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2 years ago

Solve. −1.2z−8.2>−9.7

1 answer:

3 0

Remember, you can do anything to an equation as long as you do it to both sides

for all inequalities, when you multiply or divide both sides by a negaitve, flip the direction of the sign (so from > to < or ≤ to ≥)

so

-1.2z-8.2>-9.7
we want to isolate the variable
add 8.2 to both sides
-1.2z+8.2-8.2>8.2-9.7
-1.2z+0>-1.5
-1.2z>-1.5
divide both sides by -1.2 and flip the sign
z<1.25

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Adam is using the equation (x)(x + 2) = 255 to find two consecutive odd integers with a product of 255. When Adam solves the pro

kondaur [170]

$\bf (x)(x+2)=255\implies x^2+2x=255\implies x^2+2x-255=y
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\textit{setting y=0}\implies x^2+2x-255=0
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\textit{now, factoring that}
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(x+17)(x-15)=0\implies 
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notice the picture of the graph added here
low and behold, x = -17, y is 0, and x= 15, y is 0
the graph is touching the x-axis, an x-intercept
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2 years ago

Read 2 more answers

Apply the distributive property to factor out the greatest common factor 16g+20h

UkoKoshka [18]

Answer:

4(4g+5h)

Step-by-step explanation:

Factor out the 4.

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2 years ago

Two components of a minicomputer have the following joint pdf for their useful lifetimes X and Y: f(x, y) = xe−x(1 + y) x ≥ 0 an

Yuri [45]

Answer:

For the given explanation we see that two life times are not independent

Step-by-step explanation:

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$-e^-^x\int\limits^\infty_0 {de^-^x^y} \,$

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Probability for X exceed 3

= $\int\limits^\infty_3 {f(x)dx$

= $\int\limits^\infty_3 {e^-^3 dx$

= $e^-^3$

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$\int\limits^\infty_0 {xe^-^x^(^1^+^y^)} \, dx \\$

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2 years ago

The position of an open-water swimmer is shown in the graph. The shortest route to the shoreline is one that is perpendicular to

Elenna [48]

Answer:

$y = -\frac{4}{3}x + 9$

Step-by-sep explanation:

To create an equation that represents the shortest oath of the swimmer that is perpendicular to the shoreline, we need to find the slope, m, and the y-intercept, b.

The slope of the path would be the negative reciprocal of the slope of the shoreline, since they are perpendicular.

Let's find the slope of the shoreline.

Using two points on the shoreline, (0, 1) and (4, 4),

Slope (m) = $\frac{y_2 - y_1}{x_2 - x_1} = \frac{4 - 1}{4 - 0} = \frac{3}{4}$