9514 1404 393
Answer:
y = 1
Step-by-step explanation:
Recognize that 25 and 125 are powers of 5 and rewrite the equation in terms of powers of 5.
The applicable rules of exponents are ...
(a^b)^c = a^(bc)
(a^b)/(a^c) = a^(b-c)
(a^b)(a^c) = a^(b+c)
__
Your equation can be written as ...
Now this can be solved as an ordinary linear equation.
8 = 8y . . . . . . add 5y to both sides
1 = y . . . . . . . divide by 8
The solution is y = 1.
Answer:
D) the lines coincide
Step-by-step explanation:
1. y = 4 - x
2. 2y = 8 - 2x
divide eq2 by 2:
y = 4 - x
eq 1 and 2 are identical
Answer:
x-intercept=(5,0) y-intercept =(0,-6)
Step-by-step explanation:
to find the x-intercept you substitute 0 in for y so the you're left with 6x=30 and you divide it by 6 on both sides leaving you with x=5
To find the y- intercept you set x=0 which leaves you with -5y=30 and you divide both sides by -5 and you're left with y=-6
⓵ Write down your complete equation:
x + ¾ = 9/8
⓶ Solve the equation in order to find the value of “x”:
x + ¾ = 9/8
- ¾ - ¾
x = 9/8 - ¾
There a 3 simple steps to subtract fractions:
⒈ Make sure the bottom numbers (the denominators) are the same.
9/8 - ¾ → They don’t have the same denominator.
You need to multiply the top number and the bottom number of ¾ by 2 :
3 (x2) 6
—- = ——
4 (x2) 8
So now you are left with : 9/8 - 6/8
⒉ Subtract the top numbers (the numerators). Put the answer over the same denominator :
9 - 6 = 3 → ⅜
⒊ Simplify the fraction (if needed) :
⅜ → The fraction is already simplified.
⇨ Your answer is: x = ⅜
There you go! I really hope this helped, if there’s anything just let me know! ☻
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