Answer:
It is not a function because both (2,2) and (2,-2) have the same x-coordinate.
Step-by-step explanation:
To be a function for the same x value there should NOT be two different y values.
So, in (2, 2) and (2,-2)
For the same x value 2, there are two different y values 2, -2.
So, this is not a function.
Answer:
m∠ABE = 27°
Step-by-step explanation:
* Lets look to the figure to solve the problem
- AC is a line
- Ray BF intersects the line AC at B
- Ray BF ⊥ line AC
∴ ∠ABF and ∠CBF are right angles
∴ m∠ABF = m∠CBF = 90°
- Rays BE and BD intersect the line AC at B
∵ m∠ABE = m∠DBE ⇒ have same symbol on the figure
∴ BE is the bisector of angle ABD
∵ m∠EBF = 117°
∵ m∠EBF = m∠ABE + m∠ABF
∵ m∠ABF = 90°
∴ 117° = m∠ABE + 90°
- Subtract 90 from both sides
∴ m∠ABE = 27°
Answer:
Therefore the required polynomial is
M(x)=0.83(x³+4x²+16x+64)
Step-by-step explanation:
Given that M is a polynomial of degree 3.
So, it has three zeros.
Let the polynomial be
M(x) =a(x-p)(x-q)(x-r)
The two zeros of the polynomial are -4 and 4i.
Since 4i is a complex number. Then the conjugate of 4i is also a zero of the polynomial i.e -4i.
Then,
M(x)= a{x-(-4)}(x-4i){x-(-4i)}
=a(x+4)(x-4i)(x+4i)
=a(x+4){x²-(4i)²} [ applying the formula (a+b)(a-b)=a²-b²]
=a(x+4)(x²-16i²)
=a(x+4)(x²+16) [∵i² = -1]
=a(x³+4x²+16x+64)
Again given that M(0)= 53.12 . Putting x=0 in the polynomial
53.12 =a(0+4.0+16.0+64)
=0.83
Therefore the required polynomial is
M(x)=0.83(x³+4x²+16x+64)
Answer:
<em>I disagree with both solutions. The value of b that will make the expression correct is -30</em>
Step-by-step explanation:
Given the equation solved my Mai and Tyler expressed as:
2/5 b + 1 = -11
We are to check the veracity of the solutions;
2/5 b + 1 = -11
Subtract 1 from both sides of the expression
2/5 b + 1 -1 = -11-1
2/5 b = -12
Cross multiply
2b = -12 * 5
2b = -60
Divide both sides by 2
2b/2 = -60/2
b = -30
<em>Since the solution b = -25 and -28 does not tally with the gotten solution, I disagree with the both solutions</em>
Answer:
-28
Step-by-step explanation:
h(4)=-2(4)^2+4
-32+4=-28
