How does the graph of g(x)=⌈x⌉+7 differ from the graph of f(x)=⌈x⌉?
-The graph of g(x)=⌈x⌉+7 is the graph of f(x)=⌈x⌉ shifted down 7 units.
-The graph of g(x)=⌈x⌉+7 is the graph of f(x)=⌈x⌉ shifted left 7 units.
-The graph of g(x)=⌈x⌉+7 is the graph of f(x)=⌈x⌉ shifted up 7 units.
-The graph of g(x)=⌈x⌉+7 is the graph of f(x)=⌈x⌉ shifted right 7 units.
Answers
The graph of g(x)=⌈x⌉+7 differ from the graph of f(x)=⌈x⌉ as the graph of g(x)=⌈x⌉+7 is the graph of f(x)=⌈x⌉ shifted up 7 units.
Modulus function / Absolute function [x]What is modulus function?A modulus function is a function that determines a number or variable's absolute value. No matter what input was provided to this function, the outcome is always positive.
Solution of function f(x) = [x]Consider different values for x.
Say,
x = -1; f(-1) = [-1] = 1
x = 1; f(1) = [1] = 1
For any value of the x, the value of the function will be positive only.
The graph is attached in the image.
Solution of function f(x) = [x] + 7Consider different values for x.
Say,
x = 0; f(0) = [0] + 7 = 0 + 7; f(0) = 7
x = -1; f(-1) = [-1] + 7 = 1 + 7; f(-1) = 8
x = 1; f(1) = [1] = 1 + 7; f(1) = 8
For any value of the x, the value of the function will be positive only, but it would be 7 units shifted up on the y axis.
The graph is attached in the image.
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Related Questions
A line goes through the points (8,9) and (-2,4).
A) what is the slope of he line? Show your work
B) write the equation of the line in point- slope form. Show your work.
C) write the equation of the line in slope-intercept form. Show your work.
A,B,C are all parts of the question that have to be answered.
Answers
Slope of line is given by vertical distance ÷ horizontal distance
Let (8, 9) be (x₁, y₂) and (-2, 4) be (x₂, y₂)
The vertical distance is y₂ - y₁ = 4 - 9 = -5
The horizontal distance is x₂ - x₁ = -2 - 8 = -10
slope of the line = -5 ÷ -10 = 0.5
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Part B
The point-slope form is given by
(y - y₁) = m (x - x₁)
We have the gradient, m = 0.5
(x₁, y₁) = (8, 9) ⇒ You can also use the other coordinate (-2, 4)
Substitute these value into the form, we have
(y - 9) = 0.5 (x - 8)
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Part C
The slope-intercept form is given by the equation
y = mx + c
Where m is the slope gradient and c is the point where the line intercepts the y-axis. We don't have the value of c at the moment but we can find out by simplifying the equation in part B
y - 9 = 0.5 (x - 8) ⇒ Multiplying out the bracket
y - 9 = 0.5x - 4
y = 0.5x - 4 + 9
y = 0.5x + 5 ⇒ This the slope-intercept form
a tin can collecting money on a store counter for the holiday season contains 15.80 dollars in quarters and dimes. if there are a total of 74 coins how many of each coins are in the tin
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Final answer:
To find out how many quarters and dimes are in the tin, we set up a system of equations based on the total value and total number of coins. Solving these equations reveals that the tin contains 56 quarters and 18 dimes.
Explanation:
The student is asking for help with a system of equations problem that involves quarters and dimes that add up to $15.80, with a total of 74 coins in the tin. To solve this, we set up two equations: one for the total amount of money (1) and the other for the total number of coins (2).
Let's let Q be the number of quarters and D be the number of dimes. Therefore:
0.25Q + 0.10D = $15.80 (because quarters are $0.25 each and dimes are $0.10 each)Q + D = 74 (total number of coins)From equation (2), we can express D in terms of Q as D = 74 - Q. Substituting this into equation (1) gives us:
0.25Q + 0.10(74 - Q) = $15.80
This simplifies to:
0.25Q + 7.4 - 0.10Q = $15.80
0.15Q = $15.80 - 7.4
0.15Q = $8.40
Dividing both sides by 0.15 gives:
Q = $8.40 / 0.15
Q = 56 quarters
Substitute Q (56) back into equation (2) to find D:
D = 74 - 56
D = 18 dimes
Therefore, there are 56 quarters and 18 dimes in the tin.
can someone help me I need help with this question
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Can you please help me answer my question? I already asked it but it hasn't been answered. It is fro social studies: What were some accomplishments of Montezuma?
I need help on this. Can someone please explain it to me? I’ve been struggling on it ! Thanks much appreciated
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Hey there! :) How are you? Explanation: So basically the cook has 3 1/2 cups of flour which is 7/2 as a improper fraction. The recipe calls for 3 2/3 cups of flour which is 11/3. So next we need to find a common denominator. 2 and 3 both have 6 in common, so7/2=21/6 and 11/3=22/6. The final step is 22/6-21/6= 1/6.
Answer: The cook DOES NOT have enough flour. He needs 1/6 cup of flour.
I hoped I helped you. Keep smiling! :D
A Cab charges $1.75 for the flat fee and $0.25 for each mile. Write and solve an inequality to determine how many miles Eddies can travel if he has $15 to spend
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where x is equal the number of miles.
The key to solving an inequality is just temporarily making the ≤ symbol a =. Then solve for x like any other algebraic equation. Once you find the value of x, you will have solved the inequality. Make sure to add back the ≤ when you are done.
15 - 1.75 = 13.25
13.25/0.25 = x
x = 53
add back the ≤
x ≤ 53
This means Eddies can travel up to 53 miles with his $15.
Ron used 9 centimeters of tape to wrap 3 presents. How much tape will Ron need in all if he has to wrap 5 presents?
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3cm = 1 present
3cm x 5 presents = 15cm
15 cm is your answer.
Hope that helped! :)
help...? heres the question:
kayla says that dividing by 5/6 is the same as dividing by 5, then multiplying by 6. is she correct? why?
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what fraction part remains uncovered if 3 rectangles are covered
use the image below to help you visualize the problem.
I shaded in 3 rectangles and there are 25 rectangles in all. pls help thanks
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Monster Mike's truck decelerates from 72 m/s to 0 m/s in 6 seconds. What is his rate of deceleration?
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Answer:
this may be wrond but I think it is -12 m/s
Step-by-step explanation:
[tex]72/6=12[/tex]
The requried rate of deceleration of Monster Mike's truck is -12 m/s².
What is speed?Speed is defined as when an object is in motion, the distance covered by that object per unit of time is called speed.
Here,
The rate of deceleration of Monster Mike's truck can be calculated using the following formula,
Acceleration = (Final Velocity - Initial Velocity) / Time
Final Velocity = 0 m/s (since the truck comes to a stop)
Initial Velocity = 72 m/s
Time = 6 seconds
Substituting the given values into the formula,
Acceleration = (0 m/s - 72 m/s) / 6 s
Acceleration = -12 m/s²
Therefore, the rate of deceleration of Monster Mike's truck is -12 m/s². The negative sign indicates that the acceleration is in the opposite direction to the initial velocity of the truck.
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"Three times a number increased by eleven is seventeen" translates to which of the following equations?
11x + 3 = 17
11x - 3 = 17
3x + 11 = 17
3x - 11 = 17
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It would be 3x + 11 = 17 where x is the missing value.
If you were to solve it x = 2.
Hope This Helps You!
Good Luck :)
- Hannah ❤
let x be the number,
3 times the number would be: 3x
increased by 11 would be: + 11
so its 3x+11=17!
Hope this helps!
Lexi jarred 12 liters of jam after 4 days. How many days did Lexi spend making jam if she jarred 15 liters of jam?
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in recent years 17.7% of households watched the finals of a popular reality series. There are 110.2 million households in the United States. How many households watched the finals?
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-------- = -----------------
100% 110,200,000
If 110.2 million households equals 100%, then you just cross multiply to solve for what households are 17.7% - which is 19,505,400.
how do you solve
x+3/5-3x/10=7
Answers
x+3/5-3x/10=7
Multiply both sides of the equation by 10
10x +6 - 3x = 70
Collect the terms
7x + 6 = 70
Move constant to the right side and
change its sign
7x = 70 -6
Subtract the numbers
7x = 64
Divide both sides by seven
x = 64/7
Noya needs to determine the number of books that will fit into a box. If the box has a length of 18 inches and each book is 2/9 of an inch thick, which expression can be used to determine the number of books that will fit into the box?
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- The total length of the box is 18 inches
- And we can fill the box with x Amounts of 2/9 inch books as long as the total length DO NOT SURPASS 18 inches
So, the expression would be
[tex]2/9 x \leq 18[/tex]
In which x is the total number of books
What is the value of p?
0.6441−(−0.29)=p
a) 0.3541
b) 0.4541
c) 0.8341
d) 0.9341
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Help I don’t understand number 18 I wrote the equation but I need help solving it the equation is 13 n - 1.50= 35.50
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It appears you've written the equation wrong.
It should be: 13 + 1.5n ≤ 35.5
(13 - 13) + 1.5n ≤ (35.5 - 13)
1.5n ≤ 22.5
1.5n / 1.5 ≤ 22.5 / 1.5
n ≤ 15 rides
The most amount of rides you can take is 15.
Hope this helps.
What is 6,372,079,003 in expanded form
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a number q multiplied by 1/4 is greater than -16
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q · 1/4 > -16
To get rid of the fraction, multiply both sides by 4 to get the answer:
q > -64
Final answer:
The student is dealing with an inequality where a number q is multiplied by [tex]\frac{1}{4}[/tex] and needs to be greater than -16. Upon solving, the result is that q must be greater than -64.
Explanation:
The student is asking about an inequality in mathematics where a number q multiplied by [tex]\frac{1}{4}[/tex] must be greater than -16. To solve this, we set up the inequality as follows:
[tex]\frac{1}{4}[/tex] × q > -16
When solving for q, you would multiply both sides of the inequality by 4 to isolate q:
q > -16 × 4
q > -64
Therefore, the value of q must be greater than -64 to satisfy the inequality.
1/2 + 9/10 + 4/5
A. 2 1/5
B. 2 2/10
C. 14/17
D. 22/10
Answers
1/2=5/10, 9/10 stays the same, and 4/5=8/10.
Now you add them up.
5/10 + 9/10 + 8/10 = 22/10
22/10 = 2 2/10
2 2/10 = 2 1/5
Answer: A. 2 1/5
Karina earned $60 from her part time job. she spent 3/10 of it on food and 1/4 of it on music. how much money does she have left. pls show all work and answer
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1-0.55= 0.45
0.45(60)= 27
Karina has $27 left.
How does identifying the part in the whole help you write the percent proportion
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A coffee pot contains 1 1/2 quarts of coffee after Tony pours an equal amount of coffee to cups 3 1/2 cups of coffee Remain the pot how much coffee did Tony pour into each cup
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x = 1 1/4 cups
x = 1.25 cup
Tonya poured 1 1/4 cups into each cup.
Tony poured a total of 2 1/2 cups of coffee into an unspecified number of cups.
To solve this problem, we first need to understand the different units of measurement being used and convert them appropriately. In the United States, 1 quart is equal to 4 cups. So, we will start by converting the coffee in the pot to cups.
The coffee pot originally contained 1 1/2 quarts of coffee. To find out how much this is in cups, we multiply by 4 (since there are 4 cups in 1 quart):
1 1/2 quarts = 1.5 quarts
1.5 quarts * 4 cups/quart = 6 cups
Thus, the coffee pot had 6 cups of coffee before Tony poured it into cups.
After pouring, 3 1/2 cups of coffee remain in the pot. To find out how much coffee was poured into the cups, we subtract the remaining coffee from the initial amount:
6 cups - 3 1/2 cups = 2 1/2 cups
This means that Tony poured a total of 2 1/2 cups of coffee into the cups. If we assume that he poured an equal amount into each cup, we would divide the total amount poured by the number of cups to find the amount per cup. However, since we don't know how many cups he filled, we can only conclude that Tony poured a total of 2 1/2 cups of coffee into an unspecified number of cups.
the fastest train in the us can travel 2.6 miles per minute.At that speed how far does it go in half an hour?
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30•2.6 = 78
[tex]2.6 \times 30 =78.0[/tex]
What is the point-slope form of the line with slope -1/8 that passes through the point (-2, 1)?
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or, y-1= - x/8 - 1/4
or, y= -x/8+1-1/4
so, y = -x/8 + 3/4
Three ways to come up with 15,638 only using hundreds, tens and ones
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2.) 312 * 50 + 38 = 15638
3.) 78 * 200 + 38 = 15638
x(x2-x+3) monomial times polynomial
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x(x² - x + 3) = x³ - x² + 3x
Using the information in the table, how many centimeters are in 8 kilometers?
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PLEASE HELP I WILL GIVE 99 POINTS
Which correctly shows how to use the GCF and the distributive property to find an expression equivalent to 24 + 44?
4(6 + 11)
2(12 + 22)
6(4 + 11)
2(12 + 6)
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2(12+22)=2x12+2x22=24+44=72
what is 3/4, -7/10, -3/4, 8/10 least to greatest
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Hope this helps!
(8x+1)+(4x+11)=180°
solve for x
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Hope this helped Let me know if you have any questions or if you need anymore help. I am always here if you need someone