Answer:
5
Step-by-step explanation:
The initial value is when x=0
When x=0, y =5
The initial value is 5
We are given
Jim's backyard:
Length is
![L=15\frac{5}{6} =\frac{95}{6} yards](https://tex.z-dn.net/?f=L%3D15%5Cfrac%7B5%7D%7B6%7D%20%3D%5Cfrac%7B95%7D%7B6%7D%20yards)
width is
![W=10\frac{2}{5} =\frac{52}{5} yards](https://tex.z-dn.net/?f=W%3D10%5Cfrac%7B2%7D%7B5%7D%20%3D%5Cfrac%7B52%7D%7B5%7D%20yards)
Since, this is rectangle
so, we can find area of rectangle
![A=L*W](https://tex.z-dn.net/?f=A%3DL%2AW)
![A=(\frac{95}{6})*(\frac{52}{5})](https://tex.z-dn.net/?f=A%3D%28%5Cfrac%7B95%7D%7B6%7D%29%2A%28%5Cfrac%7B52%7D%7B5%7D%29)
![A=\frac{494}{3} yard^2](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B494%7D%7B3%7D%20yard%5E2)
Area of one sod:
length is
![l=1\frac{1}{3} =\frac{4}{3} yards](https://tex.z-dn.net/?f=l%3D1%5Cfrac%7B1%7D%7B3%7D%20%3D%5Cfrac%7B4%7D%7B3%7D%20yards)
width is
![w=1\frac{1}{3} =\frac{4}{3} yards](https://tex.z-dn.net/?f=w%3D1%5Cfrac%7B1%7D%7B3%7D%20%3D%5Cfrac%7B4%7D%7B3%7D%20yards)
Since, it is rectangle in shape
so,
![Area=l*w](https://tex.z-dn.net/?f=Area%3Dl%2Aw)
![A=\frac{4}{3}*\frac{4}{3}](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B4%7D%7B3%7D%2A%5Cfrac%7B4%7D%7B3%7D)
![A=\frac{16}{9}yard^2](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B16%7D%7B9%7Dyard%5E2)
Number of pieces of sod:
we can use formula
Number of pieces of sod = (area of Jim's backyard)/(area of one sod)
![N=\frac{\frac{494}{3} }{\frac{16}{9} }](https://tex.z-dn.net/?f=N%3D%5Cfrac%7B%5Cfrac%7B494%7D%7B3%7D%20%7D%7B%5Cfrac%7B16%7D%7B9%7D%20%7D)
now, we can simplify it
pieces need ..............Answer
Answer:
The irrational conjugate theorem states that if a polynomial equation has a root (a + √b), then we can say that the conjugate of (a + √b), i.e. (a - √b) will also be another root of the polynomial.
Step-by-step explanation:
The irrational conjugate theorem states that if a polynomial equation has a root (a + √b), then we can say that the conjugate of (a + √b), i.e. (a - √b) will also be another root of the polynomial.
For example, if we consider a quadratic equation x² + 6x + 1 = 0, then two of its roots are - 3 + √8 and - 3 - √8 and they are conjugate of each other. (Answer)
Answer:
84
Step-by-step explanation:
Area of paralellogram: base x height
Now we multiply!!
6 x 14 = 84 :)
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Payment on Plan A = $300
x is the number of hours Jake works.
Payment on Plan B = Fixed charges + (charge per hour) × (number of hours worked)
= $150 + $6.25(x)
= 150 + 6.25x
Since, the payment on Plan B should be more than Plan A,
150 + 6.25x > 300
6.25x > 300 - 150
6.25x > 150
![x > \frac{150}{6.25}](https://tex.z-dn.net/?f=x%20%3E%20%5Cfrac%7B150%7D%7B6.25%7D)
x > 24
The minimum vale for x which satisfies this inequality is 25.
Hence, x = 25.