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3 years ago

Is x=4 a solution to the equation 6=x+2? Is it a solution to the inequality 2x≥9?

Mathematics

1 answer:

jek_recluse [69]3 years ago

3 0

Answer:

Is x = 4 a solution to the equation 6 = x + 2? YES

Is x = 4 a solution to the inequality 2x ≥ 9? NO

Step-by-step explanation:

Is x = 4 a solution to the equation 6 = x + 2? YES

we cans solve the equation 6=x+2 by clearing for x:

6 = x + 2

we move the +2 on the right as a -2 to the left:

6 - 2 = x

4 = x

this way we find that indeed x = 4 is a solution to 6 = x + 2.

Is x = 4 a solution to the inequality 2x ≥ 9? NO

Let's solve the inequality by clearing for x:

2x ≥ 9

we move the 2 that is multiplying on the left to divide on the right side:

x ≥ 9/2

x ≥ 4.5 ⇒ x must be greater than or equal to 4.5

thus, 4 is not a solution to the inequality because 4 is less than 4.5

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What does the ' mean in 12 degrees and 15'

tino4ka555 [31]

The "mean" is the "average" you're used to, where you add up all the numbers and then divide by the number of numbers. The "median" is the "middle" value in the list of numbers.

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3 years ago

What is the product of 5.06 and 2.1

Oksana_A [137]

Answer:

10.626

Step-by-step explanation:

There's multiple ways to go about it. See how

5.06 * 2.1 = (5 + 0.06)(2 + 0.1) = 5*2 + 0.06*2 + 5*0.1 + 0.06*0.1 =

= 10 + 0.12 + 0.5 + 0.006 = 10.626

Please notice how breaking up the product into smaller parts has let us make all the computations without too much hassle.

7 0

2 years ago

Read 2 more answers

3.1 Find the equation of the line passing through (4, 5) and parallel to the line 3x – 2y = 4.

valentinak56 [21]

$\rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}$

Find the equation of the line passing through (4, 5) and parallel to

3x-2y=4.

$\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}$

First of all, We need to convert this equation from standard form (ax+by=c) into slope-intercept form (y=mx+b).

$\rightarrow$ First, add 2y on both sides:-

$\Large\textsf{3x+2y=4}$

$\rightarrow$ Now, subtract 3x on both sides:-

$\Large\textsf{2y=-3x+4}$

$\rightarrow$ Divide by 2 on both sides

$\Large\text{$y=-\displaystyle\frac{3}{2}x +2$}$

$\rule{300}{3}$

Now, let's find the equation of the line that's parallel to the given line.

Remember, if lines are parallel to each other, then their slope's the same.

So the slope of the line that's parallel to the line whose equation we just found, is

$\Large\text{$-\displaystyle\frac{3}{2}$}$

Now let's write the equation in point-slope form:-

$\hookrightarrow\sf{y-y_1=m(x-x_1)}$

Replace numbers with letters, as follows:-

$\sf{y-5=-\displaystyle\frac{3}{2} (x-4)}$

The equation above is the equation in point-slope form.

Incase you need it converted to slope intercept form, refer to the steps below ~

Multiply -3/2 times x and -4:-

$\hookrightarrow\sf{y-5=-\displaystyle\frac{3}{2} x-6}$

Now, Add 5 on both sides:-

$\hookrightarrow\sf{y=\displaystyle\frac{3}{2} x+1}$

$\Uparrow\sf{Our\:equation\:in\:slope\;intercept\;form}$

<h3>Good luck with your studies.</h3>

#TogetherWeGoFar

$\rule{300}{1}$

4 0

2 years ago

Kenny bought 20 packs of baseball cards. There are 12 cards in rack pack. How many cards did Kenny buy?

uranmaximum [27]

If Kenny bought 20 packs of baseball cards and there are 12 cards in a pack, you can calculate how many cards did Kenny buy using the following steps:

20 packs of cards * 12 cards in a pack = 20 * 12 = 240 cards

Result: Kenny bought 240 cards.

6 0

3 years ago

Read 2 more answers

HELP ME PLEASE !!!!!!

koban [17]

Answer:

13.08

Step-by-step explanation:

Step 1: find the sum of all numbers

= 104.65

Step 2: divide by how many values there are

Step 3: solve

104.65 ÷ 8 = 13.08125....

Step 4: round to the hundredths place

= about 13.08

5 0

3 years ago

Read 2 more answers