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Mars2501 [29]
3 years ago
12

Y is 1 less than 2 times X which order pair fits this rule​

Mathematics
1 answer:
Anni [7]3 years ago
3 0

Answer:

y < 2X - 1

y = 2X - 1

Step-by-step explanation:

Let's try to make an equation from the worded problem.

"is Less than " means <

2 times means 2 * X

= 2X

y < 2X - 1

y = 2X - 1

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Given cos ⁡ ( θ ) = 5/6 , then sin ⁡ ( θ ) = a/b .<br><br> Determine the values of a and b.
slega [8]

Answer:

a = √11 and b = 6

Step-by-step explanation:

Refer to attached picture for reference

for an right triangle with angle θ

we are given

cos θ = 5/6 = length of adjacent side / length of hypotenuse

hence

adjacent length = 5 units

hypotenuse length = 6 units

the missing side is the "opposite" length which we can find with the Pythagorean equation. in our case:

hypotenuse ² = adjacent ² + opposite²   (rearrange)

opposite ² = hypotenuse ² - adjacent ²

opposite ² = 6² - 5²

opposite = √ (6²-5²) = √11

sin θ = opposite length / hypotenuse  (substitute values above)

sin θ = √11 / 6

hence a = √11 and b = 6

3 0
3 years ago
One type of insect is 0.0052 meters long. What is the lenght in scientific notation
Ket [755]

Answer:

5.2 × 10^{-3}

Step-by-step explanation:

a number in scientific notation is expressed as

a × 10^{n}

where 1 ≤ a < 10 and n is an integer

write 0.0052 as a number between 1 and 10, that is 5.2

we have to the move the decimal point 3 places to the left to retain it's value

3 places left means n is - 3

0.0052 = 5.2 × 10^{-3}


8 0
3 years ago
A baseball team played 130 games in a season. If it won sixteen more games
egoroff_w [7]

Answer:

The team has 92 wins and 38 losses.

Step-by-step explanation:

In a season 130 games are played by a baseball team.

Let us assume that the team wins x games and losses y games.

Therefore, we can write, x + y=130....... (1)

It is given that if the team won sixteen more games twice as many games as it lost.

So, we can conclude that x =2y+16 ......(2)

Hence, solving equations (1) and (2) we get, (2y+16) + y =130

⇒ 3y = 114

⇒ y =38

And from equation (2), x = 2×38 + 16 = 92

Therefore, the team has 92 wins and 38 losses. (Answer)

4 0
3 years ago
Why did the inequality sign flip?
kumpel [21]

Answer:

We multiplied by a negative number (-8)

We divided by a negative number (-8)

Step-by-step explanation:

Multiplying or dividing both sides of an equation by a negative number changes the inequality of the equation, because it changes the sign of each side of the equation

6 0
2 years ago
A quadratic equation is shown below:
AfilCa [17]

the solutions to a general quadratic equation is

X=-b±√b²-4ac/2a  ,, When ax²+bx+c=0

the discriminant is the expression under the radical b²−4ac

Part A:

discriminant is (-16)² - 4(9)(60) = -1904

there are two complex solutions  

Part B:  

4x² + 8x − 5 = 0

4x² + 10x -2x - 5=0

2x ( 2x + 5) - 1(2 x + 5) =0  

(2x + 5)(2x-1) = 0

      /                     \

    /                          \

2x+5 = 0                 2x-1 =0    

x = -5/2                     x = 1/2

5 0
3 years ago
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