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1 year ago

12. Suppose n is an integer. Select all statements below that are true:

Mathematics

1 answer:

Novay_Z [31]1 year ago

6 0

Answer:

True statements

n is always an even integer when n is even
n is never an even integer when n is odd
n is sometimes an even integer

Step-by-step explanation:

Integer: a whole number that can be positive, negative, or zero
e.g. ...-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5 ...

True statements

n is always an even integer when n is even
n is never an even integer when n is odd
n is sometimes an even integer

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Does the point (-9,-4) satisfy the equation y = x + 5?

ozzi

Answer:

Yes it satisfies the equation

Step-by-step explanation:

Let, P(x,y) = (-9,-4)

Then, x = -9

y = -4

if we use this value in the equation, we will get L.S = R.S ;(-4 = -9 + 5)

So, the point satisfies the equation

Hope you have understood this

Pls mark my answer as the brainliest

5 0

2 years ago

A pigpen is to be enclosed using 640 m of fencing along three of its sides, the fourth side being a barn. Determine the dimensio

Basile [38]

Answer:

$W_{max}=480m\\ L_{max}=160m$

Step-by-step explanation:

Since we know we only have 640 feet of fence available, we know that L + W + L = 640, $\implies$ 2L + W = 640. This allows us to represent the width, W, in terms of L: W = 640 – 2L

Remember, the area of a rectangle is equal to the product of its width and length, therefore,

$A_{\rm pigpen}=L(640-2L)\implies 640L-2L^2$

Notice that, quadratic has been vertically reflected, since the coefficient on the squared term is negative, so the graph will open downwards, and the vertex will be a maximum value for the area.

recall,

$x_{max}=-b/2a$
$f(x)_{max}=f(x_{max})$

Since our function is A(L)=640L-2L², we get

a=-2
b=640

plug in the value of a and b into the first formula:

$L_{max}=-(640)/2(-2)\implies 160$

$A(L)_{max}=640(160)-2(160)^2\implies 76800$

hence,the dimensions of the pen that will maximize the area are L=160m and W=76800/160=480m

and we're done!

3 0

2 years ago

Please answer this. thank you

Rama09 [41]

Answer: $(-\infty, -4]$

Curved parenthesis at negative infinity

Square bracket at -4

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

Work Shown:

$5(x+4) \le 0 \\\\x+4 \le \frac{0}{5} \\\\x+4 \le 0 \\\\x \le 0-4 \\\\x \le -4 \\\\$

The last inequality shown above is the same as saying $-\infty < x \le -4$

Converting this to interval notation leads to the final answer of $(-\infty , -4]$

Note the use of a square bracket at -4 to include this endpoint. We can never include either infinity, so we always use a parenthesis for either infinity.

5 0

2 years ago

The length of a rectangle is 2x+1 and the width is 4x-3. Write an expression to calculate the area. (Note: Area= length • width)

maw [93]

(4x-3)(2x+1) expand the brackets: 8x^2 -2x -3 = area

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2 years ago

A beaker contains 0.5 liter of solution.Jordan uses 0.08 of the solution for an experiment.How much of the solution does Jordan

schepotkina [342]

I feel like this is a trick question

In the question it states "Jordan uses 0.08 of the solution for an experiment"

Which means that the answer is 0.08. Jordan uses 0.08 of the solution

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2 years ago