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2 years ago

A cab company charges a 3.50 boarding fee and 0.50 per mile.write it as a linear equation

Mathematics

2 answers:

aleksandrvk [35]2 years ago

4 0

Answer:

y = 0.5x + 3.5

Step-by-step explanation:

The y- intercept (boarding fee) is what the price is starting as. It basically is saying that once you sit in that cab, you are paying $3.50. Then, per mile, you have to pay 50 cents added onto that $3.50. So, your slope is the 50 cents.

I don't really know if that explantation made sense but I'm almost positive my answer is right.

nadezda [96]2 years ago

3 0

Answer:

y = 0.50x + 3.50

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Please help asap! i need to find the missing coordinate

Harrizon [31]

Answer:

8 or 32

Step-by-step explanation:

So we are given two coordinates and the length of the segment formed by those coordinates.

To find the unknown coordinate, we can use the distance formula. Let the unknown value be n:

Let's let (-2,n) be x₁ and y₁ and let (-7,20) be x₂ and y₂.

The distance formula is given by the formula:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Substitute (-2,n) for x₁ and y₁ and (-7,20) for x₂ and y₂. Also, since we already know that the length is 13, substitute it for d. Thus:

$(13)=\sqrt{((-7)-(-2))^2+((20)-(n))^2}$

Do the operations within the parentheses:

$13=\sqrt{(-7+2)^2+(20-n)^2}\\13=\sqrt{(-5)^2+(20-n)^2}$

Now, square both sides to take out the square root:

$(13)^2=(\sqrt{(-5)^2+(20-n)^2})^2$

Simplify:

$169=(-5)^2+(20-n)^2$

Square (-5):

$169=25+(20-n)^2$

Subtract 25 from both sides. The right cancels:

$(169)-25=(25+(20-n)^2)-25\\144=(20-n)^2$

Now, take the square root of both sides.

$\pm\sqrt{144}=\sqrt{(20-n)^2}$

Simplify:

$\pm12=(20-n)$

So, we have two solutions:

$(12=20-n)\text { or }(-12=20-n)$

On the left, subtract 20. On the right, also subtract 20:

$(-8=-n)\text { or }(-32=-n)$

Divide both sides by -1:

$(n=8)\text{ or } (n=32)$

So, our two possible answers are 8 or 32.

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3 years ago

A swimming pool had 2.5 million liters of water in it. Some water evaporated, and then the pool only had 2 million liters of wat

Phoenix [80]

Answer:

20%

Step-by-step explanation:

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2 years ago

Write the verbal sentence as an equation. let y represent the number

viktelen [127]

Answer:

Marcus is picking songs to play during a slideshow. The songs are each 3\dfrac123

3, start fraction, 1, divided by, 2, end fraction minutes long. The slideshow is 31\dfrac1231

31, start fraction, 1, divided by, 2, end fraction minutes long.

Step-by-step explanation:

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2 years ago

7. Which dimensions result in the minimum perimeter for a rectangle with area 42.0 cm2?

natali 33 [55]

9514 1404 393

Answer:

7. d. l = 6.48 cm, w = 6.48 cm

8. d. square

Step-by-step explanation:

For a given area, the perimeter can always be shortened by reducing the length of the long side and increasing the length of the short side. When you get to the point where you can't do that, then you have the minimum perimeter. You will reach that point when the sides are the same length: the rectangle is a square.

7. In light of the above, the best dimensions are √42 ≈ 6.48 cm for length and width.

8. In light of the above, the shape is a square.

_____

The attached graph shows the length of one side (x) and the associated perimeter. The other side is 42/x, which will also be 6.48.

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2 years ago

Solve 4 cos2x-3 = 0 for all real values of x.

vichka [17]

4 cos² x - 3 = 0

4 cos² x = 3

cos² x = 3/4

cos x = ±(√3)/2

Fixing the squared cosine doesn't discriminate among quadrants. There's one in every quadrant

cos x = ± cos(π/6)

Let's do plus first. In general, cos x = cos a has solutions x = ±a + 2πk integer k

cos x = cos(π/6)

x = ±π/6 + 2πk

Minus next.

cos x = -cos(π/6)

cos x = cos(π - π/6)

cos x = cos(5π/6)

x = ±5π/6 + 2πk

We'll write all our solutions as

x = { -5π/6, -π/6, π/6, 5π/6 } + 2πk integer k

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2 years ago