Answer:
960
Step-by-step explanation:
We start with the variable "x". Let's call "x" Raina's penny bank.
After adding 360 pennies, at the end, she has 5/8x, or 5/8.
So we start with
(1/4)x + 360 = 5/8x
Let's subtract 1/4x from both sides
360 = 5/8x - 1/4x
Remember, we need to use common denominators to subtract, so 1/4 becomes 2/8
360 = 5/8x - 2/8x
Now we simplify to get
360=3/8x
Multiply the reciprocal of 3/8 to both sides which is 8/3
360 * 8/3 = x
Answer is 960 pennies.
Therefore Raina's bank hold 960 pennies.
Answer:
5
Step-by-step explanation:
Put -2 where x is and do the arithmetic.
f(x) = 2x² -3
f(-2) = 2(-2)² -3 = 2(-2)(-2) -3 = 8 -3
f(-2) = 5
Answer:
![\left[\begin{array}{ccc}32&-55\\3&39\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D32%26-55%5C%5C3%2639%5Cend%7Barray%7D%5Cright%5D)
Step-by-step explanation:
![\left[\begin{array}{ccc}0&-15\\3&15\end{array}\right] +\left[\begin{array}{ccc}32&-40\\0&24\end{array}\right] =\left[\begin{array}{ccc}0+32&-15+(-40)\\3+0&15+24\end{array}\right] = \left[\begin{array}{ccc}32&-55\\3&39\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%26-15%5C%5C3%2615%5Cend%7Barray%7D%5Cright%5D%20%2B%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D32%26-40%5C%5C0%2624%5Cend%7Barray%7D%5Cright%5D%20%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%2B32%26-15%2B%28-40%29%5C%5C3%2B0%2615%2B24%5Cend%7Barray%7D%5Cright%5D%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D32%26-55%5C%5C3%2639%5Cend%7Barray%7D%5Cright%5D)
-1x=13+9y
(13+9y)+7y=-19
13+16y=-19
16y=-6
•Y=6/16
-1x-(9•6/16)=13
-1x-3.375=13
-1x=16.375
•X=-16.375
2x + 9 < 32
2x < 32 - 9
2x < 23
x < 23/2
x < 11.5 <==
