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3 years ago

Solve the inequality. Graph the solution. c9≤−4

Mathematics

1 answer:

Dima020 [189]3 years ago

6 0

Solving the inequality $c9\leq -4$ we get $c\leq \frac{-4}{9}$

The graph is shown in figure attached below.

Step-by-step explanation:

We need to solve the inequality $c9\leq -4$ and graph the solution.

Solving:

$c9\leq -4$

Divide both sides by 9

$c\leq \frac{-4}{9}$

$c\leq -0.44$

The graph is shown in figure attached below.

So, solving the inequality $c9\leq -4$ we get $c\leq \frac{-4}{9}$

Keywords: Graph the inequality

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Jimmy's cedar trunk is in the shape of a rectangular prism and has a volume of 3/4 cubic yard. How many cubic blocks with a side

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Answer: 6 blocks

Step-by-step explanation:

Given

Volume of the rectangular prism is $V=\dfrac{3}{4}\ yd^3$

Length of the cubic block is $a=\dfrac{1}{2}\ yd$

Volume of each cubic block is

$\Rightarrow V_o=\left (\dfrac{1}{2}\right)^3\\\\\Rightarrow V_o=\dfrac{1}{8}\ yd^3$

Suppose, n blocks are required to measure the volume of Prism

$\Rightarrow V=nV_o\\\\\Rightarrow \dfrac{3}{4}=n\cdot \dfrac{1}{8}\\\\\Rightarrow n=\dfrac{3\times 8}{4}\\\\\Rightarrow n=6\ \text{blocks}$

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Use the figure from the example to find the length GH. Assume △DEF ≅ △GHJ.

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What number is equal to the absolute value of -36 ?

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Step-by-step explanation:

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Read 2 more answers

HELP.... please??????????????

Nostrana [21]

Answers:

Functions

y = -x+11
y = 2x^2-6x+4
y = -7

Not functions

x = 3
x^2+y^2 = 81
y^2 = -5x-12

=======================================================

Explanation:

A function is possible if and only if any given x input leads to exactly one y output.

For something like x^2+y^2 = 81, we can see that x = 0 leads to either y = 9 or y = -9. So this would <u>not</u> be a function. We would need x to pair with only y value to have it be a function.

We have the same thing going on with y^2 = -5x-12 as well.

For anything of the form x = k, where k is any real number, this is also not a function. We have one single input only and it leads to infinitely many outputs. So in a sense, this is even worse compared to the other examples.

-----------------

In summary, we have these three non-functions:

x = 3
x^2+y^2 = 81
y^2 = -5x-12

Everything else is a function. You can use the vertical line test as a visual way to check.

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