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Norma-Jean [14]
3 years ago
11

Identify the y-intercept of y=4x - 2/3

Mathematics
2 answers:
stepan [7]3 years ago
8 0

The y-intercept of the equation y = 4x - 2/3 is 2/3.

kaheart [24]3 years ago
4 0

Answer:

y- intercept = - \frac{2}{3}

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 4x - \frac{2}{3} ← is in slope- intercept form

with y- intercept c = - \frac{2}{3}

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-4.7 divided by 1\4 ????????????????
Nady [450]

Answer:

-18.8

Step-by-step explanation:

1/4 as a decimal is 0.25 so then if you divide -4.7 by 0.25 the answer is -18.8 :)

I hope this helped :)

3 0
3 years ago
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A rectangular package sent by a postal service can have a maximum combined length and girth (perimeter of a cross sectio) of 108
Morgarella [4.7K]

Answer:

The maximum volume of the package is obtained with a cross section of side 18 inches and a length of 36 inches.

Step-by-step explanation:

This is a optimization with restrictions problem.

The restriction is that the perimeter of the square cross section plus the length is equal to 108 inches (as we will maximize the volume, we wil use the maximum of length and cross section perimeter).

This restriction can be expressed as:

4x+L=108

being x: the side of the square of the cross section and L: length of the package.

The volume, that we want to maximize, is:

V=x^2L

If we express L in function of x using the restriction equation, we get:

4x+L=108\\\\L=108-4x

We replace L in the volume formula and we get

V=x^2L=x^2*(108-4x)=-4x^3+108x^2

To maximize the volume we derive and equal to 0

\dfrac{dV}{dx}=-4*3x^2+108*2x=0\\\\\\-12x^2+216x=0\\\\-12x+216=0\\\\12x=216\\\\x=216/12=18

We can replace x to calculate L:

L=108-4x=108-4*18=108-72=36

The maximum volume of the package is obtained with a cross section of side 18 inches and a length of 36 inches.

4 0
3 years ago
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5. Is s = 8 a solution to the inequality below? a) s < 2​
JulijaS [17]

Answer:

Step-by-step explanation:

no, as 8 is not <2

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2 years ago
Get as many people to answer this question will give brainiest for free!!!!
Yuki888 [10]

Answer:

how tho. people I summon y'all lol

8 0
3 years ago
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What is 33 over 40 equal
Deffense [45]
Fraction simplified:33/40
Decimal:0.825
Percent:82.5
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3 years ago
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