In 1977 the average family earned £3300 a year and spent 18% of their earnings on a summer holiday. How much did the average family spend on their summer holiday?

Plug in [tex]k-1[/tex] to each [tex]x[/tex] in the function.

[tex]f(k-1)=5(k-1)^2+4(k-1)-5[/tex]

[tex]f(k-1)=5(k^2-2k+1)+4k-4-5[/tex]

[tex]f(k-1)=5k^2-10k+5+4k-4-5[/tex]

[tex]f(k-1)=5k^2-6k-4[/tex]

Hope this helps.

頑張って!

f(k-1) = 5k² - 4k - 4

The given function is:

f(x) = 5x² + 4x - 5

To find f(k-1), substitute x = k-1 into f(x)

f(k-1) = 5(k-1)² + 4(k-1) - 5

f(k-1) = 5(k² - 2k + 1) + 4k - 4 - 5

f(k -1) = 5k² - 10k + 5 + 4k -9²

Collect like terms

f(k-1) = 5k² - 10k + 5k + 5 - 9

Simplify

f(k-1) = 5k² - 4k - 4

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Answer:

x = 2

y = 3

Step-by-step explanation:

x = 3y - 4

5x + 2y = 31 in the second equation replace x with 3y - 4

5 (3y - 4 ) + 2y = 31 multiply 5 with inside the parenthesis

15y - 20 + 2y = 31 add like terms

17y = 51

y = 3

Now, since we found the value of y we can use it to calculate x

x = 3y - 4

x = 3×3 - 4

x = 2

Answer:

45

Step-by-step explanation:

negative times negative equals positive

Answer:

root (0,0)

domain x= all reall numbers

range y= all real numbers

Vertical intercept (0,0)

Answer:

Step-by-step explanation:

Part a:

a. Slope for line 1: (0 + 1)/(8 - 4) = 1/4

b. Slope for line 2: (-6 - 2)/(2 - 0) = -8/2 = -4

c. Slope for line 3: (-6 + 7)/(-3 - 6) = -1/9

Part b:

Line 1 and Line 2: perpendicular

Line 1 and Line 3: neither

Line 2 and Line 3: neither

Answer:

5.6568 units

Step-by-step explanation:

Given the following points :

(8, - 3) and (4, - 7).

Find the distance between them.

(8, - 3) : x1 = 8, y1 = - 3

(4, - 7): x2 = 4, y2 = - 7

Distance (d) = √[(x2 - x1)² + (y2 - y1)²]

d = √[(4 - 8)² + (-7 - (-3))²]

d = √[(-4)² + (-7 +3)²]

d = √[16 + (-4)²]

d = √16 + 16

d = √32

d = 5.6568

d = 5.66 units

Answer: 5x+3

Step-by-step explanation: 3 more refers to addition so you are aware that 3 is the number that is being added in the equation, and 5 times refers to multiplication so you know 5 is being multiplied in the equation, which means the algebraic expression would be: 5x+3.

P = 3AC + BC

AB = 2AC

P = AB + AC + BC

replace AB

P = 2AC + AC + BC

P = 3AC + BC

Answer:

3.7

Step-by-step explanation:

3.14 + 0.62 = ___.

Step 1

Round each decimal to the nearest tenth

3.14 to the nearest tenth = 3.1

0.62 to the nearest tenth = 0.6

Step 2

Solve the addition equation

= 3.1 + 0.6

= 3.7

Answer:

3.7

Step-by-step explanation:

3.14 + 0.62 = ___...........

Step 1

Round each decimal to the nearest tenth

3.14 to the nearest tenth = 3.1

0.62 to the nearest tenth = 0.6

Answer:

0.4561

Step-by-step explanation:

If a loading dock manager is unpacking a delivery truck that has 57 boxes of shoes and 26 boxes of socks, the ratio  of boxes of socks to boxes of shoes will be expressed as amount of boxes of socks : amount of boxes of shoes.

amount of boxes of socks : amount of boxes of shoes = 26:57

26:57 = 26/57

26/57 ≈ 0.4561

Hence the ratio of boxes of socks to boxes of shoes is approximately 0.4561

Answer:

A)2A/h-b2

Step-by-step explanation:

A=h(b1+b2)/2

2A=b1h+b2h

2A-b2h=b1h

b1=2A-b2h/h

b1=2A/h-b2h/h

b1=2A/h-b2

Hope it is helpful for you

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Answer:

Yes it is ✔️✔️✔️

Axiom for multiplication

hope this helps uh

The domain is all the x values in the relation.

The range is all the y values in the relation.

Note that if you have more then one of a number, you only put one.

Domain: 7, 4, 0

Range: -6, 4, 1, 6

Best of Luck!

Answer:

A. {(–4, 3), (–2, 7), (–1, 0), (4, –3), (11, –7)}

Step-by-step explanation:

I just did the quiz but basically you can switch the coordinates around to view the coordinates of the inverse function. If there are x values that are the same number, it does not pass the line test making it not a function with an inverse function.

The function has an inverse that is also a function will be {(–4, 3), (–2, 7), (–1, 0), (4, –3), (11, –7)} so correct option will be (A).

A certain kind of relationship called a function binds inputs to essentially one output.

The machine may only produce one output for each input and will only accept inputs that are specifically listed as part of the function's domain.

In other words, the function is a relationship between variables and the nature of the relationship.

In the given question

We know that a function is only a function such that there is a unique value of y corresponding to x.

An inverse function will only be a function if the function which is going to be inverse is a function.

In option (A) all value of x corresponding to y are different but in  all remaining options the values are repeating hence that will be not a function since only (A) has to inverse

For more about the function

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Answer:

B

Step-by-step explanation:

You just do 113,000 - 71,500= 41,500

Answer:

(9, 10)

Step-by-step explanation:

We are told that the coordinates of Mary's departure location is (1,4)

Now, we are told that She stopped at the midpoint of the journey located at Panama with a coordinate of (5, 7).

Now, we want to find the coordinates of her final destination.

Let the coordinates of her final destination be (x, y)

Since midpoint is at (5,7) and the initial point is at (1,4), then to get x;

(x + 1)/2 = 5

x + 1 = 5 × 2

x + 1 = 10

x = 10 - 1

x = 9

Similarly, to get y;

(y + 4)/2 = 7

y + 4 = 14

y = 14 - 4

y = 10

Thus, the coordinates of her final destination is; (9, 10)

[tex]\frac{x}{-4} < 16[/tex]

16 yı karşıya at;

x/-4-16<0

(-x-64)/4<0

-x-64<0

-64<x

x>-64

Answer:

x > −64

I hope this helps!

Answer:

h=18/7

Step-by-step explanation:

2/21=h/27

21 h=54

h=54/21 common factor 3

h=18/7

Answer:

the answer is x=7 and x=-7

Step-by-step explanation:

Answer:

-8x + 16

Step-by-step explanation:

This is called expanding brackets in algebra

1. you need to multiply the numeral on outside of the brackets with each of thosse on the inside      

-4 x 2x = 8x

-4 x -4 = 16

Answer:

The correct option is 1

Step-by-step explanation:

Given the number . we have to identify the number is rational or irrational

As we know  is irrational

i.e

The above number is irrational as it is non repeating and non-termination number after decimal.

As the sum of a rational and an irrational must be irrational

∴  is irrational which gives the sum 3.31227766....

hence, the correct option is 1)

Answer:

answer is 45

Step-by-step explanation:

Answer:

y = - [tex]\frac{63}{4}[/tex] or - 15.75

Step-by-step explanation:

Order of operations.

y + [tex]\frac{9}{2}[/tex] = y - [tex]\frac{3}{4}[/tex] - [tex]\frac{y}{3}[/tex] Subtract y from each side.

y - y + [tex]\frac{9}{2}[/tex] = y - y - [tex]\frac{3}{4}[/tex] - [tex]\frac{y}{3}[/tex]

[tex]\frac{9}{2}[/tex] =  - [tex]\frac{3}{4}[/tex] - [tex]\frac{y}{3}[/tex]   Add [tex]\frac{3}{4}[/tex] to each side

[tex]\frac{9}{2}[/tex] + [tex]\frac{3}{4}[/tex] = - [tex]\frac{3}{4}[/tex] + [tex]\frac{3}{4}[/tex] - [tex]\frac{y}{3}[/tex]

[tex]\frac{9}{2}[/tex] + [tex]\frac{3}{4}[/tex] = - [tex]\frac{y}{3}[/tex]    Find the common denominator for [tex]\frac{9}{2}[/tex] and [tex]\frac{3}{4}[/tex], which is 4

[tex]\frac{9}{2}[/tex] * [tex]\frac{2}{2}[/tex] + [tex]\frac{3}{4}[/tex] = - [tex]\frac{y}{3}[/tex]

[tex]\frac{18}{4}[/tex] + [tex]\frac{3}{4}[/tex] = - [tex]\frac{y}{3}[/tex]

[tex]\frac{21}{4}[/tex] = - [tex]\frac{y}{3}[/tex]   Multiply each side by 3

[tex]\frac{21}{4}[/tex]  * 3 = - [tex]\frac{y}{3}[/tex] * 3

[tex]\frac{63}{4}[/tex] = - y      Divide each side by -1

y = - [tex]\frac{63}{4}[/tex] = - 15 [tex]\frac{3}{4}[/tex]

y = - 15.75

Step-by-step explanation:

There are 2 scenarios below. One without parenthesis and the second with. I believe the second one is your question.

===============

Answer:

5 2/5

Step-by-step explanation:

(2 1/4) / x = (1 1/2) / (3 3/5)

so

x = (2 1/4) * (3 3/5) / (1 1/2)

9x10^7

10x10=100x10=1,000

1,000x10=10,000

10,000x10=100,000

100,000x10=1,000,000

1,000,000x10=10,000,000

10,000,000x9=90,000,000

3x10^3

10x10=100x10=1,000

1,000x3=3,000

90,000,000/3,000=30,000

So 9x10^7 is 30,000x larger than 3x10^3

hope it helps!

9x [tex]10^7[/tex] is 30,000 times larger than 3 x 10³.

The number of times a number has been multiplied by itself is referred to as an exponent.

The way of representing huge numbers in terms of powers is known as an exponent. Exponent, then, is the number of times a number has been multiplied by itself.

Given:

9x [tex]10^7[/tex]

The number [tex]10^7[/tex] can be expanded as

[tex]10^7\\[/tex] = 10,000,000

and, 9x [tex]10^7[/tex] = 9 x 10,000,000

                   = 90,000,000

The number [tex]10^3[/tex] can be expanded as

[tex]10^3[/tex] = 1000

and, 3 x 10³ = 3 x 1000

                   = 3000

Then, 90,000,000/3,000

      =30,000

Hence, 9x [tex]10^7[/tex] is 30,000 times larger than 3 x 10³.

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Answer:

4x

Step-by-step explanation:

P = S + S + S

P = x + x + 3 + 2x - 3

P = 4x