Answers
Answer:
5,-17
6,-21
Step-by-step explanation:
When the input goes up by 1 the output goes up by negative 4 each time
Related Questions
Given that g(x) = f(x) + k, identify a value of k that transforms f into g
Answers
Answer:
7
Step-by-step explanation:
The value of k will translate the graph up k units if k is positive and down k units if k is negative. To transform f into g line f would translate up 7 units.
Find LCD in number 16 and multiply all numerators by it to clear the fractions
Answers
The LCD of the given terms of expression will be x² - 4 since others can divide it.
How to find the LCDThe least common denominator is the smallest number or expression of all the common multiples of the denominators when 2 or more fractions or expressions are given.
Given the terms of the expressions
(x+2)(x-2) and (x^2 - 4)
Expand (x^2 - 4) using the difference of two square:
x² - 4 = x² - 2²
x² - 4 = (x+2)(x-2)
Based on the expansion, we can conclude that the LCD of the given terms of expression will be x² - 4
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3/5 of Tom's favorite number is 60. what is tom's favorite number
Answers
Answer:
100
Step-by-step explanation:
its saying 60% of his favorite number is 60
because the numbers are the same that means the number must be 100
A ball follows a path described by the function h(x) = -3x^2 +12x +14 where h(x) is the height of the ball after x seconds. After how many seconds will the ball be at its
highest point?
A. 1 second
B. 2 seconds
C. 3 seconds
D. 4 seconds
Answers
Answer:
3
Step-by-step explanation:
8 out of 9 people in a class of 360 people are right handed, what is the percentage or right handed people and left. Then how many people out of the class of 360 is left and right handed.
Answers
Answer:
88.889% are right handed, 11.111% are left handed, ~320 people are right handed in a class of 360, ~40 people are right handed.
Step-by-step explanation:
The fraction 8/9 is equal to .88889, or 88.889%
Likewise, the fraction 1/9 (remainder) is equal to .11111, or 11.111%
By multiplying 360 by these fractions to get the number of people who fit these criteria in the sample, you get:
360*8/9 = 320 people right handed.
360*1/9 = 40 people left handed.
Cheers!
PLEASE HELP
The graph below shows a company's profit f(x), in dollars, depending on the price of pens x, in dollars, sold by the company:
Graph of quadratic function f of x having x intercepts at ordered pairs 0, 0 and 6, 0. The vertex is at 3, 120.
Part A: What do the x-intercepts and maximum value of the graph represent?What are the intervals where the function is increasing and decreasing, and what do they represent about the sale and profit?
Part B: What is an approximate average rate of change of the graph from x = 3 to x = 5, and what does this rate represent?
Part C: Describe the constraints of the domain.
Answers
Answer:
See below ↓
Step-by-step explanation:
Part A
The x-intercepts represents when the profit of the company is 0 dollars. It means they are making no profit when selling the pens at that pricePart B
y-value when x = 3 ⇒ 120y -value when x = 5 ⇒ 60rate of change = Δy/Δx = -60/2 = -30This rate represents the depreciating profit of the company when increasing the price of a pen from $3 to $5Part C
Domain of the graph is only true for positive values of yDomain ⇒ 0 ≤ x ≤ 6Answer:
Part A
The x-intercepts are when f(x) = 0.
Since x represents the price of pens, and f(x) represents the company's profit, the x-intercepts give the price of the pens when the profit is zero.
⇒ the profit is zero when the price of pens are $0 and $6
The maximum value of the graph (vertex) represents the cost of pens when the profit is at its highest. Therefore, the optimal amount to price the pens to get the maximum profit.
⇒ maximum profit of $120 occurs when the pens are priced at $3
Part B
[tex]\sf average \ rate \ of \ change=\dfrac{change \ in \ y}{change \ in \ x}[/tex]
From inspection of the graph, f(3) = 120 and f(5) ≈ 60
[tex]\sf \implies average \ rate \ of \ change=\dfrac{60-120}{5-3}=-30[/tex]
This means that as the price of the pens increases by $1 (between $3 and $5), the average profit decreases by approximately $30.
Part C
The domain is the set of input values (x-values). As the price of a pen cannot be less than zero, the domain will be x ≥ 0
Unless the company is happy to make a loss, the restricted domain should be 0 ≤ x ≤ 6
The radius of a circle is 61 centimeters.
Enter the circumference of the circle, in centimeters. Round your answer to the nearest hundredth.
Answers
Answer:
Circumference of the circle=383.32cm
Step-by-step explanation:
r= 61cm π = 3.142
Formula for the circumference of a circle=2πr
Therefore;
Circumference=2×3.142×61 = 383.32cm.
Khairi has only 20¢ and 50¢ coins in his coin bank. There are twice as
many 20¢ coins as 50¢ coins. How many 20¢ coins are there in the coin
bank if all the coins add up to $17.10?
Answers
Answer:
There is 43 20¢ in the coin bank.
Evaluate the expression for x = 6 and y = 4.
xy-3y =
Answer:
Answers
Answer:
12
Step-by-step explanation:
Since given that:
x = 6 and y = 4
we can substitute:
xy - 3y
(6)(4)-3(4) {6*4 = 24}
24 - 3(4) {3*4=12}
24 - 12 = 12
Hence, the answer = 12
~lenvy~
Answer: 12
Step-by-step explanation:
Given:
xy - 3y
Plug-in the values we know:
(6)(4) - 3(4)
Multiply 6 by 4 and 3 by 4:
24 - 12
Subtract:
12
xy - 3y = 12
Which part of the algebraic expression 7a - 4 is the constant?
7a4
4
7 a
O7
Answers
Bernie bought five 30 L buckets of lawn fertilizer. How much fertilizer did he have in all?
Answers
Answer:
5 × 30 L = 150 L
______________
what shape is this will give brainliest and all that
Answers
Answer:
that is a Trapezoid
Step-by-step explanation:
it has two lines that are parallel and two lines that are not. crd. MathGeek99
Answer:
I believe it is a Quadrilateral
Step-by-step explanation:
It's a quadrilateral because of how many sides it has and other stuff
08.02 mc the function
Answers
Step-by-step explanation:
Question 2(Multiple Choice Worth 1 points)
(08.02 MC)
The function f(t) = 4t2 − 8t + 7 shows the height from the ground f(t), in meters, of a roller coaster car at different times t. Write f(t) in the vertex form a(x − h)2 + k, where a, h, and k are integers, and interpret the vertex of f(t).
f(t) = 4(t − 1)2 + 3; the minimum height of the roller coaster is 3 meters from the ground
f(t) = 4(t − 1)2 + 3; the minimum height of the roller coaster is 1 meter from the ground
f(t) = 4(t − 1)2 + 2; the minimum height of the roller coaster is 2 meters from the ground
f(t) = 4(t − 1)2 + 2; the minimum height of the roller coaster is 1 meter from the ground
whatever but please mark ma as BRAINLIEST answer please its a requestsPlease help
The Pythagorean theorem states that a² + b² = c² for a right triangle with leg lengths, a and b, and hypotenuse length, c.
The hypotenuse of a right triangle is 5 units long and has the points (3, 0) and (0, 4) as end points. One of the legs has length 3.
Use the Point and Segment tools to draw a right triangle at demonstrates the other leg length is 4.
Answers
Answer:
Step-by-step explanation:
Draw the third point at (0, 0). This would make the distance from (3,0) to (0,0) equal to 3, and the distance from (0,4) to (0,0) be 4.
The digits 5, 7, 1, and 9 are to be used in a roll number in a school. How
many different roll numbers are possible if repetitions are not permitted?
Answers
Answer:
1, 7, 5, 9
7, 1, 9, 5
9, 5, 1, 7
But there are about 10 possible combinations.
Step-by-step explanation:
9. A quilt pattern will use the block shown in the graph with regular hexagon
ABCDEF that has points A(4,0) and D(-4, 0). What is the area of the hexagon
to the nearest tenth? Show all work. [5 points]
Answers
From the given coordinates of point A(4, 0), and D (-4, 0), the area of the hexagon is 33.94 units square.
How can the area of the hexagon be found?The given parameters are;
Shape of the quilt pattern = A regular hexagon
Coordinates of point A = A(4, 0)
Coordinates of point D = D(-4, 0)
Required;
The area of the hexagon
Solution;
The coordinates of the center of the hexagon, P = (0, 0)
A regular hexagon consist of six equilateral triangles.
The length of a side of the triangle = PA
Length of PA = 4 - 0 = 4
Therefore;
Length of a side of the triangle = 4
Height of the triangle = PA × sin(60)
Which gives;
Height of the triangle = 4 × (√3)/2 = 2•√3
Area of one triangle = (4 ÷ 2) × 2•√3 = 4•√2
Area of the 6 triangles is therefore;
A = 6 × 4•√2 = 24•√2
Area of the 6 triangles = Area of the hexagon
Therefore;
Area of the hexagon = 24•√2 = 33.94 square units.Learn more about the area of regular shapes here;
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Which function has a maximum with the same maximum value as
f(x) = – |x + 3| – 2? f(x) = (x + 3)2 – 2 f(x) = –(x – 6)2 – 3
Answers
Answer:
The answer is c on edge or f(x) = 1 sqt x + 6 -2
Step-by-step explanation:
From the given two options, none of them has a function that has the same maximum value as f(x) = -|x+3|-2.
What is a function?A function is a correspondence between input numbers (x-values) and output numbers (y-values). It is used to describe an equation.
Given that:
f(x) = -|x + 3| - 2Suppose that x = c is a critical point of (x) then,
If f'(x) > 0 to the left of x = c and f'(x) < 0 to the right of x = c;
then x = c is a local maximum.If f'(x) < 0 to the left of x = c and f'(x) > 0 to the right of x = c;
then x = c is a local minimum.If f'(x) is the same sign on both sides of x = c;
then x = c and is neither a local maximum nor a local minimum.From the given equation, the critical points: x = -3
The intervals is: Increasing at -∞ < x < -3 and decreasing at -3<x<∞If we put the point x = -3 into - |x+3|-2
Then, y = -2 and it is Maximum at (-3, -2) Only f(x) = (x+3)^2 - 2 has a minimum at (-3,-2)We can therefore conclude that none of them has a function that has the same maximum value as f(x) = -|x+3|-2.
Learn more about the maximum and minimum of a function here:
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what is the sum of the factors for the number 18
Answers
Answer: 39
Step-by-step explanation:
The factors of 18 are: 1, 2, 3, 6, 9, 18
Add them together, and you get your answer.
w = 4, x = 5, and y = 6
/ = fraction
8x - (6 + y)
w 3/4 = x²
y² - 0.5w
w/4 + 3(x+y)
Answers
Answer:
28, 28, 34, 34
Step-by-step explanation:
8x - (6 + y)
8(5) - (6 + 6)
40-12
28
w ¾ + x²
4(¾) + 5²
3 + 25
28
y² - 0.5w
6² - 0.5(4)
36 - 2
34
w / 4 + 3(x + y)
4 / 4 + 3(5 + 6)
1 + 3(11)
34
Please answer the following questions
An absolute value inequality can be solved using a union or an intersection depending on which sign it is true or false
Answers
Answer:
True????????????????????
The statement that "An absolute value inequality can be solved using a union or an intersection depending on which sign it is" is true.
What is Absolute Value Inequality?Absolute value inequalities are kind of inequality expressions which includes the absolute value symbol in the expression.
For example : |x - 5| < 4 is an absolute value inequality.
Given statement is that,
An absolute value inequality can be solved using a union or an intersection depending on which sign it is.
If an absolute value inequality has a sign as "> 0", then the solution contains every real numbers but not values which makes the inequality 0.
in this case, union is used.
Now, if the inequality is "<" or "≤" with a positive number, the we use the intersection.
Hence the given statement is true.
Learn more about Absolute value Inequalities here :3
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Zack went on 6 hikes. The hikes were:
7 miles - 6 miles - 5 miles - 4 miles - 4 miles - 6 miles
What was the range of the lengths of Zack's hikes?
Answers
Answer:
3 miles
Step-by-step explanation:
Range is the biggest number minus the smallest number.
First put the distance in order from least to greatest.
4 miles, 4 miles, 5 miles, 6 miles, 6 miles, 7 miles.
Now subtract the greatest and least amounts.
7 - 4 = 3
Carly needs $149 to buy a skateboard. She already has $52. She earns money washing cars for $20 a car.
Carly says that if she washes 5 cars she will have enough money to buy the skateboard.
Is Carly correct? Use the drop-down menus to explain.
Choose...
; If Carly washes 5 cars, she will have a total of
Choose...
. This is
Choose...
then the cost of the skateboard, so she
Choose...
have enough money.
Answers
Answer:
$149 - price of the skateboard
$52 - Carly's money
$20 × 5 cars = $100
$100 + $52 = $152
$152 - $ 149 = $3
money left is $3
Help help help hemp grko
Answers
Answer:
12
Step-by-step explanation:
x-4=2(x+8)/5
let's do my favorite strategy: distributive property!
x-4=(2x+16)/5
Now we can simplify.
x-4=(2/5)x+16/5
Let's solve for x!
Subtract 2/5 from both sides
3/5)x=36/5
Now multiply both sides by 5/3, the reciprocal.
You would get 12 as x!
10 cm equal to cm can you help me.
Answers
Answer:
1000cm
Step-by-step explanation:
there are 100cm in a meter. so we multiply 10 by 100 to get the amount of centimeters in 10 meters which is 1000cm
Answer: There Are 1000 Centimeters(Cm) In 10 Meters(M)
which of the points shown below given by the equation y=x
Answers
Answer:
I believe its D
Step-by-step explanation: X and Y are both -3
Jackson bought cupcakes for his sister's birthday party. 72 out of the 96 cupcakes had sprinkles on top. What percentage of the cupcakes had sprinkles?
Write your answer using a percent sign (%).
Answers
PLEASE HELP AND EXPLAIN (WILL MARK BRAINLYIST)
Figure JKLMN is a scaled version of PQRST. The two figures are shown below.
The scale factor of figure JKLMN to figure PQRST is 3:2. If KL = 27 cm and MN = 45 cm, what is the length of side ST?
A.
30 cm
B.
40.5 cm
C.
67.5 cm
D.
18 cm
Answers
Answer: the answer is 40.5 cm
Step-by-step explanation:
first your gonna want to look at the numbers given and then solve.
a bag contains coins of rupees 2 Rupees 1 and 50 paise, in ratio of 1 is to 2 is to 4. if the total amount is rupees 72 find how many 50 paise coins are there?
Answers
Answer:
Final answer -
[tex]number \: of \: 50 \: paise \: coins \: in \: the \: bag = 4x \\ \dashrightarrow{4 \times 12 = 48 \: coins}[/tex]
hope helpful :D
The number of 50 paise coins that we have in the bag with the respective other coins is; 48 coins
How to solve currency conversions?Since the respective coins are in ratio of 1:2:4. Then, we can deduce the following;
Let number of 2 rupees coins in the bag = 1x
Let number of 1 rupees coins in the bag = 2x
Let number of 50 paise coins in the bag = 4x
Total amount of money = 72 rupees. Thus;
(2 * 1x) + (1 * 2x) + (0.5 * 4x) = 72
2x + 2x + 2x = 72
6x = 72
x = 72/6
x = 12
Thus, number of 50 paise coins = 4x = 4 * 12 = 48 coins
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Daito and Shoto are earning money to grow their College Savings Accounts. Daito has $780 in the College Savings Account and adds $47 each month. Shoto has $220 in the College Savings Account and adds $82 each month. How long until they have the same amount of money? What is the total amount of money they will both have in their COLLEGE SAVINGS ACCOUNTS?
Answers
Answer:
16months
=$1532
Step-by-step explanation:
Daito
780+47x=220+82x
780-220=82x-47x
560=35x
x=16
=16 months
Find the unit price. 14 ounces of canned corn for $1.96
Answers
The unit price of canned corn is $0.14
14 ounces = $1.96
1 ounce = 1.96 / 14
= 0.14