Answer:
No solutions
Step-by-step explanation:
|-2x-10| + 4 = 2
Subtract 4 from each side
|-2x-10| + 4-4 = 2-4
|-2x-10| = -2
The absolute value is negative so there are no solutions.
Absolute values are always positive, so they cannot be negative.
You can use a calculator or oh I know your brain
The first term is, <span> <span>x2</span> </span> its coefficient is <span> 1 </span>.
The middle term is, <span> -3x </span> its coefficient is <span> -3 </span>.
The last term, "the constant", is <span> -70 </span>
Step-1 : Multiply the coefficient of the first term by the constant <span> <span> 1</span> • -70 = -70</span>
Step-2 : Find two factors of -70 whose sum equals the coefficient of the middle term, which is <span> -3 </span>.
<span><span> -70 + 1 = -69</span><span> -35 + 2 = -33</span><span> -14 + 5 = -9</span><span> -10 + 7 = -3 That's it</span></span>
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -10 and 7
<span>x2 - 10x</span> + 7x - 70
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-10)
Add up the last 2 terms, pulling out common factors :
7 • (x-10)
Step-5 : Add up the four terms of step 4 :
<span>(x+7) • (x-10)</span>
the numbers are 6 and 13
let x be one of the numbers then the other is 2x + 1
their sum increased by 7 = 26
x + 2x + 1 + 7 = 26
3x + 8 = 26
subtract 8 from both sides
3x = 26 - 8 = 18
divide both sides by 3
x = = 6
the numbers are 6 and (2 × 6) + 1 = 12 + 1 = 13
Answer:
constant (unchanged) ratio of two variable quantities.
Step-by-step explanation:
Constant of Variation. The constant of variation in a direct variation is the constant (unchanged) ratio of two variable quantities. The formula for direct variation is. y = k x (or y = k x ) where k is the constant of variation .