Answer: f(x) will have vertical asymptotes at x=-2 and x=2 and horizontal asymptote at y=3.
Step-by-step explanation:
Given function: [tex]f(x)=\dfrac{3x^2}{x^2-4}[/tex]
The vertical asymptote occurs for those values of x which make function indeterminate or denominator 0.
i.e. [tex]x^2-4=0\Rightarrow\ x^2=4\Rightarrow\ x=\pm2[/tex]
Hence, f(x) will have vertical asymptotes at x=-2 and x=2.
To find the horizontal asymptote , we can see that the degree of numerator and denominator is same i.e. 2.
So, the graph will horizontal asymptote at [tex]y=\dfrac{\text{Coefficient of }x^2\text{ in numerator}}{\text{Coefficient of }x^2\text{ in denominator}}[/tex]
i.e. [tex]y=\dfrac{3}{1}=3[/tex]
Hence, f(x) will have horizontal asymptote at y=3.
The sales tax in a major city is 8%. Find the total cost, including the tax charged on a purchase of $600.
Answer:
Step-by-step explanation:none
Answer: $648
Step-by-step explanation:
I need help ASAP please
Answer:
it's the third one.
Step-by-step explanation:
It should be a bold/filled circle on the line instead of an empty one.
Find the total surface area. rectangular prism 4 A. 700 m² B. 3,040 m² C. 135 m² D. 1,308 m²
Answer:
D
Step-by-step explanation:
The opposite faces of the prism are congruent , then
SA = areas of (top/bottom + front/ back + 2 sides )
= 2(19 × 16) + 2(19 × 10) + 2(16 × 10)
= 2(304) + 2(190) + 2(160)
= 608 + 380 + 320
= 1308 m² → D
The total Surface Area is 1308 m²
What is total Surface area?The total area occupied by the surfaces of an object is called its surface area. In geometry, different 3D shapes have different surface areas which can be easily calculated using the formulas that we will be learning in this article. The surface area is classified into two categories:
Lateral surface area or Curved surface areaTotal surface areaThe total surface area of a prism = Lateral surface area of prism + area of the two bases = (2 × Base Area) + Lateral surface area = (2 × Base Area) + (Base perimeter × height).
SA = areas of (top/bottom + front/ back + 2 sides )
= 2(19 × 16) + 2(19 × 10) + 2(16 × 10)
= 2(304) + 2(190) + 2(160)
= 608 + 380 + 320
= 1308 m²
Learn more about total surface area is :
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convert American $553 in Nepal rupees
Answer:
65,994.52 Nepalese Rupee
Step-by-step explanation:
using conversion rate 1 usd = 119.74 nepalese rupee
553*119.74
Solve for e 16-3e=7/5e+11.6
Answer:
e =1
Step-by-step explanation:
[tex]16-3e=\frac{7}{5} e +11.6\\4.4-3e=\frac{7}{5}e\\4.4=\frac{22}{5} e\\22=22e\\1=e[/tex]
solve for v. 27= -v/2
Answer:
v = -54
Step-by-step explanation:
27= -v/2
Multiply each side by -2
27 *-2= -v/2 *-2
-54 = v
Answer:
-54
Step-by-step explanation:
[tex]27=\frac{-v}{2}[/tex] .... Equation to start with
[tex]27 x 2= \frac{-v}{2} x2[/tex] ..... Cancelling out the denominator and multiplying on the other side
[tex]54 = -v[/tex] .... Multipling
[tex]-54 =v[/tex] ..... Solving for v, not -v, so bring the negative over to the other side
Hope you understood:)
Select the correct answer.
What is the value of x in the figure?
X
400
700
A. 40°
B. 70°
C.80°
D. 120°
E. 150°
Answer: x = 150
Step-by-step explanation:
See the liner pair of angle 70 will be 110 degrees.
Then using angle sum property third angle will be
Third angle = 180 - 150
Third angle of the triangle = 30
Now linear pair of the 30 degree angle
30+x = 180
x = 180-30
x = 150
Therefore answer is option e x = 150.
please click thanks and mark brainliest if you like :)
The measure of the value of angle x is 150°, and the correct option is E
What is the linear pair of angles?Linear pair of angles are formed when two lines intersect each other at a single point.
The angles are said to be linear if they are adjacent to each other after the intersection of the two lines.
BY applying linear pair angles;
[tex]\rm \angle 1+\angle 2=180\\\\70 +\angle 2=180\\\\ \angle 2=180-70\\\\ \angle 2=110\\\\[/tex]
The sum of the three angles is 180.
[tex]\rm \angle 1+\angle 2+ \angle 3=180\\\\ 110+40 +\angle 3=180\\\\150+\angle 3= 180\\\\\angle 3=180-130\\\\\angle 3=30[/tex]
The measure of the value of angle x is;
[tex]\rm 30+x = 180\\\\x = 180-30\\\\x = 150[/tex]
Hence, the measure of the value of angle x is 150°, and the correct option is E.
Learn more about linear pair angles here;
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PLEASE HELP!!! SUPER IMPORTANT TEST!! options shown are the same for each equation
Answer:
simply
addition property of equality
simplify
multiplication property of equality
What is the volume of the rectangular prism in simplest terms?
Answer:
V=w*h*l
Step-by-step explanation:
w=width
h=height
l=length
volume = w*h*l
volume = w*h*l
volume = w*h*l
Daily question:Help and I’ll make you brainliest and give you thanks show your work 11 points.
Answer:
y = 17x + 130$283 for 9 daysStep-by-step explanation:
The daily charge will be 17x for x days of rental. Added to the flat rate, the total becomes ...
y = 130 +17x
__
For 9 days, the cost is ..
y = 130 +17·9 = 130 +153 = 283 . . . . dollars charge for 9 days
Do the ratios 2/3 and 12/18 form a proportion?
yes
no
Answer:
Yes
Step-by-step explanation:
Because 12/18 = 2/3..(cancel 12 and 18 by 6)
Answer:
yes
Step-by-step explanation:
2x6=12
3x6=18
6 is the multiplying number
( the 2 equations are the same amount )
6,926,300,000 in scientific notation.
Answer:
6.9263 × 109
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
What is the answer to 1-x=16-4x and how did u get it?
Answer:
x=5
Step-by-step explanation:
1 - x = 16 - 4x
Rearrange :
-x +4x = 16 - 1
3x = 15
x = 5.
Hence, there is one solution : {5}
Answer:
x=5
Step-by-step explanation:
1-x=16-4x
-1 -1
-x=15-4x
+4x. +4x
3x=15
/3. /3
x=5
A to the power of 6 = a to he power 2
Answer:
a = 0, i, -i, 1, -1
Step-by-step explanation:
What we're basically looking for here is a number, that when multiplied by itself any amount of times, will get us with the same number.
We know that 0 times and number will be 0, so 0 works.
1 times any number will be 1, and -1 would also work as -1² = 1.
i would also work as it represents the square root of a negative, and -i would also work.
Hope this helped!
help..lol i dont need help just to lazy
Answer:
C. -2(-2)
Step-by-step explanation:
A. -2(-1/5) = 1
B. -2(1/2)=1
C. -2(-2)=4
D. -2(2)=-4
What is 4,328.12 in expanded form?
help me please it's important!!
Answer:
Does the answer help you?
Answer:
102 cm³
Step-by-step explanation:
Volume of R1:
length = 7 cm
Width = 3 cm
Height = 2 cm
Volume = 7* 3 * 2 = 42 cm³
Volume of R2:
length = 5 cm
Width = 4 cm
Height = 3 cm
Volume = 5 * 4 * 3= 60 cm³
Volume of the figure = 42 + 60 = 102 cm³
Can someone please give me the answer!! It isnt a test
Step-by-step explanation:
come on ! this is so simple. with just a tiny little bit of thinking you get this yourself.
1 inch = 50 miles.
so, how many miles are then 2 inches ? hmmm ?
could it be that it is just 2×1 inch = 2×50 miles ?
yes ! it is that simple !
2×50 = 100 miles.
and so, how many miles are 3 inches ?
uuuuuhhhh !
what do you think ?
3×1 inch = 3×50 miles
yeah !
3×50 = 150 miles !
yes, so simple, so easy.
this is like the old questions like "every child gets 2 pieces of candy. there are 6 children. how many pieces of candy do we need ?"
____×____=126
Fill the blank pls I need it fast
Answer:
Answer for this is 62 * 2 = 126
Step-by-step explanation:
Answer:
14×9=126
Step-by-step explanation:
how do you explain it lol
I need this quick please
Answer:
Note the same measures marked in the picture.(8)
EF = EG = 3(9)
AG = AE + EG = EB + EG = 8 + 3 = 11(10)
AD =FA - DF = FA - EG = 7 - 3 = 4(11)
m∠EFG = m∠EGF = 28(12)
DF = EF = 3All the edges of a cube have the same length. Tony claims that the formula SA = 6s, where s is the length of
each side of the cube, can be used to calculate the surface area of a cube.
a. Draw the net of a cube to determine if Tony's formula is correct.
b. Why does this formula work for cubes?
Frances believes this formula can be applied to calculate the surface area of any rectangular prism. Is
she correct? Why or why not?
d. Using the dimensions of Length, Width and Height, create a formula that could be used to calculate the
surface area of any rectangular prism, and prove your formula by calculating the surface area of a
rectangular prism with dimensions L = 5m, W = 6m and H=8m.
Answer:
Here's what I get
Step-by-step explanation:
a. Net of a cube
Fig. 1 is the net of a cube
b. Does the formula work?
Tony's formula works if you ignore dimensions.
There are six squares in the net of a cube.
If each side has a unit length s, the total area of the cube is 6s.
c. Will the formula work for any rectangular prism?
No, because a rectangular prism has sides of three different lengths — l, w, and h — as in Fig. 2.
d. Area of a rectangular prism
A rectangular prism has six faces.
A top (T) and a bottom (b) — A = 2×l×w
A left (L) and a right (R) — A = 2×l×h
A front (F) and a back (B) — A = 2×w×h
Total area = 2lw + 2lh + 2wh
If l = 5 m, w = 6 m and h = 8 m,
[tex]\begin{array}{rl}A &=& \text{2$\times$ 5 m $\times$ 6 m + 2$\times$ 5 m $\times$ 8 m + 2 $\times$ 6 m $\times$ 8 m}\\&=& \text{60 m}^{2} + \text{80 m}^{2} + \text{96 m}^{2}\\&=& \textbf{236 m}^{2}\\\end{array}[/tex]
I need the answers for my bro
Answer:
1)He will use 144 squares in his design
2)He will use 36 squares in his design
Step-by-step explanation:
1) There is 12 squares going horizontally and 12 squares going vertically meaning the total amount of squares needed is:
12 x 12 = 144 inch squares
2) If he wants to cover a smaller box that is 1/2 feet big than he would take the square of 1/2 which is 1/4 and multiple it to the original answer to get the answer of the new question
144 x (1/4) = 36 inch squares
If f(x)=7 find x=-3
A.4
B.-3
C.7
D.-4
Answer: the answer to your question is 7
Step-by-step explanation:
A prepaid phone card has a balance of $22.40 remaining. If calls are $0.035 per minute, which equation represents the number of minutes, m, you may talk using the card?
m/.035 = 22.40
22.40m = 0.035
m/22.40 = 0.035
0.035m = 22.40
Answer:
0.035m = 22.40
Find the value of the variable. If your answer is not an integer, leave it in simplest radical form.
[tex]5\sqrt{2}[/tex]
[tex]\frac{5\sqrt{2} }{2}[/tex]
[tex]5\sqrt{3}[/tex]
[tex]\frac{5\sqrt{3}}{2}[/tex]
Answer:
[tex]$\frac{5\sqrt{2} }{2}$[/tex]
Step-by-step explanation:
[tex]x: \text{opposite side of the angle of 45\º}[/tex]
[tex]5: \text{hypotenuse of the right triangle}[/tex]
[tex]$\sin(\theta)=\frac{\text{opp}}{\text{hyp}} \Rightarrow \sin(45\º)=\frac{x}{5} $[/tex]
[tex]$\text{Once }\sin(45\º)=\frac{\sqrt{2} }{2} $[/tex]
[tex]$\frac{\sqrt{2} }{2} =\frac{x}{5} \Rightarrow 2x=5\sqrt{2} \Rightarrow x=\frac{5\sqrt{2} }{2} $[/tex]
You can just remember that 5 is the diagonal of a square of side length x.
[tex]$5=x\sqrt{2} \Rightarrow x=\frac{5}{\sqrt{2} } \Rightarrow x=\frac{5}{\sqrt{2} } \cdot \frac{\sqrt{2} }{\sqrt{2} } = \frac{5\sqrt{2} }{2} $[/tex]
Is the statement [x]=[x+1] true for all real numbers
Answer:not true
Step-by-step explanation:
To say not true we need only one example so we can take x as -5
[-5]= [-5+1]
5 not equal with 4
pls solve fast pls help
Answer:
The Answer should be 6%
Step-by-step explanation:
Given,
MP =1500 and Discount =10%
So, SP = 1500 × 90% =1350
We know, profit = [tex]\frac{sp-cp}{cp}[/tex] × 100%
=>20 =[tex]\frac{1350-cp}{cp}[/tex] × 100
=>CP = 1125
Now, if profit =12%
then, SP' = 1260 ;(using previous equation for profit and CP=1125)
So, SP' = MP × (100 -Discount )
∴ Discount = 16% ;(SP' = 1260 and MP = 1500)
So, Discount should be increased = 16% - 10% = 6%
Pls mark this as the brainliest
Please answer this question now
Answer:
76 degrees.
Step-by-step explanation:
Let as consider O is the center of the circle . So from the figure it is clear that
[tex]\angle AOB=44^{\circ}[/tex]
[tex]\angle COD=118^{\circ}[/tex]
By central angle theorem, central angle subtended by an arc is twice of inscribed angle of the same arc.
We know that, [tex]\angle BAD=97^{\circ}[/tex] and angle BOD is the central angle subtended by arc BD.
[tex]\angle BOD=2\times \angle BAD[/tex]
[tex]\angle BOD=2\times 97^{\circ}[/tex]
[tex]\angle BOD=194^{\circ}[/tex]
Now,
[tex]\angle BOD=\angle BOC+\angle COD[/tex]
[tex]194^{\circ}=\angle BOC+118^{\circ}[/tex]
[tex]194^{\circ}-118^{\circ}=\angle BOC[/tex]
[tex]76^{\circ}=\angle BOC[/tex]
[tex]m(arc(BC))=76^{\circ}[/tex]
Therefore, the measure of arc BC is 76 degrees.
What is the standard form of function f ?
Answer:
f(x) = 4x² + 48x + 149
Step-by-step explanation:
f(x) = 4(x + 6)² + 5
The above expression can be written as: f(x) = ax² + bx + c, by doing the following:
1. Expand (x + 6)²
(x + 6)² = (x + 6)(x + 6)
(x + 6)(x + 6)
x(x + 6) + 6(x +6)
x² + 6x + 6x + 36
x² + 12x + 36
(x + 6)² = x² + 12x + 36
2. Substitute x² + 12x + 36 for (x + 6)² in
f(x) = 4(x + 6)² + 5
This is illustrated below:
f(x) = 4(x + 6)² + 5
(x + 6)² = x² + 12x + 36
f(x) = 4(x² + 12x + 36) + 5
Clear bracket
f(x) = 4x² + 48x + 144 + 5
f(x) = 4x² + 48x + 149
Therefore, the standard of the function:
f(x) = 4(x + 6)² + 5
is
f(x) = 4x² + 48x + 149
Which function has only one x-intercept at (-6, 0)?
Of(x) = x(x-6)
O f(x) = (x - 6)(x - 6)
f(x) = (x + 6)(x - 6)
Of(x) = (x + 6)(x + 6)
Answer:
f(x) = (x + 6)(x + 6)
f(x)=0
x+6=0 ⇒ x=-6
Set (x+6)(x+6) equal to zero and solve each equation for x. We really only have one equation and it would be x+6 = 0 which solves to x = -6.
Plug x = -6 into f(x) and you would get f(x) = 0.