Consider this product. x^2-4x-21/3x^3+6x x^2+8x/x^2+11x+24 Which values are excluded values for the product?
Using the domain, it is found that x = -8 is excluded for the product.
The domain of a function is the set that contains all possible input values.
In a fraction, the denominator cannot be 0.In this problem, there are two fractions, and the points outside the domain, that is, the roots of the denominators, are excluded.
For the first fraction, they are:
[tex]3x^2 + 6x = 0[/tex]
[tex]3x(x + 2) = 0[/tex]
[tex]3x = 0 \rightarrow x = 0[/tex]
[tex]x + 2 = 0 \rightarrow x = -2[/tex]
Hence, x = -2(not an option) is excluded.
x = 0 can be factored with the numerator of the second fraction, so not excluded.For the second fraction, the roots of the denominator are:
[tex]x^2 + 11x + 24 = 0[/tex]
Which is a quadratic equation with coefficients [tex]a = 1, b = 11, c = 24[/tex], hence:
[tex]\Delta = b^2 - 4ac = 11^2 - 4(1)(24) = 121 - 96 = 25[/tex]
[tex]x_1 = \frac{-b - \sqrt{\Delta}}{2a} = \frac{-11 - 5}{2} = -8[/tex]
[tex]x_2 = \frac{-b + \sqrt{\Delta}}{2a} = \frac{-11 + 5}{2} = -3[/tex]
x = -3 can be factored with the numerator of the first fraction, so only x = -8 is excluded.
A similar problem is given at https://brainly.com/question/13136492
Answer:
0, -3, -8
Step-by-step explanation:
The sales tax rate is 10% if ruby buys a toaster priced at 34.72 what will be the total cost including tax
1.
Which of the following equations describes the graph?
A. y= -x^2 + 1
B. y= x^2 - 1
C. y= x^2 + 1
D. y= -x^2 - 1
Answer:
A. y= -x^2 + 1
Step-by-step explanation:
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Down
Vertex:
(
0
,
1
)
Focus:
(
0
,
3
4
)
Axis of Symmetry:
x
=
0
Directrix:
y
=
5
4
x
y
−
2
−
3
−
1
0
0
1
1
0
2
−
3
________________________________
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Vertex:
(
0
,
−
1
)
Focus:
(
0
,
−
3
4
)
Axis of Symmetry:
x
=
0
Directrix:
y
=
−
5
4
x
y
−
2
3
−
1
0
0
−
1
1
0
2
3
__________________
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Vertex:
(
0
,
1
)
Focus:
(
0
,
5
4
)
Axis of Symmetry:
x
=
0
Directrix:
y
=
3
4
x
y
−
2
5
−
1
2
0
1
1
2
2
5
_________________
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Down
Vertex:
(
0
,
−
1
)
Focus:
(
0
,
−
5
4
)
Axis of Symmetry:
x
=
0
Directrix:
y
=
−
3
4
x
y
−
2
−
5
−
1
−
2
0
−
1
1
−
2
2
−
5
A sunflower grows to be 200cm tall. After four weeks, it was 30% of this height. How tall
was the sunflower after four weeks?
Answer:
60cm
Step-by-step explanation:
200*3/10=20*3=60
use a point on the number line to represent a number ot whose absulute vaue is?
Answer:
A
Step-by-step explanation:
please help asap…………
Answer:
linear
Step-by-step explanation:
this equation will form a straight line and for each 'y' value there will only be one unique 'x' value
Please help. Flow chart proof. I'll give brainliest
Step-by-step explanation:
Statement | Reason
CB=AB Given
DBC=DBA Given
DB = DB Reflexive Property
/_\ DBC
=~
/_\DBA SAS
Sorry for the formatting the =~ means congruent.
Which two integers is 129 between?
Answer:
128 130
Step-by-step explanation:
128 129 130
12. The number of miles, y, traveled varies directly as time, x. If a group of tubers floating down the river traveled 9 miles
in two hours, how far would they travel in 5 hours? Write and solve a direct variation equation for this situation
y= 9/2x; x=10/9
y=2/9x; x=22.5
y=2/9x; y=10/9
Oy=9/2; y=22.5
Answer: y=2/9x; x=22.5
Step-by-step explanation:
Float speed is 9 miles/2 hours, or (9/2) miles/hour (mph).
Distance,y = (Speed)*(Time, x)
y = (Speed)x
y = (9/2)x
If x = 5 hours,
y = (9/2)*5, or 22.5
y=2/9x; x=22.5
What is it. As a fraction
Step-by-step explanation:
i Don't know?is that the questions?
PERSONALLY I thought it would be 98 Bc like yk..BUT I FEEL LIKE IM WRONGsend help beggin cryin throwin up I hate geometry so much
Answer:
98
Step-by-step explanation:
It is 98! x and the 98 degree angle are corresponding angles and m is parallel to n. dw I hate geometry too.
Stella is ordering a taxi from an online taxi service. The taxi charges $3 just for the pickup and then an additional $1.75 per miles driven. How much would a taxi ride cost if Stella is riding for 2 miles? How much would a taxi ride cost that is m miles long?
Answer:
$ 6.50
Step-by-step explanation:
Based on the given conditions, formulate 3+2 × 1.75
calculate the first two terms 3+3.5
calculate the first two terms 6.5
Answer: 6.5
Which line is perpendicular to the line x =
į
?
O A. X = -2y
B. y = - 2x
O
C. X = -2
O
D. y = 2
Answer:
Option D
Hope this helps!
Simplify (5p+1.49)-(2p+6.49)
Thank you!
pls help!
Manny charges $1.25 for a cup of lemonade at the lemonade stand. He sells 9 cups. How much money does Manny collect?
Answer:
$11.25
Step-by-step explanation:
1.25 × 9 = 11.25
Answer:
$11.25
Step-by-step explanation:
if u have 105 in 7 days what would you have in 1 day?
Answer:
I would have 15.
Step-by-step explanation:
In 7 days, I would have 105.
In 1day, I would have 105/7
=15
If Kevin has 3/4 of a rope in needs 4/8 of a rope how much more rope does he need.
If he needs 4/8 then he doesn't need anymore rope because 3/4 is equal to 6/8
The rule for a pattern is "diamond, square, triangle, circle." If this pattern continues, what will be the thirteenth shape?
Answer:
diamond
Step-by-step explanation:
Answer:
diamond
Step-by-step explanation:
Ms. Miller decides gives a test worth 120 points and contains 36 questions. Multiple-choice questions are worth 3 points and open-response questions are worth 5 points. How many of each type of question are there?
hent "three squared times the sum of five and seven".
Answer:180
Step-by-step explanation:
Answer the following problem using the SOLVE Method Math Club members are selling Math club members are selling Pi Day T-shirts for $7.50 each. The goal is to raise $500 by Friday. The figure below shows how much they have raised by Wednesday. What is the minimum number of T-shirts they must still sell in order to reach their goal? Explain your reasoning.
The minimum number of T-shirt that they must sell to raise $500 is 67 T-shirts
Let x represent the number of Pi Day T-shirts sold.
They are selling Pi Day T-shirts for $7.50 each, So to raise $500:
7.5x > 500
Dividing through by 7.5:
7.5x / 7.5 > 500 / 7.5
x > 66.7
Hence, the minimum number of T-shirt that they must sell to raise $500 is 67 T-shirts
Find out more at: https://brainly.com/question/25285332
please help me i don’t understand
Answer:
a
Step-by-step explanation:
The answers are ad||cd, be=de,
Answer:
Its AD||CD
Step-by-step explanation:
PLS HELP WILL MARK BRAINLIEST, PLS HURRY
please helpp and show your work pleasee
Answer:
[tex]b=27[/tex]
Step-by-step explanation:
[tex]\frac{b}{3} -7=2\\\\\frac{b}{3}=9\\\\b=27[/tex]
Invisible Steps:
Add 7 on each side of the equation:
[tex]\frac{b}{3}-7+7=\frac{b}{3}\\2+7=9[/tex]
Multiple 3 on each side of the equation:
[tex]\frac{b}{3}[/tex] · [tex]3=b[/tex]
[tex]9[/tex] · [tex]3=27[/tex]
can you HELP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! i give you 50
hope it helps!!!!!!!!!!!!!!!!!!!!!!
What is 4+2(5)+(-3)=
Answer:
The answer is 11, I think, hope this helps!
Step-by-step explanation:
=================================================
Solve.
[tex] \tt4 + 2(5) + ( - 3) \\ = \tt4 + 10 + ( - 3) \\ = \tt14 + ( - 3) \\ = \underline{ \boxed{\tt 11}}[/tex]
Therefore, the answer is 11.
=================================================
[tex] \underline{{\sf \: \: \#CarryOnLearning! \: \:}} [/tex]
102 = V - 66
Addition and subtraction equation practice
Answer:
[tex]V=168[/tex]
Step-by-step explanation:
[tex]Here,102=V-66[/tex]
[tex]102+66=V[/tex]
[tex]168=V[/tex]
Sorry If it is wrong.....
see the attachment
Why rectangular coordinates are better than polar.
Answer:
Rectangular coordinates, or cartesian coordinates, come in the form (x,y).. Polar coordinates, on the other hand, come in the form (r,θ). Instead of moving out from the origin using horizontal and vertical lines, we instead pick the angle θ, which is the direction, and then move out from the origin a certain distance r.
Find the measures of angles 1 and 2.
Answer:
angle one:100 degrees
angle two:70 degrees
Step-by-step explanation: so angle two and the angle with 70 degrees are alternate angles, so they would be the same. at this point if you subtracted 70 from 180 because angle b is 180 degrees, you would get 110, so then you would have three angles, and it wouldn't be too hard to find the fourth, which is 100 degrees.