Complete the definition of the h(x) so that it is continuous over its domain.

Answer:

Souvenir = £14

Burger = £3.50

Pass = £21

Step-by-step explanation:

Souvenir = £x

Burger = [tex]\frac{1}{4}x[/tex]

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

[tex]\frac{1}{4}x + \frac{3}{2}x +x = 40 - 1.5[/tex]

[tex]\frac{1}{4}x+\frac{6}{4}x+x= 38.5[/tex]

[tex]\frac{11}{4}x = 38.5[/tex]

[tex]11x = 154[/tex]

[tex]x = 14[/tex]

Answer:

See Down Here

Step-by-step explanation:

We want to get g(x) given that we know f(x) and the graphs for both functions. We will see that the correct option is D:

g(x) = (x/3)^2

By looking at the graph we can see that f(x) and g(x) are two quadratic functions, and g(x) is just a dilation of f(x).

This means that:

g(x) = A*f(x)

Where A is a real number.

We know that:

f(x) = x^2

And by looking at the graph, we also know that g(3) = 1.

Then we can write:

g(3) = A*f(3) = A*3^2 = 1

Now we can solve this for A:

A*3^2 = 1

A*9 = 1

A = 1/9

Then we have:

g(x) = (1/9)*f(x) = (1/9)*x^2 = (x/3)^2

So the correct option is D.

If you want to learn more about quadratic equations, you can read:

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Answer:

55

Step-by-step explanation:

In solving area for parralelegrams, you have to ingore the height, 40*15=55.

Answer:

[tex]x=-6; y=4[/tex]

Step-by-step explanation:

Step 0: retwite the second equation by dividing LHS and RHS by 3.

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

Step 1: combine them as the first minus twice the second to eliminate y

[tex]I - 2\times II : 5x+4y -2x-4y=-14-4 \rightarrow 3x=-18 \rightarrow x= -6[/tex]

Step 2a: At this point I would replace the value of x in the second equation to easily solve for y.  That will give you [tex]-6+2y=2 \rightarrow y=4[/tex]. I do imagine you're required to use the same method to solve for y even if it's slower so...

Step 2b: Combine them again, taking the first minus 5 times the second to eliminate x:

[tex]I-5II: 5x+4y-5x-10y=-14-10 \rightarrow -6y=-24 \rightarrow y=4[/tex]

Answer:

n + 50 = 90; n = 40

Step-by-step explanation:

the angle is a right angle so it adds up to 50

one side is 50

so

n + 50 = 90

subtract 50 to both sides

n = 40

Answer:

5/12

Step-by-step explanation:

1/4 × 60 = 15

He gave 15 cakes to Helen.

He gave 20 cakes to Sue.

20 + 15 = 35

He gave away a total of 35 cakes.

60 - 35 = 25

He has 25 cakes left.

fraction = 25/60 = 5/12

The sampling technique used is Simple Random Sampling option fourth would be the best choice.

Simple random sampling is a sampling strategy in which every item in the population has an equal probability of being chosen for the sample.

Simple random sampling selects a sample of objects at random from a population, with each item having an equal chance of being chosen.

Simple random sampling selects items for its sample from a table of random numbers or an electronic random number generator.

Thus, the sampling technique used is Simple Random Sampling option fourth would be the best choice.

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Answer:

Step-by-step explanation:

Let X be par.

Jenny made x-1 strokes

Jérôme made x+4 strokes.

So, we can use the amount of strokes made, but we have to use absolute value brackets ( | | )

|-1| + |4| = 5.

Jérôme made 5 more strokes than Jenny

The single transformation that maps a onto triangle b is a rotation of 180 degrees across the common vertex of triangles a and b

From the figure, we have the following highlights

The above highlights mean that the single transformation that maps a onto triangle b is a rotation of 180 degrees across the common vertex of triangles a and b

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Answer: What is the easiest way to find the volume of a sphere?

Image result for How to find volume of sphere explain step by step

To calculate the volume of a sphere, use the formula v = ⁴⁄₃πr³, where r is the radius of the sphere. If you don't have the radius, you can find it by dividing the diameter by 2. Once you have the radius, plug it into the formula and solve to find the volume.

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

The median is the middle number when they're in ascending or descending order.

In ascending order the numbers are;

5,7,8,9,13,13,15,20

There are two middle numbers, 9 and 13. The median is half-way between the two, which is 11

The factor of the given quadratic polynomial 9x² - 12x + 4 is (3x - 2) and (3x - 2).

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

The quadratic polynomial is given below.

9x² - 12x + 4

Then by the factorization, we have

9x² - 6x - 6x + 4

3x(3x - 2) - 2(3x - 2)

(3x - 2)(3x - 2)

(3x - 2)²

More about the factorization link is given below.

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Answer:

10.

=  65.144065264838 units^3

11.

The half-circle is parallel to the other circle so you can find the volume of the circle by itself. Subtract 4 from 3.6 and you should be able to find the heigh of the shape between the half circles. Multiply the Circular Slab of 3.6 by 0.4. Which gives you 1.44. (Do not take this as an answer, i tried but i dont think this was a great explanation)

Step-by-step explanation:

Answer:

Y= -21

Step-by-step explanation:

1 1/3

hope it helps...!!

Answer:

44 degrees

Step-by-step explanation:

angle c = 90 degrees

angle a = 46 degrees

the measure of all sides on a triangle is 180

so to solve for the other side we can do this equation...

180 - (90 + 46) = 44

hope this helped, mark as brainliest pls

The histogram depicts that the number shipments that had more than 20 light bulbs broken is D. 12.

A histogram simply means a graphical representation that is used to organize a group of data points into ranges.

From the complete question, the histogram shows that the number shipments that had more than 20 light bulbs broken is 12. This can be interpreted based on the ranges shown in the histogram.

Learn more about histogram on:

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Angle one and two lie on straight line.

this means there sum is equal to 180°

Given :-

so we can say :-

[tex] \angle1 + \angle2 = 180 \degree \\ 7x + x + 12 = 180 \\ 8x + 12 = 180 \\ 8x = 180 - 12 \\ 8x = 168 \\ x = \frac{ \cancel{168} {}^{ \: \: 21} }{ \cancel8} \\ x = 21 \degree[/tex]

so angle one = 7x= 7×21 = 147°

angle two = x+12 = 21+12 = 33°

Answer:

4.51352cm

Step-by-step explanation:

Answer:

[tex]0[/tex] (no change)

Step-by-step explanation:

Recall that the average rate of change of a function [tex]f(x)[/tex] over the interval [tex][a,b][/tex] is equal to [tex]\frac{f(b)-f(a)}{b-a}[/tex]:

[tex]\frac{h(b)-h(a)}{b-a}\\ \\\frac{h(6)-h(1)}{6-1}\\\\\frac{0-0}{5}\\ \\0[/tex]

Hence, the average rate of change of the function [tex]h(x)[/tex] over the interval [tex][1,6][/tex] is [tex]0[/tex], or no change.

Answer:

c. x < 4

Step-by-step explanation:

-5x < -15x + 40

bring -15x to the left to combine like terms

-5x +15x < -15x + 15x + 40

10x < 40

divided both sides by 10 to get x alone

10x / 10 < 40 / 10

x < 4

Hey there!

2(6 * 4) + 2(6 * 2.4n) + 2(4 * 2.4n) 

= 2(24) + 2(14.4n) + 2(9.6n)

= 48 + 28.8n + 19.2n

= 48 + 48n

= 48n + 48

Thus, your answer should be: 48n

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

The estimation of the fractions to the nearest whole number is [tex]5\frac{13}{40}[/tex]

The fractions are in mixed fractions. Let's convert it to improper fraction and do the arithmetic.

Therefore,

[tex]8\frac{1}{5} - 2\frac{7}{8}[/tex]

[tex]8\frac{1}{5}=\frac{41}{5}[/tex]

[tex]2\frac{7}{8} =\frac{23}{8}[/tex]

Therefore,

[tex]\frac{41}{5} -\frac{23}{8} = \frac{328-115}{40} =\frac{213}{40}[/tex]

Hence,

[tex]\frac{213}{40} =5\frac{13}{40}[/tex]

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Answer:

h = 28.5 ft

Step-by-step explanation:

the 2 situations are similar, that is the triangles formed in both cases are similar.

then the ratios of corresponding sides are in proportion

let h be the height of the house , then

[tex]\frac{4.7}{h}[/tex] = [tex]\frac{9.4}{57}[/tex] ( cross- multiply )

9.4h = 4.7 × 57 = 267.9 ( divide both sides by 9.4 )

h = 28.5 ft

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Explanation:

Let B represent the unmarked angle on the left between angle A and the 145 degree angle.

Angle B and the 145 degree angle form a straight line of 180 degrees

B+145 = 180

B = 180-145

B = 35

Then use the fact that angles A and B form a 90 degree angle

A+B = 90

A+35 = 90

A = 90-35

A = 55