The expression x^2 - 10x + 24 is equivalent to

Answers

Answer 1

Answer:

[tex](x−6)(x−4)[/tex]

Step-by-step explanation:

[tex]x^2 - 10x + 24[/tex]

[tex] {x}^{2} −6x−4x+24[/tex]

[tex]x(x−6)−4(x−6)[/tex]

[tex](x−6)(x−4)[/tex]

Hope it is helpful...
Answer 2

Answer:

(x - 4 )(x - 6 )

Step-by-step explanation:

[tex]x^2 - 10x + 24 \\\\=x^2 - 6x - 4x +24 \\\\=x(x - 6) -4(x - 6) \\\\=(x - 4)(x-6) \\[/tex]


Related Questions

I need help in this zzzzzzz

Answers

Answer:

[tex]7[/tex]

Solution:

This is a linear function. This means means that r is our rate of change.

To find r recal following formula

[tex]r=\frac{\Delta y}{\Delta x} = \frac{y_2-y_1}{x_2-x_1}[/tex]

Since this is a linear function we can choose any two points. I will choose the first two for simplicity

[tex]\Displaystyle \therefore r = \frac{42-14}{6-2}=\frac{28}{4}=7[/tex]

Which is the graph of f(x) = (2) -x

Answers

Answer:

In other words y = 2-x

Put in some values of x and see which graph matches the given ys.

The last graph

Answer:

b

Step-by-step explanation:

Find three solutions of the equation.
y = -2x - 1

Answers

Step-by-step explanation:

three solutions of the equation:

y = -2x - 1

=>

1) (0, -1)

2) (1, -3)

3) ( -1, 1)

Question 1 of 10
Which of the following is equal to the rational expression when x#5?
x² - 25
X-5
A. x + 5
B. X-5
1
C
x+5
O D. X+5
X-5
SUBMIT

Answers

Answer:

A. x + 5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right

Algebra I

Terms/CoefficientsFactoring

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle \frac{x^2 - 25}{x - 5}[/tex]

Step 2: Simplify

Factor:                                                                                                               [tex]\displaystyle \frac{(x - 5)(x + 5)}{x - 5}[/tex]Divide:                                                                                                            [tex]\displaystyle x + 5[/tex]

Need help!!! Please explain!!!

Answers

g(x) = 4x
h(x) = x + 2

(h(g(x)) = (4x) + 2
= 4x + 2

You’re supposed to substitute the x in h(x) with the function of g(x). I guess you could say you’re putting g(x) in h(x).

Evaluate the following expression. You should do this problem without a
calculator.
In e^e
A. 0

B. e^e

C. 1

D. e

Answers

Answer:ln is called the natural log, or log to the base e. ln can also be written as

So, we can write the given expression as

The property of logs is:

This mean if the number a is raised to log whose base is the same as the number a itself, then the answer will be equal to the argument of the log which is x.

In the given case, the number e and the base of log are the same. So the answer of the expression will be the argument of log which is 6.

so, we can write

Thus, the correct answer is option D

Step-by-step explanation:

I believer the answer is D

If a is a non-zero constant, determine the vertex of y = -3(x + a)^2 - 6

Answers

Answer:

Vertex is (-a, -6), where a ≠ 0.

General Formulas and Concepts:

Algebra I

Coordinates (x, y)Quadratics

Algebra II

Vertex Form: y = a(bx - h)² + k

a is the vertical scale factorb is the horizontal scale factor(h, k) is the vertex

Step-by-step explanation:

Step 1: Define

y = -3(x + a)² - 6

Identify variables

a = -3

b = 1

(h, k) = (-a, -6)

Find the area of this circle in square centimeters. Use 3.14 for π . Round to 2 decimal places if necessary. Enter only the number π

Answers

113.04 is the answer :)

Answer:

113.04 is the answer

Step-by-step explanation:

Use the formula for finding the area of a circle.

Area= pi times radius to the second power.

First you had to divide your diameter by 2 to get 6. Then 6 squared, to get 36. Then finally 36x3.14.

If a firm uses x units of input in process A, it produces 32x3/2 units of output. In the alternative process B, the same input produces 4x3 units of output. For what levels of input does process A produce more than process B?

Answers

Answer:

The outcomes produced by A would be greater than B. A further explanation is provided below.

Step-by-step explanation:

Given:

In process A,

Produced units = [tex]32x^{1.5}[/tex]

In process B,

Produced units = [tex]4x^3[/tex]

If the outcomes are equivalent then,

⇒ [tex]32x^{1.5}=4x^3[/tex]

⇒     [tex]x^{1.5} = 8[/tex]

By taking log both  sides, we get

⇒    [tex]log \ 8= 1.5 \ log \ x[/tex]

⇒          [tex]x=3.99[/tex]

a = 5
an + 1 = 24, -7

Answers

You need to use recursive sequence for this one
Answer: -9
I did it on my final exam. Just two days ago.

Factor the following expressions completely. Show and check all work on your own paper.
x2+169

Answers

Answer:

The factor is polynomial

Step-by-step explanation:

trust me broski

The area of a rectangle is given as x^2+ 5x+6. Which expression represents either the
length or width of the rectangle?
a) (x-3)
b) (x + 6)
c) (x + 1)
d) (x+3)

Answers

Answer:

d) x + 3

Step-by-step explanation:

= x² + 5x + 6

Factorise :-

= x² + 2x + 3x + 6

= x(x + 2) + 3(x + 2)

= (x + 2)(x + 3) [Taking common]

Here we are getting (x + 3) as a factor of x² + 5x + 6 which will be either length or the width

Please help if can and show work

Answers

Answer:

Step-by-step explanation:

Which equation of the solutions of x2 = -7x – 8

Answers

Answer:

x = 1, -5.56

Step-by-step explanation:

x^2 = -7x - 8

shift -7x and -8 to the other side . Remember when u shift minus changes into plus.

x^2 + 7x + 8 = 0

using quadratic equation formula

in quadratic equation one value comes positive and other comes in negative

a = 1  , b = 7 and c = 8

taking positive sign

x = (-b + [tex]\sqrt{b^2 - 4*a*c}[/tex]) /2*a

x = (-7 + [tex]\sqrt{7^2 - 4*1*8}[/tex] ) /2*1

x = (-7 + [tex]\sqrt{49 + 32}[/tex] ) /2

x = (-7 + [tex]\sqrt{81}[/tex] )/ 2

x = -7 + 9 / 2

x = 2/2

x = 1

taking negative sign

(-b - [tex]\sqrt{b^2 - 4*a*c}[/tex] ) /2*a

x = (-7 - [tex]\sqrt{7^2 - 4*1*8}[/tex] ) /2*1

x = (-7 - [tex]\sqrt{49 - 32}[/tex] ) /2

x = -7 - [tex]\sqrt{17}[/tex] / 2

x = -7 - 4.12 / 2

x = -11.12/2

x = -5.56

therefore x = 1 , - 5.56

Answer:

[tex]x = \frac{- 7 + \sqrt{17}}{2} \ , \ x = \frac{-7 - \sqrt{17}}{2}[/tex]

Step-by-step explanation:

[tex]x^2 = - 7x - 8\\\\x^2 + 7x + 8 = 0 \\\\[/tex]

[tex]x = \frac{- b \pm \sqrt{b^2 - 4ac}}{2a}\\\\[/tex]               [tex][ \ a = 1 , \ b = 7 , \ c = 8 \ ][/tex]

[tex]x = \frac{-7 \pm \sqrt{49 - (4\times 8)}}{2} \\\\x = \frac{-7 \pm \sqrt{17}}{2} \\\\x = \frac{-7 + \sqrt{17}}{2} , \ , \frac{-7 - \sqrt{17}}{2}[/tex]

Lauren, Shannon, and Maddie all work at a restaurant. Lauren earned $11.00 less than 3 times the amount Maddie earned. Shannon earned $9.00 more than 2 times the amount Maddie earned. If Lauren and Shannon both earned the same amount of money, how much money, m, did Maddie earn?

Which equation below correctly represents the situation above?
A.
3m - 9 = 2m + 11
B.
3m - 11 = 2m + 9
C.
3m + 2m + 11 = 9
D.
4 × 11 + 2 × 9 = m

Answers

Answer:

B.

3m - 11 = 2m + 9

Amount Maddie earns = m = $20

Step-by-step explanation:

Let

Amount Maddie earns = m

Amount Lauren earns = 3m - 11

Amount Shannon earns = 2m + 9

If Lauren and Shannon both earned the same amount of money, how much money, m, did Maddie earn?

Amount Lauren earns = Amount Shannon earns

3m - 11 = 2m + 9

Collect like terms

3m - 2m = 9 + 11

m = 20

Amount Maddie earns = m = $20

B.

3m - 11 = 2m + 9

D R с C The diagram shows two squares ABCD and PQRS. Given that AB-12 cm, calculate (1) the perimeter of PORS. the area of AORS.

Answers

the diagram isn't available.Please fix that

4x³ - 4x + 3 is divided by (2x-1)

Answers

Complete question:

4x³ - 4x + 3 is divided by (2x - 1). Find the quotient and the remainder

Answer:

The quotient =  2x² +  x  - ³/₂  and the remainder = ³/₂

Step-by-step explanation:

Given function;

4x³ - 4x + 3 divided by (2x-1)

Use long division method to obtain the remainder and the quotient.

                               2x² +  x  - ³/₂

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

                 2x - 1 √4x³ - 4x + 3

                           - (4x³ - 2x²)

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

                                    2x²  - 4x + 3

                                 - ( 2x² - x)

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

                                        -3x + 3

                                      -(-3x + ³/₂)

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

                                            ³/₂

Therefore, the quotient =  2x² +  x  - ³/₂  and the remainder = ³/₂

                   

Which of the following graphs is described by the function given below?
y = 2x2 + 6x + 3

Answers

Answer: Graph A

Step-by-step explanation:

The city of Plainview is building a new sports complex. The complex includes eight baseball fields, four soccer fields, and three buildings that have concessions and restrooms. Arrange the structures in the sports complex using translations, reflections, and rotations so that the final arrangement satisfies each of these criteria:
All the fields and buildings fit on the provided lot.
Each field is adjacent to at least one building for ease of access.
Two or more fields can be adjacent, but no two fields should share the same boundary (e.g., a sideline or a fence.)
For safety reasons, no baseball field should have an outfield (the curved edge) pointed at the side (the straight edges) of another baseball field.

Answers

Answer:

See explanation

Step-by-step explanation:  

(Please Find Diagram in the attachment)⇒Answer Drawing is Given There

According to the question,

Given that, The city of Plainview is building a new sports complex. The complex includes eight baseball fields, four soccer fields, and three buildings that have concessions and restrooms. Now, Arrange the structures in the sports complex using translations, reflections, and rotations so that the final arrangement satisfies each of these criteria: All the fields and buildings fit on the provided lot.Each field is adjacent to at least one building for ease of access.Two or more fields can be adjacent, but no two fields should share the same boundary (e.g., a sideline or a fence.) For safety reasons, no baseball field should have an outfield (the curved edge) pointed at the side (the straight edges) of another baseball field

please help 20 pnts!!

Answers

Answer:

[tex]m^{\frac{1}{2} }[/tex] . [tex]n^{\frac{1}{2} }[/tex]

Step-by-step explanation:

Using the rules of exponents/ radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

[tex]\sqrt{a}[/tex] = [tex]a^{\frac{1}{2} }[/tex]

Given

[tex]\sqrt{mn}[/tex]

= [tex]\sqrt{m}[/tex] × [tex]\sqrt{n}[/tex]

= [tex]m^{\frac{1}{2} }[/tex] . [tex]n^{\frac{1}{2} }[/tex]

Answer:

[tex] {(mn)}^{ \frac{1}{2} } \\ {m}^{ \frac{1}{2} } {n}^{ \frac{1}{2} } [/tex]

Sara can weed a garden in 30 minutes. When her brother Hamdan helps her, they can weed the same garden in 20 minutes. How long would it take Hamdan to weed the garden if he

worked by himself?



a. Write an expression for Hamdan's rate, using n for the number of hours he would take to

weed the garden by himself.


b. Write an equation to show the amount of work completed when they work together.


c. How long would it take Hamdan to weed the garden by himself?

Answers

Answer:

Let's define:

S as the rate at which Sara can weed a garden.

We know that:

S*30min = 1 garden

And let's define H as the rate at which Hamdan can weed a garden, we know that when they work together, they can complete the job in 20 minutes, then

(S + H)*20min = 1 garden

a) Here we get:

H*n = 1 garden

where n is the number of hours that he would take (note that in two previous equations we have minutes, so we need to use a change of units)

b) The equation is

(S + H)*20min = 1 garden

c) ok, we know two things:

(S + H)*20min = 1 garden

S*30min = 1 garden

first, let's convert both times to hours:

60 min = 1 hour

then:

30 min = (30/60) hours = 0.5 hours

20 min = (20/60) hours = 0.33 hours

Then the equations become:

(S + H)*0.33 hours = 1 garden

S*0.5 hours = 1 garden

Le's solve the second equation for S:

S = (1 garden /0,5 hours) = 2 gardens/hour.

Now we can replace this in the other equation to get:

(2 garden/hour + H)*0.33 hours = 1 garden

2 garden/hour + H = (1 garden)/(0.33 hours) = 3 gardens/ hour

H = 3 gardens/hour - 2 gardens/hour = 1 gardens/hour

This means that the rate of Hamdan is 1 gardens/hour, so he can weed a garden in one hour.

Then:

(1 garden/hour)*n = 1 garden

n = ( 1 garden)/((1 garden/hour)) = 1 hour

You can identify sample spaces for compound events using organized lists, tables, and tree diagrams. Which of the three methods do you find easiest to use? Which method is the most helpful? Why? Use the Internet or another resource to find the definition of the Fundamental Counting Principle. What does this principle state? How can the principle be used to help you identify a sample space for a compound event? What are the limitations of using the Fundamental Counting Principle when determining the probability of an outcome? Support your answers with an example.

Answers

The fundamental counting principle is used to count the total number of possible outcomes that are in a situation.

What does the fundamental counting principle state?

The fundamental counting principle states that if there are n ways of doing something, as well as m ways of doing another thing, then there are n×m ways to perform both of these actions.

The Fundamental Counting Principle helps when determining the sample space of probability as it figures out the total number of ways the combination of events can occur. Therefore, it is used as a guide when determining the sample space of a probability.

Lastly, the limitation is that the Fundamental Counting Principle is that it assumes that each basic event is equally probable, which does not necessarily have to be true.

Learn more about counting principle on:

https://brainly.com/question/24358027

Answer:

The fundamental counting principle is used to count the total number of possible outcomes that are in a situation

Step-by-step explanation:

Solve for X
I’ll give BRAINLIEST to the correct answer

Answers

Answer:

[tex]x=9.91[/tex]

Step-by-step explanation:

[tex]11x-3=106[/tex]

      [tex]+3[/tex]       [tex]+3[/tex]

[tex]11x=109[/tex]

[tex]/11[/tex]       [tex]/11[/tex]

[tex]x=9.91[/tex]

Are holidays a proper subset of the calendar year?

Select the correct answer below:

No, holidays are only a subset of the calendar year.

Yes, holidays are a proper subset but not a subset of the calendar year.

Yes, holidays are a subset and proper subset of the calendar year.

No, holidays are not a subset or proper subset of the calendar year.

Answers

Answer: Choice C

Yes, holidays are a subset and proper subset of the calendar year.

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

Explanation:

The set of days in the calendar year spans from Jan 1st to Dec 31st.

The set of holidays is a small subset of the previous set mentioned. Any holiday is found on the calendar, but not every day on the calendar is a holiday.

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

Here's another example of a subset

A = set of all animals

B = set of dogs

Set B is a subset of set A because any dog is an animal. In other words, any individual in set B is also in set A, but not the other way around.

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

Going back to the calendar example, the set of holidays is a subset and it's also a proper subset of all the days in the year. We say that set B is a proper subset of set A if B has less items in it compared to A.

If we had these two sets

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

B = {1,2,3}

We can see that B is a proper subset of set A since everything in B is found in A, and B is smaller than A. The only time we have a subset and not a proper subset is when we talk about the set itself. Any set is a subset of itself (not a proper subset of itself).

The True statement is

Yes, holidays are a subset and proper subset of the calendar year.

What is Set?

Sets are represented as a collection of well-defined objects or elements that are consistent from one person to the next. A capital letter represents a set. The cardinal number of a set is the number of items in a finite set.

The order of a set determines the number of elements in the set. It refers to the size of a set. The order of the set is often referred to as the cardinality.

The set of days in the calendar year spans from Jan 1st to Dec 31st.

The set of holidays is a subset of the previously described set. Any holiday can be found on the calendar, however not every day is a holiday.

let Set B is a Proper subset of set A if it contains fewer elements than A.

So, A = {1,2,3,4,5,6}

B = {1,2,3}

We can see that B is a proper subset of set A since everything in B is found in A, and B is smaller than A.

So, holidays are a subset and proper subset of the calendar year.

Learn more about Set here:

https://brainly.com/question/8053622

#SPJ3

Find the distance between the points (1,5) and (3,0). Round your answer to the nearest tenth.

Answers

Answer:

5.4 units

Step-by-step explanation:

Hi there!

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex] where two given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug in the given points (1,5) and (3,0)

[tex]d=\sqrt{(3-1)^2+(0-5)^2}\\d=\sqrt{(2)^2+(-5)^2}\\d=\sqrt{4+25}\\d=\sqrt{29}\\d=5.4[/tex]

Therefore, the distance between the two points when rounded to the nearest tenth is 5.4 units.

I hope this helps!

Please help!! Thank you if you do!!

Answers

I think it is BD but I’m not 100% sure

Identify the rule that correctly describes each
sequence.
12, 8, 4, 0, -4, ...
Each term is 4 more than the previous term.
Each term is 4 less than the previous term.
Each term is 1/2 the previous term.
Each term is 2/3 the previous term.
6, 12, 24, 48, 96, ...
Each term is 6 more than the previous term.
Each term is 12 more than the previous term.
Each term is 1/2 the previous term.
Each term is 2 times the previous term.
COMPLETE
COMPLETE
here’s the answers

Answers

Answer:

Each term is 4 less than the previous term.

Step-by-step explanation:

If this helps you mark as brainlist!

Answer:

B and D are your answers for that whole page

Step-by-step explanation:

Identify the rule that correctly describes each sequence.

12, 8, 4, 0, –4, …

Each term is 4 more than the previous term.

This Is the right one: Each term is 4 less than the previous term.

Each term is 1/2 the previous term.

Each term is 2/3 the previous term.

6, 12, 24, 48, 96, …

Each term is 6 more than the previous term.

Each term is 12 more than the previous term.

Each term is 1/2 the previous term.

This is the right one: Each term is 2 times the previous term.

Please help me with this question. ​

Answers

Answer:

Step-by-step explanation:

736

i WILL mark brainliest !!!!

John had a total of $150. He purchased a DVD box set which costs $50 as well as a single DVD. He is left with $75. Which equation could be used to find the cost p of the DVD?

a. 150 + 50 + p = 75

b. 150 + 50 + 75 = p

c. 150 − 50 + 75 = p

d. 50 + p + 75 = 150

ps: absurd answers will be reported !!

Answers

Answer:

please mark as brilliant

The answer is D because it is

Can someone help me with this please!!! (Picture) I will mark brainliest no links!

Decide whether the statement below is true or false. Then fully explain why. The triangle below can be used to help with your explanation if needed.

“The sine of any acute angle is equal to the cosine of its complementary angle.”

Answers

Answer: True! Yes, sine and cosine are called co-functions, where the sign function of any acute angle equals it’s co-function of the angles complement.
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