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The factorization of the given trinomial [tex]x^2 - 9x+ 20[/tex] is (x – 4)(x - 5). The correct option is A.

A trinomial is a polynomial that has three terms. To factor a trinomial of the form [tex]ax^2 + bx + c[/tex], you need to find two binomials that multiply together to produce the original trinomial.

To factor the trinomial [tex]x^2 - 9x + 20[/tex], we need to find two numbers that multiply to 20 and add up to -9. These two numbers are -4 and -5. Therefore, we can write:

[tex]x^2 - 9x + 20 = (x - 4)(x - 5)[/tex]

Or, To factor [tex]x^2 - 9x + 20[/tex], you need to find two numbers that multiply to 20 and add up to -9. These numbers are -4 and -5 because -4*(-5) = 20 and -4 + (-5) = -9.

You can factor the trinomial as (x - 4)(x - 5).

Thus, the correct option is A.

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Answer:

no lo sé por eso te lo escribo en español

The increase will be the original price x the increase rate.

15649 x 0.035 = $547.72

The new price would be original price + increase

15649 + 547.72 = $16,196.72

Answer:

The major difference between square and rectangle is that a square has all its sides equal whereas a rectangle has its opposite sides equal. In Geometry, we have learnt different types of shapes such as square, rectangle, cube, cone, cylinder, parallelogram, rhombus, and so on.

All these shapes can fall under any one of the categories such as two-dimensional shapes or three-dimensional shapes. All the shapes can share a few characteristics. But they have many different characteristics properties that differentiate the shapes from each other. In this article, let us discuss the difference between a rectangle and a square in detail.

Answer:

18 / 3 * 4 = a

a = 24

Step-by-step explanation:

so we know that 18 is = to %75 but we need to know what %100 is, to figure this out lets find a common denominator

so we know that %75 of something is 3/4, and to double check, we can take the fraction 3/4 and divide it the way its written, bc thats what a fraction is, a small division problem

3 / 4 = 0.75 or 75/100 or %75

so now we know we have 3 out of 4 parts of something, to find out how big each part is, we divide the number (18) by how many pieces we have...

18 / 3 = 6

so each 1/4 is = to 6, now to figure out the whole, we multiply by how many pieces are in said whole, in this case by 4

6 * 4 = 24

so since we know that 6 is = to %25 and we multiplied 6 by 4, we can do the same to %25...

25 * 4 = 100

and have the whole

this is basically a detailed explanation of the other answer

hope this helps :)

Answer:

NO

Step-by-step explanation: No because 3 times 5 is 15 plus 9 will be 24 not 18.

Answer:

Hello here is my answer

Step-by-step explanation:

The 2 ratios are 15:10 and 10:15

multiply the numbers of the first ratio with the last number if the second ratio, which means,

15*15=225

10*15=150

we get 225:150

now we multiply the numbers of the second ratio with the last number if the first ratio.which means,

10*10=100

15*10= 150

now compare bot of them

225:150::100:150

we see that 225:150>100:150

hence proven that 15:10 is not equal to 10:15

Answer:

.5

Step-by-step explanation:

sin30 = 0.5 when multiplied by 1 it stays the same

The solution is 4 green

The probability of choosing a green counter from the bag is 0.2

What is Probability?

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

The value of probability lies between 0 and 1

Given data ,

Let the probability of choosing a green counter be = P

Now , the value of P is

Let the total number of blue counters be G = 2

Let the total number of green counters be G = 4

Let the total number of red counters be G = 5

Let the total number of yellow counters be G = 9

So , the total number of counters = number of blue counters + number of green counters + number of red counters + number of yellow counters

Substituting the values in the equation , we get

The total number of counters = 2 + 4 + 5 + 9

The total number of counters = 20

Now , the probability of choosing the green counter P = total number of green counters / total number of counters

Substituting the values in the equation , we get

Probability of choosing the green counter P = 4/20

Probability of choosing the green counter P = 2/10

Probability of choosing the green counter P = 0.2

Therefore , the value of P is 0.2

Hence , the probability of choosing green counter is 0.2

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Given:

The word is "PHOTOGRAPH​".

To find:

The no. of permutations for the given words.

Solution:

The total number of letters in the word PHOTOGRAPH is 10.

It is clear that P, H, O are twice and T, G, R, A are occurred once.

To find the total number of permutations, we need to divide the permutation of 10 letters by the permutation of repeated letters.

The total number of permutations for the given word is

[tex]Permutations=\dfrac{10!}{2!2!2!1!1!1!1!}[/tex]

[tex]Permutations=\dfrac{10\times 9\times 8\times 7\times 6\times 5\times 4\times 3\times 2\times 1}{2\times 2\times 2}[/tex]

[tex]Permutations=10\times 9\times 7\times 6\times 5\times 4\times 3\times 2\times 1[/tex]

[tex]Permutations=453600[/tex]

Therefore, the no. of permutations for the word PHOTOGRAPH is 453600.

Answer:

so you have $12.95. then you multiply it by 8% which gives you $13.986. Then you take 10% off of it, which gives you $12.5874.

Answer:

The new price would be 108% of last year’s price. Multiply the new price by 4 and then multiply that amount by 90% to find the sale price.

Step-by-step explanation:

sample response

Answer:

8inches

Step-by-step explanation:

Length of the third side = perimeter - ( side1 + side2 )

                                       = 17 - (5+4)

                                       = 17 - 9

                                       = 8 inches

Answer:

a = -9

Step-by-step explanation:

a+(-4)=-13

add 4 to each side

a-4+4 = -13+4

a = -9

Answer:

a = - 9

Step-by-step explanation:

a  + (-4) = -13

Add  4 to both sides

a + (-4) + 4 = -13 + 4

       a + 0 = -9

        a = -9

When two numbers have different sign, subtract and the result will have the sign of the bigger number

Answer:

y = -4

Step-by-step explanation:

given x = -1

6x - 7y = 22

6(-1) -7y = 22

-6 - 7y = 22

-7y = 22 + 6

-7y = 28

y = -4

(Please heart and rate if you find it helpful, it's a motivation for me to help more people)

Answer:

x= -8

Step-by-step explanation:

Answer:

1st Side: 27 inches, 2nd Side: 23/2, 3rd Side: 67/2

Step-by-step explanation:

Let's solve your problem step by step:

First side should be: 2x+4

Because 2 times the second side =, and 4 longer than that.

Second side should be: x

This is the base of the equation, since all the numbers depend on "x"

Third side should be: (3x+4)-5

Because x + x+4, and the third side is 5 shorter..

We add all and we get 72.

Solve for x.

x=23/2

Now, we can solve for other sides, by doubling it and adding 4.

This is answer is correct, I tried it. :)

Answer:

20

Step-by-step explanation:

Answer:

100.

Step-by-step explanation:

By proportion the number of apples sold  is (6/4) * 40

= 6 *10

= 60.

Total fruit = 40 + 60 = 100.

Answer:

The figure is a straight line.

The figure lies in the first and the third quadrants.

Step-by-step explanation:

Take five ordered pairs as [tex](1,1),(2,2),(-1,-1),(-2,-2),(3,3)[/tex]

Here, the first and second coordinates are equal.

Now, plot these points and connect them.

From the graph, it can be observed that the figure is a straight line.

Also, the figure lies in the first and the third quadrants.

Answer:

x = -3

y = 4

Step-by-step explanation:

distribute first

7x + 35 = 2y + 6

combine 'like terms'

7x - 2y = -29

do same steps for second equation

4x + 4y = 13 + 3x

x + 4y = 13

System of Equations:

7x - 2y = -29

x + 4y = 13

Multiply the first equation by 2 to eliminate the 'y-term'

  14x - 4y = -58    (Now add this to the second equation)

+  x + 4y = 13

  15x = -45

x = -3

Substitute -3 for 'x' to find 'y'

-3 + 4y = 13

4y = 16

y = 4

Answer:

two sixteenth notes

Step-by-step explanation:

Answer:

1/2 of an eighth notes are in a sixteenth note

Step-by-step explanation:

2 sixteens = 1 eight

good luck, hope this helps :)

Answer:

y = 16.3

Step-by-step explanation:

We would apply the formula for altitude of a right triangle which is given as:

h = √(xy)

Where,

h = 14

x = 12

y = y = ?

Plug in the values

14 = √(12*y)

14² = (√(12*y) (squaring both sides)

196 = 12*y

196/12 = 12y/12 (division property of equality)

16.3 = y (nearest tenth)

y = 16.3

Answer:

9

Step-by-step explanation:

24 - 3(5)

24 - 15

9

good luck, i hope this helps :)

Answer:

C=2πr=2·π·7.5≈47.12389

Answer:

94.247780 cm is the circumference of the circle

Step-by-step explanation:

Hope this helps

Answer:

x=22

Step-by-step explanation:

trust me

Answer:

the answers (D)

Step-by-step explanation:

Answer:

14w + 14y - 28

Step-by-step explanation:

-7(-2w - 2y + 4)

Distributive:

14w + 14y - 28

good luck, hope this helps :)

Answer:

1. 3:2

2. 1:75

3. 2:5

4. 20:15 or 4:3

5. count the vowel letters and consonant letters of your full name then write it according to the ratio of the numbers of vowel and consonant letters