Answer:
-6(-2/3+2x)
=12/3+12x
=4+12x
4(1+3x)
Review the table of values for function h(x).
x h(x)
8.9 3.83
8.99 –1.19
8.999 4.73
9 undefined
9.001 –4.73
9.01 1.19
9.1 –3.83
Which statement correctly explains whether Limit of h (x) as x approaches 9 exists?
The limit does not exist because the values of h(x) seem to oscillate between random values around x = 9.
The limit does exist because h(x) is defined for all given values around x = 9, even though h(x) isn’t defined at x = 9.
The limit does not exist because h(x) is not defined at x = 9, and for a limit to exist, the function must be defined at x = 9.
The limit does exist because the values of h(x) to the right of x = 9 are all opposites of the values of h(x) to the left of x = 9.
Using lateral limits, the correct option is:
The limit does not exist because the values of h(x) seem to oscillate between random values around x = 9.
------------------------------------
For a limit of a function f(x) to exist at a point a, it is needed that:
[tex]\lim_{x\rightarrow a^-} f(x) = \lim_{x\rightarrow a^+} f(x)[/tex]
That is, it has to approach a from both sides toward the same value, it cannot be oscillating.
These limits found, approaching a from close but smaller values, [tex][tex]\lim_{x\rightarrow a^-} f(x)[/tex], and from close but greater values, [tex]\lim_{x\rightarrow a^+} f(x)[/tex], are called lateral limits.
------------------------------------
From the table, looking at the value slightly less than 9, it can be said that: [tex]\lim_{x \rightarrow 9^-} f(x) = 4.73[/tex]Looking at the value slightly more than 9, it can be said that: [tex]\lim_{x \rightarrow 9^+} f(x) = -4.73[/tex]Since the lateral limits are different, the limit does not exist, and the correct option is:
The limit does not exist because the values of h(x) seem to oscillate between random values around x = 9.
A similar question is given that https://brainly.com/question/23630768
Answer:
A
Step-by-step explanation:
Please help me!! I don’t understand!!!
Answer:
Ask your John Brown teacher!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
If you place a 37-foot ladder against the top of a building and the bottom of the ladder is 22 feet from the bottom of the building, how tall is the building? Round to the nearest tenth of a foot
Answer:
29.7 ft tall
Step-by-step explanation:
29.75ft. tall is the building.
What is Pythagorean theorem?Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a2 + b2 = c2.
Here, we have,
from the figure , we get,
Hypotenuse = 37 ft.
Base= 22 ft.
Let, the building = height = x ft.
Now , by Pythagorean theorem, we have,
x=√37²-22²
=√885
=29.75
Hence, 29.75ft. tall is the building.
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A coordnata grlds shown below. Which ordered pair describes a point that is located 4 units to the left of the origin and 2 units below the x-axis? A (4,2 B. (42) C (-4,20 D. (4, -21
Answer:
Correct answer is 4,2.
So go through it.
How do you solve this
9514 1404 393
Answer:
x = 8
Step-by-step explanation:
The measure of the inscribed angle is half the measure of the intercepted arc.
9x -25 = 94/2
9x = 72 . . . . . . . add 25
x = 8 . . . . . . . . . divide by 9
the sum of 4 and 6 times a number z
Answer:
(4 + 6) × Z = 10 × Z
Step-by-step explanation:
The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept. If you know two points that a line passes through, this page will show you how to find the equation of the line.
A tour helicopter travels at a constant rate of 80 mph. If the tour takes 2 hours, how far does the helicopter travel?
A. 40 mi.
B. 80 mi.
C. 120 mi.
D. 160 mi.
Answer:
D
Step-by-step explanation:
80 miles per hour, each hour it will travel 80 miles so for two hours tou do
80 x 2 = 160
Answer:
D
Step-by-step explanation:
80x2=40
it's just simple multiplecation but then again I cant spell multiplication so I mean
The distance from the tetherball pole is the edge of the circle is 5 feet. What is the circumference of the circle
Answer:
The distance from the tetherball pole is the edge of the circle is 5 feet. What is the circumference of the circle
31.416
Step-by-step explanation:
The distance from the tetherball pole is the edge of the circle is 5 feet. What is the circumference of the circle
2 times Pi (3.14) times the radius (5)
Answer:
31.416
Step-by-step explanation:
2 times Pi (3.14) times the radius (5)
Find the volume.
Pls help!
Answer:
72 in^3
Step-by-step explanation:
Volume: lwh
V = 6 · 3 · 4
V = 18 · 4
V = 72 in^3
if you can answer all three. 100 points reward
Answer:
A, A, B
Step-by-step explanation:
Answer:
15) 5 b. color the objects on the chalkboard green
Step-by-step explanation:
15)
This question needs the Pythagorean Theorem, which is a^2 + b^2 = c^2
a is a leg (opposite line to hypotenuse)
b is a leg (base line)
c is the hypotenuse (the diagonal line.)
3^2 + 4^2 = c^2
9 + 16 = c^2
25 = c^2
then you square root the number to the left to find c
square root of 25 is 5, since 5 x 5 is 25.
Drag and drop the correct volume of the cylinder into the box to find the volume of the
figure. Use 3.14 for a.
Answer:
1491.5
Step-by-step explanation:
radius is 5in so pi * 5 squared * 19 will get you this answer
Which rational number corresponds to point A on the number line?
9514 1404 393
Answer:
B. -2/3
Step-by-step explanation:
Each small division on this number line is 1/3 unit. Point A is 2 small divisions left of 0, so corresponds to the value -2/3.
SHOW WORK FOR BRAINLIST
A $55 sweater is on sale for 20% off. Today only, you can take an additional 10% off the sale price. How much does the sweater cost today?
Answer:$39.60
Step-by-step explanation:
$55 x 0.80= $44
$44 x 0.90=$39.60
Or
$55x 0.20=$11
55-11=44
$44x 0.10=4.40
$44 - $4.40=$39.60
PLEASE HELP!! Given the diagram below, find the dimensions of the rectangle if the area is 128 square feet. What is the X=? Width=? Length=?
Which of the following is equivalent to (x - 2)^2
(x - 2)(x+2)
(2-2)(x - 2)
(x-2)(x+2)
Answer:
(x-2)(x-2) or (x+2)(x+2)
Step-by-step explanation:
since you are squaring it, technically the terms are negative, but the product will be positive. when you multiply two negative factors, you get a positive answer. so either both can be negative or both can be positive.
Using the human species as an example, explain what is meant by a variation of traits.
Answer:
Every gene has many types of gene variants, which are called alleles. These alleles help the body prouperly code different types of variants. Humans have many different traits in their body, and that is how we have so many features. Genes are stored in chromosomes.
Answer:
Human variability, or human variation, is the range of possible values for any characteristic, physical or mental, of human beings. As the human species exhibits sexual dimorphism, many traits show significant variation not just between populations but also between the sexes.
Step-by-step explanation:
On a scale drawing with a scale of 1 cm:0.75 ft, the height of a mailbox is 6.5 cm. How tall is the actual tree?
A.
5.578 ft
B.
4.578 ft
C.
5.785 ft
D.
4.875 ft
Answer: B
Step-by-step explanation:
The height of the actual tree when on a scale drawing with a scale of 1 cm:0.75 ft, the height of a mailbox is 6.5 cm, is 4.875 ft.
What is scale factor?Scale factor is the factor which is used to enlarge or smaller the original figure.
Scale factor is the ratio of representation measurement of the figure to the original figures.
On a scale drawing with a scale of 1 cm:0.75 ft, the height of a mailbox is 6.5 cm. Here, the scale factor is,
[tex]k=\dfrac{1\rm\; cm}{0.75\rm\; ft}[/tex]
The height of a mailbox is 6.5 cm. Let suppose, the actual tree is x meter long. Thus, the ratio of this factor is,
[tex]k=\dfrac{6.5}{x}[/tex]
Comparing both factors,
[tex]\dfrac{1\rm\; cm}{0.75\rm\; ft}=\dfrac{6.5}{x}\\x=6.5\times0.75\\x=4.875[/tex]
Thus, the height of the actual tree when on a scale drawing with a scale of 1 cm:0.75 ft, the height of a mailbox is 6.5 cm, is 4.875 ft.
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If p and q vary inversely and p is 8 when q is 8, determine q when p is equal to 16.
Answer:
25
Step-by-step explanation:
i smarte
Solve for r. Show your work!
12 = r - (34 - 2)
Answer:
44
Step-by-step explanation:
12 = r - (34 - 2)
12 = r - 32
12+32 = r
r=44
Answer:
yEE-
Step-by-step explanation:
prove that the points A(1 , -1 ) B(5, 2) C(9, 5) are collinear.
Answer:
AB= [tex]\sqrt(5-1)^2 +(2+1)^2 = \sqrt16+9 =5[/tex]
BC= [tex]\sqrt(5-9)^2 + (2-5)^2 = \sqrt16+9=5[/tex]
AC = [tex]\sqrt(1-9)^2 + (-1-5)^2 = \sqrt64+36 = 10[/tex]
So, AC = AB + BC
A, B, C are collinear points
Step-by-step explanation:
I hope this helps!
20 POINTS!!!!!!!The monthly salary of an employee with 33 hours of training can be written as
D-Salary(33) or S(33)
D is correct hope this helps
Erin has 4 cards, one with the letter A, one with the letter B, one with the letter C, and one with the letter D. She places the cards in a row in random order.
What is the probability that either the words BAD or CAB will appear as part of the row?
Answer:
P = 1/6
Step-by-step explanation:
We have 4 places where we can put the cards.
Let's count the number of possible outcomes for each place.
In the first place, we can put one of 4 cards.
in the second place, we can put one of 3 cards (because there is already one card in the first place)
In the third place, we can put one of 2 cards
In the last place, we can put one of one cards.
The total number of different combinations is the product between the number of options for each place, then we have:
C = 4*3*2*1 = 24
Now we need to count the number of combinations such that the words BAD or CAB appear.
Those are:
BADC
CBAD
CABD
DCAB
4 outcomes out of 24.
Then the probability will be equal to the quotient between the number of outcomes where one of these words appears (4) and the total number of possible outcomes (24)
The probability is:
P = 4/24 = 1/6
The probability would be 16.7%
plz help i give 50 points
Answer:
area of trapezium = 20 in^2
Step-by-step explanation:
here's your solution
==> area of trapezium = 1/2*(sum of parrel side)*distance between them
==> length of parrel sides = 6 in and 2 in
==> height = 5 in.
==> area of trapezium = 1/2(6 + 2) * 5
==> area of trapezium = 20 in^2
hope it helps
Step-by-step explanation:
sorry for this
"i try so can you rate"
Please explain how you got the answer
Answer:
solution given:
height [h]=7ft
side 1=7ft
side2=8ft
it is trapezium
so
area of trapezium=[tex] \frac{1}{2} 7(7 + 8)[/tex]
=52.5ft²
What is sec 0 when cot 0 = -4/2?
Answer:
[tex]sec 0=\frac{\sqrt{66} }{8}[/tex]
Step-by-step explanation:
[tex]Cot0=-4\sqrt{2}[/tex]
[tex]sec0=\frac{\sqrt{33} }{4\sqrt{2} }[/tex]
[tex]=\frac{\sqrt{33} }{4\sqrt{4} } *\frac{4\sqrt{2} }{4\sqrt{2} }[/tex]
[tex]=\frac{4\sqrt{66} }{32}[/tex]
[tex]=\frac{\sqrt{66} }{8}[/tex]
--------------------
hope it helps...
have a great day!!
which expresssion has a value of 1
During the summer, Dwayne Works on his uncles dairy farm. One of Dwaynes Many chores is to load bales of hay onto a wagon and haul them from the field into the barn.
There is a proportional relationship between the number of wagon loads, x and the number of bales of hay Dwayne can haul, y.
What is the constant of proportionality? Write your answer as a whole number or decimal.
The constant of proportionality of the proportional relationship between the number of wagon loads, x and the number of bales of hay Dwayne can haul, y, is given as follows:
4.
How to define a proportional relationship?The standard definition of a proportional relationship is given as follows:
y = kx.
Hence the solution for the constant is given as follows:
k = y/x.
As the table represents a proportional relationship, the constant can be calculated from any pair, hence:
k = 20/5 = 4.
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Victor drew trapezoid PQRS on a
coordinate plane. The coordinates of each
vertex are:
P(8,4) Q(10, 4) R(13, -1) S(8, -1)
tion
What is the length, in units, of side PS?
A. 2
B. 3
C. 4
D. 5
Answer:
Step-by-step explanation:
b
Answer:
b hope it helps make brainlliest ty
Step-by-step explanation:
can you make me brainlliest
If a dog eats 1/4 pound of food each day, how many days will it take the dog to eat a 5 pound bag of food?
Answer:
20 days
Step-by-step explanation:
0.25 pound of food is eaten in 1 day
1 pound of food is eaten in 1 / 0.25
5 pound of food is eaten in 5/0.25 = 20 days
Select all the equations where r 3 is a solution.
Answer:
The right answers are 1,4 and 6
Answer:
x-3 =0
6=2x
x^2 = 9
Step-by-step explanation:
substitute the values, and you will get the answer!
have a great day!!