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Lemur [1.5K]
4 years ago
11

Answers?? With work please

Mathematics
1 answer:
Naya [18.7K]4 years ago
7 0
1.)-2
2)-2
3.)-3
4.)-1
5)1
6.)-6
7.)-6
8.)4
9.)0
10.)no solution
11.)-3
12.)all real numbers
13.)-1
14.)5
On working on the work for the first problem so u understand
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The cost for each car entering President George Bush Turnpike at Beltline road is $0.75. The equation that represents this relat
vesna_86 [32]

From the definition of a function, a function associates every element of the domain to a unique element in the codomain.

In other words, if two elements are equal in the domain, then their images should also be equal.

Since, x represents the number of cars, we consider the universal set as N, the set of all natural numbers.

Let x, y ∈ N and x = y

Then, 0.75x = 0.75y

⇒ f(x) = f(y)

Therefore, images are equal, whenever elements are equal.

Hence, the function f(x) = 0.75x is a function. Also, note that the domain of the function is the set of all natural numbers and the range is the set of real numbers.


8 0
3 years ago
7.Find the lengths of the missing sides in the triangle. If your answer is not an integer, leave it in simplest radical form. Th
Fed [463]

Here a right angled triangle given. one angle with measure 45^o given. The three sides of the triangle given 4, x, y.

We have to find, the sides which is opposite, adjacent and hypotenuse here.

We know that the side opposite to right angle is always hypotenuse. So, hypotenuyse = y.

The side adjacent to the given angle 45^o is x. So, here adjacent = x.

The opposite side is opposite to the given angle. So, opposite = 4.

Now we will use SOHCAHTOA that is sin(x) =\frac{Opposite}{Hypotenuse} , cos(x) =\frac{Adjacent}{Hypotenuse} , tan(x) =\frac{Opposite}{Adjacent}, where x is the angle given.

To get x, we will use tan. So we will get,

tan(45^o) = \frac{4}{x}

We know the value of tan(45^o) = 1. By substituting the value we will get,

1 =\frac{4}{x}

To find x, we have to move x here to the left side by multiplying it to both sides. We will get,

(1)(x) = (\frac{4}{x}) (x)

x = 4

So we have got the value of x here.

Now to find y, we will use the trigonometric function sine.

sin(45^o) =\frac{4}{y}

we know the value of sin(45^o) =\frac{\sqrt{2}}{2}

By substituting the value we will get,

\frac{\sqrt{2}}{2}  = \frac{4}{y}

By cross multiplying we will get,

(\sqrt{2}) (y) = (4)(2)

\sqrt{2}y = 8

We will get y by dividing both sides by \sqrt{2}, we will get,

\frac{\sqrt{2}y}{\sqrt{2}}   =\frac{8}{\sqrt{2} }

y =\frac{8}{\sqrt{2}  }

Now we will rationalize the denominator by multiplying \sqrt{2} to the top and bottom.

y =\frac{8\sqrt{2}}{(\sqrt{2})(\sqrt{2})}

y =\frac{8\sqrt{2}}{2}

y = 4\sqrt{2}

So we have got the required values of x and y.

8 0
3 years ago
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Which of the following tables does not represent a linear relationship between x and y?
vovangra [49]

Answer:

The first one is not liner

Step-by-step explanation:

This isn't linear because the y values increase inequally. It adds 2 and then 3 instead of keeping a constant rate

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3 years ago
Please help I'll give you brainliest
PSYCHO15rus [73]

Answer:

Equation 1: No solution

Equation 2: Infinity

Equation 3: One solution

Equation 4: Infinity

Equation 5: No solution

Hope this helps you. Do mark my answer as brainly. Thanks

7 0
3 years ago
afamily had dinner in a restaurant. If the cost of the cdinner was Rs. 2500, how much did the family pay with 10% service charge
yan [13]

Step-by-step explanation:

Find 10%:

100% = 2500

1% = 2500 divide 100

= 25

10% = 25 x 10 = 250

Find the 13% vat:

13% = 25 x 13 = 325

Find the total amount he got charged:

325 + 250 = 575

Total amount he had to pay for dinner + charges:

2500 + 575 = 3075

Answer: Rs. 3075

3 0
3 years ago
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