Answer:
the correct answer is yes
Approximately 0.67 of a cup of sugar is needed. Let me know if this isn't right.
You can write it as a proportion and then solve the proportion.
(2.5 hours is 150 minutes)
14 cars x cars
--------------- = -------------------
45 minutes 150 minutes
Then solve.
x=46.6666666
So that is about 47 cars
$119.85 is the total amount he earned in 2 weeks
He mows his neighbor's lawn each week for $25...So if he mows for 2 weeks it should be
$25×2=$50
Darian gets paid $6.35 an hour to help out at his dad's shop...
Let X be the number of hours Darian worked at his dad's shop in the two weeks
So we can now make an equation to find X
(X×$6.35)+($25×2)=$119.85
(X×$6.35)+$50=$119.85
X×$6.35=$119.85-$50
X×$6.35=$69.85
X=$69.85÷$6.35
X=11
Therefore the number of hours Darian worked at his dad's shop in those two weeks is 11
Answer:
<h2>A. 4t² - 32t + 64</h2>
Step-by-step explanation:
Instead of x put (t - 3) in the equation of the function f(x) = 4x² - 8x + 4:
f(t - 3) = 4(t - 3)² - 8(t - 3) + 4
<em>use (a - b)² = a² - 2ab + b² and the distributive property a(b + c) = ab + ac</em>
f(t - 3) = 4(t² - (2)(t)(3) + 3²) + (-8)(t) + (-8)(-3) + 4
f(t - 3) = 4(t² - 6t + 9) - 8t + 24 + 4
f(t - 3) = (4)(t²) + (4)(-6t) + (4)(9) - 8t + 28
f(t - 3) = 4t² - 24t + 36 - 8t + 28
f(t - 3) = 4t² + (-24t - 8t) + (36 + 28)
f(t - 3) = 4t² - 32t + 64
