Answer:
Taylor has 14 Nickels and 7 Quarters
Step-by-step explanation:
A nickel is equivalent to 5 cent while a quarter is equivalent to 25 cents.
If the number of nickels Taylor has is 2x then the number of quarters is x
Given that the total value is 245 cents,
5(2x) + 25x = 245
10x + 25x = 245
35x = 245
x = 7, 2x = 2 × 7 = 14
It means Taylor has 14 Nickels and 7 Quarters
Answer:
Hopes it helps
Step-by-step explanation:
The Quadratic Polynomial is
2 x² +x -4=0
Using the Determinant method to find the roots of this equation
For, the Quadratic equation , ax²+ b x+c=0
(b) x²+x=0
x × (x+1)=0
x=0 ∧ x+1=0
x=0 ∧ x= -1
You can look the problem in other way
the two Quadratic polynomials are
2 x²+x-4=0, ∧ x²+x=0
x²= -x
So, 2 x²+x-4=0,
→ -2 x+x-4=0
→ -x -4=0
→x= -4
∨
x² +x² +x-4=0
x²+0-4=0→→x²+x=0
→x²=4
x=√4
x=2 ∧ x=-2
As, you will put these values into the equation, you will find that these values does not satisfy both the equations.
So, there is no solution.
You can solve these two equation graphically also.
Answer:
The object will reach its highest point 0.5 seconds after it has been thrown.
Step-by-step explanation:
The object reaches its maximum height when velocity is equal to zero, the velocity is the derivative of function height. That is:
(1)
Where
is the velocity of the object at time
, in feet per seconds.
If we know that
and
, then the time when object reaches its highest point is:



The object will reach its highest point 0.5 seconds after it has been thrown.
Answer:

Step-by-step explanation:
Step 1: Build the expression in numerical form.
Step 2: Distribute the negative sign.
Step 3: Combine like terms.
Therefore, the answer is
.
Answer:
Slope is 2/3
Step-by-step explanation:
What you can do is use the first two coordinates. This would get the formula to look like this:

From here you get ⅔ for the slope.