Kyle needs 100 $100 gift cards to reach $10,000 in gift cards (100x100=10,000). Each gift card is 1,200,000 points so 100x1,200,000=120,000,000. Kyle needs 120,000,000 points to make $10,000 worth of gift cards.
The stock of cat food will last for 149 weeks.
Step-by-step explanation:
Given,
Bags of cat food in stock = 112
Bags used each week = 
Let,
x be the number of weeks.
Therefore,

Multiplying both sides by 4/3

Rounding off to nearest whole number;
x=149
The stock of cat food will last for 149 weeks.
Keywords: fraction, multiplication
Learn more about fractions at:
#LearnwithBrainly
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
Answer: ![\frac{2x\sqrt[4]{y^{2}}}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B2x%5Csqrt%5B4%5D%7By%5E%7B2%7D%7D%7D%7B3%7D)
Step-by-step explanation:
![\sqrt[4]{\frac{16}[81}} \sqrt[4]{\frac{x^{11}y^{8}}{x^{7}y^{6}}}\\\\=\frac{2}{3} \sqrt[4]{x^{4}y^{2}}\\\\=\frac{2x\sqrt[4]{y^{2}}}{3}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B%5Cfrac%7B16%7D%5B81%7D%7D%20%5Csqrt%5B4%5D%7B%5Cfrac%7Bx%5E%7B11%7Dy%5E%7B8%7D%7D%7Bx%5E%7B7%7Dy%5E%7B6%7D%7D%7D%5C%5C%5C%5C%3D%5Cfrac%7B2%7D%7B3%7D%20%5Csqrt%5B4%5D%7Bx%5E%7B4%7Dy%5E%7B2%7D%7D%5C%5C%5C%5C%3D%5Cfrac%7B2x%5Csqrt%5B4%5D%7By%5E%7B2%7D%7D%7D%7B3%7D)
Answer:
Step-by-step explanation:
Vertex form is accomplished by completing the square on the quadratic. Do this by first setting the parabola equal to 0 then moving the constant over to the other side:

Now take half the linear term, square it, and add it to both sides. Our linear term is 6. Half of 6 is 3, and 3 squared is 9:

The reason we do this is to create a perfect square binomial on the left:
(obviously the 0 results from the addition of 9 and -9). Move the 0 back over to the other side and set the quadratic back equal to y:

This gives you a vertex of (-3, 0), which is a minimum value, since the parabola opens upwards.