Answer:
(1.13, 7.74) and (-4.13, 18.26)
Step-by-step explanation:
This can be solved in two ways: mathematically and graphically.
<u>Graphing</u>
Plot both lines and find where they intersect. See the attachment.
The intersection points are (1.13, 7.74) and (-4.13, 18.26)
<u>Mathematical</u>
y + 2x = 10
y = 10 - 2x
y = 3x² + 7x - 4
10 - 2x = 3x² + 7x - 4
3x² + 9x - 14 = 0
Solve this using the quadratic equation:
x = 1.13 and -4.13
Use these two values of x to find y:
y = 10 - 2x
y = 10 - 2(1.13)
y = 7.74
y = 10 -2x
y = 10 -2(-4.13)
y = 18.26
The two points are:
(1.13, 7.74) and (-4.13, 18.26)
Answer:
(a) 
(b) 
Step-by-step explanation:
It is given that 
.
(a)
![[\because \sin x=\sin y\Rightarrow x=n\pi+(-1)^ny]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Csin%20x%3D%5Csin%20y%5CRightarrow%20x%3Dn%5Cpi%2B%28-1%29%5Eny%5D)
(b)
![[\because \sin x=\dfrac{1}{\csc x}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Csin%20x%3D%5Cdfrac%7B1%7D%7B%5Ccsc%20x%7D%5D)
Therefore, .
Answer:
60+2x≥300
Step-by-step explanation:
So we know that she makes a base of $60 a week and gets $2 extra for every item she sells. First, we set up an equation for how many items she would have to sell to make exactly $300 in a week. 60+2x=300. Now, all we do is replace the equal sign with a ≥ sign because it says at least which means more than or equal to.
Answer:
its A
Step-by-step explanation:
not gonna explain it cause I dont have to ._. plus it wasnt that hard
Answer:
y=8/7x+5
Step-by-step explanation:
y=mx+b but m is your slope and b is your y intercept.
