Answer:
The larger the degree, the steeper the graph's branches towards the right and left edges.
Step-by-step explanation:
Yes, there is a relationship between the degree of a polynomial and how steep its branches are at their end behavior (for large positive values of x, and to the other end: towards very negative values of x).
This is called the "end behavior" of the polynomial function, and is dominated by the leading term of the polynomial, since at very large positive or very negative values of the variable "x" it is the term with the largest degree in the polynomial (the leading term) the one that dominates in magnitude over the others.
Therefore, larger degrees (value of the exponent of x) correspond to steeper branches associated with the geometrical behavior of "power functions" (functions of the form:
[tex]f(x)=a_n\,x^n[/tex]
which have characteristic end behavior according to even or odd values of the positive integer "n").
Recalling the behavior of such power functions, the larger the power (the degree), the steeper the graph.
After substituting, what is the first step when evaluating x + 3 x minus 4.2 when x = 5?
Answer:
Multiply the 3*5
Step-by-step explanation:
x+3x -4.2
Substitute x=5
5 + 3*5 -4.2
PEMDAS states multiply first
Multiply the 3*5
5 + 15 -4.2
Answer:
a!
Step-by-step explanation:
yw
Help with the second question I am utterly confused! Please explian and I will give vrai lies y ASAP with 18 points
Answer:
See attached table
Step-by-step explanation:
Given base b,
the required formulas are:
Area of base = b^2
height: solve for h in 2b^2+4*bh = S =54
where S is the surface of 54
Substitute and solve for h,
h = (S - 2b^2)/(4b) = (54-2b^2)/(4b) = (27-b^2)/(2b)
The volume is equal to base area times height, or
V = b^2(h)
The completed table is attached.
What is a vertex . Please explain Thanks..
Step-by-step explanation: In geometry, a vertex is where two rays share a common endpoint or where they interest each other.
The rays are called the sides of the angle and
common endpoint is called the vertex.
The vertex is very important when naming angles because
the vertex is always at the center when naming the angle.
Below is an example of two rays that share a
common endpoint which is called the vertex.
Hi! I'm just a bit confused on the vocabulary. What should be the null hypothesis? Thanks in advance!
A large company is being sued for gender discrimination because 20% of newly hired candidates are women when 40% of all applicants were women. You plan to use hypothesis testing to determine whether there is significant evidence that the company's hiring practices are discriminatory.
State the null and alternative hypotheses for the significance test.
Answer:
null hypothesis: 20% of the newly hired candidates are women.
alternative hypothesis: out of 100% of the workers , only 40% are women and you 60% are male.
The null hypothesis = 20% of candidates are females who applied.
The alternative hypothesis is that only 20% of this store is female, 80% is male.
Hope it helps!
When an object is removed from a furnace and placed in an environment with a constant temperature of 70°F, its core temperature is 1500°F. One hour after it is removed, the core temperature is 1170°F. (a) Write an equation for the core temperature y of the object t hours after it is removed from the furnace. (Round your coefficients to four decimal places.)
Answer:45 I think
Step-by-step explanation:
Given \qquad m \angle AOC = 104^\circm∠AOC=104 ∘ m, angle, A, O, C, equals, 104, degrees \qquad m \angle AOB = 7x + 30^\circm∠AOB=7x+30 ∘ m, angle, A, O, B, equals, 7, x, plus, 30, degrees \qquad m \angle BOC = 9x + 42^\circm∠BOC=9x+42 ∘ m, angle, B, O, C, equals, 9, x, plus, 42, degrees Find m\angle BOCm∠BOCm, angle, B, O, C:
Answer:
∠BOC = 60°
Step-by-step explanation:
Given the following angles.
∠AOC=104°
∠AOB = (7x + 30)°
∠BOC= (9x + 42)°
Since all the angles have a common point at O, it can be inferred that;
∠AOC = ∠AOB + ∠BOC
104° = (7x + 30)° + (9x + 42)°
104° = 16x+72
16x = 104-72
16x = 32
x = 32/16
x = 2°
To get ∠BOC:
Since ∠BOC = 9x+42, we will substitute x = 2° into the equation to get the angle ∠BOC
∠BOC = 9(2) + 42
∠BOC = 18+42
∠BOC = 60°
The graph of g(x) is the result of translating the graph of f(x) = 3* six units to the right. What is the equation
g(x) = 3*-6
g(x) = 3*+6
g(x) = 3X-6
g(x) = 3* + 6
Answer:
Step-by-step explanation:
Pls help me with my question roo
The graph of g(x) is g(x) = [tex]3^{x-6}[/tex]
What is translation?A translation is a rigid transformation because it does not change the size or shape of the original figure. Translations are the simplest transformation in geometry and are often the first step in performing other transformations on a figure or shape.
Given that, graph of g(x) is the result of translating the graph of f(x) = 3ˣ, 6 units to the right.
Translation the graph of the function y = f(x) a units to the right gives the function y = f(x-a)
So, here, f(x) = 3ˣ will be transformed to g(x) = [tex]3^{x-6}[/tex]
Hence, the graph of g(x) is g(x) = [tex]3^{x-6}[/tex]
Learn more about translation, click;
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The starting salary for a particular job is 1.2 million per annum. The salary increases each year by 75000 to a maximum of 1.5million. In which year is the maximum salary reached
In the 5th year
Step-by-step explanation:For the first year, the salary is 1.2million = 1,200,000
For the second year, the salary is 1.2million + 75000 = 1,200,000 + 75,000 = 1,275,000
.
.
.
For the last year, the salary is 1.5million = 1,500,000
This gives the following sequence...
1,200,000 1,275,000 . . . 1,500,000
This follows an arithmetic progression with an increment of 75,000.
Remember that,
The last term, L, of an arithmetic progression is given by;
L = a + (n - 1)d ---------------(i)
Where;
a = first term of the sequence
n = number of terms in the sequence (which is the number of years)
d = the common difference or increment of the sequence
From the given sequence,
a = 1,200,000 [which is the first salary]
d = 75,000 [which is the increment in salary]
L = 1,500,000 [which is the maximum salary]
Substitute these values into equation (i) as follows;
1,500,000 = 1,200,00 + (n - 1) 75,000
1,500,000 - 1,200,000 = 75,000(n-1)
300,000 = 75,000(n - 1)
[tex]\frac{300,000}{75,000} = n - 1[/tex]
4 = n - 1
n = 5
Therefore, in the 5th year the maximum salary will be reached.
The sum of two numbers is 30. If we double the larger number, and subtract three times the smaller number, the result is 5. What is the positive difference between the two numbers?
Answer:
8 is the difference, and 19 and 11 are the numbers. Hope this helped!
Answer: The difference is 8.
Step-by-step explanation:
We will let l represent the larger number s represent the smaller number.
so we know that L + S =30
Also 2L - 3S = 5 shows the relationship between the numbers.
Now we have two equations.
L + S =30
2L - 3S = 5 solve using any method.
L + S =30 solve for L and substitute it into the second equation.
L + S = 30
-S -S
L = 30 -S
2(30-s) - 3s = 5 Distribute
60 - 2s - 3s = 5 combine like terms
60 -5s = 5
-60 -60
-5s = -55
s = 11
We know the smaller number is 11 so to find the larger number we will subtract 11 from 30.
30 -11 = 19
The larger number is 19
so To find the difference we will subtract 11 from 19.
19 -11 = 8
YOO I NEED THIS RIGHT NOW!!
What is the difference of
[tex]( \frac{3}{4} x - \frac{2}{3} ) - ( - \frac{5}{6} + 2x)[/tex]
?
[tex] - \frac{5}{4} x + \frac{1}{6} [/tex]
[tex] - \frac{5}{4} x - \frac{1}{6} [/tex]
[tex] \frac{11}{4} x + \frac{1}{6} [/tex]
[tex] \frac{11}{4} x - \frac{1}{6} [/tex]
Answer:
The first option: -5/4x + 1/6.
Step-by-step explanation:
(3/4x - 2/3) - (-5/6 + 2x)
= (3/4x - 2/3) + 5/6 - 2x
= 3/4x - 2x - 2/3 + 5/6
= 3/4x - 8/4x - 4/6 + 5/6
= -5/4x + 1/6
So, the first option: -5/4x + 1/6.
Hope this helps!
Please help me with this! Be very grateful.
Answer:
Length of A=6
Breadth of A=24/6=4
Length of B=6
Breadth of B=12/6=2
Step-by-step explanation:
Total surface area: 36
Ratio is 2:1
So, 2x + 1x = 36
3x=36
x=36/3
x=12
2*12=24
1*12=12
So areas are 24 and 12 respectively
Now, we can say that the sides of the square will be same, 6 cm
6*6=36
so the length of both rectangles will be 6
Hence we can divide each area by 6 and find the breadth.
Length of A=6
Breadth of A=24/6=4
Length of B=6
Breadth of B=12/6=2
Stay safe and stay cool
Hope it helps you.
MARK AS BRAINLIEST PLEASE
The graph of y=4x[tex]x^{2}[/tex]-4x-1 is shown
Answer:
i.) (-0.25, 0), (1.25, 0)
ii.) (0.5, 2), (1.5, 2)
Step-by-step explanation:
For i, it is asking for the roots of the quadratic, or where the graph crosses the x-axis.
For ii, it is asking for the x-values when y = 2.
The function f(x) = 4e* when evaluated for f(2) is:
Answer:
The function f(x) = 4e* when evaluated for f(2) is:
Step-by-step explanation:
Its slope must be m= f'(0).
f'(x) = 8e2x ⇒ m = f'(0) = 8
y - y1 = m(x - x1)
m = 8
y1 = 10
x1 = 0
cause
what is the solution to this equation? 4x+x-15+3-8=13
Answer:
x = 33/5
Step-by-step explanation:
4x+x-15+3-8=13
Combine like terms
5x -20 = 13
Add 20 to each side
5x-20+20 = 13+20
5x =33
Divide by 5
5x/5 = 33/5
x = 33/5
A shark is 80 feet below the surface of the water. It swims up and jumps out of the water to a height of 15 feet above the surface. Find the vertical distance the shark travels.
Answer:
∆y = 95 ft
the vertical distance the shark travels is 95 ft
Step-by-step explanation:
Given;
Initial position y1= 80 ft below the surface of water = -80ft
Final Position y2 = 15 ft above the surface = +15ft
The vertical distance travelled by the shark is;
∆y = y2 - y1 = 15 - (-80) ft
∆y = 15 +80 ft
∆y = 95 ft
the vertical distance the shark travels is 95 ft
which of the following are solutions to the equation below x^2-8x+16=5
Answer:
x₁ = 4 - √5 ; x₂ = 4 + √5Step-by-step explanation:
[tex]x^2-8x+16=5\\\\x^2-8x+11=0\\\\a=1\,,\ \ b=-8\,,\ \ c=11\\\\x_1=\dfrac{-(-8)-\sqrt{(-8)^2-4\cdot1\cdot11}}{2\cdot1}=\dfrac{8-\sqrt{20}}2=\dfrac{8-2\sqrt5}2=\dfrac{2(4-\sqrt5)}2=\\\\=4-\sqrt5\\\\x_2=\dfrac{-(-8)-\sqrt{(-8)^2-4\cdot1\cdot11}}{2\cdot1}=\dfrac{8+2\sqrt5}2=4+\sqrt5[/tex]
please could someone help me with these questions?? brainliest for quickest!
Answer:
523 -61= 462
456-187=269
Step-by-step explanation:
subtract the last numbers first 3-1 which is 2 then 2-6 which is impossible so you borrow from 5 and add 10 to 2 which become 12-6 which is 6 the the first number has only 4 left because you borrowed from it which is 4 so 523-61= 462.
subtract the last number 6-7 it not possible because 6 is less than 7 so borrow from 5 then add 10 to 6 which become 16-7=9 then the second number you have 4-8 since you borrowed from 5, 4-8 is also not possible so borrow from 4 which become 14-8 which is 6 and the first number which is now 3- 1 which is 2 so all the result become 269
A. 139.3m^2 B. 39.3m^2 C. 59.3^2 D.257.1m^2
Answer:
139.3 m²
Step-by-step explanation:
The figure is composed of a square and a semi circle.
area of square = 10² = 100 m²
area of semi circle = 0.5πr² = 0.5π × 5² = 0.5π × 25 = 12.5π ≈ 39.3 m²
Total area = 100 + 39.3 = 139.3 m²
Express ⁴/100 as a decimal fraction
Answer:
To do that you must divide 4 by 100
Step-by-step explanation:
4 divided by 100 is 0.04
Answer:
4/100
Run two decimal places forward
that's
0.04
Hope this helps you
Ten friends want to play a game. They must be divided into three teams with three people in each team and one field judge. In how many ways can they do it?
Answer:
16,800 number of waysStep-by-step explanation:
Let the ten friends represents the 10 letters ABCDEFGHIJ. If they must be divided into three teams with three people in each team and one field judge, the arrangement will become (ABC)(DEF)(GHI)J
This shows that ABC, DEF and GHI are the three teams and J is the chief judge. Since each groups are now a team, we can represent everyone in each teams with the same letter except the judge as shown;
(AAA)(BBB)(CCC)J where J is the judge
Since there are 10 friends in all and there are A, B and C are repeated three times, the arrangement can be done in the following way as shown;
[tex]\frac{10!}{3!3!3!1!}[/tex]
[tex]= \frac{10*9*8*7*6*5*4*3!}{3!*6*6*1}\\ = \frac{10*8*7*6*5}{1} \\= 16,800ways[/tex]
This shows that they can do it 16,800 number of ways
I need to find a b and c please help
Answer: a=4, b=16, c=12
Step-by-step explanation:
Use the intercept form: a(x - p)(x - q) where p & q are the intercepts.
Given: p = -3, q = -1, and y-intercept (c) = 12
a[x - (-3)][x - (-1)]
= a(x + 3)(x + 1)
= a(x² + 4x + 3)
= ax² + 4ax + 3a
y-intercept = 12
3a = 12
a = 4
Substitute a = 4
4x² + 4(4)x + 3(4)
= 4x² + 16x + 12
A scalene triangle has the lengths 6, 11, and 12. Keyla uses the law of cosines to find the measure of the largest angle. Complete her work and find the measure of angle Y to the nearest degree. 1. 122 = 112 + 62 − 2(11)(6)cos(Y) 2. 144 = 121 + 36 − (132)cos(Y) 3. 144 = 157 − (132)cos(Y) 4. −13 = −(132)cos(Y)
Answer:
[tex]Y\approx 84^\circ $(to the nearest angle)[/tex]
Step-by-step explanation:
The lengths of the sides of the scalene triangle are 6, 11, and 12.
We want to use the law of cosines to find the largest angle.
Note that the largest angle is always opposite the largest side.
Therefore:
[tex]1. 12^2 = 11^2 + 6^2-2(11)(6)\cos(Y) \\\\2. 144 = 121 + 36-(132)\cos(Y) \\\\3. 144 = 157 - (132)\cos(Y) \\\\4. -13 = -(132)\cos(Y)\\\\\\5. \cos(Y) = \dfrac{-13}{-132} \\\\6. Y = \arccos \left ( \dfrac{13}{132}\right)\\\\7. Y=84.35^\circ\\\\8. Y\approx 84^\circ $(to the nearest angle)[/tex]
The largest angle is 84 degrees to the nearest angle.
Which expressions are equivalent to 7(-3/4 times -4
Answer:
147
Step-by-step explanation:
7(-3/4 times -4 should most likely be written with a " ) " at the end:
7(-3/4 times -4).
Symbolically, this comes out to
7 -3 -4
7( ----------- )*(------ * --------- ) = 49(3) = 147
1 4 1
Note: If you are given possible answer choices, please share them. Thanks
Please answer it in two minutes
Answer: x = 25
Step-by-step explanation:
KI is the midsegment of GH so GH = 2KI
Given: GH = x + 25, KI = x
x + 25 = 2(x)
x + 25 = 2x
25 = x
An open can of oil is accidentally dropped into a lake; assume the oil spreads over the surface as a circular disk of uniform thickness whose radius increases steadily at the rate 10 cm/sec. At the moment when the radius is 1 meter, the thickness of the oil slick is decreasing at the rate 4 mm/sec; how fast is it decreasing when the radius is 2 meters? (Watch the units!)
Answer:
−0.0005 m/sec.
Step-by-step explanation:
Let us denote the volume of the can as V
let us denote the radius of the circular disc in lake as r
Let us denote the thickness of the circular disc as h
But we know the volume of the can as πr^2h then we can calculate How fast it is decreasing when the radius is 2 m
CHECK THE ATTACHMENT FOR DETAILED EXPLANATION
Create a statement or a situation based on the given equation
a)
[tex]3x - 22 = \frac{x}{4} [/tex]
where x is an integer
Answer:
[tex]3x - 22 = \frac{x}{4} [/tex]
When twenty two is subtracted from a number multiplied by three the result is the same as the number divided by 4.
Hope this helps you
Answer:
here is the answer
Step-by-step explanation:
statement- the result obtained when 22 is subtracted from 3 times of a number is one-fourth of the number.
situation- rahul sees the price of a toy he wants to buy. after two years he comes to the shop again to buy the product. he notices that the price has become thrice the original. the shopkeeper agrees to reduce an amount of 22 rupees and he pays one fourth of the original price to the shopkeeper and buys the producet. find the original price of the toy.
PWAESE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
In the given figure, LMNO and GHJK are rectangles where GH = 1/2 LM and HJ = 1/2 MN. What fraction of the region is bounded by LMNO that is not shaded? (figure not drawn to scale)
A. 1/4
B. 1/3
C. 1/2
D. 3/4
Answer:
3/4
Step-by-step explanation:
To answer this question we must first calculate the area of GHJK:
A= GH*HJ A= (LM/2)* (MN/2) A= LM*MN/4 LM/MN is the area of LMNO So the area of LMNO is 4 times the area of GHJK A is the area of LMNO and S the area of GHJK S= A/4 A-S= A-A/4 = 3A/4 so the area that is not shaded is 3/4Five times sum of a number, x,and nine is ten. What is the number?
Answer:
[tex]-7[/tex]
Step-by-step explanation:
[tex]5(x+9) = 10[/tex]
[tex]5x+45=10[/tex]
[tex]5x = -35[/tex]
[tex]x=-7[/tex]
Hope this helps.
Answer:
-7
Step-by-step explanation:
5(x + 9) = 10
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS =
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
...and is your order of operation.
First, divide 5 from both sides:
(5(x + 9))/5 = (10)/5
x + 9 = 10/5
x + 9 = 2
Next, isolate the variable x, by subtracting 9 from both sides:
x + 9 (-9) = 2 (-9)
x = 2 - 9
x = -7
x = -7 is your answer.
~
A 13.5-meter ladder leans against a brick wall and the ladder makes a 75∘ with the wall. The distance d the ladder goes up the wall is -- meters. Round your answer to the nearest tenth.
Answer:
3.5 m
Step-by-step explanation:
Use Pythagorean theorem to find the distance (d) the distance goes up the wall = adjacent to the angle 75° that is formed with the wall.
Length of ladder = the hypothenuse = 13.5 m
Thus, we would use:
Cos75 = adjacent/hypothenuse
Cos 75 = d/13.5
Multiply both sides by 13.5
13.5*cos(75) = d
13.5*0.2588 = d
3.4938 = d
d ≈ 3.5 m (nearest tenth)
HELPpppppPPPPPppppPPPPpppppp :)
Answer: 3/16 gallons of water
Step-by-step explanation:
With any fraction, if you multiply it by its reciprocal, it equals 1. (ex: 3/4*4/3=1, 1/2*2/1=1, 71/256*256/71=1) Thus, 2/3*3/2=1. Because 2/3 of the bin=1/8 gallon, simply multiply both sides of the equation by 3/2 and you will get that 1 bin of water=0.1875 gallons of water, or 3/16 gallons of water.
Hope it helps <3
Answer:
3/16
Step-by-step explanation:
Sara noticed that 1/8 gallons of water fills 2/3 of the water bin
We need to khow how many gallons fill the whole bin
we can write :
1/8⇒2/3x(the missing value)⇒ 1 x =( 1/8 )/ (2/3) = 3/16