16x + 27
14x – 45
25x

Answer:

f(x) = - 3x + 4

Step-by-step explanation:

letting y = f(x) , rearrange making y the subject

Given

9x + 3y = 12 ( subtract 9x from both sides )

3y = - 9x + 12 ( divide all terms by 3 )

y = - 3x + 4, thus

f(x) = - 3x + 4 ← in functional notation

Answer:

a = 1, b = 4

Step-by-step explanation:

You have worked out part (a) correctly, that is

0.7575... = [tex]\frac{75}{99}[/tex] = [tex]\frac{25}{33}[/tex]

(b)

[tex]\frac{a}{11}[/tex] + [tex]\frac{b}{6}[/tex] = [tex]\frac{25}{33}[/tex]

[tex]\frac{6a+11b}{66}[/tex] = [tex]\frac{25}{33}[/tex]  

Multiply numerator/ denominator of [tex]\frac{25}{33}[/tex] by 2, thus

[tex]\frac{25(2)}{33(2)}[/tex] = [tex]\frac{50}{66}[/tex] , then

[tex]\frac{6a+11b}{66}[/tex] = [tex]\frac{50}{66}[/tex] , thus

6a + 11b = 50

Choose a = 1 ( a positive integer ), then

6(1) + 11b = 50

6 + 11b = 50 ( subtract 6 from both sides )

11b = 44 ( divide both sides by 11 )

b = 4

a = 1, b = 4, so

[tex]\frac{1}{11}[/tex] + [tex]\frac{4}{6}[/tex] = [tex]\frac{25}{33\\}[/tex]

Answer:

No solution.

Step-by-step explanation:

[tex]2(4m + 1) = 4(3 + 2m)\\[/tex]

Expand:

[tex]2\times4m+2\times1=4\times3+4\times2m[/tex]

[tex]8m+2=12+8m[/tex]

Subtract 2 from both sides:

[tex]8m+2-2=12+8m-2[/tex]

[tex]8m=8m+10[/tex]

Subtract 8m from both sides:

[tex]8m-8m=8m+10-8m[/tex]

[tex]0=10[/tex]

Since both sides are not equal, there is no solution, because the value of m will not affect this end result of [tex]0=10[/tex] which is false.

Answer:

any or all real number, meaning anything works, the equations are equal!

Step-by-step explanation:

2(4m + 1) = 4(3 + 2m)

8m+2=12+8m

8m=10+8m

0=10

this means that m can be any real number

hope this helped!

There are two terms x^2 is one and 121 is the other one.

The answer is 2 terms.

Answer:

k=3/12

k=.25

Step-by-step explanation:

we need to get k by itself

because 12 is over k we need to get rid of it by moving it to the other side (multiplying) because it is 12/k we need to multiply it by 1/12

This eliminates 12 and leaves us with k=3/12

Answer:

x=-10

Step-by-step explanation:

3=-(4x+7)+3x

move all terms to the left:

3-(-(4x+7)+3x)=0

calculate terms in parentheses: -(-(4x+7)+3x), so:

-(4x+7)+3x

add all the numbers together, and all the variables

3x-(4x+7)

get rid of parentheses

3x-4x-7

add all the numbers together, and all the variables

-1x-7

Back to the equation:

-(-1x-7)

get rid of parentheses

1x+7+3=0

add all the numbers together, and all the variables

x+10=0

move all terms containing x to the left, all other terms to the right

x=-10

Answer:

10

Step-by-step explanation:

This is the answer because:

1) First, insert all the numbers into the expression

Expression: I -2(2) + -3(2) I

2) Next, do -2 x 2 and -3 x 2

-2 x 2 = -4

-3 x 2 = -6

3) Then, do -4 + -6

-4 + -6 = -10

4) Finally, the absolute value of -10 is 10

Therefore the answer is 10

Hope this helps!

Answer:

The length needed to cut off is 12.55 cm

Step-by-step explanation:

The corrected question is:

you need a piece of paper to measure 64.25 cm. If you tape two together that each measure 38.4 cm, how much do you need to cut off?

Solution:

measurement/length of each paper piece = 38.4 cm

measurement/ length required = 64.25 cm

If length of one paper piece is 38.4 cm then if we tape 2 pieces together then the measurement or length is calculated as:

38.4 + 38.4 = 76.8 cm

So to calculate how much we need to cut off:

length required to cutoff = total length of two pieces - length  required

                                         = 76.8 - 64.25

                                         = 12.55 cm

So the length required to cut off is 12.55 cm

Answer:

13, 39

Step-by-step explanation:

H +J =52

H =3J

3J +J =52

4J =52

J =52 :4 =13 (Jane is 13

H =3 ×13 =39 (Harvey is 39

Answer:

Jane is 13 and Harvey is 39

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

Not sure but

I am assuming we have 8 integers :

All or (A) = {7,8,9,10,11,12,13,14} = n(A) = 8

Hence, the probability of any one outcome is 1/8.

Therefore, as you can detect, there are 4 numbers that are even numbers which means :

Even or (E) = {8, 10, 12, 14} = n(E) = 4

So, let E imply this occurrence

E x A

= 4 x 1/8

= 4/8

= 1/2

Probability of getting an even number from7 to 14 is equals to ( 1/ 2).

" Probability is defined as the mathematical calculation to represents the ratio of number of favourable outcomes to the total number of outcomes."

Formula used

[tex]Probability = \frac{Number of favourable outcome }{Total number of outcomes}[/tex]

According to the question,

Given,

  Total number from 7 to 14 = { 7, 8, 9, 10, 11, 12, 13, 14}

⇒Total number of outcomes = 8

Possible outcomes of even number ={ 8, 10, 12, 14}

⇒ Number of favourable outcomes = 4

Substitute the value in the formula we get,

Probability = ( 4 / 8)

                  = ( 1 / 2) ( fraction in simplest form)

Hence, probability of getting an even number from7 to 14 is equals to ( 1/ 2).

Learn more about probability here

https://brainly.com/question/11234923

#SPJ2

Answer:

Angle A and B: tan^-1 (1/1) = 45°

Angle C: 90°

Side C:

[tex] \sqrt{ {1}^{2} + {1}^{2} } = \sqrt{2} [/tex]

PLEASE MARK AS BRAINLIEST

Answer:

The answer is

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

[tex]M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )[/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(2,-4) and (6,2)

The midpoint is

[tex]M = ( \frac{2 + 6}{ 2} , \: \frac{ - 4 + 2}{2} ) \\ = ( \frac{8}{2} \: , \: - \frac{2}{2} )[/tex]

We have the final answer as

Hope this helps you

Answer:

The mid point must be (4,-1)

Step-by-step explanation:

mid point= [(X1+X2)/2 , (Y1+Y2)/2]

= [ (2+6)/2 , (-4+2)/2]

= [ 8/4 , -2/2]

= (4, -1)

the answer to the question is 2r-10

Answer:

"10 than 2 times a number" can also be written as 2r-10.

Answer:

the approximate value of the square root of 8 is 2.828

Answer:

3000000

Step-by-step explanation:

Divide 6/100 and 2/100000000 to find how many times as large

The answer is 3000000

-18 + x = -11

Let's add 18 to both sides

x = 7

Answer:

7

Step-by-step explanation:

Step 1:

- 18 + x = - 11

Step 2:

x = - 11 + 18

Answer:

x = 7

Hope This Helps :)

Answer and Step-by-step explanation:

What does ^2 mean? Well, first let's find out what ^ means, this is "squaring". So, ^2 means two is squared by another number. Such as 6^2. Six is squared by two.

Hope you found this helpful! Have a wonderful day!

The answer is 300 because 2 times 15 is 30 than you just add the zero

Answer:

$300

Step-by-step explanation:

i think you multiply 150 by 2 to get 300

Answer:

A

Step-by-step explanation:

because it is is parenthesis

Answer: p-q

Step-by-step explanation:

Answer: P-Q is correct

Step-by-step explanation:

Answer:

y = -4x +10

Slope = -4

Step-by-step explanation:

[tex]8x + 2y = 20[/tex]

Slope intercept form =

[tex]y = mx + b[/tex]

[tex]2y = - 8x + 20[/tex]

Divide both sides of the equation by 2

[tex] \frac{2y}{2} = \frac{ - 8x}{2} + \frac{20}{2} [/tex]

Simplify

[tex]y = - 4x + 10[/tex]

In y= mx+b , m is the slope and the coefficient of x

[tex]m = - 4[/tex]

Answer:

42 cm^2

Step-by-step explanation:

Base = 21 cm

Height = 4 cm

Area = [tex]\frac{base\times height}{2}[/tex]

Substitute values into the given equation

[tex]A = \frac{21\times 4}{2} \\\\A = \frac{84}{2} \\\\A = 42cm^2[/tex]

Answer:

PT= 130

Step-by-step explanation:

Since T is the midpoint of segment PQ,

PT = TQ

7x - 24 = 6x-2

Subtract 6x both sides and add 24 both sides

7x -6x - 24 = 6x -6x -2

x - 24 + 24 = -2 + 24

x= 22

Substitue x into PT

7(22) - 24

154 - 24

PT= 130

Answer:

[tex]\frac{318}{100}[/tex]

Step-by-step explanation:

A rational number can be expressed as

[tex]\frac{a}{b}[/tex] ← where a and b are integers

The 8 in 3.18 is in the hundredths position, thus

3.18 = [tex]\frac{318}{100}[/tex] ← as a rational number

Answer:

$27

Step-by-step explanation:

10% of 30 = 3, so if we take 3 or 10% away from 30, you will get 27.

Answer:

27$

Step-by-step explanation:

0% of 30 = 3, so if we take 3 or 10% away from 30, you will get 27.

Answer:

a) 6x³ − 5x² − 39x + 35

b) no

Step-by-step explanation:

(2x − 5) (3x² + 5x − 7)

Distribute:

3x² (2x − 5) + 5x (2x − 5) − 7 (2x − 5)

Distribute again:

6x³ − 15x² + 10x² − 25x − 14x + 35

Combine like terms:

6x³ − 5x² − 39x + 35

5x − 2 is the opposite of 2x − 5, so you would get the negative of the answer from part (a).

Step-by-step explanation:

Q3

(a) If 0 < |x − 1| < δ, then |f(x) − 2| < 2

What this means is, how far can x stray from the x=1 line such that f(x) stays within 2 units of the y=2 line (0 < f(x) < 4).

If we move 2 units left of x=1, we get f(x) = 4.

If we move about 3.5 units right of x=1, we get f(x) = 4.

Therefore, δ can't be more than 2.

(b) If 0 < |x| < δ, then |f(x) − 3| < 1

What this means is, how far can x stray from the x=0 line such that f(x) stays within 1 unit of the y=3 line (2 < f(x) < 4).

If we move 1 unit left of x=0, we get f(x) = 4.

If we move 1 unts right of x=0, we get f(x) = 2.

Therefore, δ can't be more than 1.

Since f(x) isn't continuous within this domain, we can't conclude that the limit exists.

Q4

(a) Yes.  If δ = 0.25, then 0.75 < x < 1.25, and f(x) > 200.

(b) No.  f(1) = 300, so even if δ = 0, f(x) will be less than 400.

(c) Yes.  If δ ≈ 0.1, then 0.9 < x < 1, and f(x) > 450.