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Scilla [17]
3 years ago
7

2.4x-9 < 1.8x+6 solve the inequality

Mathematics
1 answer:
nasty-shy [4]3 years ago
8 0

Answer:

x<25

Step-by-step explanation:

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

2.4x−9<1.8x+6

Step 1: Subtract 1.8x from both sides.

2.4x−9−1.8x<1.8x+6−1.8x

0.6x−9<6

Step 2: Add 9 to both sides.

0.6x−9+9<6+9

0.6x<15

Step 3: Divide both sides by 0.6

0.6x/0.6 < 15/0.6

x<25

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The sum of a certain number and -3.4 is -8.1 find the number​
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8 0
3 years ago
a group of hikers park there trail head and hike into the forest to a campsite. The next morning they head out on a hike from th
tiny-mole [99]

Answer: The campers will be 40\ miles from their car after 12 hours.

Step-by-step explanation:

<h3> The missing graph is attached.</h3>

The equation of the line in Slope-Intercept form is:

y=mx+b

Where "m" is the slope and "b" the y-intercept.

We can pick two points on the line graphed and substitute the coordinates into this formula to find the slope:

m=\frac{y_2-y_1}{x_2-x_1}

Choosing the points (0,4) and (2,10), we get:

m=\frac{4-10}{0-2}=3

We can susbstitute the point (0,4) and the slope into y=mx+b and solve for "b":

4=3(0)+b\\\\b=4

Then, the equation of this line is:

y=3x+4

Since the distance in miles is represented on the y-axis and the time in hours is represented on the x-axis. we can rewrite the equation as:

d=3h+4

Finally, in order to calculate the distance in miles that the campers will be from their car after 12 hours, we need to subsitute h=12 into the equation and evaluate. Then we get:

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4 0
3 years ago
What is the equation of a line passing through (-6, 5) and having a slope of 1/3 ? A. B. C. D. y = 3x + 7
stepan [7]

Answer:

y = 1/3 x + 7

Step-by-step explanation:

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We would take, a point (x,y) and the given point (-6,5)

Therefore; Since slope = Δy/Δx

Then;

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3(5-y) = -6 -x

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we get;

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Therefore;

<u>y = 1/3 x + 7</u>

3 0
4 years ago
Read 2 more answers
Solve math problem number 2<br><br> -3y -7 = 2
Kisachek [45]
Add 7 to both sides.

-3y = 9

Divide -3 on both sides.

y = -3

Hope this helps!
6 0
3 years ago
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