Answer:
Real numbers are like pi, 4, -3, 1/3, 1.25, -3468374, ......
Infinite solutions are like when you solve a problem and it doesn't work out.
like 2+2 = 3 + 2
4 = 5
It doesn't make sense at all
Hope it helps :)
You have to complete the square to get it into vertex form. Do this by setting the function equal to zero and at the same time moving the constant over to the other side of the equals sign so you have this:
. Now we can complete the square on the polynomial by taking half the linear term, squaring it, and adding it to both sides. Our linear term is 4. Half of 4 is 2, and 2 squared is 4, so we add 4 to both sides:
and simplify to get
. In this process we have created a perfect square binomial on the left, which happens to be
. Now move the -6 back over by addition to get
. The vertex is found at (-2, 6), the third choice down.
The equation a = 100 + 75d represents Maria's account balance.
<u>Step-by-step explanation:</u>
Given that,
- Maria opened a new savings account with an initial deposit of $100.
- She deposits $75 into this savings account every two-weeks.
You need to find the equation to represent Maria's account balance, a after she has completed d deposits.
- Let 'd' be the number of deposits Maria made after the initial deposit.
- Let 'a' be the total account balance after 'd' deposits.
Therefore, the equation for the total account balance can be framed as the sum of the initial deposit and amount deposited after that.
<u>To find the amount that was deposited after the initial deposit :</u>
⇒ $75 × number of times Maria deposited.
⇒ 75 × d
The equation is written as,
⇒ a = 100 + 75d
Hence the equation a = 100 + 75d represents Maria's account balance.
Answer:
1. w = 15
2. b = 4.8
3. s = 9.7
4. p =15
5. m = -3.2
Step-by-step explanation:
1.w + 10 = 25
we have to find the value of w, so moving 10 from left side to right side
w= 25 - 10
w = 15
2. 7.2 + b = 12
we have to find the value of w, so moving 7.2 from left side to right side
b= 12 - 7.2
b= 4.8
3. 5.3 + s = 15
s= 15 - 5.3
s= 9.7
4.p + (-25) = -10
p-25 = -10
p= -10 + 25
p= 15
3. m + (-1.6) = -4.8
m - 1.6 = -4.8
m = -4.8 + 1.6
m= -3.2
