What is the expression the larger number is 1 less than two times the smaller

Mathematics

1 answer:

alina1380 [7]4 years ago

4 0

this is the expression: 2x - 1 = x. in this scenario, x = 1

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6|6-4x|=8x+4<br> Need help solving the equation. I need help checking the extraneous solutions too.

Vsevolod [243]

$6|6-4x|=8x+4\\\\Formula\ for\ absolute\ value\\\\
|a|=a,\ for\ a \geq 0\\ or\\|a|=-a,\ for\ a \ \ -4x \geq -6\ \ -->\ \ \ x \leq \frac{3}{2}\\\\
6(6-4x)=8x+4\\
36-24x=8x+4\ \ |subtract\ 4\\
32-24x=8x\ \ | add\ 24x\\
32=32x\ \ | divide\ by\ 32\\
x=1\ \ \ and\ 1 \leq \frac{3}{2}\\\\
II\\
for\ 6-4x \ \ -4x < -6\ \ -->\ \ \ x > \frac{3}{2}\\\\
6(-6+4x)=8x+4\\
-36+24x=8x+4\ \ | subtract4\\
-40+24x=8x\ \ \ | subtract\ 24x\\
-40=-16x\ \ | divide\ by\ -16$ $x=2,5\ \ and\ 2,5>\frac{3}{2}\\\\Solutions:\\
x\in \{1;2,5\}$

8 0

3 years ago

Fofino [41]

Answer:

-0.8, -0.2, 0.8, 1.6

Step-by-step explanation:

7 0

2 years ago

Tyler can swim 1/2 miles in 1/3 hours at a constant speed. At this rate , how fast does Tyler swin in miles for hours?

gladu [14]

Miles. Hours

1/2 = 1/3
1 = 2/3
1 1/2 = 3/3 or 1

= 1

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2 years ago

A store buys a table for $780 and Mark's it up for 20% what's the selling price?

xenn [34]

Answer:

$936

Step-by-step explanation:

$780

20% of $780 is $156

$780 + $156 = $936

5 0

3 years ago

With work please and thanks

Ipatiy [6.2K]

Answer:

Step-by-step explanation:

He bought a total of 5 tickets, some child, some adult. This is the NUMBER equation.

# of adult tickets + # of child tickets = 5 tickets

Now for the COST equation. Each child ticket costs $2, so the expression for that is 2c; each adult ticket costs $8, so the expression for that is 8a. He spend a total of $22:

$2c + $8a = $22

Money and the number of tickets are NOT THE SAME so they cannot be put into the same equation. They won't add or subtract because they're not like.

Your system is choice A

7 0

3 years ago