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nalin [4]
2 years ago
15

Why did the inequality sign flip?

Mathematics
1 answer:
kumpel [21]2 years ago
6 0

Answer:

We multiplied by a negative number (-8)

We divided by a negative number (-8)

Step-by-step explanation:

Multiplying or dividing both sides of an equation by a negative number changes the inequality of the equation, because it changes the sign of each side of the equation

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3x − 15= 3x + 15<br> what is x?
Marina CMI [18]

We are given the following equation and want to find the possible values of x

3x-15=3x+15

Subtract both sides by 3x

3x-15-3x=3x+15-3x

-15=15

Now, we have this weird equation. Since -15 is NOT equal 15 and there is no other way we could have solved for x, there is no real solution to the given equation.

In other words, there is no value of x that makes the equation true.

Let me know if you need any clarifications, thanks!

~ Padoru

7 0
3 years ago
X^2 + Y^2 +ax + 2y + 3 = 0<br><br> What number is this equation the equation of a circle?
Sav [38]

Answer:

Eq: (x+a/2)²+(y+1)²=(a²-8)/4

Center: O(-a/2, -1)

Radius: r=0.5×sqrt(a²-8)

Mandatory: a>2×sqrt(2)

Step-by-step explanation:

The circle with center in O(xo,yo) and radius r has the equation:

(x-xo)²+(y-yo)²=r²

We have:

x²+y²+ax+2y+3=0

But: x²+ax=x²+2(a/2)x+a²/4-a²/4= (x+a/2)²-a²/4

And

y²+2y+3=y²+2y+1+2=(y+1)²+2

Replacing, we get:

(x+a/2)²-a²/4+(y+1)²+2=0

(x+a/2)²+(y+1)²=a²/4-2=(a²-8)/4

By visual inspection we note that:

- center of circle: O(-a/2, -1)

- radius: r=sqrt((a²-8)/4)=0.5×sqrt(a²-8). This means a²>8 or a>2×sqrt(2)

6 0
3 years ago
To cover a rectangle region of her yard, Penny needs at least 170.5 square feet of sod. The length of the region is 15.5 feet. W
gulaghasi [49]
We know that the perimeter of a rectangle is 2(width)+2(length). We can multiply the length by 2 to find out how much remaining fencing we have, then divide that number by 2 to find the width.

15.5*2=31
170.5-31=139.5
139.5/2=69.75

A possible width is 69.75 feet.
4 0
2 years ago
The data points represent the number of swimmers at
Ronch [10]

Answer:

44 swimmers

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
F(-2) when f(x) = -2x - 3
Vika [28.1K]

Answer:

1

Step-by-step explanation:

f(-2)=-2x-3

plug in the -2

f(-2)= -2(-2) -3

multiply it out

f(-2)= 4-3

subtract

f(-2)= 1

7 0
3 years ago
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