Factorise the following:
a) x – 5x - 6
b) x + 3x – 40
C) - 7x - 30

Answer:C26 is also a Category of EAD (Employment Authorization Document) provided to immigrant workers in U.S. These are dependents of H1b visa holders commonly referred to as H4-EAD.

Step-by-step explanation:

Answer:

Its 15

Step-by-step explanation:

Answer:

P(Y) = 2/10 = 1/5

Step-by-step explanation:

From the above question:

Total number of marbles = 10 marbles

Number of yellow marbles = 2 yellow marbles

Number of blue marbles = 4 blue marbles

Number of red marbles = 4 red marbles.

The probability of choosing a marble that is yellow is calculated as:

= P(Y) = Number of yellow marbles/Total number of marbles

P(Y) = 2/10

P(Y) = 1/5

Answer:

D = 48kg

Step-by-step explanation:

The ratio of the weights of A and B is equal to the ratio of the weights

of C and D.

From the above question

A : B = C : D

This can also be interpreted as

A/B = C/D

A is 20 kg

B is 24kg

C is 40kg

D is ?

Therefore:

20/24 = 40/D

Cross Multiply

20D = 24 × 40

D = 24 × 40/20

D = 48

Therefore, D = 48kg

Answer:

Step-by-step explanation:

taylor is building doghouses to sell. each doghouse requires 3 full sheets of plywood which taylor cuts into new shapes. the plywood is shipped in bundles of 14 full sheets. how many doghouses can taylor make from 12 bundles of plywood?

Answer:

(x + 1)(x + 2)(2x + 1)(x - 3).

Step-by-step explanation:

From the leading and last coefficients, 2 and -6  the values +/- 1, +/-2 , +/- 3 could be roots of this equation ( well, up to 4 of them).

Try x = 1:

f(1) = 2(1)^4 + 1^3 - 14(1)^2 - 19(1) - 6 = -36 so its not 1.

f(-1) = 2 - 1 - 14 + 19 - 6 = 0 do x = -1 is a root.

Therefore (x + 1) is a factor  (By the factor theorem)

Try x = 2:

f(2) =  32 + 8 -56 - 38 - 6 = -6o so x =2 not a root.

f(-2) = 32 - 8 - 56 + 38 - 6 = 0 so x = -2 is a root and (x + 2) is a factor.

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

Long division:

                        2x^2 - 5x - 3   <-----------Quotient

                      --------------------------------------------

x^2 + 3x + 2 )     2x^4  +   x^3   -14x^2 -  19x  -  6

                          2x^4  + 6x^3 +  4x^2  

                                      -5x^3  - 18x^2 - 19x

                                      -5x^3  - 15x^2 - 10x

                                                      -3x^2 - 9x  - 6

                                                      -3x^2  - 9x - 6

                                                       .......................

2x^2 - 5x - 3 = (2x + 1)(x - 3)

So Finally,   the factors are (x + 1)(x + 2)(2x + 1)(x - 3).

Answer:

∠CBA = 132

Step-by-step explanation:

Bisectors split up an angle into two identical angles

Thus, 7x - 11 = 2x + 44

This is the equation we will use to solve for x

7x - 11 = 2x + 44

step 1 add 44 to each side

44 + 11 = 55

-11 + 11 cancels out

we now have 7x = 2x + 55

step 2 subtract 2x from each side

7x - 2x = 5x

2x - 2x cancels out

we now have 5x = 55

step 3 divide each side by 5

5x / 5  = x

55 / 5 = 11

we're left with x = 11

The question is asking for the measure of ∠CBA

To find the measure of ∠CBA we plug in 11 for x in one of the given expressions and multiply that by 2 ( this is because the two angles are identical so there is no need to find the measures of both because ∠CBD≅∠ABD )

7(11) - 11

7 * 11 = 77

77 - 11 = 66

66 * 2 = 132

Answer:

[tex]X=18.6ft[/tex]

Step-by-step explanation:

From the question we are told that:

Height of swing's crossbar [tex]H=10ft[/tex]

Angle [tex]\theta=40 \textdegree[/tex]

Depth of outrigger [tex]d_=3ft[/tex]

Generally the equation for slant height l is mathematically given by

[tex]l=\frac{opposite}{sin\theta}[/tex]

Therefore

[tex]l=\frac{H}{sin\theta}[/tex]

[tex]l=\frac{10}{sin 40\textdegree}[/tex]

[tex]l=15.6ft[/tex]

Since the Depth of outrigger

[tex]d_=3ft[/tex]

Therefore Length of the board X

[tex]X=l+d[/tex]

[tex]X=15.6+3[/tex]

[tex]X=18.6ft[/tex]

Answer:6300mm

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

f(n)=3n^2-7

f(-2)=3(-2)^2-7

f(-2)=3(-2)(-2)-7

f(-2)=3(4)-7

f(-2)=12-7

f(-2)=5

Answer:9

Step-by-step explanation:

You have to add it together

Answer:

D.

Step-by-step explanation:

Based on the attached picture we can say that function representing these values would be exponential because the Y values for successive Integer values of X have a common ratio of 16. This can be proven by multiplying each one of the y values by 16, which would give us the next y value in the successive set. For example,

2.5 * 16 = 40

40 * 16 = 640

640 * 16 = 10,240

Meaning that the values have a common ratio of 16, and are increasing exponentially.

Answer:

Obtuse triangle

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. There are different types of triangles such as right angled, acute, obtuse and isosceles triangle.

In right angle triangle, one angle is 90°. The square of the longest side (hypotenuse) is equal to the sum of the square of the two sides.

An acute triangle is a triangle with acute angles (less than 90°). The square of the longest side is less than the sum of the square of the two sides.

An obtuse triangle is a triangle with one obtuse angle (greater than 90°) and two acute angles (less than 90°). The square of the longest side is larger than the sum of the square of the two sides.

An isosceles triangle is a triangle with two equal sides.

Given a triangle whose side lengths are 8, 16, and 18, the longest side is 18.

Since no two sides are the same hence it is not an isosceles triangle.

Also, 18² > 16² + 8²; therefore this is an obtuse triangle

Answer:

I would say b as it's easier to group and find a common denominator

Step-by-step explanation:

Answer:

None of the listed choices are a solution

Step-by-step explanation:

y = 4x - 28

y = 1.5x - 18

Set the equations equal since both equal y

4x - 28 = 1.5x - 18

Subtract 1.5x from both sides

2.5x - 28 = -18

Add 28 to both sides

2.5x = 10

Divide both sides by 2.5

x = 4

---------------------

use x= 4 in either equation

y = 4x - 28

y = 4(4) - 28

y = 16 - 28

y = -12

--------------------

Solution (4, -12)

Answer:

x

=

2

Step-by-step explanation:

Answer:

Hello! answer: x = 12

Step-by-step explanation:

with these you have to cross multiply so 2 x 24 = 48 so now we know that 4 multiplied by something will equal 48 so we can simply do this by doing 48 ÷ 4 and 48 ÷ 4 = 12

Answer:

216in

Step-by-step explanation:

6 + 8 + 10 = 24

24 * 9 = 216

Answer:

6.2

Step-by-step explanation:

15+16=31

31/5=6.2

Step-by-step explanation:

[tex]15 + 16 \div 5 \\ calculate \: the \: sum \: of \: 15 \: and \: 16 \\ 31 \div 5 = 6 \frac{1}{5} \\ or \: 6.2[/tex]

Answer:

La respuesta a cada una de las preguntas es:

Step-by-step explanation:

a) Para calcular los kilogramos de naranjas vendidos durante el día, al tener el costo por kilogramo (14 pesos/kg) y la venta total (1124 pesos), puedes calcular de la siguiente forma:

b) Para identificar el costo de 3/4 de naranja, debes multiplicar 3/4 por el valor del kg de naranja (14 pesos/kg):

c) Si la señora compra un peso total de 0.3 kg de naranja, para obtener el costo debes realizar la misma operación del ejercicio anterior, es decir, multiplicar los kilos comprados (0.3 kg) por el costo de cada kilogramo de naranja (14 pesos/kg):

d) Para calcular el costo de 5 kg de naranja con un descuento del 10%, debemos multiplicar el costo por kilogramo (14 pesos/kg), por el número de kilogramos comprados (5 kg), y luego por el porcentaje restante tras el descuento (90%), puesto que el total es el 100% y le restamos el 10% de descuento, nos queda el 90%:

e) De entre todos los tipos de números que hay, dentro de los ejercicios resueltos se hace uso de los números racionales (por el uso de fraccionarios) y de los números naturales (por el uso de los números enteros positivos).

Answer: [tex]12< x \leq 20[/tex]

Step-by-step explanation:

Given

x is at a distance of 20 or less i.e. x can be 20 or less

[tex]x\leq20[/tex]

and it starts from the number 12 i.e.

[tex]12< x[/tex]

In interval notation it is

[tex]12< x \leq 20[/tex]

Answer:

600

Step-by-step explanation:

Answer:

80 sq ft

Step-by-step explanation:

this is a trapezoid and the formula for area is:

1/2 x height x (sum of the bases, which are parallel)

A = 1/2(10)(10+6)

= 5(16)

= 80 sq ft

46.4 inch

Step-by-step explanation:

Area=l×b

93.6 =5.2×b

93.6/5.2 =b

So b= 18

Again,

p=2(l+b)

p=2(18+5.2)

p= 2×23.2

p=46.4

Answer:

C. 17.4

Step-by-step explanation:

add all the numbers and then divide  

11 + 14 + 15 + 16 + 16 + 18 + 20 + 20 + 22 + 22 = 174

then divide by the amount of numbers there is which is 10.

174/10 = 17.4

Answer:

Solution given:

we have

f(x)=x²-9x-36

let

y=x²-9x-36

when

x=0

y=-36

when

y=0

0=x²-9x-36

x²-12x+3x-36=0

x(x-12)+3(x-12)=0

(x-12)(x+3)=0

either

x=12

x=-3

So,

x and y intercepts are (-3,0)(12,0) and 0,-36)

Answer:

Paul needs to work for 50 weeks.

Step-by-step explanation:

1,500+200= 1700

14,200-1,700= 12,500

12,500/125= 100

100/2= 50

let me know if this is wrong.

Answer:16 ^ 1.5 (or 3/2) = 64

64 ^ 0.5 (or 1/2) = 8

8 should be your answer

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

The question is asking how many blueberries per day and in ounces, so we divide 3 by 2

3/2 = 1.5

Then, convert 1.5 pounds into ounces

1 pound = 16 ounces

1.5 * 16 - 24