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3 years ago

Can you combine the terms 8x +5y? Explain.

Mathematics

2 answers:

DochEvi [55]3 years ago

7 0

no, they have different variables

a_sh-v [17]3 years ago

5 0

Answer:

Step-by-step explanation:

You can becuase 8 and 5=13 and then x and y equeal to somthing do yeah it’s right

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Pleasantburg has a population growth model of P(t)=at2+bt+P0 where P0 is the initial population. Suppose that the future populat

yulyashka [42]

Answer:

The population will reach 34,200 in February of 2146.

Step-by-step explanation:

Population in t years after 2012 is given by:

$P(t) = 0.8t^{2} + 6t + 19000$

In what month and year will the population reach 34,200?

We have to find t for which P(t) = 34200. So

$P(t) = 0.8t^{2} + 6t + 19000$

$0.8t^{2} + 6t + 19000 = 34200$

$0.8t^{2} + 6t - 15200 = 0$

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}$

$\bigtriangleup = b^{2} - 4ac$

In this question:

$0.8t^{2} + 6t - 15200 = 0$

So $a = 0.8, b = 6, c = -15200$

Then

$\bigtriangleup = 6^{2} - 4*0.8*(-15100) = 48356$

$t_{1} = \frac{-6 + \sqrt{48356}}{2*0.8} = 134.14$

$t_{2} = \frac{-6 - \sqrt{48356}}{2*0.8} = -141.64$

We only take the positive value.

134 years after 2012.

.14 of an year is 0.14*365 = 51.1. The 51st day of a year happens in February.

So the population will reach 34,200 in February of 2146.

6 0

3 years ago

The area of a rectangle is 20 square inches. If the length is 4 inches less than 6 times the width, then find the dimensions of

Tpy6a [65]

Step-by-step explanation:

Let the width=x

Length =6x-4

As we know that in a rectangle

${\boxed{\sf Area=LB}}$

Substitute the values

$\hookrightarrow\sf x (6x-4)=20$

$\hookrightarrow\sf 6x^2-4x=20$

$\hookrightarrow\sf 6x^2-4x-20=0$

Here a=6, b=-4, c=-20.
use quadratic formula

$\hookrightarrow\sf x=\dfrac {1}{3}+\dfrac {1}{3}\sqrt {31} \quad or \quad \dfrac {1}{3}+\dfrac {-1}{3}\sqrt {31}$

8 0

3 years ago

How far does the unicycle move if the wheel turns once?

algol [13]

The unicycle moves a distance of 251.20cm if the wheel turn once and the wheel must rotate 32 times to cover a distance of 100m

<h3>Circumference of a circle</h3>

The formula for calculating the circumference of a circle is given as:

C = 2pi r

r is the radius of the circle

a) r = 80/2 = 40cm

C = 2(3.14)(40)
C = 251.20 cm

Hence the unicycle moves a distance of 251.20cm if the wheel turn once

b) Number of revolution * 2pi r = distance covered

n * 2(3.14)(50) = 10000
314n = 10000
n = 10000/314

n =32

Hence the wheel must rotate 32 times to cover a distance of 100m

Learn more on circumference here: brainly.com/question/23986334

#SPJ1

8 0

3 years ago

44 lb 6 oz = ____ ounces

hodyreva [135]

Answer:

710 oz

Step-by-step explanation:

5 0

3 years ago

PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!!

Art [367]

A constant function is characterized by having the same value for f(x) in all it's domain. This means every value of x will have the same value in the axis y. You can see that in the graphic as a horizontal line.

The answer is: (2,6)

8 0

3 years ago

Read 2 more answers