Factorise 2xsquared X 7x +3

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]

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]

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

Step-by-step explanation:

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:

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

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]

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.

Answer:

147840 feet

Step-by-step explanation:

I looked it up XD

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.

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

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:

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.

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:

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.

Answer:

572

Step-by-step explanation:

10%=88

5%=44

30%=264

35%=308= favourite colour blue

880-308=572= favourite colour red

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;

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! :)

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].

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

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]

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

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.

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

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.

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

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

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

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

:)

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 :)