All categories

3 years ago

What is the reason for each step in the solution of the inequality? −2(x+3)−4>4x+30

2 answers:

6 0

Distribute the -2 to the (x+3) because of distributive property
-2x-6-4>4x+30
add like terms because you aren't changing anything
-2x-10>4x+30
add 2x to both sides (addition property of equality, when b=b and a=a, a+b=a+b)
also addative inverse, a+(-a)=0, the 2x canceld the -2x
-10>6x+30
minus 30 from both sides (subtraction property of equality again) and addative inverse, the -30 cancleled the 30
-40>6x
divide both sides by 6 (division property of equality)
-20/3>x
property of 1 division (if a=a then a/a=1
x<-20/3

DochEvi [55]3 years ago

5 0

You would have to first distribute the -2 to the x+3 which gives you -2x-6. Then you would subtract the 4 which gives you -2x-10 on the left side. Now you have the equation -2x-10>4x+30. Move the 4x to the other side giving you -6x-10>30. Now add the 10 from the other side which leaves you with -6x>40. Now remember when you divide by a negative in an inequality, you HAVE TO flip the sign giving you the answer of x<-20/3.

You might be interested in

Put the following equation of a line into slope intercept form, simplifying all fractions.

Neporo4naja [7]

Answer:

16y

Step-by-step explanation:

4 0

3 years ago

State all integer values of x in the interval (2,8) that satisfy the following inequality:

lidiya [134]

Answer:

3,4,5,6 and 7

Step-by-step explanation:

Given

$5x + 4 \ge 19$

Required

State the values of x within 2 and 8

$5x + 4 \ge 19$

Collect Like Terms

$5x \ge 19 - 4$

$5x \ge 15$

Divide both sides by 5

$\frac{5x}{5} \ge \frac{15}{5}$

$x \ge 3$

(2,8) is an open interval which means that 2 and 8 are not inclusive of the values of x.

So:

The values of $x \ge 3$ are: 3,4,5,6 and 7

3 0

3 years ago

kelli and her faimly went to the beach for a vacation. they drove 293 miles 7 hours to get theredid they drive each hour

Inessa [10]

Ok so, Since Kelli and her family drove a total of 293 miles in 7 hours, then your equation should be $\frac{293miles}{7hrs}$
Now, since you have your ratio you divide 293 by 7 in order to get how many miles were driven in one hour
$\frac{293}{7}$ = 41.85714286 miles/hr

5 0

3 years ago

Read 2 more answers

Find the radius of the sphere with the given volume<br><br>volume= 9/16 (pie symbol)ft cubed

xz_007 [3.2K]

Remember, the volume formula of a sphere is $\frac{4}{3} \pi r^{3}$ .

Set that equation equal to whatever volume they give you and solve for r.

$\frac{4}{3} \pi r^{3}$ = $\frac{9}{16} \pi$

Now solve for r! I know you can do this. If you need help, just comment.

5 0

3 years ago

To form 3 adjacent squares (as in the figure), 10 toothpicks are required. How many toothpicks are required to form 100 adjacent

Sonja [21]

<span>Let's say in general you want "n" adjacent squares. Each one needs a top, so that's n toothpicks. Each one needs a bottom, so that's another n toothpicks, and we're up to 2n total. You need one on the far left, and one on the far right, which brings us up to 2n + 2 toothpicks. Now we need to worry about the middle ones. But notice that you don't need n toothpicks for the interior because adjacent squares share. It turns out that you only need n-1. That brings us up to a grand total of 3n + 1 toothpicks, which would be 301 for n = 100.

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
</span>

7 0

3 years ago