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3 years ago

The equation of a line is 4x-3y=-24 what is the x-intercept of the line

1 answer:

hjlf3 years ago

4 0

The x intercept is there point where y is 0, so plug 0 in for y and solve for x
4x-3(0)=-24
4x=-24
x=-6

the x intercept is the point (-6,0)

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A small business employs 98 people. All of the employees work for 8 hours a day, 5 days a week. Eleven of the employees receive

GREYUIT [131]

98 people get $30 per hour, and 11 get an additional $15 per hour. Then the total payroll per hour is
.. $(98*30 +11*15) = $3105

So, the payroll for a 40-hour week is
.. 40*$3105 = $124,200

4 0

2 years ago

Read 2 more answers

Which list shows the runners in order by their completion times from fastest to slowest

gogolik [260]

Answer:

answer is D

Step-by-step explanation:

12+1/2=12.5 12+2/5=12.4

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2 years ago

A rectangular storage container with an open top is to have a volume of 24 cubic meters. The length of its base is twice the wid

Mariana [72]

Answer:

419.25

Step-by-step explanation:

The calculation of the cost of materials for the cheapest such container is shown below:-

We assume

Width = x

Length = 2x

Height = h

where, length = $2 \times width$

Base area = lb

= $2x^2$

Side area = 2lh + 2bh

= 2(2x)h + 2(x)h

= 4xh + 2xh

Volume = 24 which is lbh = 24

$h = \frac{24}{2x^2} \\\\ h = \frac{12}{x^2}$

Now, cost is

$= 13(2x^2) + 9(4xh + 2xh)\\\\ = 13(2x^2) + 9(4x + 2x)\times \frac{12}{x^2} \\\\ = 26x^2 + \frac{648}{x}$

now we have to minimize C(x)

So, we need to compute the C'(x)

$= 52x - \frac{648}{x^2}$

C"(x) $= 52x - \frac{1,296}{x^3}$

now for the critical points, we will solve the equation C'(x) = 0

$= 52x - \frac{648}{x^2} = 0\\\\ x = \frac{648}{52}^{\frac{1}{3}}$

$C" = ((\frac{648}{52} ^{\frac{1}{3} } = 52 + \frac{1296}{(\frac{648}{52})^\frac{1}{3} )^3}\\\\ = 52 + \frac{1296}{\frac{648}{52} } >0$

So, x is a point of minima that is

= $(\frac{648}{52} )^\frac{1}{3}$

Now, Base material cost is

$= 13(2x^2)\\\\ = 26(\frac{648}{52} )^\frac{2}{3}$

= 139.75

Side material cost is

$= \frac{648}{x} \\\\ = \frac{648}{(\frac{648}{52})^\frac{1}{3} }$

= 279.50

and finally

Total cost is

= 139.75 + 279.50

= 419.25

4 0

2 years ago

35+7x=-3(-5-4x) what is the answer?

____ [38]

Answer:

-5x=-50

x=-10

Step-by-step explanation:

4 0

3 years ago

The sum of 3 consecutive even numbers is 270 what is the first number in this sequence?

ad-work [718]

See picture for answer and solution steps.

6 0

2 years ago

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