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3 years ago

The function f(x)=3x+12x+11 can be written in vertex form as?

1 answer:

7 0

y = -3(x - 2)^2 + 1 x-coordinate of vertex: x = -b/(2a) = -12/-6 = 2 y-coordintae of vertex: y(2) = -12 + 24 - 11 = 1 Vertex form: y = -3(x - 2)^2 + 1 Check. Develop y to get back to standard form: y = -3(x^2 - 4x + 4) + 1 = -3x^2 + 12x - 11.

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A certain car can travel on a highway for 350 miles on 15 gallons of gas and in a city for 280 miles on 18 gallons of gas. If th

user100 [1]

Answer:

The car's average 18 number of miles per gallon

Step-by-step explanation:

The car has different efficiencies depending if its used on highway or city streets.

The efficiency on a highway is:

$E_h=\dfrac{350}{15}\;\text{miles/gal}=23.33\;\text{miles/gal}$

The efficiency for city driving is:

$E_c=\dfrac{280}{18}\;\text{miles/gal}=15.56\;\text{miles/gal}$

We now that the car uses twice as many gallons for city driving as for highway driving. This means that, for every gallon consumed, 2/3 are for city driving and 1/3 are for highway driving.

Then, we can calculate how many miles makes the car on average as:

$E=\dfrac{1}{3}E_h+\dfrac{2}{3}E_c\\\\\\E=\dfrac{1}{3}\cdot 23.33+\dfrac{2}{3}\cdot15.56=7.78+10.37=18.15\;\text{miles/gal}$

3 0

2 years ago

What is solution to the system of equations? Y=5×+2 3×=-y+10

Sergio [31]

Y = 5x + 2
3x = y + 10

3x = y + 10
3x = 5x + 2 + 10
3x = 5x + 12
3x - 5x = 12
-2x = 12
x = -6

substitute x = -6 into y = 5x + 2

y = 5(-6) + 2
y = -30 + 2
y = -28

x = -6, y = -28

hope this helped, God bless!

4 0

3 years ago

Can someone please help ASAP !!!!!!!!!!

denpristay [2]

Oh girl idek. What grade is this

3 0

2 years ago

Luda [366]

Answer:

x = 10

Step-by-step explanation:

Q is the midpoint of PR: PQ = QR

4x + 5 = 2x + 25

2x = 20

x = 10

3 0

2 years ago

Your EZ Pass account begins with $80. It costs you $4/day. Write an equation

vivado [14]

Answer:

The equation is $A(d) = 80 - 4d$

Step-by-step explanation:

Linear function:

A linear function for the amount of money in an account after t days is given by:

$A(d) = A(0) - md$

In which A(0) is the initial value and m is the daily cost.

Your EZ Pass account begins with $80. It costs you $4/day.

This means that $A(0) = 80, m = 4$

$A(d) = A(0) - md$

$A(d) = 80 - 4d$

7 0

2 years ago