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VARVARA [1.3K]
2 years ago
7

What is 2x - 1 < 3? Solve

Mathematics
2 answers:
Law Incorporation [45]2 years ago
8 0

Answer:

x<2

Step-by-step explanation:

Let's solve your inequality step-by-step.

2x−1<3

Step 1: Add 1 to both sides.

2x−1+1<3+1

2x<4

Step 2: Divide both sides by 2.

2x/ 2 < 4/ 2

x<2

Answer:

x<2

 

Licemer1 [7]2 years ago
4 0

Answer:

x<2

Step-by-step explanation:

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Answer:

12                                        

Step-by-step explanation: 60

8 0
3 years ago
the average rate of change of the function f(x) on the interval -3≤x≤3 is -2.5. If (-3)=14 then which of the following is the va
oksian1 [2.3K]

The average rate of change of <em>f(x)</em> on -3 ≤ <em>x</em> ≤ 3 is given to be

(<em>f</em> (3) - <em>f</em> (-3)) / (3 - (-3)) = -2.5

If <em>f</em> (-3) = 14, then

(<em>f</em> (3) - 14) / (3 + 3) = -2.5

(<em>f</em> (3) - 14) / 6 = -2.5

<em>f</em> (3) - 14 = -15

<em>f</em> (3) = -1

4 0
3 years ago
A line passes through the point, (−8,7) and has a slope of −5/4. Please help...
o-na [289]

Answer:

5x + 4y + 12 = 0

Step-by-step explanation:

Start with the point-slope equation of a straight line:  y - k = m(x -  h):

Here we are given the point (h, k):  (-8, 7) and the slope m = -5/4.  Inserting this info into the equation give above, we get:        y - 7 = (-5/4)(x + 8).

We must put this equation into "standard form" Ax + By + C = 0.

Multiply all three terms by 4 to remove fractions:  4y - 28 = -5(x + 8), or

4y - 28 + 5x + 40 = 0

Rearranging these terms, we get 5x + 4y + 12 = 0, which is the desired equation in standard form.

8 0
3 years ago
Heidi solved the equation 3(x + 4) + 2 = 2 + 5(x – 4). Her steps are below: 3x + 12 + 2 = 2 + 5x – 20 3x + 14 = 5x – 18 14 = 2x
lyudmila [28]

Answer:

See explanation

Step-by-step explanation:

3(x + 4) + 2 = 2 + 5(x – 4)

Step 1: distributive property

3(x + 4) + 2 = 2 + 5(x – 4)

3x + 12 + 2 = 2 + 5x - 20

Step 2: collect like terms

3x + 12 + 2 = 2 + 5x - 20

3x + 14 = 5x - 18

Step 3: Addition property of equality

3x + 14 = 5x - 18

3x + 14 + 18 = 5x - 18 + 18

3x + 32 = 5x

Step 4: subtraction property of equality

3x + 32 - 3x = 5x - 3x

32 = 2x

Step 5: division property of equality

32 = 2x

32/2 = 2x/2

16 = x

x = 16

6 0
2 years ago
Eddie has saved up $45 to purchase a new camera from the local store. The sales tax in his county is 7% of the sticker price. Wr
Papessa [141]
<span>Let the price (before tax) be x. The tax is 7% of x, so it is 0.07x. The price plus the tax add up to $45. x + 0.07x = 45</span>
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