Answer:
(2,0) (-6,0)
Step-by-step explanation:
Solve: ![0.5x^2+2x-6=0](https://tex.z-dn.net/?f=0.5x%5E2%2B2x-6%3D0)
The answer you get is:
x=2, x=-6
Hello!
When you dividing exponents with the same base you can subtract the exponents
7 - 2 = 5
The answer is
![9^{5}](https://tex.z-dn.net/?f=9%5E%7B5%7D%20)
Hope this helps!
Answer:No she does not
Step-by-step explanation:
8pens + 12pecils= 20writing inplements
20+8+12=40
20+8+12=60
You needed 3 sets of 8 pens and 3 sets of 12 pencils to get 60.
3*8=24
24 is less than 60, so she does not have enough pens for 60 students
Answer:
x1=(-4+5i)/2
x2=(-4-5i)/2
Step-by-step explanation:
4x^2 +16x+49=8
4x^2+16x+49-8=0
4x^2 +16x+41=0
a=4, b=16, c=41
x1=(-b+sqrt(b^2-4ac))/2a
x2=(-b-sqrt(b^2-4ac))/2a
x1=(-16+sqrt(16^2-4*4*41))/2*4
x1=(-16+sqrt(256-656))/8
x1=(-16+sqrt(-400))/8
x1=(-16+20i)/8
x1=(-4+5i)/2
x2=(-4-5i)/2
The given temperatures of 70 °F, 50 °F, and 35 °F, at the given 3, 3, and
6 days give the following step function;
![\begin{cases}f(x) = 70^{\circ } & \text{ if } 0 \leq x \leq 3 \\f(x) = 50^{\circ} & \text{ if } 3 < x \leq 6 \\ f(x) = 35^{\circ }& \text{ if } 6 < x \leq 12 \end{cases}](https://tex.z-dn.net/?f=%5Cbegin%7Bcases%7Df%28x%29%20%3D%2070%5E%7B%5Ccirc%20%7D%20%20%26%20%5Ctext%7B%20if%20%7D%200%20%5Cleq%20x%20%5Cleq%203%20%5C%5Cf%28x%29%20%3D%2050%5E%7B%5Ccirc%7D%20%26%20%5Ctext%7B%20if%20%7D%203%20%3C%20x%20%5Cleq%206%20%5C%5C%20f%28x%29%20%3D%2035%5E%7B%5Ccirc%20%7D%26%20%5Ctext%7B%20if%20%7D%206%20%3C%20x%20%5Cleq%2012%20%5Cend%7Bcases%7D)
- Please find attached the graph of the step function?
<h3>How can the step function be written?</h3>
The temperature at it is fermented in the first three days = 70 °F
From day 3 to 6 the temperature = 50 °F
From day 6 to day 12, the temperature at which it is kept in the freezer = 35 °F
The step function is therefore;
![\begin{cases}f(x) = 70^{\circ } & \text{ if } 0 \leq x \leq 3 \\f(x) = 50^{\circ} & \text{ if } 3 < x \leq 6 \\ f(x) = 35^{\circ }& \text{ if } 6 < x \leq 12 \end{cases}](https://tex.z-dn.net/?f=%5Cbegin%7Bcases%7Df%28x%29%20%3D%2070%5E%7B%5Ccirc%20%7D%20%20%26%20%5Ctext%7B%20if%20%7D%200%20%5Cleq%20x%20%5Cleq%203%20%5C%5Cf%28x%29%20%3D%2050%5E%7B%5Ccirc%7D%20%26%20%5Ctext%7B%20if%20%7D%203%20%3C%20x%20%5Cleq%206%20%5C%5C%20f%28x%29%20%3D%2035%5E%7B%5Ccirc%20%7D%26%20%5Ctext%7B%20if%20%7D%206%20%3C%20x%20%5Cleq%2012%20%5Cend%7Bcases%7D)
The graph of the above function created with MS Excel is attached
Learn more about step functions here:
brainly.com/question/2509505