Answer: k = {8, -8}
<u>Step-by-step explanation:</u>
In order for a quadratic equation to have exactly one solution, the discriminant must equal zero. → b² - 4ac = 0
4x² + kx + 4 = 0
↓ ↓ ↓
a=4 b=k c=4
b² - 4ac = 0
k² - 4(4)(4) = 0
k² = 64
k = √64
k = ± 8
The answer is X = 11 - 3. This is because to calculate the original value of how many books Isabella had, you have to take away the amount purchased from the overall total amount. Therefore, the equation is x = 11-3
Answer:
x = 4/3
y = 1/3
Step-by-step explanation:
System of equations! This is set up really well to make the second equation equal x then substitute.
x - y = 1
x = 1 + y
and then our substitution:
2 (1+y) + y = 3
and solve:
2 + 2y + y = 3
3y + 2 = 3
3y = 1
y = 1/3
And now we can substitute that value into one of our equations:
x - (1/3) = 1
x = 4/3
Next we should check by substituting these values into both of our equations:
2 (4/3) + (1/3) = 3
9 / 3 does equal 3 !
(4/3) - (1/3) does equal 1 !
Therefore, x = 4/3 , and y = 1/3
A shape with 4 angles always have 360 degrees altogether.
Which means:
43 + 167 + 90 + y = 360
y = 360 - 43 - 167 - 90
y = 60
Answer: 60%
Step-by-step explanation:
25=100%
50%=12.5
10%=2.5
12.5(50%) +2.5(10%)= 50%(15)
so the answer is 60%
