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STALIN [3.7K]
3 years ago
6

In a certain game a player can solve east or hard puzzles. A player earns 30 points for solving an easy puzzle and 60 points for

solving a hard puzzle. Tina solves a total of 50 puzzles playing this game earning 1,950 points in all. How many hard puzzles did Tina solve?
Mathematics
1 answer:
s344n2d4d5 [400]3 years ago
6 0

Answer:

15.

Step-by-step explanation:

Given, a player can earn 30 points for an easy puzzle and 60 points for solving a hard puzzle. Tina solved total 50 puzzles and earned 1950 points. Let, x= easy puzzle and y= hard puzzle.

So, according to the conditions, the equations will be x+y= 50, and 30x+ 60y= 1950. Now, multiplying the first equation with 30, we get a third equation, which is 30x+30y= 1500. Let's subtract the second and third equations. By subtracting, we get, 30y= 450

or y= 15.

So, Tina solved 15 hard puzzles.  

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Which three ordered pairs complete the table to give solutions of the equation y = –6x?
Anika [276]
A: <span>(–2, 12), (0,0), and (2, –12)</span>
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Part A<br> How can you determine whether JKL = PQR?<br><br> Part B<br> Is JKL = PQR
kotegsom [21]

Answer:

JKL = PQR and JKL = PQR

Step-by-step explanation:

7 0
3 years ago
I Need to find the Function Operations​
Alinara [238K]

Answer:

1) (f+g)(x)=2x^2+3x-6

2) (f-g)(x)=2x^2+x

3) (f \cdot g)(x)=2x^3-4x^2-9x+9

Step-by-step explanation:

So we have the two functions:

f(x)=2x^2+2x-3\text{ and } g(x)=x-3

And we want to find (f+g)(x), (f-g)(x), and (f*g)(x).

1)

(f+g)(x) is the same to f(x)+g(x). Substitute:

(f+g)(x)=f(x)+g(x)\\=(2x^2+2x-3)+(x-3)

Combine like terms:

=(2x^2)+(2x+x)+(-3-3)

Add:

=2x^2+3x-6

So:

(f+g)(x)=2x^2+3x-6

2)

(f-g)(x) is the same to f(x)-g(x). So:

(f-g)(x)=f(x)-g(x)\\=(2x^2+2x-3)-(x-3)

Distribute:

=(2x^2+2x-3)+(-x+3)

Combine like terms:

=(2x^2)+(2x-x)+(-3+3)

Simplify:

=2x^2+x

So:

(f-g)(x)=2x^2+x

3)

(f*g)(x) is the same to f(x)*g(x). Thus:

(f\cdot g)(x)=f(x)\cdot g(x)\\=(2x^2+2x-3)(x-3)

Distribute:

=(2x^2+2x-3)(x)+(2x^2+2x-3)(-3)

Distribute:

=(2x^3+2x^2-3x)+(-6x^2-6x+9)

Combine like terms:

=(2x^3)+(2x^2-6x^2)+(-3x-6x)+(9)

Simplify:

=2x^3-4x^2-9x+9

So:

(f \cdot g)(x)=2x^3-4x^2-9x+9

4 0
3 years ago
F K = {(x, y) | x - y = 5}, is Set K a function?
muminat

Answer:

Yes, because the linear function  x - y = 5 is a function

Step-by-step explanation:

x - y = 5  can look like   y = x - 5  with slope 1 and y-intercept -5

so this is a function  which makes set K a function.

3 0
3 years ago
Verify sin(360 - etheta = -sin etheta
Dovator [93]

Answer:

see explanation

Step-by-step explanation:

Using the subtraction identity for sine

sin(a + b) = sinacosb - cosasinb

Given

sin(360 - Θ)°

= sin360°cosΘ° - cos360°sinΘ°

= (0 × cosΘ ) - (1 × sinΘ)

= 0 - sinΘ

= - sinΘ  ← as required

8 0
3 years ago
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