<span><span><span>−<span>36n</span></span>−75</span>=<span>n−65</span></span><span>−36n−75−n</span><span>=</span><span>n−65−n</span>
<span><span><span>−<span>37n</span></span>−75</span>=<span>−65</span></span><span><span><span><span>−<span>37n</span></span>−75</span>+75</span>=<span><span>−65</span>+75</span></span><span><span>−<span>37n</span></span>=10</span><span><span><span>−<span>37n</span></span><span>−37</span></span>=<span>10<span>−37
</span></span></span><span>n= <span><span>−10/</span>37 <--------- answer</span></span>
Answer:
1. Reflection
2. Dilation
3. Rotation
Step-by-step explanation:
Hey!
You can tell number one is a reflection because it didn’t change side or turn upside down or anything, it just flipped over to the other side.
You can tell number two is a dilation because it changes size.
You can tell number three is rotation because it rotated.
Hope this helps! :D
If you have any further questions, comment down below!
Answer:
10
Step-by-step explanation:
Given the expression:
(5 * x³) / x² ; for x = 2
Simplifying (5 * x³) / x²
5 * x^(3-2)
5 * x^1
= 5x
For x = 2
5x = 5*2 = 10
Answer as a fraction: 17/6
Answer in decimal form: 2.8333 (approximate)
==================================================
Work Shown:
Let's use the two black points to determine the equation of the red f(x) line.
Use the slope formula to get...
m = slope
m = (y2-y1)/(x2-x1)
m = (4-0.5)/(2-(-1))
m = (4-0.5)/(2+1)
m = 3.5/3
m = 35/30
m = (5*7)/(5*6)
m = 7/6
Now use the point slope form
y - y1 = m(x - x1)
y - 0.5 = (7/6)(x - (-1))
y - 0.5 = (7/6)(x + 1)
y - 0.5 = (7/6)x + 7/6
y = (7/6)x + 7/6 + 0.5
y = (7/6)x + 7/6 + 1/2
y = (7/6)x + 7/6 + 3/6
y = (7/6)x + 10/6
y = (7/6)x + 5/3
So,
f(x) = (7/6)x + 5/3
We'll use this later.
---------------------
We ultimately want to compute f(g(0))
Let's find g(0) first.
g(0) = 1 since the point (0,1) is on the g(x) graph
We then go from f(g(0)) to f(1). We replace g(0) with 1 since they are the same value.
We now use the f(x) function we computed earlier
f(x) = (7/6)x + 5/3
f(1) = (7/6)(1) + 5/3
f(1) = 7/6 + 5/3
f(1) = 7/6 + 10/6
f(1) = 17/6
f(1) = 2.8333 (approximate)
This ultimately means,
f(g(0)) = 17/6 as a fraction
f(g(0)) = 2.8333 as a decimal approximation
6 bags of dog food × $9 = 54
$89 total - $54 spent on dog food = $35 spent on cat food
$35 / $8 = 4.375, but you can't have decimals for cat food bags so round down.
= 4 bags of cat food
