Diego’s family car holds 14 gallons of fuel. Each day the car uses 0.6 gallons of fuel. A warning light comes on when the remaining fuel is 1.5 gallons or less. a. Starting from a full tank, can Diego’s family drive the car for 14 days without the warning light coming on? Explain or show your reasoning.

b. Starting from a full tank, can Diego’s family drive the car for 25 days without the warning light coming on? Explain or show your reasoning.

c. Diego says the expression 14−0.6t helps him understand this situation. In this situation, what does this expression represent, and what does the variable t stand for?

d. Write and solve an equation to determine the number of days Diego’s father can drive the car without the warning light coming on.

e. Write and solve an inequality that represents this situation. Explain clearly what the solution to the inequality means in the context of this situation.

let y equal to

the total fare and x is the mile of taxi ride. so the equation is

y = 0.55x + 1.75

since susie has

$10 to spend for a taxi cab, so he can have

10 = 0.55x +

1.75

x = 15 miles of

taxi ride

so the system of

inequality is

10 < 0.55x +

1.75

x > 2

table a is wierd

step-by-step explanation:

6*f

the polynomial is a perfect square trinomial of the form a^2-2ab+b^2:

option a. true

step-by-step explanation:

9x^2-12x+4

comparing with the form a^2-2ab+b^2

1.) a^2=9x^2

solving for a: square root both sides of the equation:

sqrt(a^2)=sqrt(9x^2)

a=sqrt(9) sqrt(x^2)

a=3x

2.) b^2=4

solving for b: square root both sides of the equation:

sqrt(b^2)=sqrt(4)

b=2

to be a perfet square trinomial 2ab must be equal to 12x. let's check:

2ab = 2 (3x) (2)

2ab = 12x

correct

false

step-by-step explanation:

the reason i say this is because for a certain length of sides you can pick any two and the length is wither equal or greater than the third side and in this case it's not.

3 + 5 = 8

8 is smaller than 9 which is the third side.

hope this : )