All categories

3 years ago

Factor completely 3ab − 5ax + 9b − 15x.

Mathematics

2 answers:

lora16 [44]3 years ago

7 0

Answer:

$(a+3)(3b-5x)$

Step-by-step explanation:

We are given that an expression

$3ab-5ax+9b-15x$

We have to find the factors of given expression

Rearrange the terms of given expression then we get

$3ab+9b-5ax-15x$

Now, we taking common 3b from first two terms and -5 x from last two terms

$3b(a+3)-5x(a+3)$

Now. taking common a+3 then we get

$(a+3)(3b-5x)$

victus00 [196]3 years ago

3 0

<span>(3b - 5x)(a +3) is the answer

</span>

You might be interested in

Which of the following are equivalent to the decimal 1.6

Sonbull [250]

1.6 -1.6 +1.6 is the following

8 0

3 years ago

Encontrar la Esperanza Matemática y Desviación Estándar del número de imperfecciones (y) en pizarra acrílica. (2 puntos) y 0 1 2

fredd [130]

Responder:

1,625; 0.8569

Explicación paso a paso:

y ___0 ____ 1 ____ 2 ____3

P (y) _1 / 8 ___ ¼ ___ ½ ____ 1/8

Valor esperado (E (x)): Σx * p (x)

= (0 * (1/8)) + (1 * (1/4)) + (2 * (1/2)) + (3 * (1/8)) = 1,625

La desviación estándar = sqrt (Var (x))

Var (X) = Σx²p (x) * E (x) ²

Var (X) = [(0 ^ 2 * (1/8)) + (1 ^ 2 * (1/4)) + (2 ^ 2 * (1/2)) + (3 ^ 2 * (1 / 8))] - 1.625²

Var (X) = (0 * (1/8)) + (1 * (1/4)) + (4 * (1/2)) + (9 * (1/8)) - 1.625 ^ 2

= 3.375 - 2.640625

= 0,734375

Desviación estándar = Sqrt (0,734375) = 0,8569

7 0

3 years ago

what algorithm (rule) will produce the correct result for the sum "a+b" where a and b each represent any rational number.

Leokris [45]

Answer:

To find the sum of a + b where a and b are rational number.

1. when a and b are natural numbers

just add them . for example a =3, b=8

then ,a + b = 11

2. When a and b are whole numbers,

simply add them . for example a= 0, b=8

a+ b = 0 + 8= 8

3. When a and b are integers

for example, a =-1 b=8,

a+ b= -1+ 8 =7,

a=-2, b= -8

a+ b= -2-8=-10

a= -6 , b=2

a+ b= -6 + 2= -4

a= 8, b= -2

a+ b= 8 +(-2) =6

I have written this because Rational number = [Integers{Whole number(Natural number)}]

now when a= Any fraction= $\frac{p}{q}$ and b = Any fraction= $\frac{u}{v}$

now ,

$\frac{p}{q} + \frac{u}{v}$

Find L.C.M of q and v

= if q and v are Co-prime , just multiply them to find their L.C.M.

For example 14,9. LCM=14×9=126

Otherwise, Find factors of q and v . Then take out common factors first and then multiply the remaining with with common factors.For example

q=12 and v=18

12 =2×2×3

18=2×3×3

common factor =2,3

non common=2,3

L.C.M= 2×2×3×3=36

Suppose LCM of q and v = r

then , $\frac{p}{q} + \frac{u}{v}$

= $\frac{{\frac{r}{q}}\times p+{\frac{r}{v}\times u}}{r}\\$

= ${{\frac{r}{q}}\times p+{\frac{r}{v}\times u}} = k$

then ,

a + b= $\frac{k}{r}$

5 0

3 years ago

M Explain why this is true<br> PLEASE HELP!!!

borishaifa [10]

Answer:

The given statement is true because the person they did their steps correctly

a) Locate a point C so that ABC is a right triangle with m ACB ∠ = ° 90 and the measure of one of the acute angles in the triangle is 45° .

b) Locate a point D so that ABD is a right triangle with m ADB ∠ = ° 90 and

the measure of one of the acute angles in the triangle is30° .

c) Locate a point E so that ABE is a right triangle with m AEB ∠ = ° 90 and

the measure of one of the acute angles in the triangle is15° .

d) Find the distance between point C and the midpoint of segment AB .

Repeat with points D and E.

e) Suppose F is a point on the graph so that ABF is a right triangle

withm AFB ∠ =° 90 . Make a conjecture about the point F.

3 0

3 years ago

Please answer this correctly

brilliants [131]

Answer:

3 years 8 month

Step-by-step explanation:

Given 7 years 6 months - 3 years 10 months

Step 1: Firstly we should subtract months from months then after from year to year.

Step 2: 6 months is less than 10 months so we have to borrow 1 year and add it to the months.

Step 3: Adding 1 year to 6 months we get 18 months.

Step 4: Now we have to subtract 3 years 10 months from 6 years 18 months.

$6\ years\ 18\ months-3\ years\ 10\ months=3\ years\ 8\ months$

Step 5: After subtracting we get 3 years 8 months.

Thus the answer is 3 years 8 months.

8 0

3 years ago