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son4ous [18]
3 years ago
9

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!  

»»————- ★ ————-««

I believe your answer is:  

-6, -7, -8

\boxed{x

»»————- ★ ————-««  

Here’s why:  

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

⸻⸻⸻⸻

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

⸻⸻⸻⸻

  • 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, <em>you can pick </em><u><em>any </em></u><em>number less than -5.</em>

⸻⸻⸻⸻

»»————- ★ ————-««  

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

4 0
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)?
tatyana61 [14]
The x-intercepts are readily identified on the graph:  (2,0) and (4,0).  The midpoint of a line connecting those 2 points would be (3,0).
8 0
2 years ago
Read 2 more answers
Marti is filling a 10– inch diameter ball with sand to make a medicine ball that can be used for exercising. To determine if the
Mice21 [21]

Answer:

Option A. 30\ pounds

Step-by-step explanation:

step 1

Find the volume of the sphere ( medicine ball)

The volume is equal to

V=\frac{4}{3}\pi r^{3}

we have

r=10/2=5\ in ----> the radius is half the diameter

Convert inches to feet

Remember that

1 ft=12 in

r=5\ in=5/12\ ft

assume

\pi=3.14

substitute

V=\frac{4}{3}(3.14)(5/12)^{3}

V=0.3029\ ft^{3}

step 2

Find the weight of the ball

Multiply the volume in cubic foot by 100

0.3029*100=30.29\ pounds

Round to the nearest pound

30.29=30\ pounds

6 0
3 years ago
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