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2 years ago

Which numbers are solutions to the inequality 2x – 1 > x + 2? Check all of the boxes that apply

Mathematics

1 answer:

muminat2 years ago

6 0

Answer:

x>3

Step-by-step explanation:

2x – 1 > x + 2

2x-x-1>2

x-1 >2

x>3

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A fish tank holds at most 125 gallons of water. The tank already has 20 gallons of water in it when Ian begins to fill it at a r

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3 years ago

This graph shows fuel consumption for a car during a test run. Three of the statements are true. Which is NOT?

diamong [38]

The answer I got was C = The car used 70 gallons of gas to go 3 miles.

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3 years ago

Find the perimeter of pentagon STUVW WITH VERTICES S(0,0) T(3,-2) U(2,-5) V(-2,-5) W(-3,-2)

andrew11 [14]

Use the distance formula.

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

Points S and W.
$\sqrt{(3)^2 + (2)^2}$

$\sqrt{9+4}$

$\sqrt{13}$

~3.6

Points S and T
$\sqrt{(3 - 0)^2 + (-2 - 0)^2}$

$\sqrt{(3)^2 + (-2)^2}$

$\sqrt{9+4}$

$\sqrt{13}$

~3.6

Points T and U
$\sqrt{(3 - 2)^2 + (-2 + 5)^2}$

$\sqrt{(1)^2 + (3)^2}$

$\sqrt{1+9}$

$\sqrt{10}$

~3.1

Points U and V
$\sqrt{(2+2)^2 + (-5 + 5)^2}$

$\sqrt{(4)^2 + (0)^2}$

$\sqrt{16}$

~4

Points V and W
$\sqrt{(-2+3)^2 + (-5 + 2)^2}$

$\sqrt{(1)^2 + (-3)^2}$

$\sqrt{2+9}$

$\sqrt{11}$

~3.3

Add all these together.

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≈17

4 0

3 years ago

Hello I would really appreciate if someone could help me with this math question. I’m so confused

Katarina [22]

Answer:

a. f = 17.5/c

b. 8.75 N

Step-by-step explanation:

Inverse variation means one variable is proportional to the inverse of the other. The equation for that is ...

f = k(1/c) . . . . . . force (f) is proportional to the inverse of distance (c)

We find the value of k using data given for a specific instance.

3.5 N = k(1/(5 cm)) . . . . use the given values

17.5 N·cm = k . . . . . . multiply by the denominator

Then the equation of interest is ...

f = 17.5/c . . . . . . . where c is in cm, and f is in newtons

Using the above equation, we find the force to be ...

f = 17.5/2 = 8.75 . . . . newtons

_____

<em>Additional comment</em>

We often look at several different kinds of proportionality:

y = kx . . . . direct
y = k(1/x) . . . . inverse
y = kx² . . . . proportional as the square
y = kx·z . . . . jointly proportional to x and z

and there are combinations of these, such as ...

y = kr²h . . . . jointly proportional to h and the square of r

You may have noticed that when x and y are inversely proportional, their product is a constant. y = k/x ⇒ xy = k

We have left off the units of k in the problem above. Sometimes it is a good idea to retain them, or to pay close attention to what they are. This can avoid using the wrong measures for the variables.

f = (17.5 N·cm)/(2 cm) = 8.75 N . . . . . units of cm cancel

4 0

2 years ago

Answer the following question. 10 points!

Illusion [34]

The right answer may be option 4

8 0

3 years ago

Read 2 more answers