Year 8 maths Finding the rule using a table of values

Year 8 Maths Finding The Rule Using A Table Of Values

Answers

Answer 1

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, a) and (x₂, y₂ ) = (1, b)

m = [tex]\frac{b-a}{1-0}[/tex] = b - a

y = (b - a)x + c

(a)

with coefficient of x being b - a

(b)

The line crosses the y- axis at (0, a ) ⇒ c = a

y = (b - a)x + a


Related Questions

What is the solution to y + 2 = -6?

Answers

y = - 8

I hope this helps!

Step-by-step explanation:

y+2=-6

by subtracting 2 from both sides we get

y+2-2=-6-2y=-8

Simplify by combining like terms: -11 + 2(4x - 1) + 6 (BRAINLIEST)

Answers

Answer:

8x-7

Step-by-step explanation:

-11 + 8x - 2 + 6

8x-7 .........

The denominator of a rational number is greater than its numerator by 7. If the numerator is increased by 6 and the denominator is decreased by 5, the new rational number obtained is 3/2. Find the original rational number.

Answers

Answer:

6/13

Step-by-step explanation:

6    +   6    =    12            3

----                    ----    =    ---

13     -   5    =     8            2

Answer:

Original Rational number is = 6/13

Step-by-step explanation:

Let Numerator be : x

Denominator be : x + 7

Now,

Numerator is increased by 6Denominator is decreased by 5the new rational number obtained is 3/2

Numerator = x + 6

Denominator = ( x + 7) - 5

According to the question,

[tex] \displaystyle \: \sf \dashrightarrow \: \frac{x + 6}{(x + 7) \: - 5} = \: \frac{3}{2} [/tex]

[tex]\displaystyle \: \sf \dashrightarrow \: 2(x + 6) \: = 3 \{ \: (x + 7 ) - 5\} \: [/tex]

[tex]\displaystyle \: \sf \dashrightarrow \: 2x \: + 12 \: = \: 3(x + 2)[/tex]

[tex]\displaystyle \: \sf \dashrightarrow2x + 12 \: = 3x + 6[/tex]

[tex]\displaystyle \: \sf \dashrightarrow \: 2x - 3x \: = \: 6 - 12[/tex]

[tex] \: \: \: \displaystyle \: \sf \dashrightarrow \: - x \: = - 6 \\ \\ \: \: \: \: \: \: \displaystyle \: \bf \dashrightarrow \: x \: = 6[/tex]

Numerator = 6

Denominator = x + 7

= 6 + 7

= 13

Thus ,

[tex]\: \bf { \red{ \underline{\dashrightarrow \: obtained \: rational \: number \: = \: \frac{6}{13} }}}[/tex]

[tex] \pink{\rule{160pt}{5pt}}[/tex]

I need help with #46 ASAP please and thank you. It is due tomorrow

Answers

Answer:

Sides of hexagon = 6

Hexagon

1

1 + 5 = 6

1 + 5 + 9 = 15

1 + 5 + 9 + 13 = 27

1 + 5 + 9 + 13 + 17 = 45

The difference of 7 and the square of a number.

Answers

Answer:

Step-by-step explanation:

I can only show you what the answer is.

7 - x^2.

Be careful which one you put first. Unless told otherwise, the first number mentioned goes before the minus sign.

A quart floor has a side length of 7x^5y^6 units. A square tile has a side length of x^2y units. How many tiles will it take to take to cover the floor?

Answers

About 49 tiles will be needed to cover the floor

A square is a shape having equal sides. The area of a square is expressed as:

A = L²

L is the side length of a square.

If a square tile has a side length of x²y units, the area of the square tile will be:

A = (x²y)²

As = x⁴y² units²

Similarly, if a quart floor has a side length of 7x⁵y⁶ units. The area of the quart floor will be expressed as:

Aq = (7x⁵y⁶)²

Aq = 49x¹⁰y¹²

Divide both areas to get the number of tiles that will cover the floor

Number of tiles = 49x¹⁰y¹²/x⁴y²

Number of tiles = 49x⁶y¹⁰

This shows that about 49 tiles will be needed to cover the floor.

Learn more here: https://brainly.com/question/7511709

help need an answer asap​

Answers

Step-by-step explanation:

1. set of even numbers

3. set of months that start with J

4. set of vowel sounds

5. set of days that start with T

6. set of perfect squares

Hope this helps please like and mark as brainliest

(x+4)
Solve for x:
= 2. (1 point)
3
O x = 2
O
x= 10
3
2
X =
O x= -2

Answers

Answer:

x = 2

Step-by-step explanation:

[tex] \frac{x + 4}{3} = 2[/tex]

[tex]x + 4 = 6[/tex]

[tex]x = 6 - 4 = 2[/tex]

Which of the following graphs is a function?


y = x − 1
x =-1
x = y2 − 1

Answers

66. cufinobus hcugifts gc jxysubj duo giving

Find the values of unknown angle​

Answers

Answer:

6x+3x=180(being coexterior angle)

9x=180

X=180/9

X=20

now putting the value of X

6x=6×20=120

3x=3×20 =60

hope this will help you if then make me brainliest

A regular square-based pyramid has a surface area of 33 m2. If its triangular faces have an area of 6 m2, what is the length of the base of the pyramid?

Answers

Answer:

First we can do 33 time 6

Step-by-step explanation:

The length of the base of the pyramid is 3 meters.

What is a square pyramid?

A pyramid is a polyhedron that has a base and 3 or greater triangular faces that meet at a point above the base. A square pyramid is a pyramid with a square base, four triangular sides, five vertices, and eight edges.

For the given situation,

The surface area of the pyramid = 33 m^2

Area of triangular faces = 6 m^2

Let the base of the pyramid be b and the height be h.

The formula of area of triangle is

[tex]A = \frac{1}{2}(b)(h)[/tex]

⇒ [tex]6 = \frac{1}{2}(b)(h)[/tex]

⇒ [tex]6(2) = (b)(h)[/tex]

⇒ [tex]12 = (b)(h)[/tex]

The formula of surface area of square pyramid is

[tex]SA = b^{2}+2bh[/tex]

⇒ [tex]33=b^{2} +2(12)[/tex]

⇒ [tex]33-24=b^{2}[/tex]

⇒ [tex]b=\sqrt{9}[/tex]

⇒ [tex]b=3[/tex]

Hence we can conclude that the length of the base of the pyramid is 3 meters.

Learn more about square pyramid here

https://brainly.com/question/22645991

#SPJ2

4/9x+1/5x=58
plzhelp

Answers

Answer:

Solution

x = 90

Step-by-step explanation:

Combine multiplied terms into a single fraction

4

9

+

1

5

=

5

8

\frac{4}{9}x+\frac{1}{5} \cdot x=58

94​x+51​⋅x=58

4

9

+

1

5

=

5

8

\frac{4x}{9}+\frac{1}{5} \cdot x=58

94x​+51​⋅x=58

2

Combine multiplied terms into a single fraction

3

Multiply by 1

6 1/42 + 4 5/6= simplest form + show work.
also 13/15 - 1/3 = simplest form show work.

thank you ​

Answers

Answer:

1. 10 6/7      2. 8/15

Step-by-step explanation:

1. 6 1/42 + 4 5/6

First, let's combine the whole numbers.  6 + 4 = 10Now we are left with 1/42 + 5/6.To add or subtract, the dominators need to be the same. We need to find the least common multiple which here is 42.

1/42 + 5/6(7)

1/42 + 35/42

= 36/42

= 6/7

All we have to do is combine both numbers.

10 6/7

2. 13/15 - 1/3(5)

13/15 - 5/15

8/15

Anyone able to answer this?

Answers

Answer:

B) (4,5)

Step-by-step explanation:

Hope this helps.. (again)

Answer:

(4,5)

Step-by-step explanation:

you can count the units, move seven to the right and two up

the sum of 6, 7 times a number y and 7 times the same number y. Simplify

Answers

Answer:

Use the given functions to set up and simplify

y=7n

Step-by-step explanation:

6=

7⋅n=7n

7=7n

y=7n

|k + 8| > 2, solve for k.

Answers

Answer:

k > -6

k < -10

Step-by-step explanation:

|k + 8| > 2

~We know this problem will have two different solutions

k + 8 > 2 and k + 8 < -2

~Solve for k in both

k + 8 > 2

k > -6

~Solution 2

k + 8 < -2

k < -10

Best of Luck~

15. How many tenths are there in?

Answers

Answer:

In what?

Step-by-step explanation:

Answer:

There is only one tenth in 15

Clark used a digital thermometer to check the internal temperature of a roasting turkey. The thermometer read 168 °F, and its reading is accurate within 2.7 °F. Which temperature falls within this range? A 165.8 °F B 165.1 °F C 171.0 °F D 172.7 °F

Answers

Answer:

A and C falls within the range.

Step-by-step explanation:

Have a nice day!

Answer:

A. 165.8°F

Step-by-step explanation:

The range for the thermometer must be from 165.3°F to 170.7°F and the only answer choice that falls between those two numbers is, A 165.8°F.

Help please for 13 coins

Answers

Answer:

-146.03008

Step-by-step explanation:

(-8.149)(17.92) = -146.03008

Answer:

-146.03008

do you have to show work?

Evaluate c - 2 when c = 7.

Answers

Answer:

5

Step-by-step explanation:

if c = 7, then we can replace c by 7. Therefore the original question would be evaluate 7-2, which is equal to 5.

Answer:

5

Step-by-step explanation:

lests substitude 7 or C

 C - 2

= 7 - 2

=5

Cara used the order of operations to evaluate the expression below.




What was Cara’s first error?
Cara did not evaluate 7-13.
Cara did not evaluate (Negative 4) squared.
Cara subtracted 2 from 6 incorrectly.
Cara multiplied 2 and 4 incorrectly.

Answers

28 - 52 / 3 - 16 - 12 + 4

-24 / 3 + 16 - 8

-8 + 16 - 8

-16 + 16

0

Mark me brainlist

Answer:

Cara did not evaluate 7-13.

Step-by-step explanation:

This is the correct answer because I just did the test and got it right please give me the support you think I deserve.

PLEASE PLEASE PLEASE HELP TRANSLATING SENTENCES INTO EQUATIONS

Answers

Answer:

5×(w + 7) = 4

Step-by-step explanation:

w is the unknown number.

5 times something means multiply something 5 times.

a sum means adding things

so, the sum of a number and 7 is

w + 7

5 times that sum is then

5×(w + 7)

and that while thing is (equals) 4

5×(w + 7) = 4

by the way, solving that means

5w + 35 = 4

5w = -31

w = -31/5

Answer:

5(w + 7) = 4

Step-by-step explanation:

Do one part of the sentence at a time until you write the entire sentence as an equation.

"Five times the sum of a number and 7 is 4."

The problem tells us to use w for the number, so we write w below.

w

"Five times the sum of a number and 7 is 4."

Now we move on to the part dealing with the sum of the number and 7. A sum is an addition, so we add 7 to the number w.

w + 7

"Five times the sum of a number and 7 is 4."

Now we take care of the part dealing with product of 5 and the sum.

5(w + 7)

"Five times the sum of a number and 7 is 4."

The last part is dealing with the part "is 4". The word "is" very often means "equals", so the entire expression we wrote is equal to 4.

5(w + 7) = 4

Answer: 5(w + 7) = 4

helppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp

Answers

Answer:

b

Step-by-step explanation:

19 × 9 =171

length × width = area

Answer:

[tex]area \: of \: the \: rectanle \: = 19 \times 9 = 171 \: inches \\ \\ \\ \\ \\ \\ \\ \\ mark \: me \: as \: brainliest[/tex]

19 divide 4257 help me pleaseee

Answers

you can literally get a calculator & use that but the answer is 0.00446323702

What’s the midpoint of points a (6,-4) and b (2,-10) graphically

Answers

Answer:

here is ur midpoint

Step-by-step explanation:

(4, -7)

aye sumone help me right quick

Answers

180-110 divide by 2.

Help me pls it for my homework

Answers

Answer:

16.34 yards of rope

Step-by-step explanation:

you need to do 4.67 x 2 and add 3.5 x 2 to get the total perimeter

Answer:

Step-by-step explanation:

[tex]\frac{7}{2} + \frac{14}{3} +\frac{7}{2} + \frac{14}{3}[/tex]

[tex]\frac{21}{6} + \frac{28}{6} +\frac{21}{6} + \frac{28}{6}[/tex]

[tex]\frac{98}{6}[/tex] = [tex]\frac{49}{3}[/tex] = 16 [tex]\frac{1}{3}[/tex]

Write a simplified expression for the area of the rectangle.
Length: 9.6x+7
Width: 2.5

Answers

Step-by-step explanation:

the area of rectangle = length × width

= (9.6x +7)×(2.5)

= 24x + 17.5

Question:-

Write a simplified expression for the area of the rectangle.

Length: 9.6x+7

Width: 2.5

Solution:-

Given,

Length = 9.6x + 7

Width = 2.5

Now,

> Area of rectangle = Length × Breadth

> = (9.6x + 7) × (2.5)

> = 24 x + 17.5

Answer:-

24x + 17.5

can someone show me how to solve 30-x=22-1/2x, please?

Answers

30-x=22-1/2x is equal to 16? I hope you mean evaluate

Evaluate 2(x + 1) - 3 when x = 6.
O A. 5
OB. 10
O C. 11
O D. 8

Answers

Answer:

C. 11

Step-by-step explanation:

2(x + 1) - 3

(Putting x = 6)

= 2(6 + 1) - 3

= 2 × 7 - 3

= 14 - 3

= 11 (Ans)(

6
Because you multiply the 2 into the () then add the two new numbers and subtract 3
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