I think it’s 32
Hope that helped XD
Answer:
Function 1
Step-by-step explanation:
<u>Function 1:</u>
![y=\dfrac{5}{6}x+10](https://tex.z-dn.net/?f=y%3D%5Cdfrac%7B5%7D%7B6%7Dx%2B10)
The rate of change of the function 1 is:
![\dfrac{5}{6}\approx 0.83](https://tex.z-dn.net/?f=%5Cdfrac%7B5%7D%7B6%7D%5Capprox%200.83)
<u>Function 2:</u>
The rate of change of the function 2 is:
![\dfrac{15.75-14.25}{1-(1)}=\dfrac{1.5}{2}=0.75](https://tex.z-dn.net/?f=%5Cdfrac%7B15.75-14.25%7D%7B1-%281%29%7D%3D%5Cdfrac%7B1.5%7D%7B2%7D%3D0.75)
Hence, the greater rate of change has function 1.
The questions seem to be about the law of sines:
5
26/sin(73) = x/sin(11) = 5
6
8/sin(104) = x/sin(29) = 17
7
25/sin(86) = x/sin(21) = 9
8
29/sin(58) = x/sin(26) = 15
9
18/sin(28) = x/sin(47) = 8
10
6/sin(17) = x/sin(137) = 6
Answer:
The answer is -1 or 9
The quadratic equation is ax² + bx + c = 0. But, by completing the square we turn it into: a(x + d)² + e = 0, where:
d = b/2a
e = c - b²/4a
Our quadratic equation is x² - 8x = 9, which is after rearrangement:
x² - 8x - 9 = 0
So, a = 1, b = -8, c = -9
Let's first calculate d and e:
d = b/2a = -8/(2 * 1) = -8/2 = -4
e = c - b²/4a = -9 - (-8)²/(4 * 1) = -9 - 64/4 = -9 - 16 = -25
By completing the square we have:
a(x + d)² + e = 0
1(x + (-4))² + (-25) = 0
(x - 4)² - 25 = 0
(x - 4)² = 25
⇒ x - 4 = √25
Since √25 can be either -5 or +5 , then:
x - 4 = -5 or x - 4 = 5
x = -5 + 4 or x = 5 + 4
x = -1 or x = 9
Step-by-step explanation: