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stich3 [128]
3 years ago
13

If a number minus 3 is at most 12, or 1 more than 2 times the number is at least 25, then the number must be less than or equal

to 15, or greater than or equal to 12. True or False
Mathematics
1 answer:
dezoksy [38]3 years ago
3 0

Answer:

The statement is true.

Step-by-step explanation:

Let us assume that x is the required number.

Now, given that the number minus 3 is at most 12.

Hence, x - 3 ≤ 12

⇒ x ≤ 15 ......... (1)

And also given that 1 more than 2 times the number is at least 25.

Hence, 2x + 1 ≥ 25

⇒ 2x ≥ 24

⇒ x ≥ 12 .......... (2)

Therefore, from equations (1) and (2) we get the number must be greater than or equal to 12 or less than or equal to 15.

So, the statement is true. (Answer)

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Dimitri wrote the equations y = 3x and y = x + 3.
sweet-ann [11.9K]

Answer: y = 3x (3,6)

Step-by-step explanation:

8 0
3 years ago
Solve for x^2-2x+1=0
seraphim [82]

Answer:

x=1

Step-by-step explanation:

x^2-2x+1=0\\

We will start by using the quadratic formula.

\frac{-(-2)+-\sqrt{(-2)^2-4(1)(1)}}{2(1)}

We will simplify that and get:

\frac{-(-2)}{2(1)}

So our answers would be:

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7 0
2 years ago
Mathematics <br><br> Solving inequality
lions [1.4K]

Answer:

x _> 9 I dont have the symbol on my phone so I just put the greater than sign there

Step-by-step explanation:

1. Subtract 3 from both sides

5x > 48 - 3

2. simplofy 48 - 3 to 45

5x > 45

3. Divide both sides by 5

x > 45/5

4. Then simplify 45/5 to 9 which gives us the answer

And again I dont have the sign thats why I used the greater than sign

3 0
3 years ago
This is what I am supposed to do, I’m confused on what to do on 3,4, and 5. PLEASE HELP ASAP!!!!!! 30 POINTS!!!!!
max2010maxim [7]

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

To calculate m use the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

3

Using (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (- 3, 6)

m = \frac{6-0}{-3-0} = \frac{6}{-3} = - 2

Since the line passes through the origin (0, 0) then y- intercept is 0

y = - 2x ← equation of line

4

let (x₁, y₁ ) = (6, 0) and (x₂, y₂ ) = (0, 3)

m = \frac{3-0}{0-6} = \frac{3}{-6} = - \frac{1}{2}

note the line crosses the y- axis at (0, 3) ⇒ c = 3

y = - \frac{1}{2} x + 3 ← equation of line

5

let (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (-2, - 3)

m = \frac{-3-3}{-2-0} = \frac{-6}{-2} = 3

note the line crosses the y- axis at (0, 3) ⇒ c = 3

y = 3x + 3 ← equation of line

7 0
3 years ago
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