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3 years ago

What is the solution of y/-2 <- 5

Mathematics

1 answer:

makkiz [27]3 years ago

5 0

Answer:

Step-by-step explanation:

Y=-10

-5/2=-2.5

Keep in mind that...when dealing with negative numbers, the number closer to zero is the bigger number.

2.5 if closer to zero so the answer is F

You might be interested in

Find the distance between the two points rounding to the nearest tenth (if necessary) (-1,-2) and (5,2)

Ivan

Answer:

Distance between the two points

AB = √52 = 7.2111

Step-by-step explanation:

<u><em>Explanation:-</em></u>

Given points are (-1,-2) and (5,2)

Distance formula

$= \sqrt{(x_{2}-x_{1} )^{2} +(y_{2} -y_{1})^{2} }$

$= \sqrt{(5-(-1) )^{2} +(2 -(-2))^{2} }$

$= \sqrt{(6 )^{2} +(4)^{2} }$

= √36+16

=√52

= 7.2111

<u><em>Final answer:-</em></u>

Distance between the two points

AB = √52 = 7.2111

7 0

3 years ago

What is the reason for each step in the solution of the equation?

iVinArrow [24]

4x-1=-2(x+1)
Distribute
4x-1=-2x-2
Move variable to left and change signs
4x+2x=-2+1
Combine like terms
6x=-1
Divide both sides by 6
X=-1/6

4 0

3 years ago

Solve it ......<br> <img src="https://tex.z-dn.net/?f=3x%2B4%3D28" id="TexFormula1" title="3x+4=28" alt="3x+4=28" align="absmidd

o-na [289]

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$\blue\textsf{\textbf{Question:-}}}}$

Solve 3x+4=28

$\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}$

First, subtract 4 on both sides:-

$\tt{3x=28-4}$

$\tt{3x=24}$

Divide by 3 on both sides:-

$\dashrightarrow\bigstar\boxed{\boxed{\bold{x=8}}}\dashleftarrow$

- - - - -- - -- - - - - - - - - - - - - - -- - - - - -- - - - - - - - - - - - - - - - - - - - - - -

8 0

2 years ago

Read 2 more answers

Mark has fourteen dollars and Dan has sixteen dollars. They both have spent five dollars at the mall. Mark still has less money

tino4ka555 [31]

Answer: yes

Step-by-step explanation: Because he had a lower number to begin with and they both spent the same amount of money

4 0

3 years ago

Need help with AP CAL

anzhelika [568]

Answer: Choice C

$\displaystyle \frac{1}{2}\left(1 - \frac{1}{e^2}\right)$

============================================================

Explanation:

The graph is shown below. The base of the 3D solid is the blue region. It spans from x = 0 to x = 1. It's also above the x axis, and below the curve $y = e^{-x}$

Think of the blue region as the floor of this weirdly shaped 3D room.

We're told that the cross sections are perpendicular to the x axis and each cross section is a square. The side length of each square is $e^{-x}$ where 0 < x < 1

Let's compute the area of each general cross section.

$\text{area} = (\text{side})^2\\\\\text{area} = (e^{-x})^2\\\\\text{area} = e^{-2x}\\\\$

We'll be integrating infinitely many of these infinitely thin square slabs to find the volume of the 3D shape. Think of it like stacking concrete blocks together, except the blocks are side by side (instead of on top of each other). Or you can think of it like a row of square books of varying sizes. The books are very very thin.

This is what we want to compute

$\displaystyle \int_{0}^{1}e^{-2x}dx\\\\$

Apply a u-substitution

u = -2x

du/dx = -2

du = -2dx

dx = du/(-2)

dx = -0.5du

Also, don't forget to change the limits of integration

If x = 0, then u = -2x = -2(0) = 0
If x = 1, then u = -2x = -2(1) = -2

This means,

$\displaystyle \int_{0}^{1}e^{-2x}dx = \int_{0}^{-2}e^{u}(-0.5du) = 0.5\int_{-2}^{0}e^{u}du\\\\\\$

I used the rule that $\displaystyle \int_{a}^{b}f(x)dx = -\int_{b}^{a}f(x)dx$ which says swapping the limits of integration will have us swap the sign out front.

--------

Furthermore,

$\displaystyle 0.5\int_{-2}^{0}e^{u}du = \frac{1}{2}\left[e^u+C\right]_{-2}^{0}\\\\\\= \frac{1}{2}\left[(e^0+C)-(e^{-2}+C)\right]\\\\\\= \frac{1}{2}\left[1 - \frac{1}{e^2}\right]$

In short,

$\displaystyle \int_{0}^{1}e^{-2x}dx = \frac{1}{2}\left[1 - \frac{1}{e^2}\right]$

This points us to choice C as the final answer.

5 0

2 years ago