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2 years ago

Help me plisss .............................

Mathematics

1 answer:

ValentinkaMS [17]2 years ago

8 0

Answer:

-100

Step-by-step explanation:

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Solve the polynomial equation x3 + 7x2 − 16x −112 = 0 and select the correct answer below.

prohojiy [21]

X^3 + 7*x^2 + -16*x-112
=(x + 4)*(x + 7)*(x - 4)

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2 years ago

The graph of f "(x) is continuous and decreasing with an x-intercept at x = 0. Which of the following statements is true?

kari74 [83]

Answer:

The graph of f has an inflection point at x = 0.

Step-by-step explanation:

An inflection point occurs when the second derivative changes signs. Since f"(x) is decreasing and has an x-intercept at 0, it changes signs from + to -, so there is an inflection point at x = 0.

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2 years ago

Find the general solution of x'1 = 3x1 - x2 + et, x'2 = x1.

Ann [662]

Note that if ${x_2}'=x_1$ , then ${x_2}''={x_1}'$ , and so we can collapse the system of ODEs into a linear ODE:

${x_2}''=3{x_2}'-x_2+e^t$
${x_2}''-3{x_2}'+x_2=e^t$

which is a pretty standard linear ODE with constant coefficients. We have characteristic equation

$r^2-3r+1=\left(r-\dfrac{3+\sqrt5}2\right)\left(r+\dfrac{3+\sqrt5}2\right)=0$

so that the characteristic solution is

${x_2}_C=C_1e^{(3+\sqrt5)/2\,t}+C_2e^{-(3+\sqrt5)/2\,t}$

Now let's suppose the particular solution is ${x_2}_p=ae^t$ . Then

${x_2}_p={{x_2}_p}'={{x_2}_p}''=ae^t$

and so

$ae^t-3ae^t+ae^t=-ae^t=e^t\implies a=-1$

Thus the general solution for $x_2$ is

$x_2=C_1e^{(3+\sqrt5)/2\,t}+C_2e^{-(3+\sqrt5)/2\,t}-e^t$

and you can find the solution $x_1$ by simply differentiating $x_2$ .

7 0

2 years ago

How do you solve 5x-2y= 18 and -5x+3y= -22 by solving a system of linear equations by elimination? Please add the steps in which

MaRussiya [10]

Write the 2 equations:

5x-2y=18
-5x+3y=-22

You can see that the coefficients of x are opposites, so you can add them(the 2 equations) to eliminate x.

Adding them, you get:

y=-3

So now that you know y, you can substitute the value of y into one of the original equations. Let's substitute it in the first one:

5x+6=18

Solving this, we get:

5x=12
x=12/5

x=12/5, y=-3

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2 years ago

A grocery store sells three different quantities of sugar. A 1 pound bag costs $1.10 a 2-pound bag costs $1.98 and a 3-pound bag

Kipish [7]

The units change by 88 to 87 so the unit decrease by 1 I think

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2 years ago

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