1) Factorise 3x^2 + 5x + 2
2) Hence, solve x^2 + 5x + 2

Answers

Answer 1

Answer: (x+1)(3x+2) , i only got the answer for the first question, sorry!

Step-by-step explanation:

- factorise using AC method

AC= 3 x 2 = 6

find 2 numbers that add to give 5 and multiply to give 6 (3 and 2)

- put them as x in the equation to replace 5x

3x^2 + 2x + 3x + 2

- split the equation in half and expand each side

3x^2+2x | 3x+2

x(3x+2)+1(3x+2)

- put the numbers outside the brackets into a separate bracket

= (x+1)(3x+2)


Related Questions

Maria wants to buy a pair of shoes for $22.50 and a shirt for $13.50. If the sales tax rate is 8.25%, what will be the amount of sales tax on Maria’s purchase?

Answers

Answer:

$2.97

Step-by-step explanation:

- add together the prices of the items; 22.50 + 13.50 = 36

- multiply the total by the tax; 36 x 8.25% or 36 x 0.0825 = 2.97

- The total sales tax is $2.97

2x+7y=3 and x=-4y with substitution ?

Answers

Answer:

x=12

y=-3

Step-by-step explanation:

Because we already know what the value of x, we can use that value, -4y, to substitute it into the equation 2x+7y=3.

2(-4y)+7y=3   Simplify.

-8y+7y=3

-y=3                Divide both sides by -1 (to make y positive).

y=-3

Now, we can substitute y into the other equation, x=-4y.

x=-4(-3)   Simplify.

x=12

I really hope this helps!! Have a great day ❤

13. Is the sum of the areas of two
squares equal to the area of a large square
if the side lengths of the squares are 8 feet,
5 feet, and 3 feet? Note that the area of
a square is s2 where s is the side length explain

Answers

Answer:

multiply ata gagawin dyan Ewan

what is the purpose of a statistical control chart?

Answers

A statistical control chart compares process performance data to computed "statistical control limits," which are represented on the chart as limit lines. Process performance data are typically composed of groups of measurements (rational subgroups) from the regular sequence of production while maintaining the data's order.

The statistical control chart is discussed below.

What is statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data. In applying statistics to a scientific, industrial, or social problem, it is conventional to begin with a statistical population or a statistical model to be studied.

Given is the statistical control chart.

The control chart is a graph used to study how a process changes over time. Data are plotted in time order. A control chart always has a central line for the average, an upper line for the upper control limit, and a lower line for the lower control limit. These lines are determined from historical data.

Parts of a control chart -Points representing a statistic (e.g., a mean, range, proportion) of measurements of a quality characteristic in samples taken from the process at different times (i.e., the data)The mean of this statistic using all the samples is calculated (e.g., the mean of the means, mean of the ranges, mean of the proportions) - or for a reference period against which change can be assessed. Similarly a median can be used instead.A centre line is drawn at the value of the mean or median of the statisticUpper control and lower control limits (sometimes called "natural process limits") that indicate the threshold at which the process output is considered statistically 'unlikely' and are drawn typically at 3 standard deviations from the center line.

Therefore, the statistical control chart is discussed above.

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plz help me with 1-6
identify each pair of angles

Answers

Answer:

1) co-interior

2) alternate exterior

3) alternate interior

4) corresponding

5) vertical

6) supplementary

PLS HELP I'LL DIRECTLY MARK YOU BRAINLIST!!!

Answers

Answer:

x=3

Step-by-step explanation:

Answer:

Perimeter of the first triangle :

[tex] \longmapsto(x - 4) + (x - 5) + 5 \\ = x - 4 + x - 5 + 5 \\ = \boxed{2x - 4}[/tex]

Perimeter of the second triangle :

[tex] \longmapsto(x - 10) + 10 + 16 \\ = x - 10 + 10 + 16 \\ = \boxed{x + 16}[/tex]

Now, it is given that the two triangles have same perimeter

So equating the value of the perimeter of the two triangles, we get

[tex] 2x - 4 = x + 16 \\2x - x = 16 + 4 \\ \boxed{ x = 20}[/tex]

Therefore, the value of x is 20

x = 20 is the right answer.

Which phone service offers the better deal option 1: 450 minutes for 49.99 option 2 : for 800 minutes for 62.99

Answers

Answer:

Option 1 : 450 minutes for $49.99

Step-by-step explanation:

Option 1 = 450 for $49.99

1 minute = 450 ÷ 49.99

= $9.00

Option 2= 800 minutes for 62.99

1 minute = 800 ÷ 62.99

= $12.70

What is 3a + 6 + 5a?

Answers

Answer:

8a+6

Step-by-step explanation:

3a+6+5a=(3a+5a)+6

             =8a+6

PLS MARK AS BRAINLIEST

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textsf{3a + 6 + 5a}[/tex]

[tex]\huge\text{COMBINE the LIKE TERMS}[/tex]

[tex]\huge\textsf{= (3a + 5a) + 6 }[/tex]

[tex]\huge\textsf{= 8a + 6}[/tex]

[tex]\huge\boxed{\text{Therefore, your answer is: \textsf{{8a + 6}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Find the slope-intercept form of the line passing
through the point (8,7) and parallel to the line
y = - 2x - 5.

Answers

Answer:

y = -2x + 23.

Step-by-step explanation:

If the line is parallel to

y = -2x - 5,

that means it has the SAME SLOPE. Parallel lines have the same slope, but they could have different y-intercepts.

The slope intercept form is:

y = mx + b.

m = slope.

b = y intercept.

In this case, the slope is -2.

So we know the answer will have a slope of -2.

So we can write:

y = -2x + b.

We just have to finish the answer by replacing "b" with a number.

To find out what "b" is, we plug in the point (8,7).

To plug this point in, we replace "x" with 8 and "y" with 7.

7 = -2(8) + b.

7 = -16 + b.

Now to get b by itself to solve for b, we have to add 16 to both sides.

7 + 16 = b.

b = 23.

So our final answer is: y = -2x + 23.

work out: 2+3+4+5 (2+3+4+5)​

Answers

Answer:

2+3+4+5(2+3+4+5)=79

Step-by-step explanation

2+3+4+5×2+3+4+5=79

Therefore the answer is 79

How many zeros will be in the product of 5 x 105 = ________? Explain how you know.

Answers

Answer:

The is zero 0's in the answer. The way I know is that I put it into an equation, and started solving. I started off by multiplying 5x5=25. Next I noticed the next number I multiply 5 by is 0, so the next value will be 2 because the 2 from 25 was carried over. Finally I multiplied 100x5=500. And 500+25=520.

Step-by-step explanation:

   2

  105

x     5

  525

please help me?

please and thank you!

Answers

Answer:

-1/12

Step-by-step explanation:

change divide sign to multiply by reciprocating

one to one functions

Answers

Answer:

f(x) = x + 1 is an example

Step-by-step explanation:

This is a one to one function because when you put in an input there would be a different answer for each number put in.

A way to find out if something is a one to one function is by using the horizontal line test.

Hope this helps

Photo above really need help

Answers

Answer:

I think it is 1/2

Step-by-step explanation:

rise/run

you go up 1 unit and you move 2 units to the side.

Find the line's slope and a point on the line.​

Answers

Answer:

done.

Step-by-step explanation:

yeah+ya .... right?

Drag the tiles to the correct boxes. Not all tiles will be used.
Determine which steps are used to find the product shown. Put the steps in the order in which they would be performed.

Answers

Factorization of the given polynomial to find the product is as follows;

Factorizing;

[tex]\dfrac{x^2 + 3*x +2}{x^2+ 6*x + 5} = \dfrac{(x + 1) * (x + 2)}{(x + 1)*(x + 5)}[/tex]

[tex]\dfrac{x^2 + 7*x +10}{x^2+ 4*x + 4} = \dfrac{(x + 2) * (x + 5)}{(x + 2)*(x + 2)}[/tex]

Expressing the product in terms of the factors

[tex]\dfrac{x^2 + 3*x +2}{x^2+ 6*x + 5} \times \dfrac{x^2 + 7*x +10}{x^2+ 4*x + 4} = \dfrac{(x + 2) * (x + 5)}{(x + 2)*(x + 2)} \times \dfrac{(x + 1) * (x + 2)}{(x + 1)*(x + 5)}[/tex]

The steps arranged in the order in which they would be performed are;

First step;

[tex]\dfrac{x^2 + 3*x +2}{x^2+ 6*x + 5} \times \dfrac{x^2 + 7*x +10}{x^2+ 4*x + 4}[/tex]

Second step (factorizing)

[tex]\dfrac{(x + 2) * (x + 5)}{(x + 2)*(x + 2)} \times \dfrac{(x + 1) * (x + 2)}{(x + 1)*(x + 5)}[/tex]

Third step (dividing out common terms)

[tex]\dfrac{(x + 5)}{(x + 2)} \times \dfrac{(x + 2)}{(x + 5)}[/tex]

Fourth step (rearranging and removing terms that cancel each other)

1

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tom works for a company his normal rate of pay 15 per hour

Answers

The amount earned by Tom is the product of the rate per hour and the number of hours worked which is $90.

The amount earned per hour = $15

The number of hours worked = 6 hours

The amount earned at the normal earning rate can be calculated thus :

Normal rate per hour × number of hours

Amount earned = $15 × 6 = $90

Therefore, the amount earned by Tom after working for 6 hours at the normal rate is $90.

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The total pay Tom earn for working 11 hours is £185

Given that Tom is paid £15 if he works for less than 7 hours and then paid 1 1/3 times his normal salary if he works more than 7 hours.

Given that he works for 11 hours, hence:

Pay for the first 7 hours = £15 × 7 hours = £105

Pay for the overtime = 1 1/3 × £15 × (11 - 7) = 4/3 × £15 × 4 = £80

Total pay = £80 + £105 = £185

Hence the total pay Tom earn for working 11 hours is £185

Find out more at: https://brainly.com/question/21938284

What are terminating decimals?

Answers

They are decimals that end.

Answer:

A decimal that has an end

Step-by-step explanation:

for example .59 ends at .59 but if you see one that is like .333333333333333333333333333333333333333333333 and is going non stop then, that's a recurring decimal because it goes forever

From the fig. find the angle which is equal to 110˚.

Answers

Answer:x° ^56

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

They are congruent angles

Isolating for a variable
A = 2πrh solve for r

Answers

Answer:  r = A ÷ 2πh

Step-by-step explanation:

Since           A = 2πrh       [divide both sides by 2πh]

⇒   (A ÷ 2πh)  = r

5.9 = x/9 round to nearest 100th

Answers

[tex]\\ \sf\longmapsto 5.9=\dfrac{x}{9}[/tex]

[tex]\\ \sf\longmapsto x=9(5.9)[/tex]

[tex]\\ \sf\longmapsto x=9(\dfrac{59}{100})[/tex]

[tex]\\ \sf\longmapsto x=53.1[/tex]

[tex]\sf \displaystyle \frac{x}{9} =5,9 \\\\x=9\cdot 5,9 =45+8,1=53,1 \\\\ \boxed{\sf x=53,1}[/tex]

An ice cream factory makes 375 quarts of ice cream in five hours.
How many quarts could be made in 15 hours

Answers

Answer:

1125 quarts

Step-by-step explanation:

5 hrs = 375 quarts

15 hrs = x quarts

5*3 = 15

375*3 = x

375*3 = 1125

1125 quarts

The sum of three numbers is 28,542.Two of the numbers are 10,250 and 19,750.find the third number

Answers

Answer:

-1,458

Step-by-step explanation:

guys pls help me!!!!!!

Answers

Answer:

144

Step-by-step explanation:

Because 180-36=144 btw you just need to do 180-the number than you will get the answer

Solve for x in terms of h and k:
2(2x - h) - k = 6
Brainliest if correct

Answers

answer

x=3/2+1/2h+1/4k

what is the answer to 8s-11s+6

Answers

Answer:

-3s + 6

Step-by-step explanation:

Combine like terms. Like terms are terms with the same amount of the same variables. In this case:

8s - 11s + 6

(8s - 11s) + 6

-3s + 6

-3s + 6 is your answer.

~

Answer:

-3s + 6

Step-by-step explanation:

In order to find the answer you need to combine like terms. When you combine like terms you need to combine integers that have the same variable in this case 8 and 11 need to be combined due to the fact they both have the variable s.

8s - 11s + 6

(8s - 11s)

(8s - 11s) + 6

8s + -11s = -3s

= -3s + 6

Hope this helps

Write the equation of the specified graphs below. ​

Answers

Answer:

Given are the transformations of the square root function:

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

Line a, translation to the left:

f(x) = [tex]\sqrt{x+3}[/tex]

Line b, reflection over x-axis, translation to the right and up:

f(x) = [tex]-\sqrt{x-2}+1[/tex]

Line c, translation to the left and down:

f(x) = [tex]\sqrt{x+3}-2[/tex]

Line d, reflection over x-axis, translation down:

f(x) = [tex]-\sqrt{x} -3[/tex]

Scott’s family has cats and birds as pets. Scott counted the total number of legs his pets have. Scott counted 30 legs total. If Scott’s family owns 3 birds, how many cats do they own?
Show how you solved it!!!!

I need this as soon as possible!

Answers

Each and every bird has 2legs(Scientific truth)

3birds would have=2(3)=6legs

Cats have:-

30-6=24legs

Each cat has 4legs.

Total cats:-

[tex]\\ \sf\longmapsto \dfrac{24}{4}=6cats[/tex]

What is the length of a square park whose area is 64 m2 - a) 8m b) 16m c) 4m​

Answers

Answer:

8m

Step-by-step explanation:

Square root of 64 is 8Therefore answer is 8 (cuz its a square park)

1.
Write an equation in point-slope form for the line through the given point with the given slope.

(10, –9); m = –2

A. y – 10 = –2(x + 9)

B. y – 9 = –2(x – 10)

C. y + 9 = –2(x – 10)

D. y – 9 = –2(x + 10)

Answers

Answer:

C

Step-by-step explanation:

Use  this formula:  y - y1 =  m(x - x1)         Given (10, -9) and slope (m) = -2

   y - (-9) = -2(x - 10)

   y + 9 = -2(x - 10)

   

Answer:

C. y + 9 = –2(x – 10)

Step-by-step explanation:

Coordinates (xA, yA)

10

-9

Slope(m)

-2

Point Slope Form

-2x - y + 11 = 0

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