Factor (5x − 6)2 − (4x − 3)2.

Answers

Answer 1

Answer:

9( x-3) (x-1)

Step-by-step explanation:

(5x − 6)^2 − (4x − 3)^2

This is the difference of squares   a^2 - b^2 = ( a-b) (a+b)

(5x − 6)^2 − (4x − 3)^2   where a = 5x-6  and b = 4x-3

( 5x-6 - (4x-3))  ( 5x-6 +(4x-3)

Distribute

( 5x-6 -4x+3)  ( 5x-6 +4x-3)

Combine like terms

(x-3) ( 9x-9)

Factor out the 9

9( x-3) (x-1)


Related Questions

Which values will complete the table.
A
B
C

Answers

Answer:

A=8

b=15

c=40

Step-by-step explanation:

5/8 as well as 10/16 = .625

a=8 blocks for 5 min given in question

b:24*0.625=15

c:25*40=.625 or 8 * 5=40 , since 5×5=25 taking 1st column times 5

Which mapping best represents the function f(x) = 2x2 + 5x + 3 when the domain is {–1, 0, 3}?

Answers

Answer:

Step-by-step explanation:

Given the function  f(x) = 2x^2 + 5x + 3 with the domain {-1, 0, 3}, to get the mapping that best represents the function, we will have to find the codomain of the function given by substituting the domain values into the function;

when x = -1

f(-1) = 2(-1)^2 + 5(-1)+ 3

f(-1) = 2 - 5+ 3

f(-1) = 0

when x = 0

f(0) = 2(0)^2 + 5(0)+ 3

f(0) = 0+0+ 3

f(0) = 3

when x = 3

f(3) = 2(3)^2 + 5(3)+ 3

f(3) = 18+15+ 3

f(3) = 36

Hence the mapping is {0,3,16}

Ninety children signed up
for a field trip to a museum
On the field trip, the ratio of
adults to children must be 1:6.
So far, 11 adults are going on
the field trip. How many
More adults are needed?

Answers

4 more adults are needed

90 ÷ 6 = 15

15 - 11 = 4

Mr ,Smith buying pens and pencils for his classroom.Pens (x) cost $5 per pack and pencils (y) cost $4 per pack-he needs to spend $40 or more to get free shipping

Answers

Answer:

breathe in

Step-by-step explanation:

HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Hello, I think you forgot to attach a picture

Step-by-step explanation:

When you're about ask a question there's a little thing that looks like a paper clip then you press that and attach your picture :)

0.00000512 in scientific notation

Answers

Answer:

5.12 x 10 -6

Step-by-step explanation: I’m pretty sure

Please help ASAP HELP!

Answers

Answer:

Step-by-step explanation:

You equal both angles to each other and solve. You should get x=5, the you plug in x giving you 44 for both angles and 88 for ABC

Enter the sum of numbers as a product of their GCF.
30 + 36
The sum of the numbers as a product of their GCF is

Answers

Their GCF is 6 and the sum is 66

Step-by-step explanation:

HELP QUICK WILL GIVE BRAINLIEST

Answers

Can’t see what’s that

Answer:

I gave the answers to the first four problems.

Step-by-step explanation:

1) LAB=40°

2) angle 3= 57°

3) x=25°

4) y= 29°

5 yüz binlik 2 binlik 4 yüzlükten oluşan
altı basamaklı doğal sayı kaçtır?

Answers

Answer:

wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww

60 5/6 + 54 1/3 + 56 1/6 + 59 1/3 pls help

Answers

Answer: Is 174.333333333 Hope this helps! and pls give me brainliest i need it

Step-by-step explanation:

Point G(-3,2) is translated using the rule (x+10, y-6). What is the x-coordinate of G'? Enter your answer in the box.

Answers

Answer:

7 is the Anwser

Step-by-step explanation:

HELPPP!!!! It’s due tmmr

Answers

Answer:

total of 482

Step-by-step explanation:

He sold 1940

20% on first 500  

500 *.20 = 100 commission

Then 25% on the next 1000

1940 -500 = 1440 left

He has 1000

1000 * 25%

1000*.25 = 250 commission

1440-1000 = 440 left

440 at 30%

440*.30 =132 commission

Add together

100+250+132 = 482

line A and B are parallel. line C and D are parallel. Line D is perpendicular to line B . therefore line C is ? to line A

Answers

Answer:

C is Perpendicular to A

Step-by-step explanation:

anyone mind helping? i want to sleep Given: BA is congruent to BC prove angle 1 is congruent to angle 3.

Answers

Answer:

Given that BA = BC which shows that ΔABC is isosceles

And, ∠1 Represents BC

and, ∠2 Represents BA

And as BC and BA are equal, we come to know that ∠1 and ∠2 are equal

∠2 = ∠3 because they are opposite angles.

Therefore we can conclude that ∠1 and ∠3 are congruent because ∠1 =∠2 which ∠2 = ∠3 So, ∠1 = ∠3

If my answer helped, please mark me as the brainliest!!

Thank You!

Answer:

see below

Step-by-step explanation:

since ∠1 ≅ ∠2

opposite angles are equal

therefore, ∠2 ≅ ∠3

The value of y is directly PROPORTIONAL to the value of x. If y=44 when x= 240, what is the value of y when x=84?

Answers

Answer:    y = 15.4

If you need the answer in fraction form, then it would be 77/5

This is equivalent to the mixed number 15 & 2/5

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

Work Shown:

y = k*x ..... general direct proportion equation

44 = k*240 .... plug in x = 240 and y = 44

240k = 44

k = 44/240

k = 11/60 .... divide both parts by 4

y = k*x   .... go back to the general form

y = (11/60)x .... plug in the k value we found earlier

y = (11/60)*84 .... plug in x = 84

y = 15.4

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

Extra info:

15.4 = 15 + 0.4

15.4 = 15 + 4/10

15.4 = 15 + 2/5

15.4 = 15 & 2/5 .... mixed number form

and

15.4 = 15 + 2/5

15.4 = 75/5 + 2/5

15.4 = (75+2)/5

15.4 = 77/5 ... improper fraction

Find the value of x. Then find the measure of each labeled angle.

Answers

Step-by-step explanation:

Question?

Find the distance between the two numbers on a number line. Write your answer as a decimal.
-1.85 , 7.36

Answers

Answer:

9.21

Step-by-step explanation:

I'm pretty sure you just add the two numbers as positive numbers :/

The required distance on the number line between the points -1.85 and 7.36 is 9.21.

Given that,
To determine the distance between the two numbers on a number line points are -1.85 and 7.36.

What is a number line?

A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.

Here,
On the number line, -1.85 lies on the left of the zero, and 7.36 lies on the right so the required distance would be the addition of the two points. So,
Distance = 7.36 - (-1.85)
Distance = 7.36 + 1.86
Distance = 9.21

Thus, the required distance on the number line between the points -1.85 and 7.36 is 9.21.

Learn more about number line here:

brainly.com/question/17683084

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Gabrielle’s age is two times Mikhail’s age. The sum of their ages is 36. What is Mikhail’s age?

Answers

Mikhail’s age is 18.

2x=36
divide both sides by two and the answer you get is 18.

To check your answer you can just do 18+18 and that equals 36, which is the sum of their ages, as stated in the question.

Four different paints are advertised as having the same drying time. To check the manufacturer's claims, five samples were tested for each of the paints. The time in minutes until the paint was dry enough for a second coat to be applied was recorded. The following data were obtained.
Excel or Minitab users: The data set is available in file namedPaint.
Paint 1 Paint 2 Paint 3 Paint 4
128 144 133 150
137 133 143 142
135 142 137 135
124 146 136 140
141 130 132 153
At the = .05 level of significance, test to see whether the mean drying time is the same for each type of paint. Compute the values identified below:
1. Sum of Squares,Treatment
2. Sum of Squares,Error
3. Mean Squares,Treatment
4. Mean Squares,Error

Answers

Answer:

(1) 330

(2) 692

(3) 110

(4) 43.25

Step-by-step explanation:

The data provided is for the dying time of four different types of paint.

One-way ANOVA can be used to determine whether all the four paints have the same drying time.

Use Excel to perform the one-way ANOVA.

Go to Data → Data Analysis → Anova: Single Factor

A dialog box will open.

Select the data.

Select "Grouping" as Columns.

Press OK.

The output is attached below.

The required values are as follows:

(1)

Sum of Squares of Treatment (Between Subjects):

SST = 330

(2)

Sum of Squares of Error (Within Subjects):

SSE = 692

(3)

Mean Squares Treatment (Between Subjects):

MST = 110

(4)

Mean Squares Error (Within Subjects):

MSE = 43.25

Hey, did you hear what Joe did?

Answers

Answer:

joe?

Step-by-step explanation:

Is 7 8/11 a terminate or a repeat

Answers

8/11 is non-terminating decimal
it is non-terminating

A teacher asks her students to fill out a survey about themselves. Which
piece of data would be considered categorical data?
A. Number of siblings
B. Age
C. Hair color
D. Height

Answers

The categorical data, in this case, refers to information that can be sorted into specific categories or groups. Among the options provided, hair color would be considered categorical data.Option c is correct

Hair color falls into distinct categories such as blonde, brown, black, red, or other variations. It is a qualitative characteristic that cannot be measured on a numerical scale.On the other hand, the other options can be classified as numerical data.

The number of siblings (option A) and age (option B) are both quantitative variables that can be represented numerically. They can be counted or measured using specific numerical values. Similarly, height (option D) is a quantitative measurement that can be expressed using numbers or units of length.

In summary, while number of siblings, age, and height are numerical data, hair color is an example of categorical data as it falls into distinct categories or groups.Option c is correct.

For more such questions on data

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A rectangular garden is fenced on all sides with 278 feet of fencing. The garden is 9 feet longer than it is
wide. Find the length and width of the garden.

Answers

Answer:

Length = 74 feet,

Width = 65 feet

Step-by-step explanation:

If length = l, width = w;

l = 9 + w (Given)

2l + 2w = 278 (Definition of perimeter)

Substitute "9 + w" for l in the second equation;

2(9 + w) + 2w = 278 -> Distribute the "2"

18 + 2w + 2w = 278 -> Combine like terms

18 + 4w = 278 -> Subtract 18 on either side

4w = 260 -> Divide either side by 4

w = 260/4 = 65 feet

l = 9 + 64 = 74 feet

A line has slope 3 and y-intercept 4.
Which answer is the equation of the line?
O y = 3x + 4
Oy= 3x -4.
O y= 3/4x-4
O y = 4x + 3

Answers

Answer:

  y = 3x +4

Step-by-step explanation:

In slope-intercept form, the equation of a line is ...

  y = mx + b

Where m is the slope (3) and b is the y-intercept (4).

Putting the given numbers in the equation, it becomes ...

  y = 3x +4

I need help, how do I do this?

Answers

The answer is 128 because 4·4·4+8·8=128

Shawna wants to purchase some shorts and a few pairs of socks. The shorts cost $10 and a pair of socks cost three dollars. Shawna can spend them no more than $45.

Let’s see represent the number of shorts purchased and Kay represent the number of pairs of socks purchased.

Which in quality represents the situation?

Answers

Answer:

The answer - C

Step-by-step explanation:

c- number of shorts

k - number of socks

10 shorts and 3 socks

10c+3k

no more than $45

no more than is a characteristic of less than or equal to.

10c+3k ≤  45

And obviously, that isn't an answer choice so you have to switch the sign so it looks like this:

45≥10c+3k

A job posting is searching for runway models to walk in a designer fashion show. The posting states that the preferred model should be no more than 2 inches away from being 5 feet 11 inches. Write and solve an absolute value inequality that can be used to determine the height range, in inches, of a preferred model. Graph the solution set on a number line.

Answers

Answer:

70 ≤ x ≤ 74

Step-by-step explanation:

5 feet 11 inches = (5 x 12 inches) + 11 inches

                         = 72 inches

Since the preferred model should not be no more than 2 inches away from 72 inches, then;

72 inches ± 2 inches

Let the required height be represented by x, the absolute value inequality is;

lx ± 2l ≤ 72

x + 2 ≤ 72

x ≤ 72 - 2

x ≤ 70

Also,

x - 2 ≤ 72

x ≤ 72 + 2

x ≤ 74

Therefore, the preferred height range in inches is;

70 ≤ x ≤ 74

The graph is herewith attached to this answer.

Bill hikes 8 miles in 3 hours. At this rate. how many miles will he hike after 2 hours?

Answers

Answer:

5 1/3 miles

Step-by-step explanation:

We can use a ratio to solve

8 miles      x miles

------------ = --------

3 hours         2 hours

Using cross products

8*2 = 3x

16 = 3x

Divide by 3

16/3 = 3x/3

5 1/3 miles =x

Answer: [tex]5 \frac{1}{3}[/tex] miles

For the rate of 8 miles in 3 hours, you divide.

For the rate of - miles in 2 hours, multiply.

8 x 2 = 3x

16 = 3x

Now, we have to divide by 3x by 3.

3x divided by 3 = 5 1/3

Answer = 5 1/3

The opposite of an integer is always negative.

Answers

Answer:

False

Step-by-step explanation:

To find the opposite of an integer, we just change its sign. If it is negative, change to positive. If it is positive change to negative. Opposite integers are the pairs of integers that have the same absolute value, or the same distance from zero. The sum of two opposites is always zero.

Hope this helps :)

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