Factor the polynomials to find if x - 5 is a root of the polynomial x^3 - 2x^2 - 13x - 10. (Use synthetic division or long division). Picture attached and answer options below.

Step-by-step explanation:

To solve for n, we need to isolate the variable n.

Multiply both sides of the equation by 3 to cancel out the 3 on the left side, and multiply 3 by 16 to get our final answer.

[tex]\frac{n}{3}*3=n\\16*3=48[/tex]

Our final answer: n = 48

Answer:

C

Step-by-step explanation:

[tex]\frac{3-\sqrt{3} }{3+\sqrt{3} } *\frac{3-\sqrt{3} }{3-\sqrt{3} } \\\\=\frac{(3-\sqrt{3})^{2} }{(3+\sqrt{3} )(3-\sqrt{3} )} \\\\=\frac{9-2*3\sqrt{3}+3 }{9-3}\\\\=\frac{12-6\sqrt{3} }{6} \\\\=2-\sqrt{3}[/tex]

Answer: 20 5/8

Step-by-step explanation:

We did this problem in class and that’s the answer we got

Answer:20 5/8

Step-by-step explanation:

i think this is correct

Answer:

22

Step-by-step explanation:

|-15 - 7|

-15 - 7 = -22

|-22| = 22

Answer:

its an INTEGER , a RATIONAL NUMBER and a REAL NUMBER

all are correct

hope it helps (✷‿✷)

Answer:

x = 2

Step-by-step explanation:

Given

5x - 4 = - 3x + 12 ( add 3x to both sides )

8x - 4 = 12 ( add 4 to both sides )

8x = 16 ( divide both sides by 8 )

x = 2

Answer:

See below

Step-by-step explanation:

Produce 5 using four 2's:

Solution 1

Solution 2

Solution 3

Answer:

1000 cubic centimeter

So this will be right and also an accurate answer

Answer:

Step-by-step explanation:

Just multiply the volume value by 1000.

Answer:

D.) The mathematical range is all real numbers greater than 0. The reasonable range is all whole numbers greater than 0 and less than others equal to 60,000.

Step-by-step explanation:

The statement that compares the mathematical range and reasonable range of the function is the mathematical range is all real numbers greater than 0. The reasonable range is all whole numbers greater than 0 and less than or equal to 262,144. The correct option is D.

A computer program is a set of instructions written in a programming language that a computer can execute. The software contains computer programs as well as documentation and other intangible components.

A program, or software program, is a set of instructions that guides the hardware of a computer to complete a task.

Therefore, the correct option is D, The mathematical range is all real numbers greater than 0. The reasonable range is all whole numbers greater than 0 and less than or equal to 262,144.

To learn more about computer programs, refer to the link:

https://brainly.com/question/14618533

#SPJ2

Answer:

x = 10     x = -2

Step-by-step explanation:

(x-4)^2 -28 = 8

This is a parabola on the left and a constant line on the right.  The parabola will cross the line twice, so there will be two solutions

see attached

Add 28 to each side

(x-4)^2 -28+28 = 8+28

(x-4)^2  = 36

Take the square root of each side

sqrt((x-4)^2) = ±sqrt(36)

x-4 = = ±6

Add 4 to each side

x-4+4 = 4±6

x = 4+6    x = 4-6

x = 10     x = -2

Answer:

x = 10, and x = - 2

Step-by-step explanation:

This equation has two solutions, as it resembles a quadratic equation. When graphed it will be a parabola, and hence intersects the x - intercept at two points, giving us two solutions.

Let's start by expanding the equation,

(x - 4)² - 28 = 8,

(x - 4)² = 28 + 8,

(x - 4)² = 36,

x - 4 = √36, and x - 4 = - √36

x - 4 = 6, and x - 4 = - 6

Solution(s) : x = 10, and x = - 2

Answer:

Her velocity is 95 km/hour

Step-by-step explanation:

The given information includes;

The direction to which Anna was driving = Eastward

Her initial location on the journey = 570 kilometres west of her her exit

The distance she drove in 2 hours = 1/3 of the way to her exit

Therefore, the distance she drove in 2 hours = 1/3×570 = 190 m

Her velocity = Her distance covered/(The time it take to cover the distance)

Which gives;

Her velocity = (190 km)/(2 hours) = 95 km/hour

Her velocity = 95 km/hour.

Answer:

[tex]\huge\boxed{12 \ people}[/tex]

Step-by-step explanation:

By looking at the range of histogram , we come to know that:

People who walked for 0-2 hours = 5

People who walked for 2-4 hours = 17

People who walked for 4-6 hours = 12

People who walked for 6-8 hours = 9

People who walked for 8-10 hours = 3

Answer:

12 people

Step-by-step explanation:

We want to find the number of people between 4 and 6 hours

Reading the chart, the third bar is between 4 and 6 hours

12 people

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

Explanation:

Everywhere you see an x, replace it with -5. Then use the order of operations PEMDAS to simplify

[tex]f(x) = -x^2 - 7x - 5\\\\f(-5) = -(-5)^2 - 7(-5) - 5\\\\f(-5) = -(25) - 7(-5) - 5\\\\f(-5) = -25 + 35 - 5\\\\f(-5) = 10 - 5\\\\f(-5) = 5\\\\[/tex]

Keep in mind that for the x^2 term, you are squaring all of x = -5, which includes the negative as well. So that means

x^2 = (-5)^2 = (-5)*(-5) = 25

but sticking a negative out front makes

-x^2 = -(-5)^2 = -25

Answer:

90

Step-by-step explanation:

Be sure to use PEMDAS. Begin with parentheses, the move to multiplication, then adding.

20 + 3(7 + 4) + 5 + 2(7+9)

20 + 3(11) + 5 + 2(16)

20 + 33 + 5 + 32

You can add those final four numbers in any order you want, to get a sum of 90.

Answer:

Your answer will be 90

Step-by-step explanation

First you will have to answer what's inside the parentheses

7 + 4 = 11 , 7 + 9 = 16

Then you multiply what is next to the parentheses

3×11 = 33, 2×16 = 32

Finally you will have to add

20 + 33 =53

53 + 5 =58

58 + 32 = 90

The point is doing PEMDAS

P=Parentheses

E= Exponent

M= Multiplication

D= Division

A= Addition

S= Subtraction

Answer:

34.60°

Step-by-step explanation:

[tex] \tan \theta = \frac {40}{58}[/tex]

[tex] \tan \theta = 0.689655172[/tex]

[tex] \theta =\tan^{-1} 0.689655172[/tex]

[tex] \theta =34.592288671\degree [/tex]

[tex] \theta =34.60\degree [/tex]

Answer:

[tex]\Large \boxed{\theta = 34.59228868\°}[/tex]

Step-by-step explanation:

tan(θ) = 40/58

To isolate theta (unknown angle), we must take the inverse tangent of both the sides.

tan^-1(tan(θ)) = tan^-1(40/58)

The inverse tangent and tangent cancels.

Simplify the equation.

θ =  tan^-1(20/29)

θ = 34.59228868°

Answer:

Step-by-step explanation:

[tex]\frac x8-\frac12\ =\ 6\\\\{}\ \ \cdot8\qquad \cdot8\\\\x-4\ =\ 6\\\\{}\ +4\ \,\quad+4\\\\x\ =\ 10[/tex]

Answer:

ABC is reflected over the line x=1, then translated up 6 units.

The lengths of the sides of the triangles are congruent, so the triangles are congruent.

Step-by-step explanation:

ABC is reflected over the line x=1, then translated up 6 units.

The lengths of the sides of the triangles are congruent, so the triangles are congruent.  

Answer:

A

Step-by-step explanation:

So we have the function:

[tex]f(x)=\frac{3+x}{x-3}[/tex]

And we want to find:

[tex]f(a+2)[/tex]

To do so, substitute in (a+2) for x:

[tex]f(a+2)=\frac{3+(a+2)}{(a+2)-3}[/tex]

Simplify the numerator and denominator. Add 2 and 3 in the numerator. Subtract in the denominator:

[tex]f(a+2)=\frac{5+a}{a-1}[/tex]

The answer is A.

Answer:

[tex]\Large \boxed{\mathrm{A}}[/tex]

Step-by-step explanation:

[tex]\displaystyle f(x) = \frac{3+x}{x-3}[/tex]

For f(a + 2), the input for the function f(x) is (a + 2).

Replacing x with (a + 2).

[tex]\displaystyle f(a+2) = \frac{3+(a+2)}{(a+2)-3}[/tex]

Simplify the rational function.

[tex]\displaystyle f(a+2) = \frac{(3+2)+a}{a+(2-3)}[/tex]

[tex]\displaystyle f(a+2) = \frac{5+a}{a-1}[/tex]

Answer:

It's very easy mate!

Step-by-step explanation:

Ninty eight thousand seven hundred fifty three

that is 98753 in no.s

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

Hi my lil bunny!

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

               [tex]\boxed{98753 }[/tex]    

In word form = Ninety eight thousand seven hundred fifty three

In Number form.= 98753

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

Have a great day/night!

❀*May*❀

Answer:

x = 75

Step-by-step explanation:

Triangle BDH

The angle must add to 180 degrees

36+ 39 + DHB = 180

75 + DHB = 180

DBH = 180-75

DHB = 105

DBH + x = 180 since it is a straight line

105+ x = 180

x = 75

Answer:

Step-by-step explanation:

The point-slope form of the equation can be used for this. It is generally written as ...

  y -k = m(x -h) . . . . . line with slope m through point (h, k)

__

1. For m=-7, (h, k) = (-3, 5), the equation is ...

  y -5 = -7(x +3)

__

2. For m=0, (h, k) = (4, 7), the equation is ...

  y -7 = 0(x -4)

  y = 7

_____

Comment on the form of the answer

Since a point and slope are given, "the equation" is appropriately written in point-slope form. For the second problem the simplified version would be ...

  y -7 = 0

Sometimes, "the equation" means the answer is expected in slope-intercept form. In that case, a little rearranging is necessary for the first answer. It becomes ...

  y = -7x -16

There are perhaps a dozen different forms that a linear equation can be written in. Considering those, "the equation" is somewhat ambiguous. Your curriculum materials may offer a clue as to the form intended.

Answer:

B, C

Step-by-step explanation:

Plug in the x value for each x, and solve. Make sure that the two sides are equal to one another before verifying that it is true.

Equivalent expressions are expressions that have the same values.

The result of [tex]\frac{18}{3} - 7 + 2 \times 5[/tex] is 9

The expression is represented as:

[tex]\frac{18}{3} - 7 + 2 \times 5[/tex]

Using BODMAS, we start by dividing 18 by 3

[tex]\frac{18}{3} - 7 + 2 \times 5 = 6 - 7 + 2 \times 5[/tex]

Evaluate the products of 2 and 5

[tex]\frac{18}{3} - 7 + 2 \times 5 = 6 - 7 + 10[/tex]

Evaluate the sum of -7 and 10

[tex]\frac{18}{3} - 7 + 2 \times 5 = 6 + 3[/tex]

Evaluate the sum of 6 and 3

[tex]\frac{18}{3} - 7 + 2 \times 5 = 9[/tex]

Hence, the result of [tex]\frac{18}{3} - 7 + 2 \times 5[/tex] is 9

Read more about equivalent expressions at:

https://brainly.com/question/2972832

Answer:

-7 is less than or equal to 0

Step-by-step explanation:

range is looking at the correlation on the graph from left to right. At -7, there is a dot and at 0, there is a dot. The graph is not continuous, so that is the answer.

Answer:

(x - 12)² + y² = 100

Step-by-step explanation:

The standard form of the equation of a circle is;

(x - a)² + (y - b)² = r²

where:

a and b are the coordinates of the centre of the circle

r is the radius

We are given the coordinates of the endpoints of the diameter as; (22,0) and (2,0)

Thus, the centre of the circle would be at the mid point of the endpoints of the diameter.

Coordinates of the centre is;

((22 + 2)/2), (0 +0)/2))

This is;

(12, 0)

So, a = 12 and b = 0

Now,to get the radius r, we will use the formula;

r = √[(x2 - x1)² + (y2 - y1)²]

Where;

(x1, y1) and (x2, y2) are 2 points namely (12,0) and (22, 0)

r = √[(12 - 22)² + (0 - 0)²]

r = √(-10)²

r = √100

r = 10

Thus,equation of the circle is;

(x - 12)² + (y - 0)² = 10²

(x - 12)² + y² = 100

Answer:

The car reaches a stop after 8.75 seconds have passed.

Step-by-step explanation:

Answer:

The unit rate is 2 feet per year

Step-by-step explanation:

The graph is missing (See attachment)

To determine the unit growth;

First, we have to pick any two corresponding on the x and y axis

When x = 5; y = 10

When x = 1; y = 2

These can be represented as;

[tex](x_1,y_1) = (5,10)[/tex]

[tex](x_2,y_2) = (1,2)[/tex]

Next, is to determine the slope using;

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Substitute values for x and y

[tex]m = \frac{2 - 10}{1 - 5}[/tex]

[tex]m = \frac{-8}{-4}[/tex]

[tex]m = 2[/tex]

Hence, the unit rate is 2 feet per year

Answer:

the unit rate is 2ft per year i got 100% on a quiz for this

Answer: 9

Step-by-step explanation:

Formula : Mean = [tex]\dfrac{\text{Sum of observations}}{\text{Number of observaions}}[/tex]

Given: 5 students participated in a push-up competition.

The amount of push-ups each student completed is listed: 12, 7, 10, 11,5.

Mean = [tex]\dfrac{12+7+10+77+5}{5}[/tex]

[tex]=\dfrac{45}{5}=9[/tex]

Hence, the mean number of push-ups = 9

You need to find the GCF (greatest common factor) of 45 and 90, which is 45.

45 times ? gets you 45

? would be 1

45 times 1 equals 45.

45 times ? gets you 90

? would be 2

45 times 2 equals 90

45(1+2) = 45+90 = 135

♡ Hope this helps! ♡

❀ 0ranges ❀

Answer:

45(1 + 2)

Step-by-step explanation:

To find the greatest common factor, we find the multiples of 45 and 90.

45: 1, 3, 5, 9, 15, 45

90: 1, 2, 3, 5, 6, 9, 15, 18, 45...

The easier way to do this is divide 90 by 2 to get our GCF, 45.

We place the 45 (GCF) in the first box and we place 1 and 2 in the parentheses because when you distribute, we get our original answer.

45(1 + 2)