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AVprozaik [17]
3 years ago
14

What is a solution to 4x+6<(with a line under it ) 18

Mathematics
1 answer:
JulsSmile [24]3 years ago
7 0

Answer:

\textbf{$x \in (-\infty, 3] $}\\

Step-by-step explanation:

\textup{Given:}\\$ 4x + 6 $\textup{Subtracting $6$ from both the sides }\\$ 4x \leq 18 - 6 \hspace{5mm} (=12) $\\\textup{Dividing by $4$ on both the sides: \hspace{15mm} [Note that the sign of the inequality changes only when we divide it by a negative number]}\\$$ x \leq 3 $$\\\textup{$x$ can be any real number less than or equal to 3.}\\$ \iff x \in R^- \cup \{a : 0 \leq a \leq 3\} $

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3x-6y=6 in function notation
JulijaS [17]
Subtract 3x from both sides:

-6y = -3x + 6

divide both sides by -6 to get y by itself:

y = 1/2x - 1

function notation is rewriting y as a function:

f(x) = 1/2x -1
3 0
3 years ago
Given one factor of the polynomial, factor the polynomial completely.
astraxan [27]

Answer:

The factors are (x  - 1)(x - 5)(x + 2).

Step-by-step explanation:

Long division:

x - 5 )x^3 - 4x^2 - 7x + 10( x^2 + x - 2 <--------- Quotient.

        x^3 - 5x^2

                   x^2 - 7x

                    x^2 - 5x

                           - 2x + 10

                            -2x + 10

                              ...........

x^ 2 + x - 2 = (x + 2)(x - 1).

7 0
3 years ago
Helppppppp pleaseee
Viktor [21]

Answer:

x=2\sqrt{5}

Step-by-step explanation:

If that is a square, then all sides are the same. Therefore, it's a \sqrt{10} by \sqrt{10} shape. We'll use Pythagorean Theorem to find the diagonal.

a^2+b^2=c^2\\\sqrt{10}^2+ \sqrt{10}^2=x^2\\10+10=x^2\\20=x^2\\\sqrt{20}=x\\\sqrt{4*5}=x\\ 2\sqrt{5}=x

Since it's not a fraction, there is no denominator to rationalize. Let me know if you have any other questions!

5 0
2 years ago
Suppose you draw a card from a well-shuffled deck of 52 cards. Find each of the following odds.
garik1379 [7]
1)  number of cards that aren't : number of cards that are 3
we have 48 cards that arent 3 and 4 cards that are. that means that odds are:
12:1 of not drawing 3

2) fallow same logic. its just opposite.
1:12

3) same logic. but there are only 2 black 7 cards which means that odds are:
50:2 or
25:1

4) opposite of previous.
1:25

6 0
3 years ago
Read 2 more answers
4) During a school carnival, students from the middle school raised money by selling crafts, food, game tickets, and school play
ioda

$225 was earned from the craft sales

and $40 was earned from the play.

Given, During a school carnival, students from the middle school raised money by selling crafts, food, game tickets, and school play admissions.

Of each dollar earned, $0.15 came from games. Craft sales earned 3 times as much as games. Food sales were 4 times the amount earned from the play.

Let the amount earned by play be x,

Now, Games earned = 0.15×500 = $75

Also, crafts earned 3×75 = $225

Now, as play earned x, then food earned 4x.

According to question,

x + 75 + 225 + 4x = 500

5x + 300 = 500

5x = 200

x = 40

So, the amount earned by Play be, $40

and the amount earned by Food be $160.

Hence, $225 was earned from the craft sales

and $40 was earned from the play.

Learn more about Linear Equations here brainly.com/question/24085666

#SPJ1

5 0
1 year ago
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