Answer:
I think it's 45 students
Step-by-step explanation:
Which of the following is the first correct step to write the above equation in the form (x − p)2 = q, where p and q are integers?
Subtract 5 from both sides of the equation
Add 3 to both sides of the equation
Add 5 to both sides of the equation
Subtract 3 from both sides of the equation
The given quadratic equation can be represented in the form
by adding 3 to both sides of the equation.
The polynomial equation whose highest degree is two is called a quadratic equation. The equation is given by
where .
The given quadratic equation is
Case 1: Subtract 5 from both sides of the equation
i.e.
⇒
The LHS of the above equation can not be expressed in form. Hence, it is not the correct step.
Case 2: Add 3 to both sides of the equation.
i.e.
⇒
⇒
⇒
The above equation is expressed in form where p = 4 and q = 3.
Case 3: Add 5 to both sides of the equation
i.e.
⇒
The LHS of the above equation can not be expressed in the . Hence, it is not the correct step.
Case 4: Subtract 3 from both sides of the equation
i.e.
⇒
The LHS of the above equation can not be expressed in the . Hence, it is not the correct step.
Hence, "Add 3 to both sides of the equation" is the correct step.
Learn more about quadratic equations here:
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Answer:
C
Step-by-step explanation:
p+q=7
B.-10
C.-11
D.-12
Answer:
D. -12
Step-by-step explanation:
if f=4x-9, and g=2x-3, and the value is (f+g), then we have to add the equations. This is equal to 6x-12. And then, in '(f+g)(0)', it is asking what is the y-value at x=0. Plug in 0 into the equation, and the y-value equals -12.
Answer:
2√39 cm
Step-by-step explanation:
ΔXYZ is an isosceles triangle & XY = XZ, therefore:
YX' = X'Z
= 20 ÷ 2
= 10 cm
ΔXYZ' is a right triangle, therefore:
XY² = YX'² + XX'²
16² = 10² + XX'²
XX'² = 256 - 100
XX' = √156
= 2√39 cm
Answer:
x=1
Step-by-step explanation:
2x-17x+15=0
Combine like terms
-15x +15 = 0
Add 15x to each side
-15x+15x+15=0+15x
15 = 15x
Divide by 15
15/15 = 15x/15
1 =x
Answer:
x=1
Step-by-step explanation:
x=1 because you need to isolate the variable by dividing each side factors that don't have a variable.