Answer:
Step-by-step explanation:
f(x) = (x - 2)(x - 5)x(x+ 7)
f(x) = (x^2 - 7x + 10)*x * (x + 7)
f(x) = x(x^3 - 39x + 70)
f(x) = x^4 - 39x^2 + 70x
To show that this is correct, I've made a graph with these points labeled. The graph is just around the x axis. The local maximums and minimums are just too large a value.
The Coal Utility Company is burning coal to produce electricity. The following cost function illustrates the cost in dollars (C) of removing t% of the hazardous toxins generated from burning coal. What happens to the cost as t approaches 100?
C= 55,000t/100-t for 0 ≤ t < 100
A The cost continues to increase.
B The cost continues to decrease.
C The cost approaches $0.
D The cost approaches $55,000.
Answer:
the cost continues to increase
Step-by-step explanation:
the cost (C) approaches infinity (or becomes very large) as t approaches 100%. Thus, the correct answer is: A. The cost continues to increase.
To determine what happens to the cost (C) as t approaches 100%, we can take the limit of the cost function as t approaches 100.
The cost function is given as: [tex]\[ C = \frac{55,000t}{100 - t} \][/tex]
Now, let's find the limit of C as t approaches 100:[tex]\[ \lim_{{t \to 100}} C = \lim_{{t \to 100}} \frac{55,000t}{100 - t} \][/tex]
To find this limit, we can use direct substitution:[tex]\[ \lim_{{t \to 100}} \frac{55,000 \times 100}{100 - 100} = \lim_{{t \to 100}} \frac{5,500,000}{0} \][/tex]
Since the denominator approaches 0 as t approaches 100, the limit is undefined (infinite).
Therefore, the cost (C) approaches infinity (or becomes very large) as t approaches 100%. Thus, the correct answer is: A. The cost continues to increase.
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find the last two digits of 2^2016
Help anyone can help me do this question,I will mark brainlest.
Answer:
Step-by-step explanation:
E ⊂ F ⊂ G
PLEASE HELP ME THIS IS DUE TODAY :( YOU WILL GET 20 POINTS
The picture is below :(
Question: If a point C is inside AVB then m AVC +_______= m AVB
m∠AVC+m∠CVB=m∠AVB. Option b is correct.
Given a figure in which point C is inside ∠AVB and ∠AVB=62°.
A geometric figure formed by two lines starting from a common point or two planes starting from a common line is called an angle. The space between these lines or planes is measured in degrees.
Knowing that a point C is between ∠AVB and ∠AVC=39° and ∠CVB=23°, then
From the figure, we can see that C is inside ∠AVB, so ∠AVB is divided into two parts, namely ∠AVC and ∠CVB
m∠AVC+m∠CVB=m∠AVB
Now substitute the values we get
39°+23°=62°
62°=62°
So both sides are equal and it's proven.
Hence, a point C is between ∠AVB and ∠AVB=62° then m∠AVC+m∠CVB=m∠AVB.
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d) The shadow of a vertical tower on a level ground increases by 10m, when the altitude of sum changes from angle of elevation 45° to 30°. Find the height of the towe correct to one place of decimal. (Take root 3 = 1.732)
Help As soon as possible please with picture please
Answer:
Below.
Step-by-step explanation:
I cant draw you a picture but it will be one right triangle inside the other where the vertical tower will be one leg common to 2 triangles and the base of the 2 triangles will be x and x+10 metres.
Tan 30 = h/ (x + 10)
tan 45 = h/x where h is the height of the tower.
From the second equation x = h / tan45
Substituting in the first equation;
tan30 = h / (h/tan45 + 10
Tan 30 = 1/ √3 and tan 45 = 1 so
1/ 1.732 = h/ (h + 10)
0.5774 = h/(h + 10)
h = 0.5774h + 57.74
0.4226 h = 57.74
h = 136.6 m to nearest tenth.
Your house is located at point L. Your friend's house is located at point N.
M is the midpoint of IN. How far do you need to travel to walk home from
your friend's house?
3x
2x+ 2
M
N
Answer: 12 units
Replace "units" with "feet", "meters", etc. if your teacher instructs it.
==============================================================
Explanation:
M is the midpoint, which means segments LM and MN are the same length. This is because M cut LN in half.
So,
LM = MN
3x = 2x+2
3x-2x = 2
x = 2
Use this x value to then say
LM = 3x = 3*2 = 6MN = 2x+2 = 2*2+2 = 4+2 = 6Segments LM and MN are 6 units each.
From that, we know,
LN = LM+MN = 6+6 = 12
The distance from your house to your friends house is 12 units.
0.12 is a repeating decimal
4. Write 0.12 as a fraction.
Let x=
100x=
100x- x= -
99x=
x=
So 0.12 is equal to
Answer:
12/99
Step-by-step explanation:
x=0.121212
100x=12.121212
100x-x=12.1212-0.1212
99x=12
x= 12/99
Answer:
6/50 is simplified to 3/25
Step-by-step explanation:
step 1 Address input parameters & values.
Input parameters & values: The decimal number = 0.12
parameters & values: The decimal number = 0.12step 2 Write it as a fraction
parameters & values: The decimal number = 0.12step 2 Write it as a fraction0.12/1
parameters & values: The decimal number = 0.12step 2 Write it as a fraction0.12/1step 3 Multiply 100 to both numerator & denominator
parameters & values: The decimal number = 0.12step 2 Write it as a fraction0.12/1step 3 Multiply 100 to both numerator & denominator(0.12 x 100)/(1 x 100) = 12/100
parameters & values: The decimal number = 0.12step 2 Write it as a fraction0.12/1step 3 Multiply 100 to both numerator & denominator(0.12 x 100)/(1 x 100) = 12/100It can be written as 12% = 12/100 or 12/100
parameters & values: The decimal number = 0.12step 2 Write it as a fraction0.12/1step 3 Multiply 100 to both numerator & denominator(0.12 x 100)/(1 x 100) = 12/100It can be written as 12% = 12/100 or 12/100step 4 To simplify 12/100 to its lowest terms, find LCM (Least Common Multiple) for 12 & 100.
parameters & values: The decimal number = 0.12step 2 Write it as a fraction0.12/1step 3 Multiply 100 to both numerator & denominator(0.12 x 100)/(1 x 100) = 12/100It can be written as 12% = 12/100 or 12/100step 4 To simplify 12/100 to its lowest terms, find LCM (Least Common Multiple) for 12 & 100.4 is the LCM for 12 & 100
parameters & values: The decimal number = 0.12step 2 Write it as a fraction0.12/1step 3 Multiply 100 to both numerator & denominator(0.12 x 100)/(1 x 100) = 12/100It can be written as 12% = 12/100 or 12/100step 4 To simplify 12/100 to its lowest terms, find LCM (Least Common Multiple) for 12 & 100.4 is the LCM for 12 & 100step 5 divide numerator & denominator by 4
parameters & values: The decimal number = 0.12step 2 Write it as a fraction0.12/1step 3 Multiply 100 to both numerator & denominator(0.12 x 100)/(1 x 100) = 12/100It can be written as 12% = 12/100 or 12/100step 4 To simplify 12/100 to its lowest terms, find LCM (Least Common Multiple) for 12 & 100.4 is the LCM for 12 & 100step 5 divide numerator & denominator by 412/100 = (12 / 4) / (100 / 4)
parameters & values: The decimal number = 0.12step 2 Write it as a fraction0.12/1step 3 Multiply 100 to both numerator & denominator(0.12 x 100)/(1 x 100) = 12/100It can be written as 12% = 12/100 or 12/100step 4 To simplify 12/100 to its lowest terms, find LCM (Least Common Multiple) for 12 & 100.4 is the LCM for 12 & 100step 5 divide numerator & denominator by 412/100 = (12 / 4) / (100 / 4)= 3/25
parameters & values: The decimal number = 0.12step 2 Write it as a fraction0.12/1step 3 Multiply 100 to both numerator & denominator(0.12 x 100)/(1 x 100) = 12/100It can be written as 12% = 12/100 or 12/100step 4 To simplify 12/100 to its lowest terms, find LCM (Least Common Multiple) for 12 & 100.4 is the LCM for 12 & 100step 5 divide numerator & denominator by 412/100 = (12 / 4) / (100 / 4)= 3/253/25 is a simplest fraction for the decimal point number 0.12
help!!!!!!!!!!!!!!!!!!
Answer:
a = 8, B = - 2, c= - 21
Step-by-step explanation:
Just expand the brackets carefully
The first three terms of a sequence are given. Round to the nearest thousandth (if
necessary).
6,2,2/3….
Find the 8th term.
Answer:
Just divide 2/3 by 3 (or multiply by 1/3), 6 times to get the answer.
What is the quotient of 5/6 and 3/8?
Answer:
2 2/9
Step-by-step explanation:
5/6 ➗3/8
We can use the reciprocal.
So, 5/6 * 8/3 = 40/18.
40/18 can be simplified to 20/9 or 2 2/9
Is (2,3),(4,7),(1,-3),(5,7),(-2,8) a function? Please help
Answer:
Yes, this is a function.
Step-by-step explanation:
Every input has its own unique output (no x number goes to more than one y number).
Write the equation y=-4x+7 passing through the point (-6,-8) in point slope intercept form?
Answer:
y + 8 = -4 (x + 6)
Step-by-step explanation:
y + 8 = -4 (x + 6)
What is 1,025 divided by 68 full explanation
Answer:
15.1 (rounded to the nearest tenth decimal point)
Step-by-step explanation:
The explanation is, this is simple maths, nothing else. Let me know if it helps. Thank you
please help angles on a Cartesian plane
Answer:
a) 16/25
b)3/2
Step-by-step explanation:
all explaination is in picturw below
Janelle is shopping around for the best cell phone plan. The best company is offering a $50 set up fee plus $60 per month. If the contract is for one year, how much will Janelle end up paying after one year?
$650
None of these choices are correct.
$770
$700
$720
Answer:
770
Step-by-step explanation:
12 month ×60 per month
Plus 50 set up fee
=770
Does a rhombus have perpendicular line segments
Answer:
A rhombus is a geometric figure that lies in a plane. It is defined as a quadrilateral all of whose sides are congruent. It is a special type of parallelogram, and its properties (aside from those properties of parallelograms) include:
Its diagonals divide the figure into 4 congruent triangles.
Its diagonals are perpendicular bisectors of eachother.
If all of a rhombus' angles are right angles, then the rhombus is a square.
Answer:yes it does have perpendicular lines
Step-by-step explanation:
24 - 8X = -16
Help pls
Answer:
5
Step-by-step explanation:
24-8X=-16
24+16=8X
40=8X
X=5
Answer:
x=5
Step-by-step explanation:
24 - 8x = -16
=> 24 + 16 = 8x
=> 8x = 24 + 16
=> 8x = 40
=> x = 40/8
=> x = 5
arrange 7 people into group(s) such that a group must have at least 3 people?
7 people can be divided into 2 groups, the first group having 4 people; and the second group having 3 people.
When multiplying two negative numbers, what kind of number does one always get for an answer?
Answer:
a positive number
Step-by-step explanation:
-(-) = +
for example, -1 * -1 = 1
When 7 is subtracted from four times a certain number, the answer is 37. What is the
number?
Answer:
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what is the probability i will roll a 4 or multiple of 3 on a standard # cube
Answer:
probability is 1/2
Step-by-step explanation:
multiples of 3 that will occur in standard dice = 3,6
hence, theres 3 occasions that u will roll a 4 or multiple of 3 on a standard # cube:
3/6 = 1/2
solve for x
8x = y
PLEASE HELPPPPPP
Hi ;-)
[tex]8x=y \ \ /:8\\\\\boxed{x=\frac{y}{8}}[/tex]
Gabbar watched 650 movies in the last 5 years. Every year he watched 10 movies less than the previous year. How many movies did he watch in the 1st year?
Answer:
he watched 2movie in 1st year
Simplify each expression
1. 2x + (x - 4) + (2y - 5)
2. 3(x - 2) + 4(x + 3)
Answer:
1. 3x-9+2y
2. 7x+6
Step-by-step explanation:
1. 2x + (x - 4) + (2y - 5)
2x+x-4+2y-5
3x-9+2y
2. 3(x - 2) + 4(x + 3)
3x+4x-6+12
7x+6
Answer:
1. 3x - 9 + 2y 2. 7x + 6
Step-by-step explanation:
1.
2x + (x - 4) + (2y - 5) =
3x - 9 + 2y
2.
3(x - 2) + 4(x + 3) =
3x - 6 + 4x + 12 =
7x + 6
Sarah ran 4 7/8miles, then walked 1 11/12 miles.
Find the total distance she traveled.
Answer:
6 19 /24
Step-by-step explanation:
find the lcd and add
factorize 6(a+1)²+4(a+1)
Answer:
[tex]2(a + 1) \times (3a + 5)[/tex]
Step-by-step explanation:
[tex]6(a + 1 {)}^{2} + 4(a + 1)[/tex]
➡️ [tex]2(a + 1) \times (3(a + 1) + 2)[/tex]
➡️ [tex]2(a + 1) \times (3a + 3 + 2)[/tex]
➡️ [tex]2(a + 1) \times (3a + 5)[/tex]
ASAP PLS
The soda shop has 11 flavors of soda, 2 kinds of fruit syrup, and 6 sweeteners. How many different sodas can be made with one flavor of soda, one fruit syrup, and one sweetener?
X/6 = 8 what is the answer
Answer:
x = 48
Step-by-step explanation:
Multiply both sides by 6
x = 6 * 8
x = 48
Check:
48/6 = 8
8 = 8
Answer:
[tex] \frac{x}{6} = 8 \\ \\ x = 8 \times 6 \\ \\ x = 48[/tex]
all the number sets that apply to -4/5
-8/10,-12/15,-16/20,-20/25,-24/30,etc.
The number sets that apply to -4/5 is the fractions.
What is a fraction?Fractions represent the parts of a whole or collection of objects.
A fraction has two parts. The number on the top of the line is called the numerator and the number on the top of the line is called the denominator.
Now the given number is,
-4/5
-4/5 is a fraction. A fraction has two components numerator and denominator. This can positive or negative. Other example of fractions include 1/2,3/2,-5/2,-1/3.
The numbers who are not fractions are 0, 3, 6, 7.7.
Thus, the number sets that apply to -4/5 is the fractions.
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No. of acute angles in the given figure:_____
Answer:
looks like there's 5
Step-by-step explanation:
acute angles are under 90°
obtuse are over 90°
right angles are 90°