Answer:
10^4
Step-by-step explanation:
lets say the number is 1.0 if you where to move the decimal to the right 4 place the number would then be 10,000.0. basically if it says 10^4 add 4 0's
D) infinitely Many solutions
D) infinitely Many solutions
D) infinitely Many solutions
D) infinitely Many solutions
D) infinitely Many solutions
D) infinitely Many solutions
D) infinitely Many solutions
D) infinitely Many solutions
D) infinitely Many solutions
D) infinitely Many solutions
D) infinitely Many solutions
Answer:
-5 ; 1/2
Step-by-step explanation:
<u>GIVEN :-</u>
- A quadratic polynomial f(x) = 2x² + 9x - 5
<u>TO FIND :-</u>
- Zeroes of f(x) = 2x² + 9x - 5
<u>GENERAL CONCEPTS TO BE USED IN THIS QUESTION :-</u>
Lets say there's a quadratic polynomial f(x) = ax² + bx + c , whose factors are (x - α) & (x - β). To find the values of x for which f(x) will be zero , equate the factors of f(x) with 0.
⇒ (x - α) = 0 & (x - β) = 0
⇒ x = α & x = β
Hence, it can be concluded that if (x - α) & (x - β) are factors of f(x) , then α & β are the roots of f(x).
<u>SOLUTION :-</u>
Factorise f(x) = 2x² + 9x - 5.
![=> 2x^2 + 10x - x - 5](https://tex.z-dn.net/?f=%3D%3E%202x%5E2%20%2B%2010x%20-%20x%20-%205)
- Take '2x' common from first two terms & '-1' from last two terms.
![=> 2x(x + 5) - 1(x + 5)](https://tex.z-dn.net/?f=%3D%3E%202x%28x%20%2B%205%29%20-%201%28x%20%2B%205%29)
- Take (x + 5) common from the whole expression.
![=> (x + 5)(2x - 1)](https://tex.z-dn.net/?f=%3D%3E%20%28x%20%2B%205%29%282x%20-%201%29)
So , the factors of f(x) are (x + 5) & (2x - 1). Now equate the factors with zero.
⇒ (x + 5) = 0 & (2x - 1) = 0
⇒ x = -5 & x = 1/2
∴ The zeroes of f(x) = 2x² + 9x - 5 are (-5) & (1/2)
<u>VERIFICATION :-</u>
1) Put x = -5 in f(x) = 2x² + 9x - 5
⇒ f(-5) = 2(-5)² + 9×(-5) - 5
= 50 - 45 - 5
= 50 - 50
= 0
2) Put x = 1/2 in f(x) = 2x² + 9x - 5
![f(\frac{1}{2} ) = 2 \times (\frac{1}{2} )^2 + 9 \times \frac{1}{2} - 5](https://tex.z-dn.net/?f=f%28%5Cfrac%7B1%7D%7B2%7D%20%29%20%3D%202%20%5Ctimes%20%28%5Cfrac%7B1%7D%7B2%7D%20%29%5E2%20%2B%209%20%5Ctimes%20%5Cfrac%7B1%7D%7B2%7D%20%20-%205)
![= \frac{1}{2} + \frac{9}{2} - 5](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B1%7D%7B2%7D%20%2B%20%5Cfrac%7B9%7D%7B2%7D%20-%205)
![= \frac{ 1 + 9 - 10}{2}](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B%201%20%2B%209%20-%2010%7D%7B2%7D)
![= \frac{0}{2}](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B0%7D%7B2%7D)
![= 0](https://tex.z-dn.net/?f=%3D%200)
Answer:
6
Step-by-step explanation:
this is how I calculate:
2x + x = 9
3x=9
x=3 girls
2(3)=6
6 boys
Answer:
400 meters
Step-by-step explanation:
Let X = unknown.
tan28 =X/750
0.5317= X/750
Cross multiply
0.5317×750= X
x = 398.775meters or 400( to the nearest whole number)