Factor 2x² + 13x + 20​

Answers

Answer 1

Answer:

(2x+5)(x+4)

Step-by-step explanation:

Answer 2

9514 1404 393

Answer:

  (x +4)(2x +5)

Step-by-step explanation:

To factor this, you look for factors of 2·20 = 40 that have a sum of 13.

The factor pairs of 40 are ...

  40 = 1·40 = 2·20 = 4·10 = 5·8

The sums of these factor pairs are 41, 22, 14, 13. The last one is the one we want.

There are several ways to use this factor pair. One of the more straightforward methods is to rewrite the middle term as a sum using these numbers:

  2x² +5x +8x +20

  = x(2x +5) +4(2x +5) . . . . . factor pairs of terms

  = (x +4)(2x +5) . . . . . . . . . factor out the common factor


Related Questions

your phone bill is N42. It increases by 10% after 12 months, and a further 20% increase is applied six months later. What’s the price of your phone bill after 18 months?

Answers

9514 1404 393

Answer:

  N55.44

Step-by-step explanation:

The bill is multiplied by 1+10% = 1.10 after the first increase. The second increase multiplies that by 1+20% = 1.20. After 18 months, the bill is ...

  N42 × 1.10 × 1.20 ≈ N55.44 . . . . price after 18 months

What number is 1/2 of 3/4

Answers

Answer

1.5/4

Step-by-step explanation:

Area
Exercise 5.2
1. Calculate the perimeter and area of the
rectangle with the following sides
a) length = 10 cm; width 6 cm
b) length - 8 cm; width = 6 cm
c) length 11 cm; width=10 cm
d) length = 20 cm; width=15cm

Answers

Answer:

perimeter=2(l+w).

2(10+6)

2(16)

32cm.

b)2(8+6)

2(14)

28

c)2(11+10)

2(21)

42.

d)2(20+15)

2(35)

70.

whats equivalent to (4r+ 3) +(-2r+ 4)

Answers

Answer:

2r+7

Step-by-step explanation:

(4r+3)+(−2r+4)

Combine 4r and −2r to get 2r.

2r+3+4

Add 3 and 4 to get 7.

2r+7

:)

~ 4r-2r= 2r
~ 3+4=7
answer : 2r+7

What is 12 divided by 2/5?

Answers

Answer:30

Step-by-step explanation:

Hurry will mark brainiest . There are seven nickels and five dimes in your pocket. Three times, you randomly pick a coin out of your pocket, return it to your pocket, and then mix-up the change in your pocket. All three times, the coin is a nickel. Find the probability of this occurring.
A. 343/1728
B. 1/22
C. 1/8
D. 25/546

Answers

Answer: A. 343/1728

Step-by-step explanation:

All you have to do is multiply (or, in this case, cube) both the numerator and denominator to get the probability.

[tex]\frac{7^{3} }{12^{3} }[/tex] or [tex]\frac{7*7*7}{12*12*12}[/tex]

Solve each equation.
3a - 7 = 26
A=

Answers

Answer:

a = 11

Step-by-step explanation:

One is given the following equation:

3a - 7 = 26

Use inverse operations to solve this equation:

3a - 7 = 26

(add (7) to both sides)

3a = 26 + 7

Simplify,

3a = 26 + 7

3a = 33

Inverse operations,

3a = 33

(divide both sides by (3))

a = 33 / 3

Simplify,

a = 11

11/13 = v/7 round to the nearest tenth​

Answers

Answer:

5.9

Step-by-step explanation:

If you’re trying to find v, well here is the right answer:

5.9

Step 1. Multiply 7 by 11

Step 2. Then divide it by 13

Answer should be 5.9

Show that the points (3,3) ,. (-2,3) are vertices of an isosceles triangle​

Answers

Answer:

because the points are vertical and an isosceles has vertical sides

please help me, if you help then thanks!

Answers

Answer:

B. [tex] {a}^{ - 7 - 10} [/tex] (second option)

Step-by-step explanation:

[tex] \frac{ {a}^{ - 7} }{ {a}^{10} } [/tex]

[tex] {a}^{ - 7 - 10} [/tex]

[tex] - 7 - 10 = - (7 + 10) = - 17[/tex]

What is the probability of getting two heads and 1 tail

Answers

There is a 1/3 chance. Because there are 3 coins

Answer:

1/2

please mark me brainliest

a. Solve x + 9 = x + 9. b. If you simplify an equation and get 0 = 0, what can you conclude about the solution(s) of the original equation? a. Select the correct choice below and, if necessary, fill in the answer box within your choice. O A. (Simplify your answer.) O B. The solution is all real numbers. O C. There is no solution.​

Answers

My friend told me the answer is 57

Given that
AB - BC
3, complete the statements to
DE EF
show that AABC - ADEF by the SAS similarity
theorem.
Horizontal and vertical lines are
So, angles
are right angles by definition of
perpendicular
lines.
All right angles are
Therefore, AABC - ADEF by the SAS similarity
theorem.

Answers

Answer:

Horizontal and vertical lines are perpendicular. So angles B&E .All right angles are 90°.

i hope you're helped

Horizontal and vertical lines are perpendicular. So, angles B and E are right angle by definition of perpendicular lines. All right angles are 90°/congruent/equal.

What are Similar Triangles?

Two triangles are said to be similar if the triangles are of the same shape but different size. The angles of the triangle will be equal and the sides are proportional.

Given are two triangles ABC and DEF.

Two triangles are similar if all the corresponding angles are equal and the corresponding sides are proportional.

Here, given that,

AB / DE = BC / EF = 1 / 2.

So, two corresponding sides are proportional.

SAS similarity postulate is that, if two corresponding sides of two triangles are proportional and the corresponding included angle is congruent, then the two triangles are similar.

So we have to prove included angle B and E are equal.

A horizontal and vertical lines are always perpendicular.

Here B and E are formed by a horizontal and a vertical line.

So they are right angles.

All right angles are 90°. So they are equal or congruent.

So Triangles ABC and DEF are similar by SAS.

Learn more about Similar Triangles here :

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What is the arc length of arc cd in the circle below. The circle has a radius of 6ft and an angle measure of 30

Answers

9514 1404 393

Answer:

  π ft ≈ 3.14 ft

Step-by-step explanation:

The angle is 1/12 of the number of degrees in a circle, so the arc length will be 1/12 of the circumference of the circle.

 C = 2πr

 1/12C = 2/12π(6 ft) = π ft ≈ 3.14 ft

The arc length is about 3.14 feet.

what is
[tex] \frac{28}{141} [/tex]
as a percentage​

Answers

The answer to the question is 17.02

Answer:

19,86%

Step-by-step explanation:

[tex] \frac{28}{141} = 0.198582[/tex]

➡️ [tex]0.1986[/tex]

➡️ [tex]0.1986 \times \frac{100}{100} [/tex]

➡️ [tex] \frac{0.1986 \times 100}{100} [/tex]

➡️ [tex] \frac{19.86}{100} [/tex]

➡️ [tex] = 19.86\%[/tex] ✅

PLS HELP! WILL GIVE BRAINLIEST

Answers

Answer:

csc x sec x

Step-by-step explanation:

csc = 1/sin

1/sin^2    /  cos/sin    =   1 / sin^2    *  sin/cos       =   1 / sin cos  = csc sec

<333
The owner has 8 employees. Seven of them
earn $ 210, $200, $190, $180, $300, $150,$90 a
day. What does the 8th employee get paid, if the
average pay for all 8 employees is $200?

Answers

(210+200+190+180+300+150+90+x)/8=200
(1320+x)/8=200 /*8
1320 +x=1600
X=1600-1320
X= 280

Question 7 of 10
Which of the following can you determine, when you use deduction and start
from a given set of rules and conditions?
A. None of these
B. What must be true
C. What may be false
D. What may be true

Answers

Answer:

what may be true

Step-by-step explanation:

i just took the test and got the answer correct, i hope this helps.

Compare 7/2 and 10/8

Answers

Step-by-step explanation:

7/2

=3.5

10/8

=1.25

Hence, 3.5>1.25

Therefore, 7/2>10/8

Find two rational numbers between the root of 2 and root 3​

Answers

9514 1404 393

Answer:

  1.5 and 1.6

Step-by-step explanation:

√2 ≈ 1.41421356...

√3 ≈ 1.7320508...

1.5 and 1.6 are between these numbers

__

If you need the ratio of integers, these numbers are 3/2 and 8/5.

Rewrite 14 / 25 and 11 / 20 so that they have a common denominator

Answers

The fraction equivalent of the given fractions with the same denominator is written as [tex]\frac{56}{100} \ and \ \frac{55}{100}[/tex]

The given parameters include:

[tex]\frac{14}{25} \ and \ \frac{11}{20}[/tex]

To rewrite the given fractions to have the same denominator, we must find the LCM of the denominators;

The prime factorization of 25 = 5²

The prime factorization of 20 = 5 x 2²

The LCM of the two numbers = 5² x 2²  = 25 x 4 = 100

The fractions can rewritten as follows;

[tex]\frac{14}{25} \ = \frac{14}{25} \times \frac{4}{4} = \frac{14 \times 4}{25 \times 4} = \frac{56}{100} \\\\\frac{11}{20} \ = \frac{11}{20} \times \frac{5}{5} = \frac{11 \times 5}{20 \times 5} = \frac{55}{100}[/tex]

Thus, the fraction equivalent of the given fractions with the same denominator is written as [tex]\frac{56}{100} \ and \ \frac{55}{100}[/tex]

Learn more here: https://brainly.com/question/17248258

Write 28.63 in expanded notation and word form.

Answers

Answer:

Answer below

Step-by-step explanation:

Expanded form : 20 + 8 + 0.6 + 0.03

Expanded form is a way of writing numbers to see the individual math value of digits.

Word form: twenty eight point six three.

HOPE THIS HELPED

What is the value of the expression 4x^3 – 3x when x = 6?

Answers

X=6,
4(6)^3 - 3(6)
4*(216)- 18
864 - 18
=846.


Hope it helped!

Compare: 7/20 O 35%

who answers first get brainlest

Answers

Step-by-step explanation:

7/20

=0.35

35%

=35/100

=0.35

Hence, 7/20=35%

expand or simplify
3c(5+c) -2(3c-7)​

Answers

3c(5+c) -2(3c-7)
15c+3c^2-6c+14
9c+3c^2+14

Answer:

It is 3c² + 9c + 14

Step-by-step explanation:

[tex]3c(5 + c) - 2(3c - 7)[/tex]

open the brackets:

[tex] = (15c + 3 {c}^{2} ) - (6c - 14) \\ = (15c + {3c}^{2} ) - 6c + 14[/tex]

express in quadratic equation:

[tex]3 {c}^{2} + 9c + 14[/tex]

find the coordinates of the vertex ​

Answers

You can either transform this quadratic equation into a vertex form which would rather painful or use derivatives.

I'll use dervatives. We know that vertex of a quadratic function is either its maxima or its minima, since the leading coefficient [tex]-x^2[/tex] has a negative prefix that means we get a downward turned parabola with minima being the vertex.

First we take the derivative with respect to x,

[tex]\dfrac{d}{dx}-x^2-2x+3=-2x-2[/tex]

The derivative is esentially information what is the slope of a function at a particular x. When the slope is 0 we reached some sort of turning point, such as minima.

We therefore do,

[tex]-2x-2=0\implies x=-1[/tex]

So at [tex]x=-1[/tex] there appears to be a minima or x-coordinate of the vertex of the function.

Plug the coordinate into the function to get y,

[tex]y=f(-1)=-1+2+3=4[/tex]

So the vertex of the function is at [tex]\boxed{(-1,4)}[/tex].

Assuming you don't know derivatives, there is another way.

First compute the roots of the function,

[tex]-x^2-2x+3=0[/tex]

[tex]-(x-1)(x+3)=0[/tex]

[tex]x_1=1,x_2=-3[/tex]

In the middle between [tex]x_1,x_2[/tex] is an x coordinate of a vertex,

[tex]x=\dfrac{x_1+x_2}{2}=\dfrac{1-3}{2}=-1[/tex]

Just like we had before, we compute for y, [tex]h(-1)=4[/tex] and again the result is [tex]\boxed{(-1,4)}[/tex].

Hope this helps :)

What is the volume of the rectangular solid?
12 cubic feet
15 cubic feet
5 ft
25 cubic feet
50 cubic feet
2 ft
5 ft
Mark this and retum
Save and Exit
Next
Submit

Answers

Answer:

I need to see the rectangular solid

In a class of 25 students, 13 students wear glasses and 12 students do not wear glasses.

The ratio of glasses to non-glasses wearing students is 13:12.

Is this ratio part-to-part or part-to-whole?

Answers

the ratio of students do not wear glass to total students

[tex]\frac{12}{25}[/tex]

the ratio of students wear glass to total number of students is

[tex]\frac{13}{25}[/tex]

Given

In a class of 25 students, 13 students wear glasses and 12 students do not wear glasses

The ratio of glasses to non-glasses wearing students is 13:12.

Explanation :

we need to find the ratio students wear glasses to whole students

There are total of 25 students.

13 students wear glass

So the ratio of students wear glass to total number of students is

[tex]\frac{13}{25}[/tex]

Similarly , we can find the ratio of students do not wear glass to total students

[tex]\frac{12}{25}[/tex]

Learn more :  brainly.com/question/17218035

The overall direction of this data is __________. The strength of the association is __________. a.) positive; strong

Answers

Answer:

The overall direction of this data is positive. The strength of the association is strong

Step-by-step explanation:

it might be that the data could be negative and not positive

the strength is perfectly strong

base on the whole statement so

hope that helps>3

The overall direction of the data is positive also the strength of the association is strong.

What is an arithmetic operation?

The four basic mathematical operations are the addition, subtraction, multiplication, and division of two or even more integers. Among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.

The overall trend of the data is positive, and the association is strongly correlated.

To know more about arithmetic operations:

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If a=2, b=3 and c=4 then find the numerical value of a2+2abc+b2+c2

Answers

a=2 b=3 and c=4. then,

a2+2abc+b2+c2

a2+2abc+b2+c2= 2^2+2×2×3×4+3^2+4^2

(replace value of a, b, c by2,3,4 respectively tgen solve)

= 4+48+9+16

= 77

Therefore, 77 is correct answer.

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