Year 8 maths Finding the rule using a table of values

Answer:

Answer : 21 - 20i

Step-by-step explanation:

[tex] {(2 - i)}^{4} = (2 - i) {}^{2} (2 - i) {}^{2} \\ \\ = (4 - 2i - {i}^{2} )(4 - 2i - {i}^{2} )[/tex]

remember i² is -1 :

[tex] = (4 - 2i - ( - 1))(4 - 2i - ( - 1)) \\ = (5 - 2i)(5 - 2i) \\ \\ = (25 - 20i + 4 {i}^{2} ) \\ = (25 - 20i + 4( - 1)) \\ = (25 - 20i - 4) \\ = 21 - 20i[/tex]

Answer:

8 - 4i

Step-by-step explanation:

(2- i)4

= (2 × 4 - 4 × i)

= 8 - 4i

Answer:

1= 1 7/8 or 1.875

2= 235.75

3= 10 1/2 or 10.5

4=191.53

5=1 5/12 or 1.4166667

6=239.13

hope this helps

Answer:

1.

[tex] \frac{9}{4} [/tex]

2. 235.75

3.

[tex] \frac{21}{2} [/tex]

4. 191.53

5.

[tex] \frac{17}{12} [/tex]

6. 239.13

Step-by-step explanation:

1.

[tex]3 \times \frac{3}{8} - 1 \times \frac{1}{2} = 2 \times \frac{1}{4} or \: \frac{9}{4} [/tex]

2. 168.45 + 67.3 = 235.75

3.

[tex]6 \times \frac{3}{5} + 3 \times \frac{9}{10} = \frac{21}{2} [/tex]

4. 249.6 - 58.07 = 191.53

5.

[tex] \frac{5}{6} + \frac{7}{12} = \frac{17}{12} [/tex]

6. 334.16 - 95.03 = 239.13

Answer:

The first box (upper left corner)

Step-by-step explanation:

Since the y-intercept is 1/4 (you can find this where x = 0), in slope intercept the second number must equal the y-intercept.

Example:

y = 3x + 2 (0,2) is the y-intercept.

Therefore, the second number must equal 1/4 which the first box is correct.

(Negative 1/4 multiplied by -1 equals positive 1/4)

Answer:

A = -8

B = 27

X = 6

y = 3

z = 9

Step-by-step explanation:

hope that helps

Answer:

Below in bold.

Step-by-step explanation:

A = (-2)^3 = -8.

B = (3)^3 = 27.

j^(3*3) = j^9 and j^(1*3) = j^3

j^9 / j^3 = j^6

So x = 6.

y = 3.

m^(3 * 3) = m^9.

z = 3*3 = 9.

Answer:

156

Step-by-step explanation:

just plug in the x and y values

Answer:

= 14/3

Step-by-step explanation:

add 3  to both sides of the equation

Hello :D

Let's form an equation:

x/5 = 27

Let's form another equation:

(x+y)/7 = 34

Rearrange equation one so it is x = 27 x 5 = 135

Now we can substitute this value into equation 2:

(135 + y)/7 = 34

135 + y = 238

y = 238 - 135

y = 103

Answer is 103

Answer:

103 christmas trees.

Step-by-step explanation:

total trees sold in the first five days:

[tex]27 \times 5 = 135[/tex]

total trees sold in this week:

[tex]34 \times 7 = 238[/tex]

The answer is:

[tex]238 - 135 = 103[/tex]

Answer:

9-5.   10  11.

Step-by-step explanation:

#33

[tex]\\ \sf\longmapsto \dfrac{300(300+1)}{2}[/tex]

[tex]\\ \sf\longmapsto \dfrac{300(301)}{2}[/tex]

[tex]\\ \sf\longmapsto 150(301)=45150[/tex]

#34

[tex]\\ \sf\longmapsto \dfrac{500(500+1)}{2}[/tex]

[tex]\\ \sf\longmapsto 250(501)[/tex]

[tex]\\ \sf\longmapsto 125250[/tex]

#35

[tex]\\ \sf\longmapsto \dfrac{675(675+1)}{2}[/tex]

[tex]\\ \sf\longmapsto dfrac{675(676)}{2}[/tex]

[tex]\\ \sf\longmapsto 675(338)[/tex]

[tex]\\ \sf\longmapsto 228150[/tex]

#36

[tex]\\ \sf\longmapsto \dfrac{825(825+1)}{2}[/tex]

[tex]\\ \sf\longmapsto \dfrac{825(826)}{2}[/tex]

[tex]\\ \sf\longmapsto \dfrac{825(413)}{1}[/tex]

[tex]\\ \sf\longmapsto 340725[/tex]

#37

[tex]\\ \sf\longmapsto n^2[/tex]

[tex]\\ \sf\longmapsto 51^2[/tex]

[tex]\\ \sf\longmapsto 2621[/tex]

#38

[tex]\\ \sf\longmapsto n^2[/tex]

[tex]\\ \sf\longmapsto 25^2[/tex]

[tex]\\ \sf\longmapsto 625[/tex]

#39

[tex]\\ \sf\longmapsto n^2[/tex]

[tex]\\ \sf\longmapsto 500^2[/tex]

[tex]\\ \sf\longmapsto 250000[/tex]

Answer:

X=20º

Step-by-step explanation:

This is a vertical angle meaning both sides are congruent to each other.

Meaning: (x+100)º= 6x

Solve:

(x+100)º= 6x

-x              -x

100º=5x

/5 .     /5

x=20º

2(7s + 3) + 2(8s - 4) =

= 14s + 6 + 16s - 8 =

= 14s + 16s + 6 - 8 = 30s - 2 ← the end

Answer:

$56.50

Step-by-step explanation:

950=500+450

[tex]500 \times .05 = 25[/tex]

And

[tex]450 \times .07 = 31.5[/tex]

Add the sum and you get 56.5

Answer:

144$

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

Answer:

y = 1/2

Step-by-step explanation:

Y+3/5 = 1 1/10

Subtract 3/5 from both sides.

y = 1/2

Answer:

0.411522634. dotn ask me how i got it (calculator)

Step-by-step explanation:

Answer:

208

Step-by-step explanation:

First term = a = 4

Common difference = d = a2 - a1 = 9 - 3 = 6

35th term = a + (35 - 1)d

4 + (35 - 1)6

4 + (34)6

4 + 204

208

Answer:

207

Step-by-step explanation:

An=A1+(n-1)×R

A35=3+(35-1)×(9-3)

A35=3+34×6

A35=3+204

A35=207

Answer:1/10

Step-by-step explanation:

This word problem is a simple division. You have a total of 1/2 pan of brownies and you want to split to 5 friends.

Hence, (1/2)/5=1/(2*5)=1/10

The line AB is not a perpendicular bisector of CD.

Perpendicular bisectors are lines that divides another line into two equal parts.

From the diagram, we can see that line CD cuts AB at the centre. Hence we can say that CD is a perpendicular bisector of AB.

The same is not applicable to line AB passing through CD. The line AB did not bisect (divide equally) line CD.

Hence we can conclude that line AB is not a perpendicular bisector of CD.

Learn more here: https://brainly.com/question/17335869

9514 1404 393

Answer:

  15 ft below the top of the water

Step-by-step explanation:

We can let distances "below the top of the water" be represented by negative numbers. Then the initial height of Jesse's hook was -12 ft. Adding line allowed his hook to sink further:

  -12 +(-3) = -15

The depth of Jesse's hook now is 15 feet below the water surface.

Answer:

I know the first one is 6, since there's 6 sides

The second one should be Plane BDHF, since those two are exactly the same

Don't know the third one

The fourth should be segments AC, EG, and FH since they're all the same

Answer:

Ans is D

In the figure, you are given that the radius is 10 inch. So, diameter will be 10*2= 20 inch.

Now,

C=πd

= 3.14*20 inch

=62.8 inch

Answer:

x = 5, -4

Step-by-step explanation:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

Answer:

x = 5, x = -4

Explanation:

Solve with the quadratic formula

[tex]x_{1,2} =\frac{-(-1)+-\sqrt{(-1)^2-4*1*(-20)} }{2*1}[/tex]  =  [tex]x_{1,2} = \frac{-(-1)+-(9)}{2*1}[/tex]

Separate the solutions

[tex]x_1 = \frac{-(-1)+9}{2*1} , x_2 = \frac{-(-1)-9}{2*1}[/tex]

[tex]x_1 = 5\\x_2 = -4[/tex]

a) Kiara ha adquirido una línea de telefonía móvil con internet a un Coste Fijo de 10 soles y un Tasa de Consumo de 1,5 soles por hora consumida.

b) El Coste total por 48 horas de consumo de la línea telefónica con internet es 82 soles.

a) Nota - Puesto que la ecuación que describe el Coste ya existe en el enunciado, entonces se entiende el verbo "Expresa" como "Describa en sus propias palabras".

Como puede apreciarse el Coste de la línea telefónica móvil aumenta linealmente con el Tiempo de consumo por parte del usuario. En consecuencia, la función de Coste queda definida como sigue:

[tex]C(t) = C_{o} + r\cdot t[/tex] (1)

Donde:

Entonces, tenemos que Kiara ha adquirido una línea de telefonía móvil con internet a un Coste Fijo de 10 soles y un Tasa de Consumo de 1,5 soles por hora consumida.

b) Una característica de las Funciones Lineales es que tanto su Dominio como Rango comprenden al Conjunto de todos los Números Reales, al ser de Pendiente constante esta Función.

Por tanto, el Dominio y el Rango de la Función en cuestión es el Conjunto de todos los Números Reales.

c) Si sabemos que [tex]C_{o} = 10[/tex], [tex]r = 1,5[/tex] y [tex]t = 48[/tex], entonces el Coste Total por concepto de 48 horas de consumo es:

[tex]C(48) = 10 + 1,5\cdot (48)[/tex]

[tex]C(48) = 82[/tex]

El Coste total por 48 horas de consumo de la línea telefónica con internet es 82 soles.

Invitamos a ver este problema sobre Costes: https://brainly.com/question/15723794

Answer:

the answer is first option

52.311 is greater than 52.31

Answer:

24

plss mark me brainliesttt

Step-by-step explanation:

6+20-2

26-2

24

16x -4 = 28

Add 4 to both sides:

16x = 32

Divide both sides by 16:

X = 2

Answer:

2

Step-by-step explanation:

16x-4=28

16x=32

x=32/16

=2