The slope of an absolute function at the point where it evaluates to zero is undefined.
Here, when x=1, so |4x-4|=|4-4|=|0|, the slope is undefined. This is where the vertex of the "V" on the graph of the absolute value function.
Let's solve your equation step-by-step.
4(2x+8)=10x+2−2x+30
Step 1: Simplify both sides of the equation.
4(2x+8)=10x+2−2x+30
(4)(2x)+(4)(8)=10x+2+−2x+30(Distribute)
8x+32=10x+2+−2x+30
8x+32=(10x+−2x)+(2+30)(Combine Like Terms)
8x+32=8x+32
8x+32=8x+32
Step 2: Subtract 8x from both sides.
8x+32−8x=8x+32−8x
32=32
Step 3: Subtract 32 from both sides.
32−32=32−32
0=0
Answer:
All real numbers are solutions.
Answer:
$28.05
Step-by-step explanation:
If you want to find how much the photo album is after the markup, you first have to find 10% of the original price. 10% of $25.50 is $2.55, so you add $2.55 and $25.50 to find the price after the markup.
Hope this helps!
X is equal 25 degrees. Line ac goes though the parallel lines. So bcd is x. Cdb is 180-50 equals 130. All angles add to 180. 180-130 equals 2X. So x equals 25.
Answer: it will take 9 days
Step-by-step explanation:
The water level was initially at 34feet it was receding at the rate of a foot per day. The rate at which it was receding is linear, thus, it is in an arithmetic progression. The formula for the nth term of an arithmetic progression is expressed as
Tn = a+(n-1)d
Where
a is the first term if the sequence
d is the common difference
n is the number of terms.
From the information given,
a = 34 feet because it is the initial height
n is the number of days it will take to get to 26 ft
d = -1 because it is decreasing by 1 foot per day.
Tn = T26 = 26 feet. Therefore, the equation will be
Tn = 34 -1(n-1)
To find for T26,
26= 34 + (n - 1)-1
26 - 34 = -n + 1
n - 1 = 8
n = 8 + 1 = 9
