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3 years ago

(3x — 2) (2x +9) I need help!!!

Mathematics

1 answer:

Debora [2.8K]3 years ago

6 0

Answer:

use math) way (dot com

Step-by-step explanation:

type it in on math) way (dot com

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Solving systems of equations using substitution. y=2x+8. y=5-x

kherson [118]

Answer:

(x, y) = (-1, 6)

Step-by-step explanation:

y = 2x + 8

y = 5 - x

Substituting the second equation into the first equation, we get:

5 - x = 2x + 8

5 = 3x + 8

-3 = 3x

x = -1.

So, y = 5 - (-1).

Simplifying, we get:

y = 6.

4 0

3 years ago

After having a pool built in their backyard, the Harrisons have contracted to have a fence installed around the pool. They want

artcher [175]

Answer:

27000

Step-by-step explanation:

Just multiple 300 and 90

3 0

4 years ago

A merchant wants to establish the selling price of an item that costs him $4.50 with a 15% markup. What is his selling price?

OLga [1]

Answer:

the answer it $5.18

Step-by-step explanation:

$4.50 + ($4.50 x .15)

$4.50 + $0.68 = $5.18

4 0

3 years ago

The rate at which the temperature is dropping is 6t 5t2 degrees Celsius per hour t hours after sundown. How much had the tempera

Whitepunk [10]

Using a differential equation, it is found that the temperature dropped 72 degrees Celsius between sundown and 3 hours after sundown.

<h3>What is the differential equation that describes the temperature in t hours after sundown?</h3>

The rate at which the temperature is dropping is $6t + 5t^2$ degrees Celsius per hour t hours after sundown, hence the <em>differential equation</em> is:

$\frac{dT}{dt} = 6t + 5t^2$

Applying <em>separation of variables</em>, we find the solution as follows:

$\frac{dT}{dt} = 6t + 5t^2$

$dT = (6t + 5t^2) dt$

$\int dT = \int (6t + 5t^2) dt$

$T(t) = \frac{5t^3}{3} + 3t^2 + T(0)$

In which T(0) is the temperature at sundown.

In 3 hours, the change will be of:

$C = T(3) - T(0) = \frac{5t^3}{3} + 3t^2|_{t = 3}$

Hence:

$\frac{5(3)^3}{3} + 3(3)^2 = 45 + 27 = 72$

The temperature dropped 72 degrees Celsius between sundown and 3 hours after sundown.

You can learn more about differential equations at brainly.com/question/24348029

5 0

2 years ago

The graph of the function f(x) = (x - 3)(x + 1)

djyliett [7]

Answer:

The graph is positive and decreasing for all real values of x where x < -1

Step-by-step explanation:

we have

$f(x)=(x-3)(x+1)$

The function is a vertical parabola open up

The roots (x-intercepts) are x=3 and x=-1

The vertex is the point (1,-4 ) is a minimum

using a graphing tool

see the attached figure

we know that

In the interval (-∞,-1) ---> the function is positive and decreasing

In the interval (-1,1) ---> the function is negative and decreasing

In the interval (1,3) ---> the function is negative and increasing

In the interval (3,∞) ---> the function is positive and increasing

therefore

The graph is positive and decreasing for all real values of x where x < -1

8 0

3 years ago