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3 years ago

What is the product of (-4)(7) and why?

Mathematics

1 answer:

Evgesh-ka [11]3 years ago

3 0

Answer:

The product of (-4)(7) is -28

Step-by-step explanation:

First you will multiply the number together.

This gets you -28.

The reason it is a negative number is because when you multiply a positive and a negative number together, you get a negative number.

Whereas, if it were two negative numbers, (-4)(-7), or two positive numbers,

(4)(7), the answer would have been positive, 28.

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valina [46]

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Rite the word sentence as an inequality. two less than a number is more than 15

Fantom [35]

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3 years ago

Alex sold 330 candy bars, milk chocolate candy bars sold for $2 each and white chocolate candy bars sold for $3 each. Alex sold

Alinara [238K]

Answer:

<em>Alex sold 330 white chocolate bars</em>

Step-by-step explanation:

let the milk chocolate candy be x and the white chocolate candy be y. then

then 2x+3y=990----1)

x+y=330-----2)

from eq 2) ⇒ x=330-y---------3)

Putting eq 3 in eq 1

2(330-y) +3y=990

660-2y+3y=990

y=990-660=330-----------4)

Putting eq4 in eq1

2x+3(330)=990

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3 years ago

Choose which categories are ordinal data related to dogs.

babymother [125]

Answer:

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3 years ago

Find a solution x = x(t) of the equation x′ + 2x = t2 + 4t + 7 in the form of a quadratic function of t, that is, of the form x(

Temka [501]

The particular quadratic solution to the ODE is found as follows:

$x=at^2+bt+c$
$x'=2at+b$

$(2at+b)+2(at^2+bt+c)=t^2+4t+7$
$2at^2+(2a+2b)t+(b+2c)=t^2+4t+7$

$\begin{cases}2a=1\\2(a+b)=4\\b+2c=7\end{cases}\implies a=\dfrac12,b=\dfrac32,c=\dfrac{11}4$

Note that there's also the fundamental solution to account for, which is obtained from the characteristic equation for the ODE:

$x'+2x=0\implies r+2=0\implies r=-2$

so that $x_c=Ce^{-2t}$ is a characteristic solution to the ODE, and the general solution would be

$x=Ce^{-2t}+\dfrac{t^2}2+\dfrac{3t}2+\dfrac{11}4$

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3 years ago