Answer:
1. 87b−179+957÷87
2. 51b−24
Step-by-step explanation:
Given :
A contestant on a game show must guess the price of a new car. The contestant will win if his guess is within $1000 of the price of the car.
To Find :
If the price of the car is $24,995 and the contestant's guess is represented by g, what absolute value inequality represents this situation.
Solution :
Let, range in which participant guess would be considered correct is r.
So, r should be in range $( 24,995 ± 1000 ).
( 24,995 - 1000 ) ≤ r ≤ ( 24,995 + 1000 )
23,995 ≤ r ≤ 25,995
Therefore, the correct inequality is 23,995 ≤ r ≤ 25,995 .
Hence, this is the required solution.
Answer:
Vertical A @ x=3 and x=1
Horizontal A nowhere since degree on top is higher than degree on bottom
Slant A @ y=x-1
Step-by-step explanation:
I'm going to look for vertical first:
I'm going to factor the bottom first: (x-3)(x-1)
So we have possible vertical asymptotes at x=3 and at x=1
To check I'm going to see if (x-3) is a factor of the top by plugging in 3 and seeing if I receive 0 (If I receive 0 then x=3 gives me a hole)
3^3-5(3)^2+4(3)-25=-31 so it isn't a factor of the top so you have a vertical asymptote at x=3
Let's check x=1
1^3-5(1)^2+4(1)-25=-25 so we have a vertical asymptote at x=1 also
There is no horizontal asymptote because degree of top is bigger than degree of bottom
There is a slant asympote because the degree of top is one more than degree of bottom (We can find this by doing long division)
x -1
--------------------------------------------------
x^2-4x+3 | x^3-5x^2+4x-25
- ( x^3-4x^2+3x)
--------------------------------
-x^2 +x -25
- (-x^2+4x-3)
---------------------
-3x-22
So the slant asymptote is to x-1
Answer:
x = 32/3
Step-by-step explanation:
Step 1: Write equation
x/6 = 16/9
Step 2: Solve for <em>x</em>
- Cross multiply: 9x = 96
- Divide both sides by 9: x = 96/9
- Simplify: x = 32/3
Answer:
the solution to this inequality is: (-6,∞).
Step-by-step explanation:
<em> " Isolating the variable means rewriting an equivalent equation in which the variable is on one side of the equation and everything else is on the other side of the equation ".</em>
<em>Here we are given an inequality as:</em>
<em> 4x + 4 > –20</em>
<em>so subtracting both side by 4 we have:</em>
4x>-20-4
4x>-24
x>-6 (dividing both side by 4)
Hence we get the solution on the number line as:
all those real number which are strictly greater than -6; In intervals we can write this as:
(-6,∞).
