rewrite Y=4-3x+x squared
in standard form and correctly
Answer:
Step-by-step explanation:
y = 4 - 3x + x^2 is to be rewritten in standard form. To do this, rearrange the terms in order of powers of x, from highest to lowest.
y = 4 - 3x + x^2 becomes y = x^2 - 3x + 4
The general term of a sequence if Tn = 2n, what will be its 50th term?
Answer:
100
Step-by-step explanation:
Given:
Tn = 2n
Where,
n = nth term
what will be its 50th term?
Tn = 2n
T(50) = 2(50)
= 100
T(50) = 100
Therefore,
The 50th term = 100
Which statement correctly describes the graph of g(x) = f(x - 9) ? x = 6 A. Function ghas the same horizontal and vertical asymptotes as function f. OB. Function g has the same horizontal asymptote as fand a vertical asymptote at . OC. Function g has the same horizontal asymptote as fand a horizontal asymptote at x = 9. D. Function ghas the same vertical asymptote as fand a horizontal asymptote at y = - 5 .
Answer:
-5
Step-by-step explanation:
The correct statement describing the graph is ''Function has the same horizontal asymptote as fand a vertical asymptote at x = 6''.
What is function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.
here,
We have to determine:
Which statement correctly describes the graph of g(x) = f(x - 9)?
According to the question
Graph; g(x) = f(x - 9)
here, we have,
The straight-line x=6 is a vertical asymptote of the graph of the function g(x) = f(x - 9) if at least one of these conditions is true:
we have,
A vertical asymptote occurs in rational functions at the points when the denominator is zero and the numerator is not equal to zero.
we know,
Vertical asymptotes are the vertical lines corresponding to the zeroes of the denominator of the rational number, to calculate the vertical asymptotes simply put the denominator of the rational number to zero, and solve for x, this is the required vertical asymptotes, if the denominator of the rational number is a quadratic, cubic types equations or any other polynomial then simplify put the whole equation to zero and simplify used any method for x, this is the required vertical asymptotes.
Hence, Function has the same horizontal asymptote as fand a vertical asymptote at x = 6.
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Can someone pls help me with this?!
Answer:
1188
Step-by-step explanation:
33 X 36 = 1188
TO FIND AREA: Height x width= area
Height is 33 Width is 36
40 is just a distraction! :)
Which number is larger
Answer:
9
Step-by-step explanation:
When there are any negatives they will always be less then a positive.
-10,-9-8,-7,-6,-5,-4,-3,-2,-1,0,1,2,3,4,5,6,7,8,9,10
The larger the negative the less it is since its so far away from the middle (0)
-Greatest to least
-8,-5,3,9
Which of the following does NOT give you congruent angles?
CPCTC
Midpoint
Alternate Interior Angles
Triangle Sum Theorem
Answer:
Triangle Sum Theorem
Step-by-step explanation:
These do not give you congruent angles
differentiate the following by using "limit"
[tex] \displaystyle \frac{d}{dx} \sqrt{x} [/tex]
Answer:
[tex] \rm \displaystyle \frac{d }{dx} \sqrt{x} = \frac{ 1 }{ 2\sqrt{x } } [/tex]
Step-by-step explanation:
we want to differentiate the following by using limit:
[tex] \displaystyle \frac{d}{dx} \sqrt{x} [/tex]
derivative definition by limit given by
[tex] \rm \displaystyle \frac{d}{dx} = \lim _{\Delta x \to 0} \left( \frac{f(x + \Delta x) - f(x)}{ \Delta x} \right) [/tex]
given that,
f(x)=√x
so,
f(x+∆x)=√(x+∆x)
thus substitute:
[tex] \rm \displaystyle \frac{d }{dx} \sqrt{x} = \lim _{\Delta x \to 0} \left( \frac{ \sqrt{x + \Delta x}- \sqrt{x} }{ \Delta x} \right) [/tex]
multiply both the numerator and denominator by the conjugate of the numerator:
[tex] \rm \displaystyle \frac{d }{dx} \sqrt{x} = \lim _{\Delta x \to 0} \left( \frac{ \sqrt{x + \Delta x}- \sqrt{x} }{ \Delta x} \times \frac{ \sqrt{x + \Delta x} + \sqrt{x} }{\sqrt{x + \Delta x} + \sqrt{x}} \right) [/tex]
simplify which yields:
[tex] \rm \displaystyle \frac{d }{dx} \sqrt{x} = \lim _{\Delta x \to 0} \left( \frac{ (\sqrt{x + \Delta x}) ^{2} - x }{ \Delta x(\sqrt{x + \Delta x} + \sqrt{x})} \right) [/tex]
simplify square:
[tex] \rm \displaystyle \frac{d }{dx} \sqrt{x} = \lim _{ \Delta x \to 0} \left( \frac{ x + \Delta x - x }{ \Delta x(\sqrt{x + \Delta x} + \sqrt{x})} \right) [/tex]
collect like terms:
[tex] \rm \displaystyle \frac{d }{dx} \sqrt{x} = \lim _{\Delta x \to 0} \left( \frac{ \Delta x }{ \Delta x(\sqrt{x + \Delta x} + \sqrt{x})} \right) [/tex]
reduce fraction:
[tex] \rm \displaystyle \frac{d }{dx} \sqrt{x} = \lim _{\Delta x \to 0} \left( \frac{ 1 }{ (\sqrt{x + \Delta x} + \sqrt{x})} \right) [/tex]
get rid of ∆x as we are approaching its to 0
[tex] \rm \displaystyle \frac{d }{dx} \sqrt{x} = \frac{ 1 }{ \sqrt{x } + \sqrt{x}} [/tex]
simplify addition:
[tex] \rm \displaystyle \frac{d }{dx} \sqrt{x} = \frac{ 1 }{ 2\sqrt{x } } [/tex]
and we are done!
Given csc(A) = 65/16 and that angle A is in Quadrant I, find the exact value of sec A in simplest radical form using a rational denominator . Someone please help me!
Answer:
secA = [tex]\frac{65}{63}[/tex]
Step-by-step explanation:
cscA = [tex]\frac{65}{16}[/tex] = [tex]\frac{hypotenuse}{opposite}[/tex]
This is a right triangle with hypotenuse = 65, opposite = 16 and
adjacent = [tex]\sqrt{65^2-16^2}[/tex] = 63
Then
secA = [tex]\frac{hypotenuse}{adjacent}[/tex] = [tex]\frac{65}{63}[/tex]
A small airplane takes off from point A and continues to climb upward in a straight line, as shown in the diagram. What is the plane’s distance from point A when it reaches point C?
A. 6,900 feet
B. 7,000 feet
C. 11,636 feet
D. 12,600 feet
E. 13,400 feet
============================================================
Explanation:
We have two similar triangles here, so we can set up the proportion below to solve for x
5200/(5200+6500) = 5600/x
5200/11700 = 5600/x
5200x = 11700*5600 .... cross multiply
5200x = 65,520,000
x = (65,520,000)/(5200)
x = 12,600 which shows why the answer is choice D
side note: 12,600 ft = 2.386 miles approximately
The plane’s distance from point A when it reaches point C is 12600 feet.
What is a triangle?A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
From the figure,
The two triangles are similar.
This means,
The ratio of its corresponding sides is equal.
So,
(5200 + 6500) / 5200 = (5600 + BC) / 5600
Solve for BC.
(5200 + 6500) / 5200 = (5600 + BC) / 5600
(11700 / 5200) x 5600 = 5600 + BC
117/52 x 5600 = 5600 + BC
BC = 12600 - 5600
BC = 7000
Now,
The plane’s distance from point A when it reaches point C.
= AB + BC
= 5600 + 7000
= 12600 feet
Thus,
The plane’s distance from point A when it reaches point C is 12600 feet.
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The question in the photo
Pls help
I went on Doyourmath, and it helps me if the image didn't help then I am sorry, but I am truly hoping I answered your question.
Solve for x.
Solve for x!
Answer:
x=70
Step-by-step explanation:
All the angles in a triangle have to add up to 180. 40 degrees is already taken up so there is 140 degrees left. There are 2 remaining angles, so 140/2=70. x=70.
Hope this helps!
Answer:
70
Step-by-step explanation:
all the angles add up to 180
180= 40 +x +x
180-40=2x
140=2x
140/2=x
x=70
3f x 4f⁴
……………………………….
Step-by-step explanation:
3f×4f^412f^5hope it helps
stay safe healthy and happy.....Answer:
12f^5
Step-by-step explanation:
3f x 4f⁴
=3x4xf^(4+1)
=12xf^(5)
=12f^5
Sara works in a sports store and earns 12% commission on her sales how much does she make on a bicycle that sold for $785.95
Answer:
$94.314
Step-by-step explanation:
Given data
Commission = 12%
Sale= $785.95
Let us find 12% of $785.95
=12/100* 785.95
=0.12* 785.95
=$94.314
Hence she earns $94.314
Which point lies on both y=5x−3 and y=−4x+6 ?
(4, 14)
(3, 1)
(3, 10)
(2, 6)
(1, 2)
Claire is driving a car traveling a steady of 63 miles per hour She drives for 3 hours. How far does she drive?
Answer:
189 miles
Step-by-step explanation:
63 miles per hour means 63 miles every hour, if she went at this speed for three hours, just multiply 63*3 and you get 189 miles. :)
Answer:
189 miles
Step-by-step explanation:
Claire drives at 63 miles in 1 hour.
Therefore in 3 hours she drives 63 × 3 = 189 miles
Which answer is the correct answer above?
What integer values satisfy both inequalities? -1 < x ≤ 2 -2 ≤ x < 3
Answer:
0,1and2 brainliest me plsss po
Which of the following is equivalent to
11/18?
A. 0.61
O B. 0.61
C. 0.61
D. 0.611
Simplify: 2⁶X5⁴X3¹²/2²x5²x3⁴
Step-by-step explanation:
2⁶X5⁴X3¹²/2²x5²x3⁴
2⁴ × 5²×3⁸
Answer:
Step-by-step explanation:
[tex]\frac{2^{6}*5^{4}*3^{12}}{2^{2}*5^{2}*3^{4}}=2^{6-2}*5^{4-2}*3^{12-4}\\\\\\=2^{4}*5^{2}*3^{8}[/tex]
[tex]\frac{a^{m}}{a^{n}}=a^{m-n}, m>n[/tex]
In exponent division, if both numbers have same base, subtract the exponents.
A rectangle has a length of 9 mm. A similar rectangle is drawn using a scale of 1:3. What is the length of the second rectangle?
Answer:
3mm brainliest please
Step-by-step explanation:
Answer:
25
Step-by-step explanation:
9mm times 1:3 of the rectangle is 245
The table represents the cost of flowers at the Tigerlily Flower Shop.
Answer:
The given table is
Quantity(x) Price(y)
1 2.00
2 3.50
3 5.00
4 6.50
5 8.00
6 9.00
It means the points on the graph are (1,2), (2,3.50), (3,5), (4,6.50), (5,8) and (6,9).
The graph 1 represents all the above mentioned point, therefore option 1 is correct.
According to the graph 2, at quantity 6 the price of flower is 12, which is not correct. Therefore option 2 is incorrect.
The quantity of flower is always a whole number. So the graph is defined on the whole numbers only. It means the graph is a scatter plot instead of a curve of a straight line.
Therefore the option 3 and 4 are incorrect.
Step-by-step explanation:
I will give BRAINLIEST to the correct answer
Answer:
<PCH+<HCK=180-DEGREE BEING IN A STRAIGHT LINE.
3M+58+8M+155=180
11M=180-213
11M=-33
M=-3
SO,
<PCH
3M+58
=3*(-3)+58
=58-9
=49-DEGREE
Pls pls pls pls pls help
Explain why multiplying a fraction by 5/6 results in a value that is less than the original fraction
Answer:
Step-by-step explanation:
(5/6) itself is less than 1 (but greater than 0). Thus, anything multiplied by (5/6) will result in a smaller-by-magnitude quantity.
For example, (5/6)(3/4) is LESS than 3/4 because 5/6 is greater than zero but less than 1.
The fraction 5/6 is less than one anything multiplied to this number will be less than 1.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the fraction is 5/6.
5/6 is less than 1 on its own (but greater than 0). Anything multiplied by (5/6) will provide a magnitude-less result. Because 5/6 is more than 0 but less than 1, it can be shown that (5/6)(3/4) is less than 3/4.
Therefore, the fraction 5/6 is less than one anything multiplied to this number will be less than 1.
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i don’t know what the anwsered would be i don’t understand this module
Answer:25,000(0.15)^x
Step-by-step explanation:
I think this is the answer because there are 25,000 gray wolf in the world and they are expected to grow by 15%. 15% is .15. So those two numbers multiplied, to the x exponent should give you the answer of how large the wolf population is expected to be.
Another Easy One, Brainliest + 40 points
-2
Answer:
Solution given:
|-3| -|5|=3-5=-2
since modules gives a value of any number alwats positive
Answer:
-2
Step-by-step explanation:
Absolute value means take the non-negative value
|-3| = 3
|5| =5
|-3| -|5| = 3 -5 = -2
Plsss help!!!
y = ??
X =???
Answer:
x=80* y=20* and X=100*
Step-by-step explanation:
If we assume PQ || OR then by alternate interior angles x is equal to 80 degrees and y is equal to 20 degrees.
We know that a triangle adds up to 180 degrees.
Angle ROX and XRO add up to 100 degrees. Leaving RXO equal to 80 degrees. (180-100=80).
By opposite angles, QXP is equal to 80 degrees also.
Then we are left with solving for X.
Supplementary angles add up to 180 degrees.
Subtract angle OXR from 180 and we are left with angle OXP = X = 100 degrees.
8. On what day did Alfonso run faster? Day Distance (m) Time (min) Monday 1,020 6 Wednesday 1,554 9 a. Wednesday b. Monday
15
A spinner on a board game has a radius of 3 inches and spins on a circular region as shown in the
figure.
3 in
The center of the circular region is the origin and the spinner's initial position is on the positive
x-axis. Rachel flicks the spinner, causing it to rotate 600°. What are the coordinates of the tip of
the spinner when it stops?
3
313
А
2
2
313
3
B
2
2
V3
с
1
2'
2.
V3
1
D
)
2
2
Answer:
Option A ( -3/2 , [tex]\frac{-3\sqrt{3} }{2}[/tex] )
Step-by-step explanation:
According to Question, The Spinner Rotate 600* Thus after Completing 360* it Comes Exactly Where It Started . Now again rotate It 180* .Now We Are on ( -X axis ) & Completed 360*+180*=540* RotationNow After Rotate It 60* More we come in Third Quadrant & Here In Third Quadrant Only Tangent & Cotangent Is Positive .(Sine & Cosine is Negative)(For Diagram, Please Find in attachment)
Now In Triangle OAB
Cos60* = OA / OB1/2 = -X / 3 Thus X= -3/2
Sin60* = AB / OB[tex]\sqrt{3}[/tex]/2 = -Y / 3 Thus Y = -[tex]\sqrt{3}[/tex] * 3 /2
e) In a survey of a group of people, it was found that 80 people liked to drink tea, 55 liked coffee, 25 liked both and 30 people did not like both tea and coffee. (i) Illustrate the above information in a Venn-diagram (ii) How many people were surveyed? (iii) How many people liked tea only? (iv) How many people liked coffee only? with full process
Answer:
the answer is given on the picture
The number of people like only coffee is 30 and the number of people like only tea is 55.
What is the Venn diagram?A Venn diagram is a diagram that helps us visualize the logical relationship between sets and their elements and helps us solve examples based on these sets. A Venn diagram typically uses intersecting and non-intersecting circles (although other closed figures like squares may be used) to denote the relationship between sets.
Let T=tea and C=coffee
n(T)=80
n(C)=55
n(T∩C)=25
People did not like both tea and coffee=30
ii) Number of people surveyed
n(T∪C)=n(T)+n(C)-n(T∩C)
= 80+55-25
= 110
Then,
n(∪)=n(TUC)+People did not like both tea and coffee
= 110+30
= 140
iii) Number of people like only Tea
=n(T)-n(T∩C)
=80-25
=55
iv) Number of people like only coffee
=n(C)-n(T∩C)
= 55-25
= 30
Therefore, the number of people like only coffee is 30 and the number of people like only tea is 55.
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