Given the definition of f(x)and g (x) below, find the value of (f g)(-1)

Answer:

£50 ; £7.50

Step-by-step explanation:

Given that:

Discount on sale, d = 15%

Amount paid = £42.50

Hence the relation to obtain the amount paid goes thus ;

Amount paid = (1 - d) * original amount

Let original amount = x

42.50 = (1 - 0.15)x

42.50 = 0.85x

x = 42.50 / 0.85

x = £50

Amount saved :

£(50 - 42.50) = £7.50

Answer:

So basically you have to create a set of coordinates like (3,2) to create a linear function. Make sure to make a linear equation and represent it through a graph or table. Then take its coordinates.

An example is the table I attached. It is a linear function.

y = 4x is the linear equation.

(2,8) is the coordinate.

Hope I helped in time!

:)

Answer:

your answer will be (0,25)

Step-by-step explanation:

have a nice day and good luck with your test ^_^

The point that corresponds to the ball's maximum height on the graph is (4, 80).

All the points (and only those points) which lie on the graph of the function satisfy its equation.

Thus, if a point lies on the graph of a function, then it must also satisfy the function.

Cassie hit a golf ball.

The function f models the height of the ball above the ground (in meters) as a function of time (in seconds) after Cassie hit it.

We can see from the graph that the highest point the ball could reach is 80 units.

Therefore, The point that corresponds to the ball's maximum height is (4, 80).

Learn more about points lying on the graph of a function here:

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Answer:

x = 44

y = 22

Step-by-step explanation:

✔️Find x:

Reference angle = 60°

Hypotenuse = x

Opposite side length = 22√3

Applying the trigonometric FUNCTION, SOH, we have:

Sin 60 = opp/hyp

Sin 60 = (22√3)/x

x × Sin 60 = 22√3

x = (22√3)/Sin 60

x = (22√3)/(√3/2) (sin 60 = √3/2)

x = 22√3 × 2/√3

x = (22√3 × 2) / √3

x = (44√3) / √3

x = 44

✔️Find y:

Reference angle = 60°

Hypotenuse = x = 44

Adjacent length = y

Applying CAH, we have:

Cos 60 = adj/hyp

Cos 60 = y/44

44 × Cos 60 = y

44 × ½ = y (cos 60 = ½)

22 = y

y = 22

Answer:

x=44,y=22

Step-by-step explanation:

sin 60=22√3/x

x=22√3/sin60=44

sin30=y/x

y=sin30×44=22

Answer:

Step-by-step explanation:

Answer:

5 unitsquare

Step-by-step explanation:

rectangle

Area: (2-1)*(5-0)=5

Answer:

20 and 90

Step-by-step explanation:

20 + 2(90) = 200

20 + 180 = 200

200 = 200

20 × 2(90)

= 20× 180

= 3,600

Answer:

your answers are

m=2.5003

and

x=2.5009

Step-by-step explanation:

hope this is what you are looking for

have a nice day ^_^

The parameter and the statistic respectively of the given distribution are;

Parameter; μ = 2.5003

Statistic; x-bar = 2.5009

We are told that;

Now, a parameter is defined as any measured quantity of a statistical population that describes an aspect of the population, such as a mean or standard deviation. These parameters are usually those that define the population such as population mean and population standard deviation.

However, the statistic is the number that describes a sample e.g, sample mean and sample standard deviation.

Read more about Parameter and statistic at; https://brainly.com/question/4630765

Answer:

2x, (x-2), (x+6)

Step-by-step explanation:

I just took the quiz on plato and I got it correct

P.S Can you guys give me the brainliest please

The least common denominator for the function  [tex]\frac{11x}{x^{2} +4x-12} -\frac{7}{2x^{2} -4x}[/tex]  is     (x -2).

The least common multiple of a group of fractions' denominators is known as the lowest common denominator, or Least Common Denominator.

Calculation for the least common denominator:

Consider the given expression,

[tex]\frac{11x}{x^{2} +4x-12} -\frac{7}{2x^{2} -4x}[/tex]

Further simplifying the equation by factorisation of the denominator part

= [tex]\frac{11x}{x^{2} +6x-2x-12} -\frac{7}{2x(x -2)}[/tex]

= [tex]\frac{11x}{(x+6)(x-2)} -\frac{7}{2x(x -2)}[/tex]

= [tex]\frac{1}{x-2}[/tex]×[tex][\frac{11x}{(x+6)} -\frac{7}{2x}][/tex]

Therefore, from the above result, it is found that (x-2) is the least common denominator that can be taken.

To know more about factorisation, here

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Answer:

fhted ghtf. hyrdvhurf gjyev vr htrevhuwf ngttgnm

Answer:

32

Step-by-step explanation:

Our total is x.

Maysa took half of the cherries, so there is .5x left.

Nabilla took half of the remaining, so that is .5*0.5x, which is .25x

Abdulla took 3.

Your equation is:

.25x-3=5

.25x=8

x=32

So there are 32 cherries

Answer:

832000

Step-by-step explanation:

2*8000*52

Answer: $1,000.

Step-by-step explanation:

You would add $1,000 for each month you're trying to save. y=1000x

Answer:

The answer is 60°

Step-by-step explanation:

From looking at the problem we know that mZAOB and mZBOC make up angle mZAOC.

We also know that mZAOC is 104°

This means that the two other angles have to make up 104°

To figure out mZBOC,

First, you can subtract 30 and 42 from 104.

We do this because it allows us to focus on the variables.

104-30-42=32

Next, we can look at the variables and the coefficients and see that in order for 7x and 9x to make 32, x has to equal 2.

7(2)+9(2)=32

Now that we know what x equals we can substitute it into the equation for mZBOC.

9x + 42°

9(2) + 42°

60°

Thus, mZBOC equals 60°

Answer:

(a) The initial value is 40

(b) 510 Euros

Step-by-step explanation:

Given

[tex]M = 5x + 40[/tex]

See comment for complete question

Solving (a): The initial charge

A linear function is represented as:

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

Where c is the initial value

By comparison:

[tex]c = 40[/tex]

Hence: The initial value is 40

Solving (b): Amount charged for 94

Substitute 94 for x in [tex]M = 5x + 40[/tex]

[tex]M = 5 * 94 + 40[/tex]

[tex]M = 510[/tex]

510 euros for 94 orders

9514 1404 393

Answer:

  k = 7

  m = 8

Step-by-step explanation:

The diagonals bisect each other, so each half is equal to the opposite half.

  k +4 = 11 . . . . down-sloping diagonal

  k = 7

__

  m = 8 . . . . up-sloping diagonal

Answer:

LR = 13

Step-by-step explanation:

LAR is a right triangle and if two sides are known you can you use the pythagorean theorem to find the missing side

LA = 5

AR = 12

5² + 12² = LR²

LR² = 25 + 144

LR² = 169

LR = √169 = 13

Answer:

[tex]\sqrt[3]{64} = 4[/tex] [tex]\sqrt{64} = 8[/tex]

Step-by-step explanation:

Answer:t=4

Step-by-step explanation: 2(t+1) is 2t +2 so t=4 because 2 times 4 is 8 so 8+2 is 10 10=10

Answer:

D.

Step-by-step explanation:

Answer:

6(6√7/√6)

=6√42

Step-by-step explanation:

Answer: [tex]\sqrt{42}[/tex]

Step-by-step explanation: To simplify this problem, we must get rid of the radical on the square root of 6 in the denominator and to do that, we multiply top and bottom of the fraction by the square root of 6.

Notice that in the numerator, we must distribute

the square root of 6 through the 6√7.

So we get 6√42 / √36.

Since the square root of 42 is already simplified,

we can simply the square root of 36 on the bottom to get 6.

So we have 6√42 / 6.

Now the 6's outside the radical both cancel leaving us with √42.

My work is attached in the image provided.

Answer:

z^11

Step-by-step explanation:

Hopefully that's correct, and is helpful.

Answer:

0.3333

____________

Answer:

length equals to 22 bcoz the width is 13*2=26 and than u do 70 minus 26 to get 44 than divide by 2 to get the length 22