Answer:
Step-by-step explanation:
Vertical Asymptote: x=2Horizontal Asymptote: NoneEquation of the Slant/Oblique Asymptote: y=x 3+23 Explanation:Given:y=f(x)=x2−93x−6Step.1:To find the Vertical Asymptote:a. Factor where possibleb. Cancel common factors, if anyc. Set Denominator = 0We will start following the steps:Consider:y=f(x)=x2−93x−6We will factor where possible:y=f(x)=(x+3)(x−3)3x−6If there are any common factors in the numerator and the denominator, we can cancel them.But, we do not have any.Hence, we will move on.Next, we set the denominator to zero.(3x−6)=0Add 6 to both sides.(3x−6+6)=0+6(3x−6+6)=0+6⇒3x=6⇒x=63=2Hence, our Vertical Asymptote is at x=2Refer to the graph below:enter image source hereStep.2:To find the Horizontal Asymptote:Consider:y=f(x)=x2−93x−6Since the highest degree of the numerator is greater than the highest degree of the denominator,Horizontal Asymptote DOES NOT EXISTStep.3:To find the Slant/Oblique Asymptote:Consider:y=f(x)=x2−93x−6Since, the highest degree of the numerator is one more than the highest degree of the denominator, we do have a Slant/Oblique AsymptoteWe will now perform the Polynomial Long Division usingy=f(x)=x2−93x−6enter image source hereHence, the Result of our Long Polynomial Division isx3+23+(−53x−6)
The 4-6 in the Parenthesis [2(4-6)2] (PEMDAS)
This question tells that the sky ride is a rectangle.
This means the perimeter or the total distance round the figure = 2L + 2B
= 2(4)+ 2(10)
=8+20
=28 feet
Anna rose 7 times
Distance rode= 7(28)
=196 feet
Answer:
The correct options are:
A, B, and E.
Step-by-step explanation:
A mathematical sentence (or a mathematical statement) is a sentence that can be true or false.
This is the only criteria we need to check, now let's analyze each option.
A: 4 - d = 12
This can be true or false, for example, if d = 0 the sentence is false because:
4 - 0 = 12
4 = 12 is false.
and if d = -8 the sentence is true, because:
4 - (-8) = 12
4 + 8 = 12
12 = 12
is true.
B: 4 - V > 2
This sentence can be true or false, same reasoning as before, we can find values of V such that this is true or false.
C: 3 + 2
Now, here we can't say if this is true or false, so this is not a mathematical sentence.
D: 59
Same as before, this is just a number.
E: 6 + a = 13
This can be true or false, depending on the value of a, then this is a mathematical sentence.
F: 12*x
Here we can not say if this is true or false, so this is not a mathematical sentence.
The correct options are:
A, B, and E.
