Answer:
D
Step-by-step explanation:
Distributing the factors we get
-8x^2 -6x +35
if f(x) = 3x-2 and g(x) =2x+1 fine (f-g)(x)
Answer:
=x -3
Step-by-step explanation:
f(x) = 3x-2
g(x) =2x+1
(f-g)(x) = 3x-2 -(2x+1)
Distribute the minus sign
= 3x-2 -2x-1
Combine like terms
=3x-2x-2-1
=x -3
Solve for x.
Your answer must be simplified.
-x < -29
Answer:
x=29
Step-by-step explanation:
isolate x, and multiply the 29 by -1
AB and BC are perpendicular lines Find the value of x Please answer quick!!
Answer:
32 degrees
Step-by-step explanation:
If AB and BC are perpendicular, that means the angle is 90 degrees. They already give you 24 and 24 which add up to 48 and then you subtract 90 by 48 to find the missing value
Which statement is true about f(x) + 2 = 1/6 |x-3| ?
A) The graph of f(x) has a vertex of (–3, 2).
B) The graph of f(x) is a horizontal compression of the graph of the parent function.
C) The graph of f(x) opens downward.
D) The graph of f(x) has range of f(x) ≥ –2.
Answer:
Option D.
Step-by-step explanation:
Statement given,
f(x) + 2 = [tex]\frac{1}{6}|x - 3|[/tex]
Or f(x) = [tex]\frac{1}{6}|x-3|[/tex] -2
Parent function, g(x) = |x|
Absolute value function g(x) when shifted 3 units right,
g'(x) = |x - 3|
Vertically compressed by [tex]\frac{1}{6}[/tex] units and shifted 2 units down, then the new function will be
f(x) = [tex]\frac{1}{6}|x - 3|-2[/tex]
Characteristics of the graph of this function:
1). Vertex at (3, -2).
2). Vertical compression of the parent function by [tex]\frac{1}{6}[/tex].
3). Graph opens upwards.
4). Range of the graph f(x) is f(x) ≥ -2.
Therefore, Option D will be the answer.
To approach runway 17 of the Ponca City Municipal Airport in Oklahoma, the pilot must begin a 3° descent starting from a height of 2714 ft above sea level. The airport is 1007 feet above sea level. To the nearest tenth of a mile, how far from the runaway is the airplane at the start of his approach?
Answer:4.
Step-by-step explanation:
What is the exponential regression equation that fits these data? X y 1 3 2 8 3 27 4 85 5 240 6 570 A. Y = 2.93(1.03x) B. Y = 38.73x2 – 168.58x + 158.1 C. Y = 102.54x – 203.4 D. Y = 1.03(2.93x)
Answer:
D) [tex]Y = 1.03(2.93^x)[/tex]
Step-by-step explanation:
To Find the exponential regression equation that fits these data, we substitute the value of x into the equation and see if it produces the value of y.
x: 1 2 3 4 5 6
y: 3 8 27 85 240 570
A. Y = 2.93([tex]1.03^x[/tex])
Substituting x = 1 to get
Y = 2.93(1.03) ≅ 3
Substituting x = 2 to get
Y = 2.93([tex]1.03^2[/tex]) ≅ 3.1
Option A is wrong
B. Y = 38.73x² – 168.58x + 158.1
Substituting x = 1 to get:
Y = 38.73(1)² – 168.58(1) + 158.1 = 28.25
Therefore option B is wrong
C. Y = [tex]102.54^x - 203.4[/tex]
Substituting x = 1 to get:
Y = 102.54 – 203.4 = -100.86
D) [tex]Y = 1.03(2.93^x)[/tex]
Substituting x = 1 to get:
[tex]Y = 1.03(2.93^1)=3[/tex]
Substituting x = 2 to get:
[tex]Y = 1.03(2.93^2)=8.84[/tex]
Substituting x = 3 to get:
[tex]Y = 1.03(2.93^3)=25.9[/tex]
Option D is the closest, it is the correct option
An acite triangle has sixes measuring 10 cm and 16 cm .the length of the third side is unknown .which best describes the range of the possible values for the third side of the triangle ?
Answer:
6 < x < 26
Step-by-step explanation:
let x be the third side, then
difference of 2 sides < x < sum of 2 sides , that is
16 - 10 < x < 16 + 10
6 < x < 26
Students in a school are asked to pick either football, rugby or tennis to play in their lessons. the number of students who picked football and rugby are in the ratio of 4:3 the number of students who picked rugby and tennis in the ratio of 9:19 57 students picked tennis work out how many student picked football
Answer: 36 Students picked football
Step-by-step explanation: When calculating values by the use of given ratios, it is important to note that the ratio of one value as compared to the other is the same as the actual value compared to the other.
The ratio of students who picked rugby and tennis is given as ratio 9 : 19, which means for every 28 students (that was derived by 9 + 19), 9 would choose rugby and 19 would choose tennis. However, we have been given the total number of students who chose tennis as 57, hence the value 57 would now replace the ratio of 19. However the total number of those who chose rugby is not yet known, so we can write out an equation as shown below;
19/28 = t/x
Where t is the number of tennis players as represented by ratio 19 and x is the total number of both tennis and rugby players as represented by 28.
By cross multiplication we now have
19 * x = 28 * 57
x = (28 * 57)/19
x = 1596/19
x = 84
If a total of 84 students play both rugby and tennis, and 57 of them play only tennis, then the number of rugby players is derived as
r = x - t
r = 84 - 57
r = 27
Having determined that 27 students played rugby, and the ratio of football to rugby players is given as 4 : 3, the relationship can be mathematically represented as follows;
3/7 = r/y
Where r is the total number of rugby players and y is the total number of both football and rugby players
3/7 = 27/y
By cross multiplication you now have
3 * y = 7 * 27
y = (7 * 27)/3
y = 189/3
y = 63
If the total number of football and rugby players is 63 and out of these 27 play rugby only, then the number of football players is derived as;
f = y - r
f = 63 - 27
f = 36
Therefore the number of students who chose football is 36
Calvin is using a 10 foot ladder to paint his house. If he leans the ladder against the
house so that it makes a 71° angle with the ground, how far up the house does the
ladder reach? Round to two decimal places.
Answer:
9.46 ft
Step-by-step explanation:
Law of sines
10/sin(90)=x/sin(71)
x=(sin(71)*10)/sin(90)
x=9.46
anyone know the answer ? :(
The smallest x value allowed is x = 0, as shown as the leftmost point on the graph at (0,0).
The largest x value allowed is x = 11 because of the right-most point (11,100).
The domain is the set of any real number between those endpoints. We can pick any fractional or decimal number in this interval since time can be subdivided however you want, so the set of integers isn't enough.
The queen received a diamond brooch for her birthday. The largest gem weighed 5.1 carats. There were three other gems that weighed 0.7 carats, 1.4 carat, and 2.6 carats. What was the total weight of the gems?
Answer:
9.8 carats.
Step-by-step explanation:
5.1 + 0.7 + 1.4 + 2.6
= 9.8
< Salir
Topic 14 Online Assessment
Esperado 06/10/20 11:59 pm
00:00
Kurt and Drew walk the same distance to school. Their start and end times are different.
Who got to school faster, and by how many minutes?
Kurt
Answer:
Option C.
Step-by-step explanation:
Kurt started for the school at 07:35 and ends at 08:25.
Time taken by Kurt to reach the school
= 08:25 - 07:35
= (07 hours + 85 minutes) - (07 hours + 35 minutes) [Since 08 hours + 25 minutes = 07 hours + (60 + 25)minutes]
= 85 minutes - 35 minutes
= 50 minutes
Time taken by Drew to reach the school
= 08:30 - 07:55
= (07 hours + 90 minutes) - (07 hours + 55 minutes) [Since 08 hours + 30 minutes = 07 hours + (60 + 30)minutes]
= 90 minutes - 55 minutes
= 35 minutes
Difference in the time taken by Kurt and Drew = 50 - 35 = 15 minutes.
Therefore, Drew is 15 minutes faster than Kurt.
Option C. is the answer.
Help me answer this
Answer:
The answer would be 10.
Step-by-step explanation:
10 is the number that has the most number of dots above it.
What ratios are equivalent to 10:16? What Apply
Answer:
The answer is option 1 and 3.
Step-by-step explanation:
Firstly, you have to find the simplest form of the ratio by dividing the common numbers :
[tex]10:16 = \frac{10}{16} = \frac{5 \times 2}{8} = \frac{5}{8} [/tex]
Given that the simplest ratio is 5:8. Next, you have to simplify all the options given and which is equivalent to 5:8 :
Option 1,
[tex]30 \: to \: 48 = 30:48 = \frac{30}{48} = \frac{5 \times 6}{8 \times 6} = \frac{5}{8} = 5:8 \: (correct)[/tex]
Option 2,
[tex]25:35 = \frac{25}{35} = \frac{5 \times 5}{7 \times 5} = \frac{5}{7} = 5:7 \: (incorrect)[/tex]
Option 3,
[tex] \frac{40}{64} = \frac{5 \times 8}{8 \times 8} = \frac{5}{8} = 5:8 \: (correct)[/tex]
Option 4,
[tex]8:32 = \frac{8}{32} = \frac{1 \times 8}{4 \times 8} = \frac{1}{4} = 1:4\: (incorrect)[/tex]
Option 5,
[tex]5 \: to \: 15 = \frac{5}{15} = \frac{1 \times 5}{3 \times 5} = \frac{1}{3} = 1:3 \: (incorrect)[/tex]
ran 42 miles per hour in 8 hours whats his miles per hour
Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .
Answer:
work is shown and pictured
A water grist mill has a radius of 8ft and takes 6 seconds to make a complete rotation. A bucket starts at position (8,0). What are the coordinates of the bucket's location after 4 seconds? Round values to the nearest tenth.
(8.7, −3.5)
(−4, −6.9)
(4, −6.9)
(−8.7, −3.5)
Answer:
(−4 -6.9 )= x, y rotation 240 degree anti clockwise
Step-by-step explanation:
We are told radius = 8 so the center point or point of origin is 0.0
360/3 = 120 degree x 2 = 240 degree is where we need to be.
(8,0) circulating anti clockwise = -8,0 at 180 = 180 degree.
This is 3 seconds.
We divide 8/3 to find the 4th and know it will be negative in the 3rd quadrant across the negative y axis, the lower and left point on the graph.
We know both are negative if going anti clockwise 240 degree.
We also know that the hands of a clock or mechanics of a mill cannot increase in length they shorten so they cannot be 8.7 even though triangles slants do increase this is independent of completing the lengths in a triangle. The lengths shorten.
-4 = x this is because it crosses -4 x axis to reach to -6.9 y coordinate.
Y= 6.9 as the length of 8 is shortened by 1.1 units between each 180 degree line we have 210deg (shows (-6.35, -2.4) also; 240 deg (-6.9, -4 ) and a 270 deg (this shows (0,8)
if 240/6.9 = 34% reduction
As 8 6.9 of 8 as a percentage = 86.25
As a ratio decrease we have 13.75% with the size of the coordinates at 240 degrees from 180 degrees the highest point is 270 degrees and is half again 1.1/2 = 0.55 increase in coordinates of y.
y would show -6.35 at 210 degrees and x would show 1.1 whole ratio change and show -2.4 at 210 degrees. The reason for this is that it is cutting the axis line and is a narrowing crossing for x axis shortly before 180 degree change.
The shortest point of the hand and central to 240 and 180 is 210 degree.
PLEASE HELP!!!!!!! Which of the following sets of data does not contain an outlier? A.25, 33, 29, 31, 33, 33, 78, 28 B.101, 99, 98, 111, 11, 101, 103 C.45, 45, 45, 45, 35, 45 D.6, 7, 5, 8, 9, 1
Answer:
Choice C.
Step-by-step explanation:
Choice C has the most numbers close together, and not far away like an outlier.
Please mark me BRAINLIEST! Thanks!
Answer:
D.6, 7, 5, 8, 9, 1
Step-by-step explanation:
A.25, 33, 29, 31, 33, 33, 78, 28 78 is an outlier
B.101, 99, 98, 111, 11, 101, 103 11 is an outlier
C.45, 45, 45, 45, 35, 45 35 is an outlier
D.6, 7, 5, 8, 9, 1 no outliers the numbers are within 1.5 of the IQR
4m (2mn-8m) +3n (5n-6mn) please help me
Answer:
-32m-4mn+15n
Step-by-step explanation:
BODMAS means Bracket of Division Multiplication Addition Subtraction.
So any time you have lot of signs use BODMAS.
Thank you do you understand
If 4u-5v=23 and 2u+4v=-8, find the value of u+v
Answer:
-1
Step-by-step explanation:
4u-5v=23
-2(2u+4v=16) We multiply by -2 here to destroy u's.
4u-5v=23
-4u-8v=16 we addition both processes
-13v=39 so, v=-3
4u-5(-3)=23, 4u=8 so, u=2
u+v= -3+2= -1
Mrs. Whitlow gives her dog, Ekon, a weekly allowance to spend on treats. This week, Ekon
received $2.20 in nickels and dimes. If there is a total of 26 coins, how many of each coin did
Ekon get?
(Solve using systems of linear equation)
Answer:
8 nickels and 18 dimes
Step-by-step explanation:
Make a system of equations:
n + d = 26
5n +10d = 220
Solve by elimination by multiplying the top equation by -5. This gives you:
-5n -5d = -130
5n +10d = 220
Then solve to get 5d= 90, then d= 18.
Then plug 18 for d in the equation n + d= 26, so n + 18= 26
n= 8
In Need OF HELP !!!!!!!!
could the segments 9 9 1 form a triangle ?
Answer:
Yes.
Step-by-step explanation:
Yes . This would be an isosceles triangle (2 angles being 9 units long.
Simplify (x^4y)^3.
x^12y^3
x^4y^3
x^7y^3
=========================================================
Explanation:
Think of x^4y as x^4y^1. When we raise this to the third power, we multiply the outer exponent 3 by each inner exponent
x^4 turns into x^12
y^1 turns into y^3
-----------
This is one way to show your work
(x^4y)^3
(x^4y^1)^3
x^(4*3)*y^(1*3) ... multiplying outer exponent by each inner exponent
x^12y^3
-----------
A more lengthy way to get the answer is to write x^4y out three times multiplying by itself that many times. The outer exponent 3 tells us we will have three copies of x^4y multiplied with itself.
(x^4y)^3 = (x^4y)*(x^4y)*(x^4y)
(x^4y)^3 = (x^4*x^4*x^4)*(y*y*y)
(x^4y)^3 = ( x^(4+4+4) ) * ( y^(1+1+1) )
(x^4y)^3 = x^12y^3
help
kiloikuhgrfdsxdcfgbhujolp0;polk
Answer: 1. infinitely many solutions
2. no solution
3. one solution
4. no solution
5. infinitely many solutions
Step-by-step explanation:
1. infinitely many solutions - when it is consistent and the number of variables is more than the number of nonzero rows
2. no solution - would mean that there is no answer to the equation. It is impossible for the equation to be true no matter what value we assign to the variable.
3. one solution - which is when one variable equals one number
4. no solution
5. infinitely many solutions
what’s the perimeter
Answer:
the answer is 10
Step-by-step explanation:
the other shape is half of all the degreed of the first one
Answer: 10
Step-by-step explanation:
AB: 3.0/2 = 1.5 = EF
BC: 5.0/2 = 2.5 = FG
CD: 4.0/2 = 2.0 = GH
DA: 8.0/2 = 4.0 = EH
1.5+2.5+2.0+4.0 = 10
You buy 1.65 pounds of apples and 1.85 pounds of plums. Apples and plums sell for the same price per pound. The total cost, after using a 65cents-off coupon, is $3.20. If c represents the cost of the fruit in dollars per pound, what equation could you use to find the value of c?
Answer:the value is 20
Step-by-step explanation:
PLEASE HELP!!Write an algebraic expression to represent the following verbal expression.
eight more than the product of a number and 100
Select one:
O a. 100x + 8
O b. 100x - 8
O c. 100 + 8x
O d. 8 - 100x
Answer:
work is pictured and shown
An expression to represent the given verbal expression is,
⇒ 100x + 8
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The verbal expression is,
''Eight more than the product of a number and 100.''
Let an number = x
So, We can formulate;
⇒ Eight more than the product of a number and 100.
⇒ 8 + x × 100
⇒ 8 + 100x
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ2
Which number is irrational?
-4
2/9
8.26
11
Answer:
C. Square Root of 11
Edg 2020
Answer:
C
Step-by-step explanation:
edge 2020
What is the slope of the line shown below?
Answer:
4
Step-by-step explanation:
(9 - 1) / (3 - 1) = 8/2 = 4
Answer:
4
Step-by-step explanation:
To find the slope using two points
m= (y2-y1)/(x2-x1)
= (9-1)/(3-1)
= 8/2
= 4