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4 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]4 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 ⇒ <u>x must be greater than or equal to 4.5</u>

thus, <u>4 is not a solution to the inequality</u> because 4 is less than 4.5

You might be interested in

Voce 2x-u - 1x2-3x+3 = 2

kumpel [21]

Answer:

u=−x2−x+1

Step-by-step explanation:

Let's solve for u.

2x−u−1x^2−3x+3=2

Step 1: Add x^2 to both sides.

−x2−u−x+3+x2=2+x2

−u−x+3=x2+2

Step 2: Add x to both sides.

−u−x+3+x=x2+2+x

−u+3=x2+x+2

Step 3: Add -3 to both sides.

−u+3+−3=x2+x+2+−3

−u=x2+x−1

Step 4: Divide both sides by -1.

−u/−1=x2+x−1

−1/u=−x2−x+1

Answer:

u=−x2−x+1

5 0

3 years ago

the sides of one right triangle are 6,8 and 10.the sides of another right triangle are 10,24 and 26.determine if the triangle ar

valkas [14]

So the ratio must be the same for the triangle to be the same
smallest side of 1 right triangle to smalles side of other right trigle shoudl be same as largest side of 1 right trignale to largest side of other right triangle and also middle side

6:10 should equal 10:26 should equal 8:24
treat as fraction
6/10=10/26=8/24?
3/5=5/13=1/3
we know that 3/5 is not equal to 1/3 so they are NOT SIMILAR

ratios are
3:5
1:3
5:13

the perimiter of the smaller is 6+8+10=24
perimiter of larger is 10+24+26=60
ratio of perimiters larger to smaller is 60:24=5:2

area is 1/2 base times height
longest side=hypotonuse
therefor other 2 sides must be base and height

area of smaller=8 times 6 times 1/2=24

area lf larger=10 times 24 times 1/2=120
ratio of larger ot smaller is 120:24=5:1

not similar

ratio of perimiter larger to smaler=5:2

ratio oif area larger to smaller=5:1

5 0

4 years ago

Kevin started playing with his hamster after school at 3:30 p.m. He stopped playing with his hamster 3/5 hour later. How many mi

Genrish500 [490]

He stop playing with his hamster at 4:06 because 3/5 of an hour is 36 minutes and 36 plus 3:30 is 4:06.

7 0

4 years ago

An engineer is designing a roller coaster. The tallest peak is 310 feet high.

rusak2 [61]

<h2>Hello!</h2>

The answer is:

The slope of the hill is equal to 2.

To solve the problem, we need to remember that the slope of a line, is the rate of increase or decrease of the line.

From the statement we know that the tallest peak of the roller coaster is 310 feet (y), while the roller coaster travels 155 horizontal feet (x), so, calculating we have:

$Slope=\frac{height}{base}=\frac{y}{x}$

Then, substituting the given information and calculating, we have:

$Slope=\frac{310ft}{155ft}=2$

We have that the slope of the hill is equal to 2.

Have a nice day!

4 0

3 years ago

What is office personnel?

Nana76 [90]

Answer:

Office personnel refers to the office chief, sectional chiefs and assistants that carry out all the administrative as well as clerical functions jointly to archive the objectives of an organization.

5 0

3 years ago