Answer:
rays
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
Here, we want to check if the given equation does not intersect the x-axis
if it does not, then it has no real root
If the discriminant is less than zero, then it has no real roots and does not intersect the x-axis
The formula for the discriminant is;
D = b^2-4ac
In the question;
a = -1 , b = 6 , c = 10
so;
D = 6^2-4(-1)(10)
D = 36-40
D = -4
Since discriminant is less than zero, then there is no real root and the graph does not cross the x-axis
Answer:
x = -19.75
Step-by-step explanation:
![\frac{1}{2}(4x-5) +52 =10](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%284x-5%29%20%2B52%20%3D10)
![\frac{4x-5}{2}+ 52 = 10](https://tex.z-dn.net/?f=%5Cfrac%7B4x-5%7D%7B2%7D%2B%2052%20%3D%2010)
![\frac{4x-5+ 52\times 2}{2} = 10](https://tex.z-dn.net/?f=%5Cfrac%7B4x-5%2B%2052%5Ctimes%202%7D%7B2%7D%20%3D%2010)
![4x-5+ 104 = 10 \times 2](https://tex.z-dn.net/?f=4x-5%2B%20104%20%3D%2010%20%5Ctimes%202)
![4x+99 = 20](https://tex.z-dn.net/?f=4x%2B99%20%3D%2020)
![4x = 20-99](https://tex.z-dn.net/?f=4x%20%3D%2020-99)
![4x = -79](https://tex.z-dn.net/?f=4x%20%3D%20-79)
![x= -\frac{79}{4}](https://tex.z-dn.net/?f=x%3D%20-%5Cfrac%7B79%7D%7B4%7D)
![x= -19.75](https://tex.z-dn.net/?f=x%3D%20-19.75)
Using a linear function, we have that:
a) The costs are:
i. C(x) < $1.3.
ii. C(x) > $2.3.
b) The times are:
i. Less than 9 minutes.
ii. At least 16 minutes.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
In this problem, the <u>y-intercept is of 0.3, while the slope is of 0.2</u>, hence the cost for a call of x minutes is:
C(x) = 0.3 + 0.2x.
For calls shorter than 5 minutes, the costs are:
C(x) < 0.3 + 0.2 x 5
C(x) < $1.3.
For calls longer than 10 minutes, the costs are:
C(x) > 0.3 + 0.2 x 10
C(x) > $2.3.
The cost is less than $2.10 for calls of less than x minutes, found as follows:
0.3 + 0.2x < 2.1
0.2x < 1.8
x < 9.
The cost is greater or equal to $3.50 for calls of at least x minutes, found as follows:
0.3 + 0.2x >= 3.5
0.2x >= 3.2
x >= 16.
More can be learned about linear functions at brainly.com/question/24808124
#SPJ1
Answer:
ummmm im not sure but i think 7
Step-by-step explanation: