Answers
Answer:
D. (4,0) and (-4,0)
C. there is one discontinuity at x=3
Step-by-step explanation:
Roots can be found by setting f(x)=0:
f(x)=(x^2-16)/(x^2-2x-3)
0=(x^2-16)/(x^2-2x-3), multiply both sides by x^2-2x-3 to get rid of the denominator
0=x^2-16, use difference of squares to factor it
0=(x+4)(x-4)
x=4,-4
Therefore the roots are (4,0) and (-4,0)
Discontinuities are when f(x) is undefined, and f(x) is undefined when something is divided by 0
Set the denominator equal to 0:
0=x^2-6x+9, use the form a^2 - 2ab + b^2 to factor
0=(x-3)^2
x=3
Therefore, there is a discontinuity at x=3
Related Questions
A leisure aircraft is owned by the Broadland Flying Group which has 10 members. The costs of keeping the aircraft comprise maintenance costs (including insurance) and the running cost which is mainly fuel. Average fuel consumption is 9 miles per gallon. If the 10 members of the Group are to share costs equally, write down a formula to enable Gordon the treasurer to calculate the annual cost for each member if the aircraft travels n miles in a year, incurs maintenance costs of £M and fuel costs £3 a gallon.
Answers
Answer:
£(M + n/3) / 10
Step-by-step explanation:
Given that :
Number of members = 10
Fuel consumption = 9 miles per gallon
Consumption for n miles = n/9 GALLONS
Cost of fuel = n/ 9 * £3 = 3n / 9 = £n / 3
Maintainace cost = £M
Annual cost per member :
£(M + n/3) / 10
Select the corect answer which expression has a value closest to 1 (Use 3.14 as the value of π.)
Answers
is this a muliple question? if so wheres the answers?
Answer:
dear the correct answers are not given so how can we choose ?
Express the function F in the form f ∘ g. (Enter your answers as a comma-separated list. Use non-identity functions for f(x) and g(x).) F(x) = x + 2
Answers
Answer:
[tex]F(x) = f \circ g[/tex]
[tex]f(x) = x + 2[/tex] and [tex]g(x) = x[/tex]
Step-by-step explanation:
Given
[tex]F(x) = x + 2[/tex]
Required
Express as
[tex]F(x) = f \circ g(x)[/tex]
In functions:
[tex]f \circ\ g(x) = f(g(x))[/tex]
So, we have:
[tex]f(g(x)) = x + 2[/tex]
g(x) can be set to x and f(x) to x + 2
Hence:
[tex]F(x) = f \circ g[/tex]
When: [tex]f(x) = x + 2[/tex] and [tex]g(x) = x[/tex]
Plz help me with 18 is not -0.95
Answers
Answer:
Please refer to the attachment.......
Pls help I really need it
Answers
Find the values of A, B, and C in the table.
A=_____
B=_____
C=_____
Answers
Answer:
1, 2, below
Step-by-step explanation:
Took the assignment on EDGE
What is greater 100,000 cm or 1 mi PLEASE HELLP AND PLEASE SHOW YOUR WORK QUICK
Answers
Answer:
yeah 100,000 cm is greater
Step-by-step explanation:
First to answer all 3 correct gets brainliest !!!!!!!
Answers
Answer:
90
Step-by-step explanation:
2. Yes
3. 2
The width of a rectangle is 7 inches and the length is 13 longer than the width. Find the perimeter of the rectangle. (PLEASE ANSWER QUICKLY!!!)
Answers
re-write the equation in Ax+By=C form. use integers for A,B, and C.
y+2=-5(x-5)
Answers
Answer:
5x+y=23
Step-by-step explanation:
y+2=-5(x-5)
y+2=-5x+25
y=-5x+25-2
y=-5x+23
23=y-(-5x)
23=y+5x
5x+y=23
La energía que posee un cuerpo que se encuentra en movimiento se conoce como energía cinética. La Física es la ciencia encargada de estudiar este fenómeno natural y, para calcularla, utiliza la fórmula. La unidad de medida de la energía es el julio (J).
Answers
Answer:
Energía cinética = 0,5 x (masa x velocidad^2).
Step-by-step explanation:
"Cinética" significa "movimiento", y por lo tanto, la energía cinética es la energía que hay en algún objeto o cuerpo porque se está moviendo. Así, esta energía puede definirse como el trabajo mecánico necesario para acelerar un objeto de masa particular desde el carril hasta el terreno en movimiento. Al recibir esta energía rápidamente, el cuerpo retiene esta energía cinética dentro de él, a menos que cambie su velocidad.
Andre's recipe for lemonade calls for 5 cups of
sugar to make 3 gallons of lemonade. Leila will
follow the same recipe to make g gallons of
lemonade using s cups of sugar. Which of these
equations represents the relationship between g
Answers
Answer: [tex]g= \frac{5}{3} s[/tex]
Step-by-step explanation:
[tex]3g=5s\\g=\frac{3}{5}s[/tex]
Mr. R had $120,000 in a retirement account. The account paid 4.25% interest rate. How much money was in the account at the end of 10 years?
Answers
Answer:
R.s 51000
Step-by-step explanation:
I= PTR/100
=120000×10×4.25/100
=51000
hence ,
interest rate is R.s 51000
18,000 divided by 25%
Answers
Answer:
4500
Step-by-step explanation:
18000 / 100 =180
180*25 = 4500
What type of answer would you expect from the problem below? Explain why you expect that type of answer.
5/6 + 9.25
A) Rational; Both numbers can be written as fractions, so the answer will be a fraction, which is a rational number.
B) Irrational; Both numbers can be written as fractions, so the answer will be a fraction, which is an irrational number.
C) Rational; One number is a fraction and the other is a decimal, so they are not like terms and cannot be combined.
Answers
Answer:A
Step-by-step explanation:
Edge 2020
Use the graph and table to write the equation that describes the line graphed.
A 2-column table with 5 rows. Column 1 is labeled x with entries negative 2, negative 1, 0, 1, 2. Column 2 is labeled y with entries 1, 2, 3, 4, 5.
The equation of the line
Please help me :(
Answers
Answer:
I believe it is x−y+3=0.
Step-by-step explanation:
y= mx + b
The equation of a line is written as [tex]\frac{y_{2-}{y_{1} } }{x_{2-}{x_{1} } }[/tex], so if you plug in the numbers from the first two rows on the grid you get, [tex]\frac{2-1}{-1--2}[/tex] = [tex]\frac{1}{1}[/tex] = 1
The y- intercept is [tex]b= y_{1}[/tex]-m·[tex]x_{1}[/tex], plug in the number and its, b=1-(1)·(-2)=3
Finally, the equation of the line can be written in the form y=mx+b.
y=x+3.
The equation of the line in the slope-intercept form is y=x+3.
The equation of the line in the point-slope form is y−1=1(x+2).
The general equation of the line is x−y+3=0.
Answer:
It’s D y=X+3
Step-by-step explanation:
What is the solution to the equation 3^x = 10?
Answers
Answer:
log3 (10) = x
the 3 is a tiny 3
Step-by-step explanation:
remember the saying, left right left.
so, 3 goes to the left, x goes to the right, and 10 goes to the left side of the equal sign which in turn comes out to log3(10) =x
A 2-year loan of $500 is made with 4% simple interest.Find the interest earned
Answers
Answer:
$40
Step-by-step explanation:
Interest = Principal x Rate x Time
I = 500(.04)(2)
Based on the information given the interest earned is $40.
Using this formula
Interest =Principal× Rate× Time
Where:
Time =2 year
Principal=$500
Rate=4% or 0.04
Let plug in the formula
Interest=500(0.04)(2)
Interest=$40
Inconclusion the interest earned is $40.
Learn more here:https://brainly.com/question/20981855
It’s says to find the volume...
Answers
Answer:
i think its 72 if i'm wrong sorry
Step-by-step explanation:
Answer:
17 cm
Step-by-step explanation:
add the length, width of triangle
find the m and b of the table
Answers
9514 1404 393
Answer:
m = 1/2
b = -7
Step-by-step explanation:
The formulas for these can be used.
m = (y2 -y1)/(x2 -x1) . . . . . . . . . formula for slope given 2 points
m = (-9 -(-11))/(-4-(-8)) = 2/4
m = 1/2
__
b = y1 -m·x1 . . . . . . . . . . . . formula for y-intercept given slope and point
b = -11 -(1/2)(-8) = -11 +4
b = -7
HELP! Please answer fast How many terms are in the geometric series 0.4 + 1.2 + 3.6 + ... + 7,873.2?
Answers
Answer:
10 terms. I think you should check the explanation :)
Step-by-step explanation:
0.4 + 1.2 + 3.6 + ... + 7,873.2?
So I figured that you have to multiply the terms by three to get the next term.
0.4 * 3 = 1.2
1.2 * 3 = 3.6
But, I know it will takes us a really long time to get to 7,873.2, so what I will do is jump 3 sequences.
So if I multiply by 3 to get the next term, I'll multiply by 9 to get the next two terms because 3 * 3 is 9.
So to jump three times, I will multiply by 27 to get the next three terms because 3 * 3 * 3 is 27.
0.4 + 1.2 + 3.6 + ...
3.6 * 27 = 97.2
0.4 + 1.2 + 3.6 + ..., ..., 97.2, ...
97.2 * 27 = 2624.4
0.4 + 1.2 + 3.6 + ..., ..., 97.2, ..., ..., 2624.4, ...
Since we are getting close, I'm going to go back to multiply by 3.
2624.3 * 3 = 7873.2
0.4 + 1.2 + 3.6 + ..., ..., 97.2, ..., ..., 2624.4, 7873.2
Now that we have reached 7873.2, we will now count the terms (count the sets of three dots as terms too).
There are 10 terms in the geometric sequence.
If I have $25.2, would it be $25.02 or $25.20?
Answers
Answer:
You would have $25.20
if it was 25.02 the 0 would be included, money can be rounded like this too
Answer:
Yeah he/she is correct because I did that too.
Step-by-step explanation:
brainliest to whoever gets it right !
Cándido normally pays $875 for bodily injury and property damage insurance. His insurance company increases premiums by 150% for 1 accident, 200% for 2-3 accidents, and 250% for 4 accidents. Find his premium for the year after he has three accidents to the nearest dollar.
Answers
Answer:
$1,700.
Step-by-step explanation:
Since Cándido normally pays $ 875 for bodily injury and property damage insurance, and his insurance company increases premiums by 150% for 1 accident, 200% for 2-3 accidents, and 250% for 4 accidents, to find his premium for the year after he has three accidents to the nearest dollar, the following calculation must be performed:
875 x 200 / 100 = X
875 x 2 = X
1,700 = X
Therefore, his premium for the year after he has three accidents is $1,700.
Answer:
premium = $ 875
increase 200%
875 * 200 / 100
=$1750
Step-by-step explanation:
jake scored 2 goals in soccer this season. jamie scored 4 times as many goals as jake. Edgar scored 3 times as many goals as jamie. How many goals did Edgar score?
Answers
Answer:
24
Step-by-step explanation:
2x4 = 8 8x3 = 24 so edgar has 24 goals
Answer: 24
Step-by-step explanation:
Jake scored 2
Jamie scored 4x2=8
Edgar scored 8x3=24
Brainliest need help plz
A horizontal line has points A , E, D. A line extends vertically from point E to point C and forms a right angle at C E D. A line extends up and to the left from point E to point B. Which statement is true about the given information? ∠CED measures 45°. ∠CED measures 180°. ∠AEC measures 90°. ∠AEC measures 45°.
Answers
Answer:
The answer is 90
Step-by-step explanation: Im not 100% sure but yeah.
Jack made 9 identical bags using 5 yards of fabric. How much fabric did Jack use for each bag? Solve on paper and check your work on Zearn.
Answers
Answer: 5/9 yards
Step-by-step explanation:
From the question, we are informed that Jack made 9 identical bags using 5 yards of fabric.
To calculate the amount of fabric that Jack use for each bag, we have to divide 5 by 9. Thus will be:
= 5 / 9
Therefore, it means that Jack used 5/9 yards for each bag
PLEASE I NEED HELP ASAP
3. Triangle ABC has angle measures as shown.
(a) What is the value of x? Show your work.
(b) What is the measure of angle C? Show your work.
Answer:
Answers
Step-by-step explanation:
a. 180=3x+28+5x+52+2x-10
180=10x+70
110=10x
11=x
b. C= 2[11]-10
=22-10
=12
Barry wants to make a drawing that is 1/2 the size of the original. If a tree in the original drawing is 11 inches tall and 5 inches wide,
Answers
Answer:
Barry's drawing is 5.5 in tall and 2.5 in wide.
Step-by-step explanation:
We are given that
Height of tree, h=11 in
Width of tree, b=5 in
We have to find the size of the original.
Size of drawing is 1/2 size of the original
Therefore,
Height of drawing, h'=[tex]\frac{1}{2}\times 11[/tex]in
Height of drawing, h'=5.5 in
Width of drawing tree=[tex]\frac{1}{2}\times 5[/tex]
Width of drawing tree=[tex]2.5in[/tex]
Hence, Barry's drawing is 5.5 in tall and 2.5 in wide.
3 What is the value of x2 + 4 for x = 5? -))
Answers
Answer:
14
Step-by-step explanation:
substitute 5 for x
5(2) + 4 = 10 + 4 = 14
What the radical form of 13 2/3
Answers
Answer:
1/13 2/3
Step-by-step explanation: