The answer is 374.25.
Hope I helped.
I think the answer is c due to the word bag being plural but I’m not sure.
Answer:
b
Step-by-step explanation:
Answer:![\frac{x^2 - 5}{4x + 1}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%5E2%20-%205%7D%7B4x%20%2B%201%7D%20)
, x ≠ -1/4
Explanation:We are given that:
f (x) = 4x + 1
g(x) = x² - 5
We want to find the value of (g/f)(x). This means that we will simply divide g(x) by f(x) as follows:
![( \frac{g}{f} )(x) = \frac{g(x)}{f(x)} = \frac{x^2 - 5}{4x + 1}](https://tex.z-dn.net/?f=%28%20%5Cfrac%7Bg%7D%7Bf%7D%20%29%28x%29%20%3D%20%20%5Cfrac%7Bg%28x%29%7D%7Bf%28x%29%7D%20%3D%20%20%5Cfrac%7Bx%5E2%20-%205%7D%7B4x%20%2B%201%7D%20)
Now, we should note that any function is undefined if its denominator is equal to zero.
This means that for our current function:
4x + 1 cannot be equal to zero
4x + 1 = 0
4x = -1
x = -1/4
This means that the value of x cannot be -1/4, otherwise, our function would be undefined.
Based on the above, the last option is the correct one.
Hope this helps :)
Answer:
{8 cm, 15 cm, 17 cm}
Step-by-step explanation:
we know that
The length sides of a right triangle must satisfy the Pythagoras Theorem
so
![c^2=a^2+b^2](https://tex.z-dn.net/?f=c%5E2%3Da%5E2%2Bb%5E2)
where
c is the greater side (the hypotenuse)
a and b are the legs (perpendicular sides)
<u><em>Verify each case</em></u>
case 1) we have
{5 cm, 15 cm, 18 cm}
substitute in the formula
![18^2=5^2+15^2](https://tex.z-dn.net/?f=18%5E2%3D5%5E2%2B15%5E2)
----> is not true
therefore
Sean cannot make a right triangle with this set of lengths
case 2) we have
{6 cm, 12 cm, 16 cm}
substitute in the formula
![16^2=8^2+12^2](https://tex.z-dn.net/?f=16%5E2%3D8%5E2%2B12%5E2)
----> is not true
therefore
Sean cannot make a right triangle with this set of lengths
case 3) we have
{5 cm, 13 cm, 15 cm}
substitute in the formula
![15^2=5^2+13^2](https://tex.z-dn.net/?f=15%5E2%3D5%5E2%2B13%5E2)
----> is not true
therefore
Sean cannot make a right triangle with this set of lengths
case 4) we have
{8 cm, 15 cm, 17 cm}
substitute in the formula
![17^2=8^2+15^2](https://tex.z-dn.net/?f=17%5E2%3D8%5E2%2B15%5E2)
----> is true
therefore
Sean can make a right triangle with this set of lengths