X^2-3/ x^2-4 Find the x-intercept, y-intercept, verticle asymptote, and horizontal asymptote

The slope of the line containing the points (6, 4) and (-5, 3) is: 1 -1 1/11

julsineya [31]

Answer:

1/11

Step-by-step explanation:

(6, 4) and (-5, 3)

Slope:

m=(y2-y1)/(x2-x1)

m=(3-4)/(-5-6)

m= (-1)/(-11)

m = 1/11

3 0

3 years ago

Is this correct pls help

Lyrx [107]

Answer:

Volume of round cake pan = volume of cylinder

Volume of a cylinder = $\pi r^2h$ (where r is the radius and h is the height)

Radius = $\dfrac12$ diameter ⇒ $r=\dfrac72=3.5$

⇒ volume of round cake pan = $\pi \times 3.5^2 \times 2=24.5\pi$

= 76.97 in³ (nearest hundredth)

Volume of rectangular cake pan = volume of rectangular prism

volume of rectangular prism = $wlh$ (where w is the width, l is the length and h is the height)

⇒ volume of rectangular cake pan = 6 x 9 x 2 = 108 in³

As 108 > 76.97, the rectangular cake pan has a larger volume

4 0

2 years ago

How many liters of a 10% antifreeze solution and a 40% antifreeze solution must be mixed to make 15 liters of a 25% solution? Ro

butalik [34]

Answer:

7.5 liters of a 10% antifreeze solution AND

7.5 liters of a 40% antifreeze solution

Step-by-step explanation:

According to the question,we were asked to find out how many liters of 10% anti freeze solution and 40% anti freeze each to make a 15 liters 25% mixture

Let’s call

the amount of liters needed of our 10% solution “x”. So, how

many liters do we need of the 40% solution? Well, there are 15

liters in total, x liters have been spoken for, so what remains

of our allotted 10 liters then, is 15-x.

Now let's solve for "x"

10% of x + 40% of (15 - x) = 25% of 15 liters

0.1x + 0.4(15 - x) = 0.25(15)

0.1x + 6 - 0.4x = 3.75

Collect the like terms and we have

0.3x = 2.25

x = 2.25 × 3

X = 7.5(Liters for the 10% anti freeze solution)

The 40% solution= 15 - 7.5 = 7.5 liters

Since "X" was used to fill for the unknown amount of 10% anti freeze solution,we have 7.5 liters of the 10% solution and another 7.5 liters for the 40% solution to end up with 15 liters of the desired 25% solution.

8 0

3 years ago

What is the union sets M= (1,7,10,11,15) and N=(5,15)?

katen-ka-za [31]

Answer: (1,5,7,10,11,15)

To get the union of two sets of numbers, all you do is combine the numbers from least to greatest. If a number repeats in the 2 sets, you only put it once.

7 0

3 years ago

Read 2 more answers

A LARGE RECTANGULAR POSTER IS 3 TIMES AS LONG AND 3 TIMES AS WIDE AS A SMALL RECTANGULA POSTER. THE SMALL POSTER IS 3 FEET LONG

umka2103 [35]

Answer:

the Larger poster is 9ft long by 6ft wide

Step-by-step explanation:

In order to find the length and width values of the large poster we first need to find the width of the smaller poster since we are already given the length. Since we are also provided with the perimeter we can add the length twice and subtract it from the perimeter which would give us the value of both width sides of the rectangle, then we simply divide by 2 to get the value of the individual width.

10ft = 3ft + 3ft + w + w

10ft = 6ft + 2w

4ft = 2w

2ft = w

Since the larger poster is 3 times as big for the length and the width we simply multiply the smaller poster's length and width by 3...

L = 3 * 3 = 9ft

W = 2 * 3 = 6ft

Finally, we can see that the Larger poster is 9ft long by 6ft wide

8 0

3 years ago