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3 years ago

K(2) = 6x + 100 k(-5) =

Mathematics

1 answer:

Effectus [21]3 years ago

8 0

Answer:

Step-by-step explanation:

To evaluate k( -5), substitute x = - 5 into k(x)

k(−5)=(6×-5)+100=−30+100=70

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A bag contains eight batteries, all of which are the same size and are equally likely to be selected. Each battery is a differen

ArbitrLikvidat [17]

Answer:

7*6*5*4*3 = 7P5 = 2520

Step-by-step explanation:

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3 years ago

11/3 can be thought of as a whole number and a fraction.

Nostrana [21]

11/3 = 3 2/3 as a mixed fraction or proprr fraction

6 0

3 years ago

there are 36 pupils in mr. castro mathematics class mr. castro wants to seperate the class into equal group for doing an activit

posledela

Answer:

He can use the factors of 36 to determine the number of groups he can divide the class into such that they are equal.

The Factors (excluding 1) are;

2, 3, 4, 6, 9, 12, 18

Using these therefore he can divide them;

Into 3 groups each with 12 people.
Into 4 groups each with 9 people.
Into 6 groups each with 6 people.
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Into 12 groups each with 3 people.

3 0

3 years ago

28/29 and 30 plz short explanation thanks

zzz [600]

Integers are numbers like ...-3, -2, -1, 0, 1, 2, 3... and so on. So, according to this definition, let's solve this problem:

28. We know that the product of three integers is -3. So, the statement states that we have three factor, so:

a.b.c = -3

The possible values of the factors are:

Factors are: 3, 1 and -1 in which case:

(3)(1)(-1) = -3

Factors are: -3, 1 and 1 in which case:

(-3)(1)(1) = -3

29. In this problem we know two nonzero integers, that is, they cannot be equal to zero. Thus, they must have different sign, that is, one of them must be positive and the other negative. For instance:

-9 and 2

(-9)(2) = -18, So -18 is less than -9 and 2

Another example:

1 and -8

(1)(-8) = -8, So -8 is equal to -8 and -8 is less than 1.

30. The sign of the product of two integers with the same sign is positive, that is:

(+)(+) = (+) and

(-)(-) = (+)

So, the sign of the product of three integers with the same sign are two options:

Option 1. The three integers are positive in which case:

(+)(+)(+) = (+), So the sign of the product is positive

Option 2. The three integers are negative in which case:

(-)(-)(-) = (-), So the sign of the product is negative.

This option two gives us that result because:

(-)(-) = (+) and (+)(-) = (-)

5 0

3 years ago

Solve this problem out

Virty [35]

Option C

When $(2x - 3)^2$ is subtracted from $5x^2$ then the result is $x^2 + 12x - 9$

<h3>Solution:</h3>

Given that $(2x - 3)^2$ is subtracted from $5x^2$

We have to find the result

Subtraction is a mathematical operation that tells us the difference between two numbers.

When "a" is subtracted from "b", we write in mathematical expression as "b - a"

So $(2x - 3)^2$ is subtracted from $5x^2$ is written mathematically as:

$\rightarrow 5x^2 - (2x - 3)^2$

Expanding the above expression using algebraic identity:

$(a-b)^2 = a^2 - 2ab + b^2$

$\rightarrow 5x^2 - ((2x)^2 -2(2x)(3) + (3)^2)\\\\\rightarrow 5x^2 - (4x^2 - 12x + 9)$

Multiplying the nnegative sign with terms inside bracket

There are two simple rules to remember:

When you multiply a negative number by a positive number then the product is always negative.

When you multiply two negative numbers or two positive numbers then the product is always positive.

$\rightarrow 5x^2 - (4x^2 - 12x + 9)\\\\\rightarrow 5x^2 - 4x^2 + 12x -9\\\\\rightarrow x^2 + 12x - 9$

Hence the result is: $x^2 + 12x - 9$

3 0

3 years ago