Answer:
3 points: x = 1, x = 2 and x = 4
1 point: x = 6
Cross
Step-by-step explanation:
Points to remember:
- A zero of odd multiplicity will cross through the x-axis
- A zero of event multiplicity will only touch the axis i.e. be tangent to it.
The given zeros are:
- 1 with multiplicity of 1 (Odd Multiplicity)
- 2 with multiplicity of 3 (Odd Multiplicity)
- 4 with multiplicity of 1 (Odd Multiplicity)
- 6 with multiplicity of 2 (Even Multiplicity)
The graph will cross x-axis at zeros with odd multiplicity. Since zeros with odd multiplicity are 3, the graph will cross the x-axis at <u>3 points</u>: x = 1, x = 2 and x = 4
Similarly, the zero of even multiplicity is 1, so the graph will touch the x-axis at <u>1 point</u> only: x = 6
At the zero of 2, the graph of the function will <u>cross</u> the x-axis.
Multiply numerator and denominator by sin(x) * cos(x), getting:
((sin(x) * cos(x)) - cos^2(x) / (((sin^2(x)) - (sin(x) * cos(x))) =
(cos(x) * (sin(x) - cos(x)))
------------------------------------
(sin(x) * (sin(x) - cos(x)))
and after you cancel the two identical terms (sin(x) - cos(x)), you have:
cos(x)
----------- = cot(x) <--------------- Answer
sin(x)
4y - 9 = 3
add 9 to both sides
4y = 12
divide both sides by 4 so 4 divided by 4 is one and 12 divided by 4 is 3 thus getting your answer of 3
y=3
X= 1 number
Y= a number that is 1 less than x
Y= x-1
The sum of squares=
X^2 + (x-1)^2 = x^2 + x^2 - 2x + 1
X^2 + x^2 - 2x + 1 = 2x^2 - 2x + 1
Assuming that integers = numbers. We could try some values
When x = 0, the sum of squares = 1
When x = -1, the sum of squares = 4
When x = 1, the sum of squares = 1
If you put this into a graph, it is a parabola and we see that the minimum value hits at x = 1/2.
To check this value:
2x^2 - 2x + 1 = 2·(1/4) - 2·(1/2) + 1
2·(1/4) - 2·(1/2) + 1 = 1/2 - 1 + 1
1/2 - 1 + 1 = 1/2
When you look back at the question, it asks for 2 answers
X= 1/2
X-1 = -1/2
What is the sum of their squares?
1/4 + 1/4 = 1/2
That fits with graph too.
Answers: 1/2 and -1/2
Hope this helps!!
Answer:
y
=qxe+b
Step-by-step explanation:
Write the Slope
−
Intercept Form of the eq through point (−5,2) and perpendicular to:
y
=x−2
Find the value of b using the formula for the equation of a line.
y
=mx+b
Replace the known value of m in the slope y-intercept form of the equation.
y
=(eq)⋅x+b
Simplify the slope y-intercept form of the equation.
Remove parentheses.
y
=(eq)⋅x+b
Simplify (eq)⋅x+b.
Multiply eq by x.
y
=eqx+b
Move e
.
y
=qxe+b
hopes this helps
UwU
