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3 years ago

The inequality 7-2/3 < x-8 is equivalent to

Mathematics

1 answer:

inn [45]3 years ago

5 0

X>43/3

Or X>29/3

Depending if you mean (7-2)/3 or 7-(2/3)

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Which equation represents a line that has a slope of Negative one-half and passes through point (4, –5)? y = negative one-half x

Anni [7]

Answer:

y = (-1/2)x - 3

Step-by-step explanation:

Please present the equation symbolically instead of in words:

m = -1/2, passing through (4, -5):

Using the slope-intercept formula y = mx + b, and using m = -1/2, x = 4 and y = -5, we get:

-5 = (-1/2)(4) + b, or -5 = -2 + b. Then b = -3 and the desired equation is:

y = (-1/2)x - 3

3 0

3 years ago

Read 2 more answers

Which equation represents a line which is perpendicular to the line 2x + y = -5?

Gnesinka [82]

Step-by-step explanation:

Given expression;

2x + y = -5;

The given equation must be written in a form where the slope is the negative inverse of the given one.

A line perpendicular to another will have a negative inverse slope.

2x + y = -5

Equation of a straight line is generally written as;

y = mx + c

y and x are the coordinates

m is the slope

c is y - intercept

2x + y = -5

y = -2x -5

The slope of the perpendicular = $\frac{1}{2}$

So,

the new line;

y = $\frac{1}{2}$ x -5

Any line with slope of $\frac{1}{2}$ will be perpendicular

7 0

3 years ago

Which scenario best matches the linear relationship expressed in the equation y = 32x + 80? (4 points)

garri49 [273]

Each day the amount increases by $32 and at days=0 he had $80 so:

b. Joseph has $80 in his bank account and earns $32 each day.

7 0

4 years ago

A rectangular tank that is 2048 ft cubed with a square base and open top is to be constructed of sheet steel of a given thicknes

lyudmila [28]

Answer:

Step-by-step explanation:

Let the total surface area of the rectangular tank be S = 2LW+2LH+2WH where;

L is the length of the box

W is the width of the box

H is the height of the box.

Since the box is openend at the top, S = lw + 2lh+ 2wh

If the base is a square base then, l = w

S = l(l) + 2wh+2wh

S = l²+4wh ............... 1

If volume = lwh

lwh = 2028 ft³

wh = 2048/l ................ 2

Substitute equation 2 into 1;

S = l²+4(2048/l)

S = l²+8192/l

dS/dl = 2l - 8192/l²

If dS/dl = 0 (since we are looking for dimensions of the tank with minimum weight.)

2l - 8192/l² = 0

2l = 8192/l²

2l³ = 8192

l³ = 8192/2

l³ = 4096

l =∛4096

l = 16 ft

Since the length is equal to the width, hence the width = 16ft (square based tank)

Given the volume V = lwh = 2048

lwh = 2048

16*16*h = 2048

256h = 2048

divide both sides by 256

256h/256 = 2048/256

h = 8ft

<em>Hence, the dimensions of the tank with minimum weight is 16ft by 16ft by 8ft.</em>

4 0

3 years ago

The table below represents a breakdown of food costs for Eddie, a traveling

malfutka [58]

The answer should be A

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3 years ago