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3 years ago

Graph or explain how to graph the equation: y = 3x -5

Mathematics

2 answers:

Lesechka [4]3 years ago

5 0

3 is the slope and -5 is the y-intercept

SpyIntel [72]3 years ago

4 0

slope intercept form is

y=mx+b

where m is the slope and b is the y intercept

the equation is given in slope intercept form so that the

slope = 3

y-intercept = -5

to graph this you will first place a point on (-5,0) since it's the y intercept.

then since the slope is rise/run and we have 3 (or 3/1) you will start at (-5,0), and from there go up 3 units and to the right one unit. where you end up will be your second point.

hope this helps

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The radius of a right circular cone is increasing at a rate of 1.9 in/s while its height is decreasing at a rate of 2.2 in/s. At

musickatia [10]

Answer:

Volume of the cone is increasing at the rate $9916\pi \frac{in^3}{s}$ .

Step-by-step explanation:

Given: The radius of a right circular cone is increasing at a rate of $1.9$ in/s while its height is decreasing at a rate of $2.2$ in/s.

To find: The rate at which volume of the cone changing when the radius is $134$ in. and the height is $136$ in.

Solution:

We have,

$\frac{dr}{dt} =1.9 \:\text{in/s}$ , $\frac{dh}{dt}=-2.2\:\text{in/s}$ , $r=134 \:\text{in}$ , $h=136\:\text{in}$

Now, let $V$ be the volume of the cone.

So, $V=\frac{1}{3}\pi r^{2}h$

Differentiate with respect to $t$ .

$\frac{dv}{dt} =\frac{1}{3}\pi \left [ r^2\frac{dh}{dt}+h\left ( 2r \right )\frac{dr}{dt} \right ]$

Now, on substituting the values, we get

$\frac{dv}{dt} =\frac{1}{3}\pi\left [ \left ( 134 \right )^2\left ( -2.2 \right )+\left ( 136\right )\left ( 2 \right )\left ( 134 \right )\left ( 1.9 \right ) \right ]$

$\frac{dv}{dt} =\frac{1}{3}\pi\left [ -39503.2+69251.2 \right ]$

$\frac{dv}{dt} =\frac{1}{3}\pi\left [ 29748 \right ]$

$\frac{dv}{dt} =9916\pi \frac{in^3}{s}$

Hence, the volume of the cone is increasing at the rate $9916\pi \frac{in^3}{s}$ .

6 0

3 years ago

PLEASE HELP CORRECT ANSWERS ONLY!!

mariarad [96]

Answer:

Associative Property of Reciprocals

5 0

3 years ago

A serving size for pineapple-orange punch is 1/2 cup. Liam needs to make 72 servings of punch. He will use 8 pints of pineapple

Hunter-Best [27]

Since a serving is 1/2 cup and he needs 72 servings you can multiply 72 by 1/2 and find out that he needs to make 36 cups of punch. Two cups is a pint so he needs (36 / 2) 18 pints of juice. He already has the 8 pints of pineapple juice so 18 - 8 leaves 10 pints of orange juice.

7 0

3 years ago

Read 2 more answers

The diagonal of a rectangle is 15 cm, and the perimeter is 38 cm. What is the area?

tigry1 [53]

Answer:

a² + b² = 15² = 225

P = 2a + 2b = 2(a + b) = 38

P² = 4(a + b)² = 38²

4(a² + 2ab + b²) = 1444

Substitute a² + b² with 225

4(2ab + 225) = 1444