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uranmaximum [27]
3 years ago
8

-1/3x+2x=3 3/4 what does the variable represent?

Mathematics
2 answers:
svet-max [94.6K]3 years ago
4 0
Start off by combining like terms on the LHS (the terms with x in them).

So we get \frac{-1}{3}x+2x= \frac{-1}{3}x+ \frac{6}{3}x= \frac{-5}{3}x

Replacing this result with what we had before on the LHS, we get \frac{-5}{3}x=3 \frac{3}{4}= \frac{9}{4}

⇒Solve for x (divide both sides \frac{-5}{3})
⇒Don't forget about reciprocity rules when dividing.  This is the same as multiplying both sides by \frac{3}{-5}

⇒x= \frac{9}{4}( \frac{3}{-5})

⇒x= -\frac{27}{20}=-1\frac{7}{20} ***This is a proper fraction
katrin2010 [14]3 years ago
4 0
Add -1/3x and 2x and you get 5/3. Then your equation is 5/3 = 3 3/4. Turn 3 3/4 into a fraction and you get 15/4. Multiply both sides by 3/5 and you have x = 9/4

So the variable represents 9/4
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The deck of a bridge is suspended 275 feet above a river. If a pebble falls off the side of the bridge, the height, in feet, of
Ivenika [448]

Answer:

Our equation for the height is:

y(t) = 275 - 16*t^2.

a) To find the average velocity between two times, t1 and t2, (where t2 > t1) the equation is:

AV = \frac{y(t2) - y(t1)}{t2 - t1}

Then:

i) t1 = 4s, t2 = 4s + 0.1s = 4.1s

The average velocity is:

AV = \frac{(275 - 16*4.1^2) - (275 - 16*4^2)}{4.1 - 4} = \frac{16(4^2 - 4.1^2)}{0.1} = -129.6

And the units will be ft/s, so the average speed is:

-129.6 ft/s

The minus sign is because te pebble is falling down.

ii)  t1 = 4s, t2 = 4s + 0.05s = 4.05s

The average velocity is:

AV = \frac{(275 - 16*4.05^2) - (275 - 16*4^2)}{4.05 - 4} = \frac{16(4^2 - 4.05^2)}{0.05} = -128.8

So the average speed is -128.9 ft/s

iii)  t1 = 4s, t2 = 4s + 0.01s = 4.01s

The average speed is:

AV = \frac{(275 - 16*4.01^2) - (275 - 16*4^2)}{4.01 - 4} = \frac{16(4^2 - 4.01^2)}{0.01} = -128.16

The average speed is -128.16 ft/s.

b) The instantaneous velocity of the pebble after 4 seconds can be obtained by looking at the velocity equation, that is the derivative of the height equation.

v(t) = dy(t)/dt.

v(t) = -2*16*t + 0

Then the velocity at t = 4s is:

v(4s) = -32*4 = -128

The instantaneous velocity at t = 4s is -128 ft/s.

3 0
3 years ago
Geometry help wanted will give 50 points .
Dvinal [7]
Okay, I will try to help you the best I can!!
8 0
3 years ago
What is the y-axis in math?​
Oduvanchick [21]

Answer:

y-axis. noun

Step-by-step explanation:

a reference axis, usually vertical, of a graph or two- or three-dimensional Cartesian coordinate system along which the y- coordinate is measured.

8 0
2 years ago
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stiv31 [10]

Answer:

<h3>Step-by-step explanation:</h3>

A)answer: A cross section is the two-dimensional shape that results from cutting a three-dimensional with a plane.

B)answer: A cross section is the face you obtain by making a "slice" through a solid object. A cross section is two-dimensional. ... When a plane intersects a solid figure, the cross sectional face may be a point, a line segment, or a two-dimensional shape such as, but not limited to, a circle, rectangle, oval, or hexagon.

5 0
3 years ago
Simplify the expression (x - 2y) + (3x + 4y)
CaHeK987 [17]

Simplifying the expression (x - 2y) + (3x + 4y).

Work:

(x - 2y) + (3x + 4y)

Combine like terms.

x + 3x = 4x

-2y + 4y = 2y

Reform the expression.

4x + 2y

Simplified Expression: 4x + 2y.

8 0
3 years ago
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