The solutions to the equation
are k = 1 and 8
The given equation is:

Square both sides of the equation

Expand the left side of the equation above

Write the quadratic equation in standard form

Factor the quadratic equation

Use the zero product property
k - 8 = 0
k = 8
k - 1 = 0
k = 1
The solutions to the equation
are k = 1 and 8
Learn more here: brainly.com/question/25840704
The quadratic function in vertex form is
.
Solution:
The equation of a quadratic in vertex form is
.
where (h, k) are the coordinates of the vertex and "a" is a multiplier.
Here (h, k) = (5, –2)
Substitute this in the vertex form.

– – – – (1)
Passes through the point (7, 0).
Here x = 7 and y = 0.
Substitute this in equation (1), we get


Add 2 on both sides.
2 = 4a
Divide 2 on both sides, we get

Substitute the value of a in equation (1),

The quadratic function in vertex form is
.
Answer:
a is correct
Step-by-step explanation:
2^2/2^-1
=2^2-(-1)
=2^2+1
=2^3
Answer:
42
Step-by-step explanation:
Number of students whose favorite class is Math:
60*0.85=51
Number of students whose favorite class is Science:
15% is equal to 0.15.
60*0.15=9
Subtract number of students who like science from number of students who like math.
51-9=42
42 more students in the survey prefer math over science.