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lora16 [44]
3 years ago
13

Please, help! Pretty urgent!

Mathematics
1 answer:
jekas [21]3 years ago
4 0

Answer:

1. As definition, in a function, the set of all possible inputs or possible x values is called the domain.

=> Option 2 is correct.

2. As definition, in a function, the set of all possible outputs or possible y values is called the range.

=> Option 3 is correct.

3. You pay a fixed amount of 70$ and 3$ for each movie.

=> A function that models the total cost: y = 70 + 3x

=> Option 1 is correct

4. Similar to the 3rd, you pay a fixed amount of 5$ to enter and 2$ for each ride.

=> A function that models the total cost: y = 5 + 2x

=> Option 3 is correct.

5.  The average rate of change (R) of f(x) = x2 + 1 from x = 0 to x = 3 is actually the rate of change of line passes (0, 1) and (3, 10) as shown in picture.

=> R = (10 - 1)/(3 - 0) = 9/3 = 3

=> Option 1 is correct.

6. As property of vertical line:  75 = x - 10 + 20

=> x = 75 + 10 - 20 = 65 deg

As property of complement angles: 75 + y = 180

=> y = 180 - 75 = 105 deg

=> Option 2 is correct.

7. Yes, the two triangles are congruent (Side-Angle-Side case) with two sides are equal and the pair of angles created by those pair of 2 sides are also equal.

Hope this helps!

:)

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Find the distance between the line 1.2x − 0.5y + 1.1=0 and the origin.
denpristay [2]

Answer:

The answer to your question is: d = 0.85 units

Step-by-step explanation:

Data

Line equation:  1.2 x − 0.5 y + 1.1 = 0        A = 1.2; B = -0.5; C = 1.1

Point (0, 0)                                                  x = 0; y = 0

Formula

d = | Ax + By + C | / √(A² + B²)

Process

d = |(1.2)(0) + (-0.5)(0) + 1.1 | / √ (1.2)² + (0.5)²

d = | 1.1 | / √ 1.44 + 0.25

d = 1.1 / √ 1.69

d = 1.1 / 1.3

d = 0.85 units

7 0
2 years ago
What is the approximate volume of the sphere?
iVinArrow [24]
The correct answer is 523.33 mm^3

//p.s I already took the test and this was the correct answer//

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3 0
3 years ago
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1) Create a box plot comparing the score of the boyd and girls as best you can
Umnica [9.8K]

Answer:

dk man

Step-by-step explanation:

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4(5n+7)-3n=3(4n-9) Solve. Its supposed to equal -11
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Here are the steps to solve the equation. Good luck!

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A quadratic relation has zeros at 3 and –5. The parabola goes through the point (2, –14). What is the equation of the parabola i
olasank [31]

Answer:

\displaystyle  2 {x}^{2}  + 4x - 30 = 0

Step-by-step explanation:

we are given the zeros and a point where it goes through of a quadratic equation

remember that when the roots are given then the function should be

\displaystyle \: y =  a(x -  x_{1})(x -  x_{2})

where a is the leading coefficient and x1 and x2 are the roots

substitute:

\displaystyle y = a(x -  (3))(x -  ( - 5))

simplify:

\displaystyle y = a(x -  3)(x  + 5)

now the given point tells us that when x is 2 y is -14 therefore by using the point we can figure out a

substitute:

\displaystyle a(2 -  3)(2  + 5)  =  - 14

simplify parentheses:

\displaystyle a(  - 1)(7)  =  - 14

simplify multiplication:

\displaystyle  - 7a =  - 14

divide both sides by -7:

\displaystyle  a =  2

altogether substitute:

\displaystyle y = 2(x -  3)(x  + 5)

since it want the equation y should be

\displaystyle  2(x -  3)(x  + 5)  = 0

recall quadratic equation standard form:

\displaystyle   {ax}^{2}  + bx + c = 0

so simplify parentheses:

\displaystyle  2( {x}^{2}  + 2x - 15 )  = 0

distribute:

\displaystyle  2 {x}^{2}  + 4x - 30 = 0

hence,

the equation of the parabola in standard form is <u>2</u><u>x</u><u>²</u><u>+</u><u>4</u><u>x</u><u>-</u><u>3</u><u>0</u><u>=</u><u>0</u>

8 0
3 years ago
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