Answer:
4t^2 - 32t + 64.
Step-by-step explanation:
f(x) = 4x2 – 8x + 4
f(t - 3) = 4(t - 3)^2 - 8(t - 3) + 4
= 4(t^2 - 6t + 9) - 8t + 24 + 4
= 4t^2 - 24t + 36 - 8t + 28
= 4t^2 - 32t + 64.
Answer:
<u> 105</u> students could prefer kiwi if there are 357 total students.
Step-by-step explanation:
Given:
The ratio of students who prefer pineapple to students who prefer kiwi is 12 to 5.
Now, to find number of students prefer kiwi if there are 357 total students.
Let the students prefer pineapple be 
And the students prefer kiwi be 
Total students = 357.
So, we set an equation to get the number of students who prefer kiwi.
According to question:


<em>Dividing both sides by 17 we get:</em>

<em>Thus, students prefer kiwi are:</em>


Therefore, 105 students could prefer kiwi if there are 357 total students.
Answer: The axis of symmetry is x=1.
Explanation:
The given function is,

The degree of the equation is 2. SInce it is a quadratic function therefore the graph of the function is a parabola.
The axis of symmetry of a parabolic function
is a vertical line,

Since the value of a is 5m b is -10 and c is 7, So the axis of symmetry is,



Therefore, the axis of symmetry is x=1.
Answer: y= 3 times 2 to the power x. Second answer
Step-by-step explanation:
if you plug in 0 for x, y= 3x 1= 3
if you plug in 1 for x y= 3 x 2 = 6
Look at the x values and y values
(0,3) and (1, 6) on the graph. It matches answer number 2. Remember, 2 raised to the power 0 = 1 and 3 times 1 = 3. And 2 raised to the power 1 =2 and 3 times 2 = 6.