Answer:
(-2,2)
(-1,-1)
(1,-1)
(3,7)
If you graph it with a graphing calc. and pinpoint the X's(domains) then you can see the Y's(ranges)
If the domain of the function is (-2, -1, 1, 3). Then the range of the function will be (1, -1, -1, 7).
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The function is given below.
g(x) = x² - 2
The value of the function at x = -2 is given as,
g(-2) = (-2)² - 2
g(-2) = 4 - 2
g(-2) = 2
The value of the function at x = -1 is given as,
g(-1) = (-1)² - 2
g(-1) = 1 - 2
g(-1) = - 1
The value of the function at x = 1 is given as,
g(1) = (1)² - 2
g(1) = 1 - 2
g(1) = - 1
The value of the function at x = 3 is given as,
g(3) = (3)² - 2
g(3) = 9 - 2
g(3) = 7
If the domain of the function is (-2, -1, 1, 3). Then the range of the function will be (1, -1, -1, 7).
More about the function link is given below.
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A rock is dropped from the top of a 2000-foot building. After second, the rock is traveling feet per second. After seconds, the rock is traveling feet per second. Let y be the rate of descent and x be the number of seconds since the rock was dropped. Part A: Write a linear equation that relates time x to rate y. (Hint: Use the ordered pairs (1,32) and (2,64) ) Part B: Use this equation to determine the rate of travel of the rock 17 seconds after it was dropped.
Answer:
[tex]y = 32x[/tex]
The rate is 224 ft/s
Step-by-step explanation:
Solving (a):
Given
[tex](x_1,y_1) = (1,32)[/tex]
[tex](x_2,y_2) = (2,64)[/tex]
Required
Determine the linear equation
First, we need to determine the slope using
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{64 - 32}{2 - 1}[/tex]
[tex]m = \frac{32}{1}[/tex]
[tex]m = 32[/tex]
The equation is then calculated using:
[tex]y - y_1= m(x - x_1)[/tex]
[tex]y - 32= 32(x - 1)[/tex]
[tex]y - 32= 32x - 32[/tex]
Add 32 to both sides
[tex]y - 32 + 32= 32x - 32 + 32[/tex]
[tex]y = 32x[/tex]
Solving (b):
Given
[tex]x = 7[/tex]
Required
Determine y
We have that:
[tex]y = 32x[/tex]
Substitute 7 for x
[tex]y=32 * 7[/tex]
[tex]y=224[/tex]
Hence, the rate is 224 ft/s
What is the answer I need help ASAP
Answer:
C) 4
Step-by-step explanation:
Teacher takes about 25 minutes to make out a test for a mathematics class. How long will it take to make out tests for all five classes?
Answer:
2h 5min
Step-by-step explanation:
1 class: 25 min
5 classes: 25 x 5 = 125 min = 2h 5min
There are 13 sixth grade classrooms at LMMS. Each class has about 28 students.
About how many students are there in the whole sixth grade?
Answer:
364 students
Step-by-step explanation:
multiply 13 by 28
Yuto left his house at 10 a.M. To go for a bike ride. By the time Yuto's sister Riko left their house, Yuto was already 5.25 miles along the path they both took. If Yuto's average speed was 0.25 per minute and Riko's average speed was 0.35 per minute, over what time period in minutes,t, starting from when Riko left the house, will Riko be Behind her brother?
Answer:
The time period will be ;
10 am to 10 : 52 am
(Then she will catch up at exactly 10:52 am , 30 seconds)
Step-by-step explanation:
In this question, what we simply want to calculate is the amount of time it will take Riko to cover same distance as Yuto.
Mathematically, at any point in time;
Speed = distance/time
Let the time we are looking for be x minutes
At x minutes , Riko will be at a distance of 0.35 * x = 0.35x miles
At x minutes, Yuto will be at a distance of 5.25 miles + 0.25 * x = (5.25 + 0.25x) mikes
Kindly note that, at the time x minutes, the distance covered would have been equal;
Thus;
0.35x = 5.25 + 0.25x
0.35x -0.25x = 5.25
0.1x = 5.25
x = 5.25/0.1
x = 52.5 minutes
Over a time period of 52.5 minutes, Riko will be behind her brother ;
Since Yuto left at 10 am, the time period will be ;
10am to 10:52 am
Answer:
Sample Response: The solution means that Riko will be behind Yuto from the time she leaves the house, which corresponds to t = 0, until the time she catches up to Yuko after 52.5 minutes, which corresponds to t = 52.5. The reason that t cannot be less than zero is because it represents time, and time cannot be negative.
Step-by-step explanation: Striaght from Egde2020
Step 1: m∠m + m∠n + m∠o = 180 degrees (sum of angles of a triangle)
Step 2: m∠p − m∠o = 90 degrees (alternate interior angles)
Step 3: Therefore, m∠m + m∠n + m∠o = m∠o + m∠p
Step 4: So, m∠m + m∠n = m∠p
In which step did the student first make a mistake and how can it be corrected?
Step 1; it should be m∠m + m∠n + m∠o = 90 degrees (corresponding angles)
Step 1; it should be m∠m + m∠n + m∠o = 90 degrees (adjacent angles)
Step 2; it should be m∠o + m∠p = 180 degrees (alternate exterior angles)
Step 2; it should be m∠o + m∠p = 180 degrees (supplementary angles)
Answer:
they messed up on step one
Step-by-step explanation:
Answer:
Step 2; it should be m∠o + m∠p = 180 degrees (supplementary angles)
Step-by-step explanation:
Took the exam and got it right. Hope this helps! <3
The ratio of a rectangle's length to its width
is 2 : 1. If the length is 14 cm, what is its
width?
Answer:
2/1 = 14/x
cross mulitply
2x=14
2x/2=14/2
x=7
The width is 7 cm
Step-by-step explanation:
The table represents a linear function.
What is the slope of the function?
-3
-2
3
х
-2
-1
0
1
2
у
-2
1
4
7
10
The slope of the table is 2
How to determine the slope?From the table, we have the following points:
(x,y) = (0, 4) and (1,7)
The slope is then calculated as:
m = (y2 - y1)/(x2 - x1)
Substitute known values
m = (7 - 4)/(1 - 0)
Evaluate the differences
m = 3/1
Divide
m = 2
Hence, the slope of the table is 2
Read more about slopes at:
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what is the solution to the system of equations graphed below?
y=x+3
y=3x+1
Answer:
(1, 4)
Step-by-step explanation:
y=x+3
y=3x+1
y=x+3
x+3=3x+1
x=3x-2
-2x=-2
x=1
y=1+3
y=4
someone helppp lol.
Answer:
dam thats wat yall learn in whatever grade u r ik highter for sure but dam im scared now
Step-by-step explanation:
The volume of a cubical box is 64cm³ . What is its side?
Answer:
4 cm
Step-by-step explanation:
x = the side of a cubical box
x^3 = 64
But 4^3 also = 64
=> x = 4
Answer:
Volume of a cube = a³
64 = a³
3 root 64 = a
4 cm = a
please help can you anser all the quistion please
Answer:
ummm its 2x24 because you still gotta add 3
Step-by-step explanation:
Answer:
Dang, It's called m a t h of the w a y
Step-by-step explanation:
It won't let me say the whole thing but yea use it it helps out alot. so yea Hope this helps :)
Add the polynomials
(-12x^5-7x^3+12x^2+11)+(4x^3+6x^2-6x+3)
Answer:
-12x^5-3x^3+18x^2+14
DATE_
PAGE
if
I the selling
selling prices is Rs 7777 and
His loss is Rs 888 . Find the cost price of radio-
price of a radio
Answer:
The cost price of a radio is Rs 8665
Step-by-step explanation:
There is a relation between the cost price, loss amount, and the selling price.
In the loss, the cost price must be greater than the selling price.
The cost price = selling price + Loss amountIn our question:
The selling price is Rs 7777
The loss is Rs 888
We need to find the cost price
Let us use the rule above
∵ The selling price = Rs 7777
∵ The loss = Rs 888
→ Substitute them in the rule above to find the cost price
∴ The cost price = 7777 + 888
∴ The cost price = 8665
∴ The cost price of a radio is Rs 8665
Calculate the slope of the line that passes through (2,0) and (1,5).
Answer:
m= -5
Step-by-step explanation:
Find the distance between the point x = (-1,9) and y = (-2,8)
Answer:
1.4
Step-by-step explanation:
use distance formula
Help me solve these problems please
3 hours to clean 5 houses how many houses could be cleaned in 9 hours
Answer:
15 houses is the answer
Answer:
Let x be the no.of houses cleaned in 9 hours
3 hours 5 houses
9 hours x houses
Using cross multiplication, you get the formula:
3x = 45
x = 15
Therefore, 15 houses are cleaned in 9 hours.
What is the value of x!
A plumber charges a $45 fee to make a house call and then $25 for each hour of labor. The plumber uses an equation in the form y = m x + b to determine the amount to charge each customer.
Answer:
Your final equation should be y = 25 x + 45
Step-by-step explanation:
The equation y = m x + b represents any linear equation. the m stands for slope, and the b stands for the y- intercept (when x = 0). To fill in the blanks you need to figure out which piece of information is which.
Let's start with the y intercept. y, in this equation stands for the cost. And since the y intercept is when x equals zero, you need the cost that doesn't relate to the time the plumber was at the house. That would be the 45 dollar fee you pay the plumber to go to your house.
Next, let's explain why the 25 dollars represents m (The slope) of this equation. You have to pay the plumber 25 dollars for every hour he spends at your house, so this cost goes up by 25 dollars every hour.
Your final equation should be y = 25 x + 45
you're welcome ;)
Please help! I just need 1 more way !! i will mark brainliest
Answer:
f4
Step-by-step explanation:
POINTS!! I NEED HELP WITH THIS, WILL GIVE BRAINLIEST TO BEST ANSWER
(6)
Answer:
Hypothesis: it is hot
Conclusion: It is July.
Please help!! Thank you ;)
Answer:
-1/3
Step-by-step explanation:
slope is rise over run so on this one you had to count down to -2 for the rise and count to 6 then simplify to make -1/3
The slope of the line will be equal to 1 / 3. The correct option is D.
Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line. The slope of the line is the ratio of the rise to the run.
The formula to calculate the slope of the line is,
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
The given coordinates of the point passing through the line are (-3,4) and (3,2).
The slope of the line will be calculated as,
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Slope = ( 4- 2 ) / ( 3 + 3 )
Slope = 2 / 6
Slope = 1 / 3
Therefore, the slope of the line will be equal to 1 / 3. The correct option is D.
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urgent !! please help !! can someone help me with this problem and show work
Answer:
x = 7 x= -2
Step-by-step explanation:
x^2 -5x -14 =0
What 2 numbers multiply to -14 and add to -5
-7*2 = -15
-7 +2 = -5
(x-7) (x+2) =0
Using the zero product property
x-7 =0 x+2 = 0
x = 7 x= -2
Answer:
Using the snowflake method, factors that multiply to give -14 and add to give -5 are: 2 and -7.
the factors are: (x+2)(x-7)
Helphelphelp will mark brainliest
Find the area of each circle.
Circumference = 407 in
Radius =
Area =
Help pls ASAP
Answer:
Answer:
- The area of the two bases is 32π in².
- The lateral area is 40π in².
- The total surface area is 72π in².
Step-by-step explanation:
there you go have a good day
For the month of April, a checking account has a balance of $523 for 23 days, $2340 for 4 days, and $238 for 3 days. What is the account's mean daily balance for
April?
The account's mean daily balance for April is approximately $
(Round to two decimal places as needed.)
Answer:
Approximately $103.37 per day
Step-by-step explanation:
As April has 30 days, we have to add together $523, $2340, and $238 to get the total balance for the entire month. In this case, the total balance is $3101. Now, referring back to April having 30 days, $3101÷30 days=$103.366666666 a day, when rounded to two decimal places, it equals $103.37 a day. So, the account's mean daily balance for April is approximately $103.37 a day.
Hopefully the explanation and the answer helps!
The mean daily balance will be 736.77
What is weighted mean?Weighted mean is the mean where some of the value contributing more than the other values.
Weighted mean can be calculated by dividing the sum of frequencies and value by the sum of the frequencies.
weighted mean= ∑fₙxₙ/∑fₙ
where f is the frequency and x is the value.
So according to asked question,
in April, balance is in such a way that $523 for 23 days, $2340 for only 4 days, and $238 for only 3 days.
x₁=$523 , f₁=23
x₂=$2340 , f₂=4
x₃=$238 , f₃=3
weighted mean= sum of the product frequency and value/sum of frequency
= ∑fₙxₙ/∑fₙ
= ((523*23)+(2340*4)+(238*3))/(23+4+3)
=22103/30
=736.7666≅736.77
Therefore the mean daily balance will be $736.77.
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What is this answer?
Answer:
negitive 8
Step-by-step explanation:
you would have to use a negitive because 12 os higher than 5 and it has to be over 7 or negitive 7
WILL GIVE BRAINLIEST FAST!! Will Give Brainliest if you show all the steps. 8x - 6 / 2 = x + 12
Solve for X
Answer: 15/7 2 1/7
Step-by-step explanation: First divide 8x-3=x+12 Then add 3 to both sides.
8x=x+15 Subtract x from both sides. 7x=15 Then divide again so 7/7 and 15/7. If you simplify it become 2 1/7
Answer:
x = 15/7
Step-by-step explanation:
Reduce the fraction with 2
8x - 3 = x + 12
Move variable to the left-hand side and change its sign
8x - x - 3 = 12
Move constant to the right-hand side and change its sign
8x - x = 12 + 3
collect like terms
7x = 12 + 3
Add the numbers
7x = 15
Divide both sides of the equation by 7
Solution: x = 15/7
Alternate form
x = 2 1/7, x = 2.142857
What are the solutions for x when y is equal to 0 in the quadratic function
y = x2 +9x?
Answer:
C) x = 0 or x = - 9
Step-by-step explanation:
[tex]y = {x}^{2} + 9x \\ \\ plug \: y = 0 \\ 0 = {x}^{2} + 9x \\ \\ x(x + 9) = 0 \\ \\ x = 0 \: \: or \: \: x + 9 = 0 \\ \\ x = 0 \: \: or \: \: x = - 9 [/tex]
See picture for math work and answer.