Answer:
$25.80
Step-by-step explanation:
First find the price of the meal with sales tax. Multiply 6.75% by $72.50.
72.50 * 0.0675 = 4.89
Add this value onto 72.50.
72.50 + 4.89 = 77.39
Divide this amount by 3.
77.39 / 3 = 25.7966...
Round this to the nearest hundredth because we're dealing with money.
$25.80 is how much each person should pay.
X-7 < -3
Remember that the less than or equal to has a line underneath it!
Answer:
X=(-1.5, 7.5)
Step-by-step explanation:
Simplifying
4x2 + -24x + -45 = 0
Reorder the terms:
-45 + -24x + 4x2 = 0
Solving
-45 + -24x + 4x2 = 0
Solving for variable 'x'.
Factor a trinomial.
(-3 + -2x)(15 + -2x) = 0
Set the factor '(-3 + -2x)' equal to zero and attempt to solve:
Simplifying
-3 + -2x = 0
Solving
-3 + -2x = 0
Move all terms containing x to the left, all other terms to the right.
Add '3' to each side of the equation.
-3 + 3 + -2x = 0 + 3
Combine like terms: -3 + 3 = 0
0 + -2x = 0 + 3
-2x = 0 + 3
Combine like terms: 0 + 3 = 3
-2x = 3
Divide each side by '-2'.
x = -1.5
Simplifying
x = -1.5
Set the factor '(15 + -2x)' equal to zero and attempt to solve:
Simplifying
15 + -2x = 0
Solving
15 + -2x = 0
Move all terms containing x to the left, all other terms to the right.
Add '-15' to each side of the equation.
15 + -15 + -2x = 0 + -15
Combine like terms: 15 + -15 = 0
0 + -2x = 0 + -15
-2x = 0 + -15
Combine like terms: 0 + -15 = -15
-2x = -15
Divide each side by '-2'.
x = 7.5
Simplifying
x = 7.5
Solution
x = {-1.5, 7.5}
In order to find the y-intercept, replace x by 0.
So, for first option:
f(0) = 7(1) - 2 = 5
For second option:
f(0) = -3(1) - 5 = -8
For third option:
f(0) = 5(1)-1=4
For Fourth option:
f(0) = -5(1) + 10 = 5
For Fifth Option:
f(0) = 2(1) + 5 = 7
So, option 1 and 4 have the y-intercept (0,5)
Keep change flip then simplify or divide if needed
