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4 years ago

Integers are _____ rational numbers

Mathematics

1 answer:

Crazy boy [7]4 years ago

8 0

Non-fraction... Do I have choices?

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PLEASE HELP! please help!!! omgggg

anzhelika [568]

Answer:

2nd option because the number next to the x is the slope (3) and the added number is your intercept (4)

Step-by-step explanation:

5 0

3 years ago

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4(y + 1) + y = 5(x - 1) + 9<br> Solve for y

goldfiish [28.3K]

Answer:

y=x

Step-by-step explanation:

4y+4+y=5x-5+9

5y+4=5x+4

5y=5x

y=x

5 0

4 years ago

A batter strikes a baseball. the equation y = -0.005^2 +0.7x + 3.5 models its path, where x is the horizontal distance, in feet,

hram777 [196]

Answer:

(D)144.8 feet

Step-by-step explanation:

Given the equation which models the path of the baseball

$y = -0.005x^2 +0.7x + 3.5$

where x is the horizontal distance, in feet, the ball travels and y is the height, in feet, of the ball.

To determine how far from the batter the ball will land, we determine the distance x at which the height, y=0.

$y = -0.005x^2 +0.7x + 3.5=0$

$-0.005x^2 +0.7x + 3.5=0$

We use the quadratic formula to solve.

In the quadratic equation above, a=-0.005, b=0.7, c=3.5

$x=\dfrac{-b\pm\sqrt{b^2-4ac} }{2a} \\=\dfrac{-0.7\pm\sqrt{0.7^2-4(-0.005*3.5)} }{2*-0.005} \\=\dfrac{-0.7\pm\sqrt{0.49+0.07} }{-0.01}\\=\dfrac{-0.7\pm\sqrt{0.56} }{-0.01}\\x=\dfrac{-0.7+\sqrt{0.56} }{-0.01} \: or\: x=\dfrac{-0.7-\sqrt{0.56} }{-0.01}\\x=-4.83 \: or\: x=144.83$

Since x cannot be negative, x=144.8 feet to the nearest tenth of a foot.

<u>The correct option is D.</u>

6 0

3 years ago

Find all of the solutions for the following equation. 2 sin q + 3 = sin q + 2

kow [346]

Answer:

q = 270 degrees + 360n where n is an integer

Step-by-step explanation:

2 sin q + 3 = sin q + 2

Subtract sin q from each side

2 sin q - sin q + 3 = sin q + 2

sin q + 3 = 2

Subtract 3 from each side

sin q +3-3 = 2-3

sin q = -1

Take the inverse sin of each side

sin ^-1 (sin q) = sin^-1 (-1)

q = 270 degrees + 360n where n is an integer

3 0

4 years ago

If each exterior angle of a regular polygon measures 15°, how many sides does the polygon have?

Yuri [45]

Answer:

Step-by-step explanation:

The sum of the exterior angles of a polygon = 360°

Divide this by the size of 1 exterior angle to find number of sides, that is

number of sides = $\frac{360}{15}$ = 24

4 0

3 years ago

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