Simple...
you have:
and
To solve for....
Multiply to remove the denominator-->>
n=12*3
n=36
Then-->>>
Do the same thing-->>
n=-12*3
n=-36
Thus, your answer.
Answer is b.
Now we going to solve it
To find how many refills he bought
8.95 + 1.50(r) = 26.95
-8.95 = -8.95 1. subtract $8.95 from
———————————- both sides.
1.50(r) = 18.00 2. The $8.95 cancels
——— = ——— out.
1.50 1.50 3. Bring the equation
R = 12 down.
4. Now you divide 1.50
on both sides.
Final answer R= 12
Answer:
The possible numbers of songs that you can burn onto the CD is 11.
Step-by-step explanation:
The total storage capacity of CD = 70 minutes
Storage already used = 25 minutes
Hence, The available storage = Total available storage - Used Storage
= 70 minutes - 25 minutes = 45 minutes
Hence, the CD has 45 minutes storage left.
Now, each song takes up 4 minutes of storage.
⇒ 
= 
⇒The number of songs possible = 11.25 ≈ 11
Hence, the possible numbers of songs that you can burn onto the CD is 11.
Answer: y = -14/9(x + 4)^2 + 7
Step-by-step explanation:
The given roots of the quadratic function is (-1, -7)
The vertex is at (-4, 7)
The formula is
y = a(x - h)^2 + k
The vertex is (h, k)
Comparing with the given vertex, (-4, 7), h = -4 and k = 7
Substituting into the formula
y = a(x - h)^2 + k, it becomes
y = a(x - - 4)^2 + 7
y = a(x + 4)^2 + 7
From the roots given (-1, -7)
x = -1 and y = -7
Substituting x = -1 and y = -7 into the equation,
y = a(x + 4)^2 + 7, it becomes
-7 = a(-1+4)^2 + 7
-7 = a(3^2 ) + 7
- 7 = 9a + 7
-7-7 = 9a
9a = -14
a = -14/9
Substituting a = - 14/9 into the equation, it becomes
y = -14/9(x + 4)^2 + 7
Answer:
x=2√5
Step-by-step explanation:
<u>1st method:</u>
sin(30)=opposite/hypotenuse=√5/x
sin(30)x=√5
x=√5/sin(30)
x=2√5
<u>2nd method:</u>
cos(60)=adjacent/hypotenuse=√5/x
cos(60)x=√5
x=√5/cos(60)
x=2√5
<u>3rd method:</u>
This is a 30-60-90 triangle, so we can multiply the short side, √5, by 2, to get x=2√5
