The function h(x) has a horizontal asymptote at y=5 and the vertical asymptote is x=-2.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
Given that, h(x)=g(x+5.
Horizontal asymptote (HA) - It is a horizontal line and hence its equation is of the form y = k.
Vertical asymptote (VA) - It is a vertical line and hence its equation is of the form x = k.
Here, the horizontal asymptote is 3, and the vertical asymptote is -2
The graph of h(x) = g(x+5) had a horizontal asymptote at y=5 and the same vertical asymptote as function g(x).
Therefore, the function h(x) has a horizontal asymptote at y=5 and the vertical asymptote is x=-2.
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solve the equation 3/4x - 5 = x give your answers correct to 2 decimal places
Answer:
3/4x - 5 = x
= -3/10 -> -0.15
2 Decimal places = 0.150
Megan opened a savings account with a $500 deposit. The account pays 1.25% simple interest each year. If she neither adds nor withdraws money from the account, how much interest will she earn after 3 years? help
[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$500\\ r=rate\to 1.25\%\to \frac{1.25}{100}\dotfill &0.0125\\ t=years\dotfill &3 \end{cases} \\\\\\ I = (500)(0.0125)(3)\implies \boxed{I = 18.75}[/tex]
what is -2(x+1) simplified
Answer:
-2x - 2
Step-by-step explanation:
-2(x + 1)
[tex](-2)(x+1)[/tex] [tex](-2)(x)+(-2)(1)[/tex] [tex]-2x - 2[/tex]Therefore, the answer is -2x - 2.
Answer:
-2x - 2
Step-by-step explanation:
Simplify:
-2(x+1)-2(x) + -2(1)-2x - 2-Chetan K
Write 12.325 as a mixed number. quick I need help
Answer:
493/40
i tried my best on it
Answer:
493 /40
Step-by-step explanation:
(12.325 × 100) / (1 × 1000) =
=12325/ 1000
What is the product?
(Y^2+3Y+7)(8y^2+y+1
Answer:
8y⁴+25y³+60y²+10y+7
Step-by-step explanation:
8y⁴+y³+y²+24y³+3y²+3y+56y²+7y+7
8y⁴+25y³+60y²+10y+7
Answer:
8y^4+25y^3+60y^2+10y+7
Step-by-step explanation:
(y^2+3y+7)(8y^2+y+1)
We are going to multiply the first term, y^2, by the whole second part (8y^2+y+1)
8y^4+y^3+y^2
now we multiply the 2nd term, 3y, by the whole second part (8y^2+y+1))
24y^3+3y^2+3y
now we do the same to the last term, 7.
56y^2+7y+7
now we need to add all three of our products together
(8y^4+y^3+y^2)+(24y^3+3y^2+3y)+(56y^2+7y+7)
adding like terms:
8y^4+y^3+24y^3+y^2+3y^2+56y^2+3y+7y+7
we get:
8y^4+25y^3+60y^2+10y+7
what is the solution set for this inequality?
-6x + 30 < -18
□ x > -2
□ x < 8
□ x > 8
□ x < -2
pls answer
Answer:
x > 8Step-by-step explanation:
= > -6x + 30 < - 18
= > 30 + 18 < 6x
= > 48 < 6x
= > x > 48/6
= > x > 8...ans
Hope it Helps you!!Evaluate 51x3 - 21 + 7 when x = -2.
DONE
Answer:
-320 i guess
Step-by-step explanation:
51*-2*3-21+7=-320
convert into Improper fraction
4 3/4
Answer:
Improper fraction = 19/3
Step-by-step explanation:
To convert to improper fraction;
1.) multiply the denominator with the whole number,
2.) then add the number you got with the numerator (this will be you new numerator)
3.) keep the denominator the same for the new fraction
Hope this helps!
Hello!
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4 3/4
First, we multiply the whole number by the denominator:
16
Then, we add the numerator:
19
19 is the numerator for our fraction.
Now, the denominator stays the same:
[tex]\frac{19}{4}[/tex] is our answer. Hope it helps you!
~SparklingFlower
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có 100 công nhân sản xuất trong một ngày được 1200 đợn vị sản phẩm với tổng chi phí là 2400 USD
Answer:
4 better inbox
Step-by-step explanation:
what is 2x3y if x = -2y =4
Answer:
-48
Step-by-step explanation:
2x3y
\/
2(-2) * 3(4)
\/
-4 * 12
\/
-48
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Answer: -48
Step-by-step explanation:
2(-2)3(4) = -4*12 = -48
20 feel from the ground i need a ladder placed 15 feet from the house what is the length
Answer:
helooo
Step-by-p explanation:
1.
Classify the function as linear or quadratic and identify the quadratic, linear, and constant terms.
f(x) = (3x + 2)(−6x − 3)
A. linear function; linear term: −18x2; constant term: −6
B. quadratic function; quadratic term: 6x2; linear term: 24x; constant term: −6
C. linear function; linear term: −21x; constant term: −6
D. quadratic function; quadratic term: −18x2; linear term: −21x; constant term: −6
Answer:
D
Step-by-step explanation:
Got it right on test
Answer: The answer is letter B or letter D
D. quadratic function; quadratic term: −18x2; linear term: −21x; constant term: −6
Step-by-step explanation: Find the degree of the function to determine if linear. f ( x ) = − 18 x 2 − 21 x − 6 is not a linear function
Expand the polynomial using the FOIL method. f ( x ) = − 18 x 2 − 21 x − 6
What are the zeros of the function shown in the graph
Answer:
(-4, 0), (0, 0) and (2, 0)Step-by-step explanation:
Zero's of the function are the points of intersection of the graph with the x-axis.
From the picture we see zeros:
(-4, 0), (0, 0) and (2, 0)Zeros are
[tex]\\ \sf\longmapsto (-4,0)U(0,0)U(2,0)[/tex]
i really need help on my question!
Answer:
your answer is C
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
It is asking how many people have MORE than two fish. Not two fish.
15 + 3 + 2 = 20
The radius of a cirdle is (x+ 4)cm. Find the area of the circle in
terms of the variable x Leave the answer in term of π
Answer:
50.24 cm
Step-by-step explanation:
50.24 cm
2
Explanation:
Using the formula,
Area
=
π
×
r
2
Here
π
is a button on your calculator you can find, but is also generally known as
3.14
, you can use either one, but teachers usually prefer you use the
π
button.
r
=
the radius, in your case, it's
4 cm
So
Area
=
π
×
r
2
=
π
×
(
4 cm
)
2
=
16
π
cm
2
≈
50.24 cm
2
What is the simplest fraction form of 0.030303
Step-by-step explanation:
1/33
1/3 is 0.33333....
1/30 is 0.03333...
1/300 is 0.003333...
and so on.
that was in the initial thought.
in oder to interrupt the 1/3=0.3333... series and interlace the 3s with 0s, I had to divide by 10, but also by further 10% (in total 11) of that to create a 0.0303 sequence.
I initially thought that I would have to add then 10% of that and then 10% if that, but no, the one step is sufficient.
so, it turned out to be 1/3 / 11 = 1/33.
Helpppppppppppppppppppppppp
[tex]xy =-21~~.....(i)\\\\x+ y=20~~....(ii)\\\\\text{From equation (i):}\\\\xy = -21 \implies y = -\dfrac{21}x~~.....(iii)\\\\\text{Substitute y in equation (ii):}\\\\x - \dfrac{21}x = 20\\\\\implies x^2 -20x -21= 0\\\\\implies x^2 - 21x + x-21=0\\\\\implies x(x-21) +(x-21) =0\\\\\implies (x+1)(x-21)=0\\\\\implies x = -1 ~~\text{or}~~ x =21\\\\\text{Substitute x in equation (iii):}\\\\y = 21 ~~ \text{or}~~ y = -1\\\\\text{Hence,}~ (x,y)=(21,-1) ~~ \text{or}~~ (x,y) = (-1,21)[/tex]
ANSWER PLEASE!!! I WILL GIVE BRAINLIEST
NO BOTS OR WEBSITE LINKS
Answer:
San Francisco
Step-by-step explanation:
The cost per mile in San Francisco is 0.45 per mile, whereas it is 0.40 in New York
you have a goal to sell 100 tickets to a school pizza party if you only completed 50 percent of your goal , did you sell more or fewer than 100 tickets ?
Answer:
you sold fewer than 100 tickets. you only sold 50 tickets out of your 100 ticket goal.
You are studying a population of geese in which there are two color phases, brown and gray. Color in this species is controlled by a single gene, with brown dominant to gray. A random sample of 250 geese shows that 210 are brown. What percentage of the brown geese are heterozygous
Based on the information given the percentage of the brown geese that are heterozygous is 48%.
Random sample = 250
Brown color = 210
Gray color = 250 - 210 = 40
First step is to calculate the proportion of a alleles in the population
Proportion (a alleles)=√40/250
Proportion (a alleles)= √0.16
Proportion (a alleles)= 0.4
Second step is to calculate the proportion of A alleles in the population
p(A) = 1 - 0.4
p(A)= 0.6
Third step is to calculate brown heterozygous percentage using this formula
Brown heterozygous percentage=2pq(Aa)
Let plug in the formula
Brown heterozygous percentage= 2 x 0.6 x 0.4
Brown heterozygous percentage= 0.48 ×100
Brown heterozygous percentage= 48%
Inconclusion the percentage of the brown geese that are heterozygous is 48%.
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The height of a door is 1.6 feet longer than its width, and its front area is 1489.3 square feet. Find the width and height of the door
Answer:
The width of the door to be 39.10 ft, and the height to be 40.7 feet.
A particular county with a population of 7.9 million people. In that county, an average of 96 people per year die by falling from a balcony each year.Assuming that these figures are current, what is the probability that a randomly selected individual from this country will die by falling from a balcony in a given year? Express your answer as a decimal rounded to 8 decimal places. Do not convert it to a percentage
Answer:
7.9000000÷96
=0.0822916667
MARK ME BRAINLIEST PLS I WILL GET A NEW RANKA rectangular garden to contain 3 length segments and 4 width segments. The total amount of fencing required is 24 meters. What is the maximum possible area
Answer:
12 meters sq
Step-by-step explanation:
area= length x width
area= 3x4
area=12 meters sq
The school football team is hosting a fundraiser dinner. Tickets are $20 for adults, $15 for seniors, and $6 for children. The expression 20a + 15s + 6c represents the total sales for a adult, s senior tickets, and c child tickets. Mariel sold 6 adult, 4 senior, and 8 child tickets.
20a + 15s + 6c = 20 (6) + 15 (4) + 6 (8) = ? + ? + ?
By what number should be 6 2/9 be divided to obtain 4 2/3 ?
6(2/9)
4(2/3)
18/54
8/12
=18/54
=8/12
u divided all
Let the number should be duvided be X
Given number = 6 2/9
⇛ (6×9+2)/9
⇛ (54+2)/9
⇛ 56/9
On dividing 56/9 by X then the result
= (56/9)/X
= 56/9X
According to the given problem
The result = 4 2/3 = 14/3
⇛ 56/9X = 14/3
⇛ 9X×14 = 56×3
⇛ 9X = 56×3/14
⇛ 9X = 4×3
⇛9X = 12
⇛X = 12/9
=⇛X = 4/3 or 1 1/3
Answer↓
The required number is 4/3 or 1 1/3
Check↓
On dividing 6 2/9 by 1 1/3
⇛ 6 2/9 ÷ 1 1/3
⇛ (56/9)÷(4/3)
⇛ (56/9)×(3/4)
⇛ (56×3)/(9×4)
⇛ 14/3
⇛4 2/3
Verified.
The points in the table lie on a line. Find the slope of the line
Answer: Slope formula: m = y2 - y1/ x2 - x1
2 - (-2)/ 1 - 0
2 + 2/1
4/1
Slope = 4
Would appreciate brainly <3
Which expression is equivalent to 8^4 (8 to the 4th power)
Answer:
Step-by-step explanation:
8^4 is the same as 8·8·8·8
The exponent 4 means that 8 will be multiply by itself four time.
Answer:
4096
Step-by-step explanation:
hope this helps=)
It’s for pre college
Answer:
Step-by-step explanation:
y = mx + b for line through (7, 4) and perpendicular to -5x + 9y = - 71
perpendicular lines have negative reciprocal slopes
-5x + 9y = - 71
9y = 5x - 71
y = (5/9)x - 71/9
so a perpendicular line will have slope -9/5
y = (-9/5)x + b
plug in our desired point
4 = (-9/5)7 + b
4 = -63/5 + b
20/5 = -63/5 + b
b = 83/5
y = (-9/5)x + 83/5
5y = -9x + 83
1. Leonardo da Vinci asserted that a person's height is proportional to the length of the
person's palm. Don's palm is 5 centimeters in length and he is 120 centimeters tall. Mateo's
palm is 7.5 centimeters in length. Assuming that da Vinci's theory is correct, how tall, in
centimeters, is Mateo?
Answer:
120 : 5 = 24 suy ra 24 x 7,5 = 180
Step-by-step explanation:
7 1/2 sticks of butter are needed to make 5 cakes. How much butter is needed to make one cake?
Answer:
1 1/2
Step-by-step explanation:
because when you divide 7.5 by 5 you get 1.5