Answer:
It will take 22 seconds for the thermometer to hit the ground.
Step-by-step explanation:
A thermometer falls from a weather balloon at a height of 7,744 ft.
This means that the initial height is of 7744ft.
h(t) = -16t2 + initial height
So
How many seconds will it take for the thermometer to hit the ground?
This is t for which 
. So
It will take 22 seconds for the thermometer to hit the ground.
Answer:
59.4
Step-by-step explanation:
Answer:
a) b = 8, c = 13
b) The equation of graph B is y = -x² + 3
Step-by-step explanation:
* Let us talk about the transformation
- If the function f(x) reflected across the x-axis, then the new function g(x) = - f(x)
- If the function f(x) reflected across the y-axis, then the new function g(x) = f(-x)
- If the function f(x) translated horizontally to the right by h units, then the new function g(x) = f(x - h)
- If the function f(x) translated horizontally to the left by h units, then the new function g(x) = f(x + h)
In the given question
∵ y = x² - 3
∵ The graph is translated 4 units to the left
→ That means substitute x by x + 4 as 4th rule above
∴ y = (x + 4)² - 3
→ Solve the bracket to put it in the form of y = ax² + bx + c
∵ (x + 4)² = (x + 4)(x + 4) = (x)(x) + (x)(4) + (4)(x) + (4)(4)
∴ (x + 4)² = x² + 4x + 4x + 16
→ Add the like terms
∴ (x + 4)² = x² + 8x + 16
→ Substitute it in the y above
∴ y = x² + 8x + 16 - 3
→ Add the like terms
∴ y = x² + 8x + 13
∴ b = 8 and c = 13
a) b = 8, c = 13
∵ The graph A is reflected in the x-axis
→ That means y will change to -y as 1st rule above
∴ -y = (x² - 3)
→ Multiply both sides by -1 to make y positive
∴ y = -(x² - 3)
→ Multiply the bracket by the negative sign
∴ y = -x² + 3
b) The equation of graph B is y = -x² + 3
Z & X = 21 degrees and y = 159 degrees
You need a common denominator in order to add/subtract fractions. for example:
1/4+3/2=?
1/4+6/4=7/4
what i did there was multiply 3/2 by 2/2 to get the denominator to equal 4. the reason it’s 2/2 is cause what you do to the bottom is what you do to the top.
3/2(2/2)= 6/4
