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3 years ago

Please help me answer this question. First to answer will be marked braineist. NO WORK NESSACARY. Thank you ☺️

Mathematics

1 answer:

m_a_m_a [10]3 years ago

7 0

Lets check the first point (0,6)

3*0+4=4 no good

0+6 =6 good

0^2+6 =6 good

6 * (7/6) ^0 =6 good

Lets check the second point (1,7)

3*1+4= we don't care since it didn't work for (0,6)

1+6 =7

1^2+6 =7

6 * (7/6) ^1 =7

Lets check the third point (2,10)

3x+4= we still don't care

2+6 = 8 no good

2^2+6 =10 good

6 * (7/6) ^2 =6 * 49/36 =49/6 no good

f(x) = x^2 +6

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3 years ago

Given that AB parallels QR, AB bisects AE, QR bisects QT

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3 years ago

5 times a number increased by 18 is the same as 36 more than times 4 times the number. Find the number

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Answer:

Step-by-step explanation:

Let's assume that that question is meant to read:

________________________________________________

" 5 times a number increased by 18 is the same as 36 more than 4 times the number. Find the number ".

_______________________________________________

Let the variable "x" (i.e. the lower-case letter ex]—represent the unknown number—for which we are asked to solve.

If the question/problem is meant to read:

_________________________________

" 5 times a number increased by 18 is the same as 36 more than 4 times the number. Find the number ".

_________________________________

Then, treat the problem as:

_________________________________

" 5 times [a number increased by 18] " ; {is the same as}: " 36 more than [4 times the number]". Find the number ".

_________________________________

Note that: " {is the same as:}" ; means: "equals:} ;

So: "...[a number; that is, an unknown number; that is, "x" ; increased by "18" ]" ; would be represented by: "[x + 18]" .

5 times that value would be represented as:

→ 5* (x + 18) ; or: " 5(x + 18) " .

Then we add the: " = " ["equals"] sign:

_________________________________

Then, we consider: "... 36 more than [4 times the number]" .

4 times the [unknown number]: would be written as:

→ " 4 * x " ; or simply: " 4x " .

→ "36 more than this [the above value; i.e. "4x" ; would be represented by adding "36" to said value; as follows:

→ " 4x + 36 " ;

_________________________________________

Now we can:

1) Write our expression as an equation; and then:

2) Solve for the value for "x" ; our unknown number.

___________________________________________

Here is the expression, as an equation:

________________________________________

→ 5(x + 18) = 4x + 36 ;

Now, solve for "x" ;

_________________________________________

Start with the "left-hand side" of the equation:

→ 5(x + 18) ;

Let us expand this expression.

___________________________________

Note the "distributive property" of multiplication:

→ a(b+c) = ab + ac .

___________________________________

As such: " 5(x + 18) = (5 * x) + (5 * 18) " = 5x +120 .

Now, rewrite the equation:

→ 5x + 120 = 4x + 36 ;

Let us subtract "36" from each side of the equation; & subtract "4x" from each side of the equation:

→ 5x + 120 = 4x + 36 ;

- 4x - 36 = - 4x - 36

________________________

to get: 1x + 54 = 10 ;

________________________________________

Rewrite as: " x + 54 = 10 " ;

→ {Since: "1x = x " ;

→ {since: (" 1 * [any numerical value] = that same numerical value"};

Note that this refers to the "identity property of multiplication."

___________________________________________

→

_________________________________________

→ We have: " x + 54 = 10 " ; Solve for "x" ;

Subtract "54" from Each Side of the equation;

to isolate "x" on one side of the equation; & to solve for "x" ;

→ " x + 54 - 54 = 10 - 54 " ;

to get: " x = -44 " .

_______________________________

Answer: The number is " - 44 " .

_______________________________

Let us substitute this value into our equation; to check our work:

→ 5(x + 18) = 4x + 36 ;

→ 5(-44 + 18) ≟ 4(-44) + 35 ?? ;

→ 5(-26) ≟ -176 + 35 ?? ;

→ -130 ≟ -176 + 35

3 0

3 years ago