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3 years ago

Solve for x and graph the solution on the number line below.

Mathematics

2 answers:

Goshia [24]3 years ago

8 0

Answer:

x ≥ 4

Step-by-step explanation:

Multiply to remove the fraction, then set equal to 0 and solve.

Inequality Form:

x ≥ 4

Interval Notation:

[ 4 , ∞ ]

The graph will be a horizontal line.

Komok [63]3 years ago

7 0

Answer:

See image

Step-by-step explanation:

"Solve for x" means get the x all by itself. So multiply by -2 on both sides of the inequality. When you multiply by a negative number like that ***!!!*** its VERY important that you reverse the inequality symbol in the math sentence.

x/-2 <= -2

(-2) x/-2 <= -2 (-2)

x >= 4

This sentence can now be graphed on a number line. It says 'all the numbers bigger than four or equal to four' See image for graph.

Since there is an equal to bar under the greater (less) than symbol. You use a closed dot (sometimes higher level math classes want you to use a square bracket instead [ The closed dot or square bracket means the four is included in the answer. The arrow goes to the right, because those are all the numbers bigger than four.

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sarah spent a total of 10 on oranges and apples at the supet market. if she spent 3 dollars less for oranges than she did on app

beks73 [17]

Let's write 2 equations from the two statements given.

<em>Sarah spent 10 dollars on both oranges and apples</em>

<em />

Let the price of oranges be "x" and price of apples be "y", thus we can write:

$x+y=10$

Oranges cost 3 less than apples, thus we can say:

$y-3=x$

We can substitute this into the first equation and solve for y:

$\begin{gathered} x+y=10 \\ y-3+y=10 \\ 2y=10+3 \\ 2y=13 \\ y=\frac{13}{2} \\ y=6.5 \end{gathered}$

Thus, let's solve for x now,

$\begin{gathered} x=y-3 \\ x=6.5-3 \\ x=3.5 \end{gathered}$

We want the price of oranges (x), thus,

<em>Price of Oranges = $3.50</em>

3 0

1 year ago

Which equation shows a valid step in solving /2x-6+2x+6=0?

AfilCa [17]

An equation which shows a valid step that can be used to solve the given mathematical equation is $(\sqrt[3]{2x - 6})^3 = (-\sqrt[3]{2x + 6})^3$

<h3>What is an equation?</h3>

An equation simply refers to a mathematical expression that can be used to show the relationship existing between two (2) or more numerical quantities.

In this exercise, you're required to show a valid step which can be used to solve the given mathematical equation. Since both equations are having a cube root, the first step is to take the cube of both sides.

Take the cube of both sides, we have:

$\sqrt[3]{2x - 6} + \sqrt[3]{2x + 6} = 0\\\\(\sqrt[3]{2x - 6})^3 + (\sqrt[3]{2x + 6})^3 = 0^3\\\\(\sqrt[3]{2x - 6})^3 = (-\sqrt[3]{2x + 6})^3$

Read more on equations here: brainly.com/question/13170908

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2 years ago

The area of a square garden is 50 m3. How long is the diagonal?

katen-ka-za [31]

Answer:

10 m

Step-by-step explanation:

If the area of a square is 50 m2, then the length of each side will be $\sqrt{50}$ m, to get the diagonal length, after dividing the square by joining the points of the diagonal with a line, it forms two right angles with length $\sqrt{50}$ m each.