Answer:
The Horizontal Asymptote is at x=3
Step-by-step explanation:
Here is a way to remember this
One way to remember this is the following pnemonic device: BOBO BOTN EATS DC
EABOBO -Exponents are bigger on bottom, y=0
EABOTN -Exponents are bigger on top, none
EATS DC - Exponents are the same, divide coefficients
3/x-2 the exponents are the same, divide leading coefficients
3/1 = 3 the horizontal asymtote is at x=3
MATH HELP ASAP BRAINLIEST!!!!
Answer:
first option
Step-by-step explanation:
Given
- 3x - 2y = 1 → (1)
- x + y = 3 → (2)
Rearrange (2) by adding x to both sides, that is
y = x + 3
Substitute y = x + 3 into (1)
- 3x - 2(x + 3) = 1 ← is the equation to be solved for x
A pound is approximately 0.45 kilogram. A person weighs 87 kilograms. What is the person’s weight, in pounds, when rounded to the nearest whole number?
Answer:
193.33333 pounds
Step-by-step explanation:
Divide 87kg by 0.45
So, it's 87 ÷ 0.45 = 193.3333333
Answer: 190
Step-by-step explanation:
Polynomial
Total Number
of Roots
Maximum
Number
of Complex Roots
603 - 8.02 +53 +1 = 0
-4,3 - 2 + 5 = 404
Answer:In mathematics, a polynomial is an expression consisting of variables (also called indeterminates) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables. An example of a polynomial of a single indeterminate, x, is x2 − 4x + 7.
Step-by-step explanation:
might help
Thanks a lot... Plz answer with steps
24 and 16
Step-by-step explanation:
let's assume two part be x and (40 - x)
According to Question,
[tex] x\dfrac{1}{4} = (40 - x) \dfrac{3}{8} [/tex]
[tex] x= \dfrac{3(40 - x)}{2} [/tex]
[tex]2 \times x = 120 - 3x [/tex]
[tex]2x + 3x = 120[/tex]
[tex]5x = 120[/tex]
[tex] \cancel{5}x= \cancel{120}[/tex]
[tex]x = 24[/tex]
Hence one part is 24 and other is (40 - 24) = 16 .
Answer: 24 and 16
Step-by-step explanation:
There are 39 chocolates in a box, all identically shaped. There 16 are filled with nuts, 13 with caramel, and 10 are solid chocolate. You randomly select one piece, eat it, and then select a second piece. Find the probability of selecting a nut chocolate followed by a caramel chocolate.
Answer:
16/117Step-by-step explanation:
Probability is the likelihood or chance that an event will occur.
Probability = expected outcome of event/total outcome of event
Given the total amount of chocolate in a box = 39chocolates
Amount of nuts = 16
Mount of caramel = 13
Amount of solid chocolate = 10
If he randomly selects a nut chocolate and eat, the probability of selecting a nut chocolate = Amount of nuts/total chocolate in the box = 16/39
IF he selects a seconnd piece (caramel chocolate) and eat, the probability of selecting a caramel chocolate = Amount of caramel/total chocolate in the box = 13/39 = 1/3
The probability of selecting a nut chocolate followed by a caramel chocolate will be 16/39*1/3 = 16/117
Hey loves!!! Plz help if you have the time.<3
Answer:
The first and last answer.
Step-by-step explanation:
If you look closely at the triangles you can tell which ones are the same and which differ.
Hope this helps!! <3
Find the value of x.
A) 7
b) 17
c)49
d)61
Answer:
x=17
Step-by-step explanation:
7x and 2x+27 are supplementary meaning they add up to be 180 degrees.
so, 7x + 2x + 27 = 180
9x + 27 =180
9x = 153
x = 17
hope this helped
– 4 = 5(p – 2)
plz help me if you know this.
Answer:
p = 6/5
Step-by-step explanation:
-4 = 5(p - 2)
-4 = 5p - 10
-4 + 10 = (5p - 10) + 10
6 = 5p
6/5 = (5p)/5
6/5 = p
p = 6/5
Answer:
p = 6/5
Step-by-step explanation:
-4 = 5(p - 2) (DISTRIBUTE)
-4 = 5p - 10 (ADD 10 TO BOTH SIDES)
6 = 5p (DIVIDE BY FIVE ON BOTH SIDES)
p = 6/5
A particular zebra is the 10th fastest animal in its herd and also
the 10th slowest animal in its hard. If every zebra in the herd is
of a different speed, then how many zebra are there in the herd?
Answer:
19
Step-by-step explanation:
The zebra is the 10th fastest, so there are 9 zebras that are faster.
It's also the 10th slowest, so there are 9 zebras that are slower.
The total number of zebras is therefore 9 + 1 + 9 = 19.
Given here is the price list of vegetables shown at a Mother Dairy vegetable Booth.
Mrs. Khanna brought the following vegetables:
potatoes
[tex]2 \frac{1}{2} [/tex]
onions
[tex]3 \: kg[/tex]
Peas
[tex]1 \frac{1}{2} kg[/tex]
Carrots
[tex]1 \frac{1}{2} kg[/tex]
She Gave a 500 - Rupee note to the man at the counter. How Much balance did she get?
Answer:
Total amount received by Mrs Khanna will be 182.5 Rs.
Step-by-step explanation:
Cost of the potatoes = 25 Rs per kg
Cost of [tex]2\frac{1}{2}[/tex] kg potatoes = Weight of the potatoes × Per kg cost of the potatoes
= 2.5 × 25
= 62.5 Rs
Cost of onions = 30 Rs per kg
Cost of 3 kg onions = 3 × 30
= 90 Rs
Per kg cost of Peas = 70 Rs
Cost of [tex]1\frac{1}{2}[/tex] kg Peas = 1.5 × 70
= 105 Rs
Per kg cost of Carrots = 40 Rs
Cost of [tex]1\frac{1}{2}[/tex] kg Carrots = 1.5 × 40
= 60 Rs
Total amount of the vegetables = 62.5 + 90 + 105 + 60
= 317.5 Rs
Since she gave a note of 500 Rs
Balance amount she got = 500 - 317.5
= 182.5 Rs
Therefore, total amount received by Mrs Khanna will be 182.5 Rs.
Help someone!! Thank you!
Answer:
D. 1.3
Step-by-step explanation:
Perimeter (square) = 4*side
4 = 4*side
side = 1
We have triangle QVR. QV is a hypotenuse.
If we look at the triangle QTR, QT is a hypotenuse.
QV should be less than QT.
Let's find QT using Pythagorean theorem.
c² = a² + b²
QT² = QR² + RT² = 1² + 1² = 2
QT = √2 ≈ 1.4
QV < QT
QV < 1.4
We have 1.3 and 1 that are less than 1.4, but 1 is a length of a leg of the triangle, so 1 is impossible.
Answer D. 1.3
−2(1 − 4x) = 3x + 8
Answer: x = 2
Step-by-step explanation:
First, Distribute
-2+8x=3x+8
Then, Subtract 3x
-2 + 5x=8
Then, Add 2
5x=10
Then, Divide by 5
x=2
Hope it helps <3
Answer:
-2(1-4x)=3x+8
distributive property
-2+8x=3x+8
subtract 8 on both sides
-2-8+8x=3x=-10+8x
now subtract 8x on both sides which equal: -10=-5x
now it part of the step and divide -5 on both sides to leave x or solve for x
-10/-5=x=2=x
x=2
Step-by-step explanation:
HALLLLPPP Let g(x) = 2x and h(x) = x^2 + 4. Evaluate each expression: g(-2) - h(4)
Answer:
-24
Step-by-step explanation:
g(-2) = 2(-2)
g(-2) = -4
h(4) = 4² + 4
h(4) = 16 + 4
h(4) = 20
g(-2) - h(4)
-4 - 20
= -24
Answer:
g(-2) - h(4) = - 24Step-by-step explanation:
g(x) = 2x
To find g( -2) substitute - 2 into g(x)
That's
g( -2) = 2(-2) = - 4
h(x) = x² + 4
To find h(4) substitute 4 into h(x)
That's
h(4) = (4)² + 4 = 16 + 4 = 20
So
g(-2) - h(4) is
- 4 - 20
= - 24
Hope this helps you
find the area of the quadrilateral ABCD in which ab=5cm,bc=4.5cm,cd=3.5cm,da=4cm and ac=6.5cm
Answer:
A(ABCD) ≈ 17.285 cm²
Step-by-step explanation:
Heron formulaA = √s(s - a)(s - b)(s - c)
s = (a + b + c)/2
a ; b ; c = the sides of the triangle
A(ABCD) = A(ABC) + A(ACD)A(ABC) = √s(s - AB)(s - BC)(s - AC)s = (AB + BC + AC)/2 = (5cm + 4.5cm + 6.5cm)/2 = 16cm/2 = 8 cm
A(ABC) = √8(8 - 5)(8 - 4.5)(8 - 6.5)
= √8×3×3.5×1.5
= √126
≈ 11.225 cm²
2. A(ACD) = √s(s - AC)(s - CD)(s - AD)
s = (AC + CD + AD)/2 = (6.5cm + 3.5cm + 4cm)/2 = 14cm/2 = 7 cm
A(ACD) = √7(7 - 6.5)(7 - 3.5)(7 - 4)
= √7×0.5×3.5×3
= √36.75
≈ 6.060 cm²
3. A(ABCD) = 11.225cm² + 6.060cm² = 17.285 cm²
9 divided by 2/3 equals
Answer:
[tex] \boxed{ \frac{27}{2} }[/tex]Step-by-step explanation:
[tex] \mathrm{9 \div \frac{2}{3} }[/tex]
To divide by a fraction, multiply by the reciprocal of that fraction
[tex] \mathrm{ = 9 \times \frac{2}{3} }[/tex]
Calculate the product
[tex] \mathrm{ = \frac{27}{2} }[/tex]
Hope I helped!
Best regards!!
Answer:
[tex]\boxed{13\frac{1}{2} }[/tex]
Step-by-step explanation:
[tex]9 / \frac{2}{3}[/tex]
Changing "division" into "multiplication" and inverting the term after it:
[tex]9 * \frac{3}{2}[/tex]
[tex]\frac{9*3}{2}[/tex]
[tex]\frac{27}{2}[/tex]
=> [tex]13\frac{1}{2}[/tex]
Are these fractions equivalent or
nonequivalent?
Answer:
no
Step-by-step explanation:
there is no factor to convert one into the other.
moreover, 19 is prime and 9 is not, so no way.
Pls ASAP help me with number 14
Answer:
D. 19
Step-by-step explanation:
because they are parallel bases you can compare
63/57 = 21/x
x = 19
Answer: D. 19
Let x by the length of CG. Since the two bases are parallel, we can create the following equation using proportions:
[tex]\dfrac{63}{21}=\dfrac{57}{x}[/tex]
Simplify left side of equation
[tex]3=\dfrac{57}{x}[/tex]
Multiply both sides by x
[tex]3x=57[/tex]
Divide both sides by 3
[tex]x=19[/tex]
Let me know if you need any clarifications, thanks!
y + 2 = -3 (x - 4) Complete the missing value in the solution to the equation. (____, -2)
Answer:
( 4,-2)
Step-by-step explanation:
y + 2 = -3 (x - 4)
We are given y = -2
-2+2 = -3 (x-4)
0 = -3(x-4)
Divide by -3
0 = x-4
Add 4 to each side
4 = x-4+4
4 =x
Answer:4
Step-by-step explanation:
The path followed by a roller coaster as it climbs up and descends down from a peak can be modeled by a quadratic function, where h(x) is the height, in feet, and x is the horizontal distance, also in feet. The path begins and ends at the same height, covers a total horizontal distance of 100 feet, and reaches a maximum height of 250 feet. Which of the functions could be used to model this situation? A. h(x)=-0.1x^2-50x+250 B. h(x)=-0.1(x-50)^2+250 C. h(x)=-0.1(x-100)^2+250 D. h(x)=-0.1x^2+100x+250
Answer:
C
Step-by-step explanation:
0.1(x - 100)² + 250
0.1[(x - 100)(x - 100)] + 250
0.1(x² -200x + 10000) + 250
0.1x² - 20x + 1000 + 250
0.1x² - 20x + 1250
0.1x² - 25x + 5x + 1250
0.1x(x - 250) + 5(x + 250)
∴ (0.1x + 5)(x - 250) or (0.1x + 5)(x + 250)
write the sum of twice a number and eleven as an algebraic expression
Answer:
2x-11
Step-by-step explanation:
2 x X = 2x + 11
4(x − 7) = 0.3(x + 2) + 2.11
Step-by-step explanation:
[tex]4(x-7)=0.3(x+2)+2.11\\\\Distribute\\\\4x+28=0.3(x+2)+2.11\\\\Distribute\\\\4x+28=0.3x+0.6+2.11\\\\Combine\\like\\terms\\\\4x+28=0.3x+2.71\\\\Subtract\\\\3.7x+28=2.71\\\\Subtract\\\\3.7x=-25.29\\\\Divide\\\\x=\tex{ about }6.83513514[/tex]
Hope it helps <3
Answer:
x = 83/10=8^3/10=8.3
Step-by-step explanation:
4(x − 7) = 0.3(x + 2) + 2.11
Use the distributive property to multiply 4 by x−7.
4x−28=0.3(x+2)+2.11
Use the distributive property to multiply 0.3 by x+2.
4x−28=0.3x+0.6+2.11
Add 0.6 and 2.11 to get 2.71.
4x−28=0.3x+2.71
Subtract 0.3x from both sides.
4x−28−0.3x=2.71
Combine 4x and −0.3x to get 3.7x.
3.7x−28=2.71
Add 28 to both sides.
3.7x=2.71+28
Add 2.71 and 28 to get 30.71.
3.7x=30.71
Divide both sides by 3.7.
x= 3071/370
Expand 3.7/30.71≈8.3 by multiplying both numerator and the denominator by 100.
x = 83/10
One day at a school 70% of the students wore a polo shirt.
80% of the students wearing polo shirts were boys.
What percentage of students were girls who wore polo shirts?
Answer:
14%
Step-by-step explanation:
If the percentage of boys wearing polo shirts were boys, then the rest has to be girls. So 100%-80%=20%. However, we are not done here.
We have only figured out the percentage of girls out of the total number of people wearing polo shirts. We want to find the percentage of girls wearing polo shirts out of the whole school. To do that, we multiply 20% by 70%, since 20% of the polo shirt wearers were girls, and 70% of the entire student body is wearing a polo shirt.
Multiplying those two together gets you 14%.
Answer:
14%
Step-by-step explanation:
naledi climbed up a mountain. Her initial altitude is 40 meters above sea level, and increased by 10 meters per hour. let g(n) be naledi altitude at the beginning of nth hour of her climb. g is a sequence. what kind of sequence is it. arithmetic or geometric sequence? complete the recursive formula for g(n). g(1)= ? g(n) = g(n-1) (+ or *) ?
Answer: [tex]U_{n} =(40)+(n-1)(10)[/tex]
Step-by-step:
[tex]U_{n} =a+(n-1)d[/tex]
a = 40
d = 10
[tex]U_{n} =(40)+(n-1)(10)[/tex] is the formula for nth hour
What is the approximate circumference of the circle shown below?
Answer:
[tex]\boxed{\sf 43.35 \ cm}[/tex]
Step-by-step explanation:
Apply formula for the circumference of a circle.
[tex]\sf C=\pi d[/tex]
The diameter [tex]\sf d[/tex] is 13.8 cm.
[tex]\sf C=\pi (13.8)[/tex]
[tex]\sf C= 43.3539786195...[/tex]
[tex]\sf{C} \approx \sf{43.35}[/tex]
Answer:
43.4 cm
Step-by-step explanation:
Circumference of the circle = 2πr
r = radius, π = [tex]\frac{22}{7}[/tex]
f = diameter÷2
=13.8 ÷ 2
= 6.9
circumference = [tex]2 * \frac{22}{7} * 6.9\\[/tex]
= [tex]\frac{303.6}{7}[/tex]
= 43.37 cm or 43.4 cm
NEED HELP ASAP I believe the answer is C but I’m not sure
PLZZZ HELP WILL GIVE BRAINLIEST !!!!! NEED THIS FAST PLZZZ
Answer:
8
Step-by-step explanation:
Let's denote the number of members ordered chicken a, the number of members ordered beef b.
We have:
a + b = 12 (total number of members is 12)
10a + 14b = 136 (the chicken costs 10$, the beef costs 14$)
a + b = 12 => a = 12 - b
Substitute a into second equation, we have:
10(12 - b) + 14b = 136
=> 120 - 10b + 14b = 136
=> 4b = 16
=> b = 4
=> a = 12 - b = 12 - 4 = 8
=> Number of members ordered chicken: a = 8
I'm marking brainliest bad answers grt a report an ban. ---- ----------- When solving this system of equations with substitution one of the following is a step. x+y=6, - 6x+8y = 6 * --------------------------------------------- -6(-x + 6) + 8y = 6 x+y = 6 -6x+8 (-x + 6) = 6 8y = 6x + 6
Answer:
-6x + 8(-x+6) = 6
Step-by-step explanation:
x+y = 6 => y = 6-x ..............(1)
Substitute y (1) in
-6x+8y = 6 .......................(2)
to get
-6x + 8(6-x) = 6
or equivalently
-6x + 8(-x+6) = 6
What did you multiply together to find the sales tax?
Answer:
Step-by-step explanation:
To find the sales tax on a purchased or sold item, first convert the sales tax percentage into the equivalent decimal fraction. If the sales tax rate is 5.5%, then the desired decimal fraction is 0.055. Next, multiply the selling price of the purchased or sold item by this decimal fraction. If, for example, the selling price is $100, the sales tax is 0.055($100) = $5.50
How is the graph of y=(x+1)^2-9 transformed from the graph of y=x^2? a shifted 1 unit left and 9 units up b shifted 1 unit right and 9 units up c shifted 1 unit left and 9 units down d shifted 1 unit right and 9 units down
Answer:
Step-by-step explanation:
Due to the '+1', the graoph of x^2 is shifted 1 unit to the left. The '+9' results in the entire graph being shifted downward 9 units.
Rewrite the expression 4+[tex]\sqrt{16-(4)(5)}[/tex]/2 as a complex number in standard form,a+bi .
Answer:
[tex]2+i[/tex]
Step-by-step explanation:
Given the expression:
[tex]\dfrac{4+\sqrt{16-(4)(5)}}{2}[/tex]
To find:
The expression of above complex number in standard form [tex]a+bi[/tex].
Solution:
First of all, learn the concept of [tex]i[/tex] (pronounced as iota) which is used to represent the complex numbers. Especially the imaginary part of the complex number is represented by [tex]i[/tex].
Value of [tex]i =\sqrt{-1}[/tex].
Now, let us consider the given expression:
[tex]\dfrac{4+\sqrt{16-(4)(5)}}{2}\\\Rightarrow \dfrac{4+\sqrt{16-(4\times 5)}}{2}\\\Rightarrow \dfrac{4+\sqrt{16-20}}{2}\\\Rightarrow \dfrac{4+\sqrt{-4}}{2}\\\Rightarrow \dfrac{4+\sqrt{(-1)(4)}}{2}\\\Rightarrow \dfrac{4+\sqrt{(-1)}\sqrt4}{2}\\\Rightarrow \dfrac{4+\sqrt4i}{2} \ \ \ \ \ (\because \sqrt{-1} =i) \\\Rightarrow \dfrac{4+2i}{2}\\\Rightarrow 2+i[/tex]
So, the given expression in standard form is [tex]2+i[/tex].
Let us compare with standard form [tex]a+bi[/tex] so we get [tex]a =2, b =1[/tex].
[tex]\therefore[/tex] The standard form of
[tex]\dfrac{4+\sqrt{16-(4)(5)}}{2}[/tex]
is: [tex]\bold{2+i}[/tex]