Which of the following functions has a factor of x−7?
f(x)=x3−16x2+53x+63
f(x)=x3−2x2−73x−70
f(x)=x3−16x2+53x+70
f(x)=x3−2x2−73x−77

Answer:

[tex]\displaystyle d = \sqrt{74}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Algebra II

Step-by-step explanation:

Step 1: Define

Point (6, 2) → x₁ = 6, y₁ = 2

Point (1, -5) → x₂ = 1, y₂ = -5

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Answer:

a chance that it will not need to be replaced

Step-by-step explanation:

Answer: 24

Step-by-step explanation:

32/4 = 8

3 * 8 = 24

24 + 8 = 32

There are 24 windows in the new wing.

Hope this helped! :)

Answer is Option B) 50

9(6)-4

54-4

50

Answer:

x  =  − 7

Step-by-step explanation:

y = 4.5*x^2-9*x+8.5;4.5;-9;8.5

-(((-9)^2-(4*4.5*8.5))/(4*4.5))

-(-9/(2*4.5))

4.5*0^2-(0*9)+8.5

(7*x^5-(5*x^7))^(1/2)+1/((7*x^5-(5*x^7))^(1/2))

Answer:

15

Step-by-step explanation:

Answer:

Step-by-step explanation:

In order to find that, we simply do:

(100+25)% = 125%

100% = 12 ounces

125% = ?

12*125/100 = 9 ounces

Add it up to the original amount:

12+9 = 21 ounces

Answer:

1. (5y) = 35

2. (6y) = 1

3. (4y) = 2

4. (11y) = 15

5. 18, 24, 42, 60

The number of miles Henry rides his bike in 10 days is 60miles

Step-by-step explanation:

Answer:

2 times became that's correct

Answer:

Step-by-step explanation:

6/9+x=7/10

x=7/10-6/9

when adding fractions both denominators must be equal, we’ll make them 90

x=(7/10)(9/9)-(6/9)(10/10)

x=63/90-60/90

x=3/90, the greatest divisor of 3 and 90 is 3 so divide both the numerator and denominator by 3

x=(3/3)/(90/3)

x=1/30

Answer:

a) [tex]P(t) = 11500 + 425t[/tex]

b) The slope is of 425 people, which is by how much the population increases each year.

c) The vertical intercept is of 11500 people, and it represents the population of Little Townville in the year 2000.

d) 17,875 people.

Step-by-step explanation:

A linear function that measures population after t years has the following format:

[tex]P(t) = P(0) + at[/tex]

In which P(0) is the vertical intercept, which represents the initial population, and a is the slope, which represents the yearly population.

a. Write a function for the population, P, in terms of the number of years since 2000.

The first step is finding the slope.

Finding the slope:

The slope is the change in the output divided by the change in the input, during a period of time.

The population of Little Townville in 2005 was 13,625 people. In 2009 the population grew to 15,325 people.

This means that in 2009 - 2005 = 4 years, the population increased by 15325 - 13625 = 1700.

So the slope is

[tex]a = \frac{1700}{4} = 425[/tex]

So

[tex]P(t) = P(0) + 425t[/tex]

Finding the initial population:

We want to find P(0), which is the population in 2000. The population of Little Townville in 2005 was 13,625 people, which means that [tex]P(5) = 13625[/tex]. So

[tex]P(t) = P(0) + 425t[/tex]

[tex]13625 = P(0) + 425*5[/tex]

[tex]P(0) = 13625 - 425*5[/tex]

[tex]P(0) = 11500[/tex]

So

[tex]P(t) = 11500 + 425t[/tex]

b. What is the slope of the function and what does it represent in the context of the problem. Include units.

The slope is of 425 people, which is by how much the population increases each year.

c. What is the vertical intercept of the function and what does it represent? Include units

The vertical intercept is of 11500 people, and it represents the population of Little Townville in the year 2000.

d. What do you believe the population was in 2015?

2015 is 2015 - 2000 = 15 years after 2000, so this is P(15).

[tex]P(15) = 11500 + 425*15 = 17875[/tex]

17,875 people.

Answer:

851,968

Step-by-step explanation:

26*8*8*8*8*8= 851,968

From the combination of codes, 851,968 employee ID codes can be generated.

Given,
Employee ID codes can be generated.
Each code will have one letter followed by five digits. The digits 2 and 6 will not be used. So, there are 26 letters and 8 digits that will be used.
The number of employee codes to be determined.

In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In a combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.

Required number of  codes = 26 * 8 * 8 * 8 * 8 * 8
                                         = 851,968

Thus, from the combination of codes, 851,968 employee ID codes can be generated.

Learn more about permutations and combinations here: https://brainly.com/question/2295036
#SPJ2

Step-by-step explanation: amazon they have everything

Answer:

B

Step-by-step explanation:

I Had this

Answer:

Step-by-step explanation:

3) 15,39,65

_________

5 )5,13,65

--------------

13  )1,13,13

----------------

   |  1,1,1

L.C.M.=3×5×13=195

They will chime together after 195 minutes.

Answer:

Rational

Step-by-step explanation:

A rational number is any integer, fraction, terminating decimal, or repeating decimal.

good luck, i hope this helps :)

Answer:

The quadratic equation is [tex]h(t) = -318.22t^2 + 954.67t + 12728.89[/tex]

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

[tex]f(x) = ax^{2} + bx + c[/tex]

It's vertex is the point [tex](x_{v}, y_{v})[/tex]

In which

[tex]x_{v} = -\frac{b}{2a}[/tex]

[tex]y_{v} = -\frac{\Delta}{4a}[/tex]

Where

[tex]\Delta = b^2-4ac[/tex]

If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

[tex]ax^{2} + bx + c, a\neq0[/tex].

This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:

[tex]x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}[/tex]

[tex]x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}[/tex]

[tex]\Delta= b^{2} - 4ac[/tex]

Quadratic equation:

[tex]ax^2 + bx + c = 0[/tex]

The rock reaches a maximum height of 676 feet above the ground after 1.5 seconds.

This means that:

[tex]-\frac{b}{2a} = 1.5[/tex]

[tex]y_{v} = -\frac{b^2-4ac}{4a} = 676[/tex]

If the rock hits the ground below the ledge 8 seconds after it is thrown

This means that:

[tex]64a + 8b + c = 0[/tex]

Relation of b and a:

[tex]-\frac{b}{2a} = 1.5[/tex]

This means that:

[tex]b = -3a[/tex]

Relationship of c and a:

[tex]64a + 8b + c = 0[/tex]

[tex]64a - 24a + c = 0[/tex]

[tex]c = -40a[/tex]

Finding a:

[tex]y_{v} = -\frac{(-3a)^2-4a(-40a)}{4a} = 676[/tex]

[tex]9a^2+160a = -2704a[/tex]

[tex]9a^2 + 2864a = 0[/tex]

[tex]a(9a + 2864) = 0[/tex]

Since it is a quadratic equation, a cannot be 0.

[tex]9a + 2864 = 0[/tex]

[tex]9a = -2864[/tex]

[tex]a = -\frac{2864}{9}[/tex]

[tex]a = -318.22[/tex]

Finding b and c:

[tex]b = -3a = -3(-318.22) = 954.67[/tex]

[tex]c = -40a = -40(-318.22) = 12728.89[/tex]

The quadratic equation is given by:

[tex]h(t) = -318.22t^2 + 954.67t + 12728.89[/tex]

The quadratic equation is [tex]h(t) = -318.22t^2 + 954.67t + 12728.89[/tex]

Answer:

d)550

15 * 10 = 150; 150 * 2 = 300

5 * 10 = 50; 50 * 2 = 100

5 * 15 = 75; 75 * 2 = 150

300 + 100 + 150 = 550

Answer:

-3.5,-3,-2 1/2,-2,2.5

Step-by-step explanation:

Least. Greatest

-3.5, -3, -2 1/2, -2, 2.5

Answer:

Angle M = 63

Angle N = 96

Step-by-step explanation:

By exterior angle of triangle:

Angle M + Angle N = 159

(4y+3)+(6y+6)=159

y = 15

Angle M = 4y + 3 = 4(15) + 3 = 63

Angle N = 6y + 6 = 6(15) + 6 = 96

Answer:

9

Step-by-step explanation:

24 - 3(5)

24 - 15

9

good luck, i hope this helps :)

Answer:

x = 9

y = 12

Step-by-step explanation:

-5x + 4y = 3

x = 2y - 15

Manipulate the equations such that the coefficients of two variables are additive inverses

-5x + 4y = 3

x = 2y - 15

Inverse operations

-> 4y - 3 = 5x

-> 2y - 15 = x (*(-5))

->4y - 3 = 5x

-> -10y + 75 = -5x

Now add the equations to eliminate a variable,

4y - 3 = 5x

-10y + 75 = -5x

-6y + 72 = 0

Inverse operations

-6y + 72 = 0

72 = 6y

/6       /6

12 = y

Back solve to find (x)

2y - 15 = x

2(12) - 15 = x

24 - 15 = x

9 = x

Answer: I think it might be A bit Im not sure

Step-by-step explanation:

Answer:

i think its A not suree

Step-by-step explanation:

Answer:

The median is 3.5

Step-by-step explanation:

We want to find the median of the set of values.

First, we need to write the set in ascending order.

We get:

1 five times

2 three times

3 five times

4 two times

5 seven times

6 four times

The median will be the midle value (for example in a set of 5 elements, the middle element is the third one) of this set, then the first part is to write the set, we get:

{1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6}

In this set we have

5 + 3 + 5+ 2  +7 + 4= 26 values

So we will not have a middle value, we need to take the mean of the two middle values (the 13th value and the 14th value)

We can see in the set above that these values are:

3 and 4.

Then we want to take the mean between 3 and 4.

We get:

M = (3 + 4)/2 = 3.5

The median of this set is 3.5

Answer:

[tex]\frac{32}{3}[/tex]

Step-by-step explanation:

you simply multiply the bottom number times the whole number:

10*3 =30

then add the top number:

30+2=32

and finally, you put the 32/3

Answer:

tablet can hold 500000 pages of text .

tablet can hold 1000 books of 500 pages

Answer: the slope should be 6 I’m sure

Step-by-step explanation:

Answer:

y

=

−

6

x

−

1

Step-by-step explanation:

x-1

Answer:

M= 16.8868 ≈ 16.9  

Step-by-step explanation:

Answer:

4/7

Step-by-step explanation:

6-x/x+5 let us take x=2

6-2/2+5=4/7