Answer:
[x] f(x)
[-6] 13
[-3] 4
[0] 1
[3] 4
[9] 28
Step-by-step explanation:
f(0) = (1/3)(0^2)+1 = 1
f(3) = (1/3)(3^2)+1 = 4
f(9) = (1/3)(9^2)+1 = 28
A plane traveled 5525 miles with the wind in 8.5 hours and 4505 miles against the wind in the same amount of time. Find the speed of the plane in still air and the speed of the wind. The speed of the plane in still air is _____ (Hours,Miles,Mph) Simplify your answer.
Answer:
The speed of the plane in still air is 590Mph
The speed of the wind is 60Mph
Step-by-step explanation:
Let
s= the speed of the plane in still air
w= the speed of the wind
Flying with the wind:
5525=(s+w)*8.5
5525=8.5s + 8.5w (1)
Flying against the wind:
4505=(s-w)*8.5
4505=8.5s - 8.5w (2)
Add (1) and (2) to eliminate w
5525=8.5s + 8.5w
4505=8.5s - 8.5w
10,030=17s
Divide both sides by 17
10,030/17=17s/17
590=s
s=590Mph
Substitute the value of s into (1)
5525=8.5s + 8.5w
5525=8.5(590) + 8.5w
5525=5,015 + 8.5w
5525-5015=8.5w
510=8.5w
Divide both sides by 8.5
60=w
w=60Mph
The speed of the plane in still air is 590Mph
The speed of the wind is 60Mph
( just #1 ) ( a and b
1. Identify the sides or angles that need to be congruent in order to make the
Answer: AB ≅ DE
∠BAC≅∠DEF
Step-by-step explanation:
as AAS is a criterion where two angles and a side not included between the angles is congruent with the other triangle's two angles and the side not included between the angles.
True or False: When you interpret a Stem-and-Leaf plot, you make a list of numbers.
Answer:
False
Step-by-step explanation:
is this right?? please help!
Answer:
6 < x < 8
Step-by-step explanation:
The compound inequality in this instance represent the "and" condition, not the "or" condition.* We might solve it like this.
-47 > 1 -8x > -63 . . . . given
Multiply by -1:
47 < -1 +8x < 63
Add 1:
48 < 8x < 64
Divide by 8:
6 < x < 8
______
* You can tell this is the case by looking at the ends of the given statement:
-47 > -63 . . . . a true statement, so the solution set will be an intersection, not a union.
order the following values from least to greatest: 22.4, -28, 27, -17
Answer:
asDawas
Step-by-step explanation:
sadasda
Answer: -28, -17, 22.4, 27
hope this helps
solve as many as you can please
Answer:
1. 5²
2. 6p⁵
3. y⁶
4. 1/5w²
5. n⁶/9p⁷
7. 12²
8. 2/5
What is (7 / 14) * (b - 6) when b is 7?
Answer:
1/2
Step-by-step explanation:
Well if b is 7 we plug it into the following equation,
(7 / 14) * (b - 6)
So if b is 7, we do 7-6 which is 1.
Then 7 / 14 which is 1/2.
So 1/2 * 1 is 1/2.
Answer:
1/2 or 0.5 (same thing)
Step-by-step explanation:
If you simplify 7/14, you get 1/2, or 0.5.
Plug in 7 for b. 7-6 is 1, so 1/2 * 1 is 1/2.
Using the ruler postulate, find the distance between-9 and 2.
Answer:
11
Step-by-step explanation:
The triangles in the figure are similar: ΔABC ∼ ΔDEF. Which of the following statements must be true? options: A) AB/DE=BC/EF=CA/FD B) None of these statements are true. C) AB=BC D) AB/DE=2
Answer:
Answer A
Step-by-step explanation:
We see that ABC is similar to DEF. Pay attention to the order of these letters. The order that they read (left-to-right) is the order that they are similar. For example, AB is similar to DE. Despite being different triangles, they are both the first two letters in the triangle. So, knowing this, we can conclude that answer choice A is correct.
Answer:
The answer is A
Step-by-step explanation:
Please help..........
See the attached picture:
Murray’s father deposited $6,000 of his savings into two accounts. One account earns 1.5 percent interest, and the other account earns 2.5 percent interest. At the end the year, the interest in the account that earned 2.5 percent was $110.00 more than the other account. Which system represents the amounts of money, x and y, that was put into each account? x + y = 6,000. 0.025 x + 0.015 y = 110. x + y = 6,000. 0.25 x + 0.15 y = 110. x + y = 6,000. 0.025 x minus 0.015 y = 110. x + y = 6,000. 2.5 x minus 1.5 y = 110.
Answer:
x+y=6000
Step-by-step explanation:
0.025x-,0.015y=110
Answer:
x+y=6000
0.025x-,0.015y=110
Step-by-step explanation:
May I please get Brainliest to rank up? Thank you and have an amazing day :D
Which represents the inverse of the function f(x) = 4x?
h(x) = x + 4
h(x) = x -4
h(x) = 3
h(x) =
77 X
This is the same as h(x) = x/4
In decimal form, it would be h(x) = 0.25x
=============================================
Explanation:
Inverses undo the original function. The original function tells us to take any input (x) and multiply by 4 to get the output y = f(x) = 4x
To get the inverse, we reverse the operation applied here. The opposite of multiplication is division. So we'll divide by 4 instead of multiply by 4. This is why the answer is x/4 or (1/4)x
-----------
Another approach is to do the following: Replace f(x) with y. Swap x and y. Solve for y
f(x) = 4x
y = 4x
x = 4y
4y = x
y = x/4
h(x) = x/4
We end up with the same result as before.
-----------
Extra info:
For any real number x, the following two equations are true
h( f(x) ) = x
f( h(x) ) = x
please hurry! ill give brainliest to the fastest answer!
Which expression would the model be most helpful in solving?
An area model has 5 shaded parts and 1 unshaded part. The shaded part is labeled 5/6.
A. 1/6 ÷ 5/6
B. 5/6 ÷ 1/6
C. 6 ÷ 1/6
D. 6 ÷ 5/6
5/6 divided 1/6, this is the correct answer
:))))
Answer:
5/6 ÷ 1/6
Step-by-step explanation:
A circle has a circumference of 3.143.143, point, 14 units. What is the diameter of the circle?
Answer:
The diameter is 1.
Step-by-step explanation:
The circumference is 3.14 units
C = pi * d
Using 3.14 for pi
3.14 = 3.14 d
Divide each side by 3.14
3.14/3.14 = 3.14 d/ 3.14
1 =d
tina bought a notebook for $6.59 a backpack for 24.95 and a pen for $4.98
Answer: 36.52 dollars she spent
How do you prove a parallelogram using these 2 triangles, somebody needs to explain this to me?
RQP=ONP
Since R is the midpoint of MQ, then MR and RQ are equal.
Since R is the midpoint of MQ, then P must be the midpoint of NQ
The triangles are congruent and the trapezoid is three or those triangles.
RQR reflected is a triangle inside the trapezoid. The triangles at the left and right of the trapezoid are congruent.
Since all the triangles are the exact same, then they have the same height and same length.
So you connect them without like sliding a triangle up a little bit.
The 4 congruent triangles add up to be a parallelogram.
I don't know if this is what you learned in class or where ever you did learn it but this is my way (not where-I-learned-it-from's way).
30. Three apples plus twice as many pears add up to one-half the number of grapes in a fruit basket. How many grapes are
in the basket?
(A) 8
(B) 18
c.28
d.38
Answer:
3 + 6 = 1/2(#grapes)
3 + 6 = 9
9 = 1/2(#grapes)
2(9) = 1(#grapes)
18 = # of grapes
Step-by-step explanation:
Describe how the graph of the equation relates to the graph of y = x2.
f(x) = -x + 5)2
Answer:
Step-by-step explanation:
It's y = x^2, not y = x2. The graph of y = x^2 is a parabola with vertex (0, 0) and which opens up.
The graph of y = (x + 5)^2 has the same shape as that of y = x^2, but has been translated 5 units to the left.
The graph of the function f(x) = - (x + 5)² will rotate along the x-axis and shift 5 units to the left.
What is translation?There are four different kinds of translation: stretching, shrinking, rotating, and shifting.
When shifting, the entire graph is moved in the XY direction. When expanding and contracting a graph, we do so by a factor of k. When rotating a graph, we do so either clockwise or counterclockwise.
We know the graph of the equation y = x² is a parabola that opens upwards.
Now, the graph of equation f(x) = - (x + 5)² will first rotate 180° along the x-axis as there is a change in sign y and shift x + 5 = 0 ⇒ x = - 5 shift 5 units to the left.
learn more about translation here :
https://brainly.com/question/17485121
#SPJ2
Identify the sequence as arithmetic or geometric. 14, 11, 8, 5,
Answer:
sequence is arithmetic
Step-by-step explanation:
A geometric sequence has a common ratio r between consecutive terms.
An arithmetic sequence has a common difference d between consecutive terms, thus
11 ÷ 14 ≠ 8 ÷ 11 ≠ 5 ≠ 8 ← not geometric
11 - 14 = - 3
8 - 11 = - 3
5 - 8 = - 3
There is a common difference d between consecutive terms
Thus sequence is arithmetic.
Answer:
Step-by-step explanation:
This is an arithmetic sequence.
First term = a = 14
Second term = 11
Common difference = second term - first term
= 11 - 14
= - 4
Each term is got by adding (-4) to the previous term
Third term = 11 + (-4) = 11 -4 = 8
Select the correct answer from the drop-down menu. Emily is a geometry teacher. She asks each student to bring in a cutout of a parallelogram. She tells them that one angle must measure 50° and the length of one side must be 10 centimeters. Emily also states that the parallelogram must not be a rhombus, rectangle, or square. Using this information, each student can prepare parallelogram(s).
Answer:
50
Step-by-step explanation:
this is confusing and I'm a straight A student in highschool.I'm a junior to be exact
Answer:
the correct answer is that the students infinitely many parallelograms
In the circle below, O is the center, MP is a diameter, and mZMOL = 60°. Find the measure of LNM.
Answer:
30°
Step-by-step explanation:
Hey, srry for the inaccurate sketch
I hope you will understand the way I solved it
If not, don't hesitate to ask questions ;)
Plz help me with the hw I do not have points please help me please I will give you the questions and send it on the comment -4=-1/8e
Answer:
32
Step-by-step explanation:
-4=-1/8e
multiply both sides by -8
-8(-4)=-1/8(-8)e
32=e
Answer:
-32
Step-by-step explanation:
1/8 x8/1=1, so you would also multiply -4 by 8 and get -32
A taxi driver charges a flat rate of $3.50 plus an additional $1.65 per mile. If Mohammad wants to spend, at most, $60, how far can he travel in the taxi cab?
Round your answer to the nearest mile.
O A. 34 miles
OB. 17 miles
C. 35 miles
D. 16 miles
Answer:
A. 34 miles
Step-by-step explanation:
First, you want to subtract $3.50 from $60. Now you have $56.50. Now you want to divide that by $1.65, to see how many miles you can achieve with your price limit. So, now you have a grand total of 34.24. You round that, and you finally have your answer.
The answer to this problem is A. 34 miles
The number of miles that he can travel in the taxi cab will be 17 miles. Then the correct option is B.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
A cab driver charges a level pace of $3.50 in addition to an extra $1.65 per mile.
Let 'y' be the total amount and 'x' be the number of miles. Then we have
y = 3.50x + 1.65
If Mohammad wants to spend, at most $60. Then the number of miles is given as,
60 = 3.50x + 1.65
3.50x = 58.35
x = 16.67
x ≈ 17 miles
The number of miles that he can travel in the taxi cab will be 17 miles. Then the correct option is B.
More about the linear equation link is given below.
https://brainly.com/question/11897796
#SPJ2
f(X) x-2/2 find FF(X)
[tex]f(x) = \dfrac{x-2}{2}\\\\\\f(f(x)) = \dfrac{\dfrac{x-2}{2}-2}{2}\\\\\\f(f(x)) = \dfrac{\dfrac{x-2-4}{2}}{2}\\\\\\f(f(x)) = \dfrac{x-6}{4}[/tex]
......................................
Answer:
Towards the left
Step-by-step explanation:
PLEASE READ BEFORE PROCEEDING! I want you all to get the answer without wasting money so you can still answer with something but I will still place the answer at the end of the question. What are two factors of the composite number 46 other than 1 and 46? A. 3 and 7 B. 2 and 13 C. 2 and 23 D. 3 and 33 ANSWER : C. 2 and 23
Answer:
The answer is C:2 and 23
Step-by-step explanation:
Answer:
U have told the answer in the ques. then why r u asking question.
U know the answer already...
PLZ HELP
Anand needs to hire a plumber. He's considering a plumber that charges an initial fee of $65 along with an
hourly rate of $28. The plumber only charges for a whole number of hours. Anand would like to spend no more than $250, and he wonders how many hours of work he can afford.
Let H represent the whole number of hours that the plumber works.
1) Which inequality describes this scenario?
Choose 1 answer:
A. 28 + 65H < 250
B. 28 + 65H > 250
C. 65 + 28H < 250
D. 65 +28H > 250
2) What is the largest whole number of hours that Anand can afford?
Answer:
c
6 whole hours
Step-by-step explanation:
in a survey of 420 people, 85% said they drink coffee. of these, 1/3 said they drink their coffee black. how many of the people surveyed drink it black?
Answer:
A.) 119
420 * 0.85 is 357 and 357 * 1/3 is 119
Hope this helps ^^
Answer:
119
Step-by-step explanation:
The total number of people who had taken the survey is 420 wich is equivalent to 100%.
The percentage of people who drink coffee is 85%.
●●●●●●●●●●●●●●●●●●●●●●●●
Let x be the number of people drinking coffee
● 420 => 100%
● x => 85%
These values are proportional so we can cross-multiply them
● x*100 = 420*85
● x = (420*85)÷100
● x = 357
The number of people who drink coffee is 357.
■■■■■■■■■■■■■■■■■■■■■■■■■
Let y be the number of people who drink black coffee.
y is 1/3 of 357 since people who drink black coffee represent the third of the total number of people drinking coffee in general.
● To get y multiply 1/3 by the total number of people drinking coffee (357)
●y = (1/3)*357
● y = 119
119 is the number of people who drink black coffee
4) Kevin and his team do not know what direction Mike went when he left the trail. This means that they will have
to search a circular area based on how fast Mike walks. He has been missing for 12 hours and his estimated
speed is 4 km per hour. Determine the surface area of the circle to be searched.
Answer:
Step-by-step explanation:
Distance traveled by Mike in 12 hours = 4 * 12 = 48 km
This will become the radius of the circle
r = 48 km
Area of the circle to be searched = πr²
= 3.14 * 48 * 48
= 7234.56 square km
Which of the following equations is of a parabola with a vertex at (0, 6)?
O y= (x - 6)2
O y= (x + 6)2
O y=x2-6
Oy= x2 + 6
Answer:
y= x^2 + 6
Step-by-step explanation:
y= x2 + 6 (which should be written as y= x^2 + 6) has the form y - k = a(x - h)^2. For y= x^2 + 6, h = 0 and k = 6. Thus the vertex is (0, 6)