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3 years ago

Write an inequality that represents the fact that while making your product

Mathematics

1 answer:

Helga [31]3 years ago

7 0

Answer:

$x \leq 40 / 0.25\\ x \leq 160\\$

Step-by-step explanation:

If the spending limit is $ 40 and making each beads costs $ 0.25, then the amount of accounts you must do multiplied by the manufacturing cost should not exceed $ 40.

Then the inequation that this restriction would represent is:

$0.25x\leq 40\\$

Where x is the number of beads made.

This could also be written more specifically:

$x \leq 40 / 0.25\\ x \leq 160\\$

Therefore the number of beads must be less than or equal to 160

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pav-90 [236]

$e\cdot e^x -e^{-2}=-2$

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and LHS is always positive.

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3 0

3 years ago

Find the coordinates of the vertex of the following parabola algebraically. Write your answer as an (x,y)(x,y) point.

Serga [27]

Answer:

(8,-3)

Step-by-step explanation:

The given parabola is

$y = - 3 {x}^{2} + 48x - 195$

We factor -3 from the first two terms to get:

$y = - 3( {x}^{2} - 16x) - 195$

Add and subtract the square of half the coefficient of x

$y = - 3( {x}^{2} - 16x + 64) + 3 \times 64- 195$

$y = - 3 {(x - 8)}^{2} + 192 - 195$

We simplify to get:

$y = - 3 {(x - 8)}^{2} - 3$

We compare this to y=a(x-h)²+k,

The vertex is (h,k)=(8,-3)

3 0

3 years ago

A sandbox in the shape of a rectangular prism is 2 feet deep and 6 feet wide. Filled to the top it can hold 72 cubic feet of san

Sedbober [7]

Answer:

height=6 ft

Step-by-step explanation:

-The volume of a rectangular prism is given by the formula:

$V=lwh$

#We make h the subject of the formula the solve for it:

$V=lwh\\\\\frac{V}{lw}=h\\\\\therefore h=\frac{V}{lw}$

#Substitute to solve for height:

$h=\frac{V}{lw}\\\\=\frac{72}{2\times 6}\\\\=6\ ft$

Hence, the prism has a height of 6 ft.

6 0

3 years ago

What is 42= -7 × (z - 3)?

Agata [3.3K]

Answer:

z=-3

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Help please!!!! Asap!! math whizzes!!!

Katyanochek1 [597]

Answer:

$5xy^3 \sqrt{3x}$

Step-by-step explanation:

The radical $\sqrt{75x^3y^6}$ can be simplified by breaking it down into factors and removing the perfect squares from inside the radical.

$\sqrt{75x^3y^6} =\sqrt{3*25*x^2*x*y^6} =5xy^3 \sqrt{3x}$

25 is a perfect square and is 5 outside the radical.

$x^2$ is a perfect square and is x outside the radical.

$y^6$ is a perfect square and is $y^3$ outside the radical.

7 0

3 years ago