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

help pls Nate went camping with his family. They left their house at 4:20 P.M. It took 1 hour and 15 minutes to drive to the campground. When they arrived, they spent 40 minutes setting up the campsite and 1 hour and 15 minutes cooking dinner. What time was it when Nate and his family finally ate dinner?

Include A.M. or P.M. in your answer (for example, 11:58 A.M.).

Answers

Answer:

7:30 pm

Step-by-step explanation:

pretty much just add on all the times

7:30 P.M. is your answer! x

2x^4y^3(5x) simplify fully

Answers

Answer:

the answer is (2•5x5y3)

Step-by-step explanation:

1.  (2x4 • y3) • 5x

Multiplying exponential expressions

2. x4 multiplied by x1 = x(4 + 1) = x5

Final result :

(2•5x5y3)

Sorry if I'm wrong

Answer:

10 x ^5 y^ 3

Step-by-step explanation:

Help pls solve fast I will give Brainlyest

Answers

Y equals 5/6 I think

A random sample of 17 students, taught in traditional lab sessions, had a mean test score of 71.5 with a standard deviation of 4.8. A random sample of 13 students, taught using interactive simulation software, had a mean test score of 78.5 with a standard deviation of 6. Do these results support the claim that the mean science test score is lower for students taught in traditional lab sessions than it is for students taught using interactive simulation software

Answers

Answer:

The calculated value of t= -0.9468 does not lie in the critical region t= -1.701. Therefore we accept our null hypothesis that mean science test score is lower for students taught in traditional lab sessions than it is for students taught using interactive simulation software at the 0.05 significance level

Step-by-step explanation:

Categories         Sample Size           Mean           Standard D

Traditional Lab        17                        71.5                    4.8

Software                 13                        78. 5                    6

We are using Student's t- test considering that the population variance is equal.

We formulate null and alternate hypotheses are

H0 : u1 < u2 against Ha: u1 ≥ u 2

The Significance level alpha is chosen to be ∝ = 0.05

The critical region t ≤ -t (0.05, 28) = -1.701

Degrees of freedom is calculated df = υ= n1+n2- 2= 17+13-2= 28

Here the difference between the sample means is x`1- x`2= 71.5-78.5= -7

The pooled estimate for the common variance σ² is

Sp² = 1/n1+n2 -2 [ ∑ (x1i - x1`)² + ∑ (x2j - x`2)²]

= 1/17+13-2 [ 71.5²+78.5²]

Sp = 20.0664

The test statistic is

t = (x`1- x` ) /. Sp √1/n1 + 1/n2

t= -7/ 20.0664 √1/17+ 1/13

t= -7/7.393

t= -0.9468

The calculated value of t= -0.9468 does not lie in the critical region t= -1.701. Therefore we accept our null hypothesis that mean science test score is lower for students taught in traditional lab sessions than it is for students taught using interactive simulation software at the 0.05 significance level

It rained 40% of the days during Casey's vacation. What fraction of the days did it rain? Please help me!
Choices: 1/2 , 1/5 , 1/40 , 40/100

Answers

Answer:
40/100=2/5
2/5 is the answer.

Grapes cost $2.70 per pound. You buy 2.5 pounds of grapes and give the cashier $10. How much change do you receive​

Answers

Answer:

$3.25

Step-by-step explanation:

The grapes costs $2.70 per pound but you're buying 2.5 pounds so take $2.70 x 2.5 = $6.75. Now u just take $10 - $6.75 which equals $3.25 and thats ur answer.

Answer:

You receive 3.25 cash back.

Step-by-step explanation:

2.70 x 2.5 = 6.75

6.75 + ? = 10

A = 3.25

I GIVEEEEE BRAINLILST

Answers

Answer:

113

Step-by-step explanation:

The area is π[tex]r^{2}[/tex], and pi is about 3. r is d/2 which is 12/2=6.

6^2 is 36 and 36*3 = 108. 113 is the closest, so that is the best estimate.

what is 100 × 100
A: 1000
B: 700
C: 200
D: None of the Above​

Answers

Answer:

The answer is 10,000

Step-by-step explanation:

So the answer is not there so it is none of the above

100 x 100 is 10,000 so the answer would be none of the above

3 times as many as 2805

Answers

Answer:

i dont understand can you put it in like an equation

Suppose there are 17 jelly beans in a box -2 red, 6 blue, 4 white, and 5 green what part of the jelly beans is blue? Express your answer in each of the forms requested

Answers

Answer:

Blue part = [tex]\dfrac{6}{17}[/tex]

Step-by-step explanation:

Given that,

Total number of jelly beans = 17

Red beans = 2

Blue beans = 6

White beans = 4

Green beans = 5

We need to find what part of the jelly beans is blue.

[tex]F_b=\dfrac{\text{Blue beans}}{\text{Total beans}}\\\\F_b=\dfrac{6}{17}[/tex]

Hence, the required part of the jelly beans that is blue is [tex]\dfrac{6}{17}[/tex].

A pizza is cut into 6 equal pieces. After Eli and Dan eat
some, of the pizza is left. What fraction could each boy eat?

Answers

2+2 is 4 - 1 that’s three quick maths ok sorry bye have a good day

Which model represents a percent error of 25%?

Answers

25% = 1/4

Count total squares in each and the number of blue ones.

Divide blue by total and see which one is 1/4.

The 3rd image shows 1/4

Answer:

It is A trust me i got C wrong!

Step-by-step explanation:

Hope this help! (:

The city of Joyville has 87,388 residents round the number of people who live in joyville

Answers

Answer:

there is no answer

but ok

Step-by-step explanation:

Answer:

depending on how you're rounding it

Step-by-step explanation:

90,000  88,000 87,000 87,400 87,390 if its more then five round up less than five round down

A military plane is flying directly toward an air traffic control tower, maintaining an altitude of 9 miles above the tower. The radar detects that the distance between the plane and the tower is 15 miles and that it is decreasing at a rate of 750mph. What is the ground speed of the plane

Answers

Answer:

-937.5 mph

Step-by-step explanation:

Assuming this takes place in a right angled triangle. With the hypotenuse side being, d, 15 miles, the opposite side being 9 miles and the adjacent being an unknown, x.

Using Pythagoras theorem, we know that

x² = 15² - 9²

x² = 225 - 81

x² = 144

x = √144

x = 12 miles.

Again, we should know that

2xx' = 2dd', this means that

xx' = dd'

From the question, we're told that it's decreasing at d' = 750 mph. On substituting, we have

x' = dd' / x

x' = (15 * -750) / 12

x' = -11250 / 12

x' = -937.5 mile per hour

The ground speed of the plane is also decreasing at 937.5 mile per hour

Find the length of PR

Answers

The answer is 4(2x+1)

Answer:

the first one

4(2x+1)

Step-by-step explanation:

3x+5x=8x

6-2=4

8x+4

In JKL and PQR, if JK = PQ, congruent to PQR.

True or False

Answers

Answer:

True

Step-by-step explanation:

Two shapes are congruent if when turning, flipping or sliding one shape it can become another.

HELP MY HOMEWORK SO HARDDDD

Answers

Answer:

6.7

Step-by-step explanation:

Theres a formula to figure this out. If you know two sides of a right angle triangle you can find the third.

Use the formula a²=b²+c², where a is the side opposite the right angle and b and c are the other sides.

a²=b²+c²

7²=2²+c²

49=4+c²

49-4=c²

c=√45 or 6.7082039325


Natalie saved $20 when she purchased a new phone. The phone originally cost $125. What percent savings did Natalie receive on the purchase of the new phone?

Answers

15% I think, I’m pretty sure I’m right

The student council needs posters for the Winter Carnival. The print shop charges $15 for each print job. Each poster will cost an additional
$1.35.
Which equation shows the relationship between the number of posters, n, and the total cost, c, in dollars?

O A. c = 1.35n + 15
O B. n = 1.35n + 15
O C. c = 16.35n
O D. n = 16.35c

Answers

Answer: A. c = 1.35n + 15

Step-by-step explanation:

Given: Charge for each job = $15

Additional cost per poster = $ 1.35

Total cost = Charge for each job + (Additional cost per poster) (Number of posters)     ...(i)

Varaibles:

c= Tota; cost for n posters.

Substitute all values in (i), we get

[tex]c=15+1.35n[/tex]

Hence, the required equation : c = 1.35n + 15

Hence, the correct option is A. c = 1.35n + 15.

Help please
I don't understand this at all i need the answer fast <3

Answers

Answer:

-2 < 6

4 > -8

Step-by-step explanation:

The ratio of green to yellow M&M's is 2:5.
If there are 18 green M&M's in the bag, how many are yellow?

Answers

Answer:

45 yellow ones, i think

Step-by-step explanation:

for every 2 green, there are 5 yellow

there are 18 green, so 9 pairs

9 times 5 = 45  (i multiplied by 5 because there are 5 yellow for each pair of green)

3x3-9+2
plz help i may ask

Answers

Answer:

[tex]3 \times 3 - 9 + 2 = 9 - 9 + 2 = 2[/tex]

Answer: 2

Step-by-step explanation: 9-9=0+2=2

please help me! if correct will mark brainliest

Answers

Answer:

17.5

Step-by-step explanation:

formula:

y=k(x)

direct variation^^^

y=7, x=2

substitute it in the formula

7=(k)2 or 7=2k

7/2 or 3.5= k, k is the constant

now substitute k to the problem

y=5k

y=5(3.5)

y=17.5

When Erin simplified 6 - (-4) she got 2 as her answer. Is this correct? If not, what is the correct
simplification?

Answers

It should be 10, when there is a double negative the signs become positive

PLS HELP ASAP THIS IS DUE TODAY AND IM JUST NOW REMEMBERING IT

Answers

i think it's just simply y - 7 ?

Answer:

Its y-7

Step-by-step explanation:

7 less than Y/ y - 7

A company manufactures a certain item and sells it online. The company has a business model where the cost C, in dollars, to make x items is given by the equation C=2.5x+21 and the revenue R, in dollars, made by selling x items is given by the equation R=6x. The break even point is the point where the cost and the revenue intersect. How many items must the company sell to break even?

Answers

Answer:

see the attachment

Step-by-step explanation:

The break-even point is on both curves. The y-intercept can be used for the other point in each case.

The break-even point is where cost and revenue are the same:

 20/3x +50 = 10x

 50 = 10/3x . . . . . . . . subtract 20/3x

 15 = x . . . . . multiply by 3/10

 r = c = 10(15) = 150 . . . . for x = 10

Two points you can use for graphing the lines are ...

 cost: (0, 50) and (15, 150)

 revenue: (0, 0) and (15, 150)

9514 1404 393

Answer:

  6

Step-by-step explanation:

Cost and revenue are equal when ...

  C = R

  2.5x +21 = 6x

  21 = 3.5x . . . . . . subtract 2.5x

  6 = x . . . . . . . . . .divide by 3.5

The company must sell 6 items to break even.

Express 593 million in scientific notation

Answers

Answer:

593 million=593,000,000=5.93×10⁸

5.93×10⁸ is the right answer.

HURRY PLEASE!!! IM BEING TIMED. I WILL GIVE YOU BRAINLIEST!

Answers

Answer:

what is Joshuas savings?

Answer:

10 months

Step-by-step explanation:

250 / 25

hope this helped :))

Write the sentence as an equation. y multiplied by 184 is 395

Answers

Answer:

y * 184 = 395

Step-by-step explanation:

Answer:

184y = 395 should be the answer

Step-by-step explanation:

help please I begging can you please help me and break it down ​

Answers

Answer:

[tex]c=\sqrt{32}[/tex]

Step-by-step explanation:

When we solve for this we should always remember this formula [tex]a^2+b^2=c^2[/tex] and since we already know a and b we can plug that in to find out what c could be but we won't actually solve it.

[tex]a^2+b^2=c^2\\4^2+4^2=c^2\\16+16=c^2\\32=c^2\\\sqrt{c^2}=\sqrt{32}\\c=\sqrt{32}[/tex]

So c would equal whatever the square root of 32 is.

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