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3 years ago

Here is an inequality: -2x > 10 List 3 values for x that would make this inequality true.

Mathematics

1 answer:

solong [7]3 years ago

3 0

Hi there!

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I believe your answer is:

-6, -7, -8

$\boxed{x$

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Here’s why:

We first need to solve the inequality for 'x' using inverse operations.

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$\boxed{\text{Solve for 'x':}}\\\\-2x>10\\--------\\\rightarrow\frac{-2x>10}{-2}\\\\\rightarrow\boxed{x$

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Any number less than the value of -5 would be a solution to the given inequality.
Some examples would be: -6, -7, -8, but as mentioned, you can pick any number less than -5.

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Hope this helps you. I apologize if it’s incorrect.

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Distance between points (7,6) (-3,-1)

GaryK [48]

Answer:

Step-by-step explanation:

(7,6) (-3,-1)

(x1,y1) (x2,y2)

$Distance=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\\\\=\sqrt{(-3-7)^{2}+(-1-6)^{2}}\\\\=\sqrt{(-10)^{2}+(-7)^{2}}\\\\=\sqrt{100+49}=\sqrt{149}\\\\=12.21$

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3 years ago

Which statement is true about the extreme value of the given quadratic equation?

ICE Princess25 [194]

Answer:

Option B. The equation has a maximum value with a y-coordinate of -21.

Step-by-step explanation:

The correct quadratic equation is

$y=-3x^{2}+12x-33$

This is a vertical parabola open downward (the leading coefficient is negative)

The vertex represent a maximum

Convert to vertex form

Factor -3

$y=-3(x^{2}-4x)-33$

Complete the square

$y=-3(x^{2}-4x+2^2)-33+12$

$y=-3(x^{2}-4x+4)-21$

Rewrite as perfect squares

$y=-3(x-2)^{2}-21$

The vertex is the point (2,-21)

therefore

The equation has a maximum value with a y-coordinate of -21

3 0

2 years ago

Chelsea bought a computer on Monday for $1,300. Its value is predicted to decrease by $250 per year. Her brother George also bou

Elenna [48]

Answer:

The correct answer is B. George’s computer is expected to have a value of $25 greater.

Step-by-step explanation:

Since Chelsea bought a computer on Monday for $ 1,300, and its value is predicted to decrease by $ 250 per year, while her brother George also bought a computer on Monday, and the function g (x) = 1,100 - 175x predicts how the value of his computer is expected to change after x years, to determine whose computer is expected to have a greater value when it is 3 years old, and how much greater will it be, the following calculation must be performed:

Chelsea:

1,300 - (250 x 3) = X

1,300 - 750 = X

550 = X

George:

1,100 - (175 x 3) = X

1,100 - 525 = X

575 = X

Therefore, George’s computer is expected to have a value of $ 25 greater.

7 0

2 years ago

What is the midpoint of the x-intercepts of f(x) = (x – 2)(x – 4)?