Factorise 2xsquared X 7x +3

Answers

Answer 1

Answer:

 (-2x - 1) • (x + 3)

Step-by-step explanation:

3.2     Factoring  2x2 + 7x + 3

The first term is,  2x2  its coefficient is  2 .

The middle term is,  +7x  its coefficient is  7 .

The last term, "the constant", is  +3

Step-1 : Multiply the coefficient of the first term by the constant   2 • 3 = 6

Step-2 : Find two factors of  6  whose sum equals the coefficient of the middle term, which is   7 .

     -6    +    -1    =    -7

     -3    +    -2    =    -5

     -2    +    -3    =    -5

     -1    +    -6    =    -7

     1    +    6    =    7    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  1  and  6

                    2x2 + 1x + 6x + 3

Step-4 : Add up the first 2 terms, pulling out like factors :

                   x • (2x+1)

             Add up the last 2 terms, pulling out common factors :

                   3 • (2x+1)

Step-5 : Add up the four terms of step 4 :

                   (x+3)  •  (2x+1)

            Which is the desired factorization


Related Questions

Write each expression in exponential form.

Answers

Any number times 10.

Evaluate the difference quotient for the given function. Simplify your answer. f(x) = 1 x , f(x) − f(a) x − a

Answers

Answer:

[tex]\frac{f(x) - f(a)}{x - a}=\frac{-1}{xa}[/tex]

Step-by-step explanation:

Given

[tex]f(x) = \frac{1}{x}[/tex]

Required

Evaluate [tex]\frac{f(x) - f(a)}{x - a}[/tex]

We have:

[tex]f(x) = \frac{1}{x}[/tex]

Next, we calculate f(a)

Substitute a for x in [tex]f(x) = \frac{1}{x}[/tex]

[tex]f(a) = \frac{1}{a}[/tex]

Substitute values for f(x) and f(a) in [tex]\frac{f(x) - f(a)}{x - a}[/tex]

[tex]\frac{\frac{1}{x} - \frac{1}{a}}{x - a}[/tex]

Take LCM of the numerator

[tex]\frac{\frac{a - x}{xa} }{x - a}[/tex]

Split:

[tex]\frac{a - x}{xa} /{x - a}[/tex]

Convert / to *

[tex]\frac{a - x}{xa} *\frac{1}{x - a}[/tex]

Express a - x as -(x-a)

[tex]\frac{-(x - a)}{xa} *\frac{1}{x - a}[/tex]

Divide numerator and denominator by x - a

[tex]\frac{-1}{xa} *\frac{1}{1}[/tex]

[tex]\frac{-1}{xa}[/tex]

Hence:

[tex]\frac{f(x) - f(a)}{x - a}=\frac{-1}{xa}[/tex]

Help solve for X

Please ignore the other scribbles in pencil.

Thanks

Answers

Answer:

x = 5

Step-by-step explanation:

[tex] \frac{14.8}{x} + 2.4 = 5.36 \\ \\ \frac{14.8}{x} = 5.36 - 2.4 \\ \\ \frac{14.8}{x} = 2.96 \\ \\ 14.8 = 2.96x \\ \\ x = \frac{14.8}{2.96} \\ \\ x = 5[/tex]

WILL GIVE BRAINIEST AND 100 POINTS TO CORRECT ANSWER
A parallelogram is shown below:

Part A: What is the area of the parallelogram? Show your work. (5 points)

Part B: How can you decompose this parallelogram into two triangles? If this parallelogram was decomposed into two triangles, what would be the area of each triangle? (5 points)

Answers

Answer: part a: area = bh part b: split it on its diagonals

Step-by-step explanation:

13
5
ө
12
What is the length of the side opposite to angle θ

Answers

Answer: Sin θ =

Step-by-step explanation:

In the figure attached, ABC is a right angle triangle.

Sides of this triangle are AB = 12 BC = 5 and CA = 13

Angle opposite to the side having length = 12 is θ.

Now we have to calculate sin θ.

Since Sinθ =

=

Therefore, ratio which represents sinθ will be

Step-by-step explanation:

Steps to answerjamie just bought a box

Answers

Answer:

Steps:

Step-by-step explanation:

1: Jamie had the money

2: Jamie went to the store

3: Jamie picked out the box

4: Jamie bought the box

Hope this helped uwu

Olivia is cutting a 1 1/2 m by 3/4 m piece of rectangular paper into two pieces along its diagonal.

Find the area of each of the pieces.

Answers

Answer:

[tex]area = length \: \times \: width \\ = \frac{11}{2} \times \frac{3}{4} \\ = \frac{(11 \times 3)}{(2 \times 4)} \\ = \frac{33}{8} \\ area = 4.125 \: {m}^{2} \\ or \\ area = 4 \frac{1}{8} \: {m}^{2} [/tex]

Graph a line that contains the point (-2,7) and has a slope of 4.
Plz help plzzz

Answers

Answer:

The line would be (-2,7) through (-1, 11 )

Step-by-step explanation:

You have to increase y by 4 and x by 1 to make the slope 4/1 or 4.

How many feet are in 28 miles

Answers

Answer:

147840 feet

Step-by-step explanation:

I looked it up XD

what is F?
H is 5m
I is 8m
G is 10m

Answers

Answer: F is 11m.

Step-by-step explanation: Because H,I,G are all increasing their numbers like plus 3, plus 2, and the last one has to be plus 1.

how to do 15 1/2 - 2 1/10 how to do it

Answers

First, you need to make the fractions have the same denominator:

15  1/2        --->       15 + (1/2 x 5)  =   15  5/10

2   1/10       --->       2  1/10

Then you need to subtract them from each other:

  15   5/10                                        

-    2   1/10                   (or)                  15  5/10 - 2 1/10 =   13  4/10

   13   4/10

This gets the answer:   13  4/10

A children’s pool contains 17,500 milliliters. How many liters are in the pool. Please help?!?!

Answers

Answer:

17.5 Liters

Step-by-step explanation:

I got it right on a test so I hope this helps you!

Answer:

17.5 l

Step-by-step explanation:

Quadrilateral A'B'C'D' is the image of quadrilateral ABCD under a dilation with a scale factor of 4. What is the length of segment CD'?​

Answers

Answer:

C'D' = 8

Step-by-step explanation:

A'B'C'D' is the figure gotten by multiplying each segment of Quadrilateral ABCD by the scale factor of 4.

To get the length segment of C'D', multiply the length of CD by 4.

CD = 2 units

Therefore, C'D' = 4*2

C'D' = 8

Answer: it was 12 :(

Step-by-step explanation:

I got it wrong on khan academy but then I checked the explanation and it wasn’t 8 but 12.

Lisa took out a loan for 5 months and was charged simple interest at an annual rate of 4.8%.
The total interest she paid on the loan was $170.
How much money did Lisa borrow?
Do not round any intermediate computations. If necessary, refer to the list of financial formulas.

Answers

Answer:

Lisa borrowed $8,500

Step-by-step explanation:

Simple Interest

Occurs when the interest is calculated on the original principal of a loan only.

Unlike compound interest where the interest earned in the compounding periods is added to the old principal, simple interest only considers the principal to calculate the interest.

The interest earned is calculated as follows:

I=Prt

Where:

I = Interest

P = initial principal balance

r = interest rate

t = time

Lisa took out a loan for t=5 months and was charged simple interest at an annual rate of r=4.8% = 0.048. She paid interest for I=$170.

We need to convert the time to years (there are 12 months per year):

t = 5 /12 years.

The formula must be solved for P:

[tex]\displaystyle P=\frac{I}{rt}[/tex]

Substituting:

[tex]\displaystyle P=\frac{170}{0.048*5/12}[/tex]

[tex]\displaystyle P=\frac{170}{0.02}=8,500[/tex]

Lisa borrowed $8,500

Answer:

Step-by-step explanation:

Photo attach please help

Answers

Answer:

Option D: 5√5 is the correct answer.

Step-by-step explanation:

Given that:

√20 + √45

These can also be written in simplified form;

√5*4 + √5*9

We will take square root of 4 and 9.

The square root of 4 and 9 is,

√4 = 2

√9 = 3

Thus,

2√5 + 3√5

Adding the roots,

5√5

Hence,

Option D: 5√5 is the correct answer.

Oliver surveyed 880 of the students in his school about their favorite color. Students
could choose between red and blue. 35% said their favorite color was blue. How many
students' favorite color was red?

Answers

Answer:

572

Step-by-step explanation:

10%=88

5%=44

30%=264

35%=308= favourite colour blue

880-308=572= favourite colour red

can you help me solve this question?​

Answers

Answer:

A. 9(x + 8) = 9(x + 12)

Step-by-step explanation:

Simplify the probelm;

9(x + 8) = 9(x + 12)

Distribute;

9x + 72 = 9x + 108

Inverse opreations;

9x + 72 = 9x + 108

-9x          -9x

72 = 108

This statement is not true, hence the equation has no solutions;

108 is the answer 100+8 = 108 it is easy

bob buys a computer during the sale. There was a discount of 25%. If the original price is $500. What is sale price?​

Answers

125 because 25 percent of 500 is 125

Answer:

$375

Step-by-step explanation:

If the discount was 25%, that means Bob bought the computer at 75% of original.

75% of 500 = 3/4 * 500 = $375

I hope this helps! :)

Assign a probability to the following event, and give the method used to assign it: What is the probability that a randomly selected day of the week will be a Friday

Answers

Answer:

[tex]\frac{1}{7}[/tex]

Step-by-step explanation:

We know, that probability of an event E, is [tex]\textrm{P}(\textrm{E})=\frac{\textrm{Number of favorable outcomes}}{\textrm{Total number of outcomes}}[/tex].

Here, there are [tex]7[/tex] days in a week.

So, total number of outcomes [tex]=7[/tex].

And only one day, that is, Friday is selected.

So, number of favorable outcomes [tex]=1[/tex].

Therefore, probability [tex]=\frac{1}{7}[/tex].

Hence, the probability that a randomly selected day of the week will be a Friday [tex]=\frac{1}{7}[/tex].

f(x) = 9 - X
g(x) = 5x + 2x + 1

Encontre (F+g)(X)

Answers

Answer:

5x^2 + x + 10

Step-by-step explanation:

you appear to have a typo. I'd say

(f+g)(x) = f(x) + g(x) = 9-x + 5x^2+2x+1 = 5x^2 + x + 10

Solve each equation. Check your solution.

–3b + 7 = –15 + 2b

Answers

Exact form: b= 22/5

Decimal form: b= 4.4

Mixed number form: b= 4 2/5

Answer:

Solution:

[tex]b = \frac{22}{5?} [/tex]

Step-by-step explanation:

Rearrange terms:

[tex] - 3b + 7 = - 15 + 2b [/tex]

[tex] - 3b + 7 = 2b - 15[/tex]

subtract 7 from both sides of the equation:

[tex] - 3b + 7 = 2b - 15[/tex]

simplify:

subtract the numbers

⬇️

⬇️

[tex] - 3b = 2b - 22[/tex]

subtract ⬇️ from both sides of the equation

[tex]2b[/tex]

[tex] - 3b = 2b - 22[/tex]

[tex] - 3b - 2b = 2b - 22 - 2b[/tex]

simplify:

⬇️combine like terms

⬇️combine like terms

[tex] - 5b = - 22[/tex]

divide both sides of the equation by the same term:

[tex] - 5b = - 22[/tex]

[tex] \frac{ - 5b}{ - 5?} = \frac{ - 22}{ - 5?} [/tex]

simplify:

⬇️cancel terms that are in both the numerator and the denominator

⬇️divide the numbers

[tex]b = \frac{22}{?5} [/tex]

A women is twice as old as her daughter . twenty one years ago she was three times her daughter . What is the women's present age?​

Answers

Answer:

84

Step-by-step explanation:

women=x

daughter=y.

x=2y.

x-21=3(y-21).

2y-21=3y-63.

42=y.

x=84.

Hope this helps plz hit the crown :D

Answer:

Daughter's present age = 42 years

Women's present age =  84 years

Step-by-step explanation:

Daughter's present age = x years

Women's present age = 2*x = 2x

21 years ago:

Daughter's age = x - 21

Women's age = 2x - 21

Women's age = 3*daughter'sage

2x - 21 = 3*(x - 21)

2x - 21 = 3x - 63        {Subtract '2x' from both sides}

   - 21   = 3x - 2x - 63

   -21    = x - 63             {Add 63 to both sides}

-21 +63 =  x

42  = x

Daughter's present age = 42 years

Women's present age = 2*42 = 84 years

PLS HURRY NOWWWW. Peanuts are priced at $3.38 per pound. Derek buys a sack
of peanuts for $15.82. Which measurement is a reasonable
estimate of the weight of the peanuts that are in the sack?
A А
70 lb
B
5 lb
C
50 lb
D 7 lb

Answers

Answer:

a 70

Step-by-step explanation:

eanuts have a high oil content (45 percent to 52 percent) compared to several other oilseed crops. With a yield of 3,000 pounds per acre, a 70 grade (70 percent of the weight of the peanut in shell) and 50 percent oil content, peanuts could potentially produce 120 to 150 gallons of biodiesel per acre.

Need help with a few geometry questions !?!?

Answers

Answer:

1. ACB, CDB and ADC are all similar to eachother.

2. 10

3. CD=8, AD=10.666667, AC=13.33333

4. X=2.4

5. X=√10

6. X=√15

Step-by-step explanation:

1. To prove triangles are similar, prove they share at least two angles.

Triangle ACB is similar to triangle CDB because they both share a 90° angle and ∠B.

Triangle ACB is similar to triangle ADC because they both share a 90° angle and ∠A.

Since ACB is similar to both CDB and ADC respectively, CDB is similar to ADC.

2. Use similar triangles to find AB

ACB is similar to CDB

AB/CB=CB/DB

AB/10=10/6

AB=100/6=16.666667

Geometric mean: √(16.66667*6)=10

3.

Find CD using Pythagorus:

10²=6²+CD²

CD²=100-36

CD=√64=8

Use similar triangle ratios to find AD:

CDB is similar to ADC.

CD/DB=AD/DC

8/6=AD/8

AD=8(8/6)=10.6666666667

Find AC using Pythagorus:

AC²=10.66666666667²+8²

AC=√177.7777777778

AC=13.333333333

4. √(40²+30²)=50

30/50=X/40

X=2.4

5. (√35)²=X²+5²

35=X²+25

X=√10

6. √((√10)²-(√6)²=√(10-6)=2

√6/2=X/√10

6/4=X²/10

X²=10(1.5)

X=√15

A line is shown on the coordinate plane.
y=___ x+ ___

Answers

y=-4x+9


using y=mx+b, the b is the dot/point on the y-plane, the m is counting until you get to the next point.

What is the value of x in the figure shown below?
С
4.7
D
42°
3.5
3.5
30
B
А A
4.7
=

Answers

Answer:

30 degrees

Step-by-step explanation:

It's a pateelogram so oppate angles are equal so

x = 30 degrees

Hope this helps :)

The measure of x is 30 degree.

What are parallel line?

The fundamental characteristics listed below make it simple to recognise parallel lines.

Straight lines that are always the same distance apart from one another are called parallel lines.No matter how far apart they are from one another, parallel lines can never intersect.

As, we know that the Property of Parallel line are:

Corresponding angle are Equal.

Alternate interior Angles are Congruent.

Vertical angles are Congruent.

As, per the figure we can see that

AB || CD

So, by Alternate Interior Angle

<DCB = <CBA

x = 30

Thus, the measure of x is 30 degree.

Learn more about Parallel line here:

https://brainly.com/question/16701300

#SPJ7

Which of these are mathematical sentences? Check all that apply.

A. 12n = 24
B. X+ 2 = 6
C. 24
D. 2x

Answers

9514 1404 393

Answer:

  A, B

Step-by-step explanation:

A mathematical sentence expresses a complete thought using mathematical symbols and numbers. In these sentences, the "=" corresponds to the "verb" in the sentence.

The terms 24 and 2x correspond to "nouns". They describe a mathematical object, but say nothing about it.

The sentences:

  A. 12n = 24

  B. x + 2 = 6

PLEASE ANSWER THIS QUESTION! BRAINLIEST!BRAINLIEST!BRAINLIEST!BRAINLIEST!BRAINLIEST!BRAINLIEST!BRAINLIEST!BRAINLIEST!BRAINLIEST!BRAINLIEST!BRAINLIEST!BRAINLIEST!BRAINLIEST!BRAINLIEST!BRAINLIEST!BRAINLIEST!BRAINLIEST!BRAINLIEST!BRAINLIEST!BRAINLIEST!BRAINLIEST!BRAINLIEST!BRAINLIEST!BRAINLIEST!BRAINLIEST!BRAINLIEST!BRAINLIEST!BRAINLIEST!BRAINLIEST!BRAINLIEST!BRAINLIEST!BRAINLIEST!BRAINLIEST!BRAINLIEST!BRAINLIEST!BRAINLIEST!

Answers

Answer:

1. 62.5

2. 66.25

Step-by-step explanation:

25% of 50 is 12.5 add that to 50 is 62.5

6% of 62.5 is 3.75 so 3.75+62.5 is 66.25

Answer:

A. The selling price is [$62.5]

B. The total cost is [$66.25]

Step-by-step explanation:

25% of 50 is 12.5, and if you add that to 50 is 62.5

6% of 62.5 is 3.75 so 3.75+62.5 is 66.25

:)

If a triangle has side lengths a, b, and c and a² + b2 = c?, then the triable is a........ triangle

Answers

Right angles triangle

Please help me put these in the correct order. *No wrong answers* List the following in order Can you list the answers in order What is a list of number in a specific order called List the following evens in order

Answers

Answer:

Add or subtract. Show all work.

1) 9.069

2) 43.95

3) 20.64

4) 32.145

5) 7.16

6) 12.2

7) 25.95

8) 15.815

Increasing order (smallest to largest): 5, 1, 6, 8, 3, 7, 4, 2

Decreasing order (largest to smallest): 2, 4, 7, 3, 8, 6, 1, 5

Multiply or divide. Show all work.

1) 44.95

2) 225.9

3) 20.271

4) 11.557

5) 6.78

6) 41.3

7) 120

8) 515

Increasing order (smallest to largest): 5, 4, 3, 6, 1, 7, 2, 8

Decreasing order (largest to smallest): 8, 2, 7, 1, 6, 3, 4, 5

Please mark me Brainliest :)

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