = 418

184 + 3y = 418

3y = 418 - 184

3y = 234

y = 234/3

y = 78 seats

Seats on small jet = x = 46 seats

Seats on large jet = y = 78 seats

The flights on small jets each had 46 seats, and the flights on large jets each had

78 seats.

Answer:

2.2

Step-by-step explanation:

Order of operations states that you begin with what is in the parentheses followed by exponents, multiplication/division, then addition/subtraction from left to right. 9 times 0.3 is 2.7. 2.7 - 0.5 = 2.2.

Answer:

2.2

Step-by-step explanation:

(9 x 0.3) -0.5

do the multiplication that's in the ( ) first

2.7-0.5= 2.2

Step-by-step explanation:

The square root of 3 is the positive real number that, when multiplied by itself, gives the number 3. It is denoted mathematically as √3. It is more precisely called the principal square root of 3, to distinguish it from the negative number with the same property. The square root of 3 is an irrational number. 

Answer: A rate of change is a rate that describes how one quantity changes in relation to another quantity.

Step-by-step explanation: Hope this help

It tells us the average speed. For instance, if you move 10 meters in 4 seconds, then the average rate of change is 10/4 = 2.5 meters per second. This could apply to moving from one location to another.

It could also be used to describe how much work you can get done over time.  For example, let's say you paint 5 square meters of a wall per hour. This is the speed at which you get the job done. After 1 hour, you've painted 5 square meters of wall. After 2 hours, you've painted 2*5 = 10 square meters, and so on.

Another example could be how a population is changing. If there are 100 animals at time 5 hours, then the population becomes 200 animals at time 10 hours, then the rate of change is (200-100)/(10-5) = 100/2 = 50 animals per hour. In other words, the population is going up by 50 animals for every hour.

Answer:

The same-side interior angle theorem states that when two lines that are parallel are intersected by a transversal line, the same-side interior angles that are formed are supplementary, or add up to 180 degrees

Step-by-step explanation:

Answer: $30.44

Step-by-step explanation:

$30 20% of tht is 6

30-6=24

tax is 6.4% which is 1.94

24+1.94 which equals $25.94

tips is 15% 4.5 so we add that to $25.94

 so total is $30.44

Answer:

$29.14

Step-by-step explanation:

$30 before tax and discount

20% discount

100% - 20% = 80% = 0.8

0.8 * $30 = $24 after discount before tax and tip

tax: 6.4%

100% + 6.4% = 106.4% = 1.064

1.064 * $24 = $25.54

tip: 15% = 0.15

0.15 * $24 = $3.60

total = $25.54 + $3.60 = $29.14

Answer:

x ≥ -8

Step-by-step explanation:

Answer:

SAY BYE BYE TO JORDAN HOWS AUSTIN?

Step-by-step explanation:

Answer:

I haven't talked to you in awhile, how r u?

Answer:

-9 1/4

Step-by-step explanation:

So what I did was that I put it this for which was -((5+3)+(3/4+1/2)

which then you would get -(8+(3/4+1/2)) which gives you -(8+5/4) because you would convert the 1/2 into 2/4 making it to get 5/4. So then you add the -(8+5/4) which gives you -9 1/4.

Hope this helped!

Answer:

Step-by-step explanation:

Using the Pythagoras theorem equation:

[tex]c^{2}=a^{2}+b^{2}[/tex]

Where 'c' is the hypotenuse and 'b' and 'a' the sides of the right triangle.

1) Here c = 17, a = 8 and b = ?

Then, using the above equation we can find the side b.

[tex]17^{2}=8^{2}+b^{2}[/tex]

[tex]b=\sqrt{225}[/tex]

[tex]b=15[/tex]

2) Here a = 24, b = 45 and c = ?  

[tex]c=\sqrt{24^{2}+45^{2}}[/tex]

[tex]c=51[/tex]

3)  Here a = 28, b = 96 and c = ?

[tex]c=\sqrt{28^{2}+96^{2}}[/tex]    

[tex]c=100[/tex]

4)  Here a = 17, b = ? and c = 28

[tex]b=\sqrt{28^{2}-11^{2}}[/tex]  

[tex]b=25.75[/tex]

Just in the 4 case x is an altitude.

I hope it helps you!

The greatest common factor (GCF) of 20 and 24 is 4, by using both methods which are Listing Factors and  Prime Factorization.

What is the Prime Factorization method?

Divide the given number by the smallest prime number. In this case, the smallest prime number should divide by the number exactly. Step 2: Again, divide the quotient by the smallest prime number. Step 3: Repeat the process, until the quotient becomes 1.

To find the greatest common factor (GCF) of 20 and 24, we can use the following methods:

Method 1: Listing Factors

List the factors of 20: 1, 2, 4, 5, 10, 20

List the factors of 24: 1, 2, 3, 4, 6, 8, 12, 24

Find the largest factor that both numbers share: 4

Therefore, the GCF of 20 and 24 is 4.

Method 2: Prime Factorization

Find the prime factorization of each number: 20 = 2 x 2 x 5, 24 = 2 x 2 x 2 x 3

Identify the common prime factors: 2 x 2 = 4

Therefore, the GCF of 20 and 24 is 4.

Either method shows that the greatest common factor of 20 and 24 is 4.

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Answer:

The equation of the parabola in vertex form is [tex]x-6 = \frac{1}{16}\cdot (y-6)^{2}[/tex].

Step-by-step explanation:

Since the directrix is of the [tex]x = a[/tex], then the equation of the parabola in vertex form is of the form:

[tex]x-h = \frac{1}{4\cdot p}\cdot (y-k)^{2}[/tex] (1)

Where:

[tex]x[/tex] - Dependent variable.

[tex]y[/tex] - Independent variable.

[tex]p[/tex] - Least distance between focus and directrix.

[tex]h[/tex], [tex]k[/tex] - Coordinate of the vertex.

The least distance between focus and directrix is determined by Pythagorean Theorem:

[tex]p = \sqrt{(8-4)^{2}+(6-6)^{2}}[/tex]

[tex]p = 4[/tex]

Now, we determine the location of the vertex by the following vectorial formula:

[tex](h,k) = F(x,y) - (0.5\cdot p, 0)[/tex] (2)

If we know that [tex]p = 4[/tex] and [tex]F(x,y) = (8,6)[/tex], then the location of the vertex is:

[tex](h,k) = (8,6) -(2, 0)[/tex]

[tex](h,k) = (6,6)[/tex]

And the equation of the parabola in vertex form is [tex]x-6 = \frac{1}{16}\cdot (y-6)^{2}[/tex].

Answer:

y=9b to the second power t over m

Step-by-step explanation:

should look like this

y=9b^2t/m