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:
T < - 4°C
Step-by-step explanation:
Given that Mariana wears her coat only when temperature is colder than - 4°C
Recall that lower temperature values indicate higher degree of coldness ;
Hence, Mariana will only wear her coat when temperature values are lesser than - 4°C ; this means that the temperature at that period is colder than - 4°C.
Hence, the inequality expression which is only true for temperatures when Mariana wears her coat can be written as :
Temperature = T
T < - 4°C
Answer:
25
Step-by-step explanation:
The median of a trapezoid equals one half of the sum of the bases
AC is a median and EB and DF are the bases.
hence AC = 1/2(EB + DF)
We are given that EB = 13 and that AC = 19. And we need to find DF
To do so we plug in what we are given and solve for DF
AC = 1/2(EB + DF)
AC = 19, EB = 13
19 = 1/2(13 + DF)
Now solve for DF
* Multiply both sides by 2*
19 * 2 = 38
1/2(13 + DF) * 2 ( the 1/2 and 2 cancel out and we're left with 13 + DF )
We then have 38 = 13 + DF
* Subtract 13 from both sides *
38 - 13 = 13 - 13 + DF
We get that DF = 25
Answer:
Center is at (0,0)
Step-by-step explanation:
An equation of ellipse in standard form is:
![\displaystyle{\dfrac{(x-h)^2}{a^2}+\dfrac{(y-k)^2}{b^2} = 1](https://tex.z-dn.net/?f=%5Cdisplaystyle%7B%5Cdfrac%7B%28x-h%29%5E2%7D%7Ba%5E2%7D%2B%5Cdfrac%7B%28y-k%29%5E2%7D%7Bb%5E2%7D%20%3D%201)
Where center is at point (h,k)
From the equation of
. First, we add 45 both sides:
![\displaystyle{x^2+5y^2-45+45=0+45}\\\\\displaystyle{x^2+5y^2=45}](https://tex.z-dn.net/?f=%5Cdisplaystyle%7Bx%5E2%2B5y%5E2-45%2B45%3D0%2B45%7D%5C%5C%5C%5C%5Cdisplaystyle%7Bx%5E2%2B5y%5E2%3D45%7D)
Convert into the standard form with RHS (Right-Hand Side) equal to 1 by dividing both sides by 45:
![\displaystyle{\dfrac{x^2}{45}+\dfrac{5y^2}{45}=\dfrac{45}{45}}\\\\\displaystyle{\dfrac{x^2}{45}+\dfrac{y^2}{9}=1}](https://tex.z-dn.net/?f=%5Cdisplaystyle%7B%5Cdfrac%7Bx%5E2%7D%7B45%7D%2B%5Cdfrac%7B5y%5E2%7D%7B45%7D%3D%5Cdfrac%7B45%7D%7B45%7D%7D%5C%5C%5C%5C%5Cdisplaystyle%7B%5Cdfrac%7Bx%5E2%7D%7B45%7D%2B%5Cdfrac%7By%5E2%7D%7B9%7D%3D1%7D)
Therefore, the center of ellipse is at (0,0) since there are no values of h and k.