=================================================
Explanation:
The domain is the set of allowed x inputs. The range is the set of possible y outputs.
The set {-2,-1,0,1,2} represents all the possible x inputs
Let's plug each of those into the equation y = 3x-6 to find the corresponding paired out puts.
Note: y = f(x), so f(x) = 3x-6 is the same as y = 3x-6.
---------------
If x = -2, then,
y = 3x-6
y = 3(-2)-6
y = -6-6
y = -12
We see that x = -2 and y = -12 pair up together.
The value -2 in the domain maps to -12 in the range.
----------------
If x = -1, then,
y = 3x-6
y = 3(-1)-6
y = -3-6
y = -9
The input x = -1 in the domain maps to the output y = -9 in the range
So far the range consists of {-12, -9} in either order.
The answer is between A and D
-----------------
If x = 0, then,
y = 3x-6
y = 3(0)-6
y = 0-6
y = -6
So -6 is also part of the range. We have {-12, -9, -6} so far. The answer is still between A and D.
------------------
If x = 1, then,
y = 3x-6
y = 3(1)-6
y = 3-6
y = -3
The range updates to {-12, -9, -6, -3}
A and D are still equally valid
-------------------
We have one more x value to try
If x = 2, then,
y = 3x-6
y = 3(2)-6
y = 6-6
y = 0
Since y = 0 is in the range, instead of y = 1, this rules out choice A
The answer is therefore D. {-12, -9, -6, -3, 0}
if John owes 300 dollars and pays 50 a week what are the dependent and independent variables
Money is put into two accounts. Account A earns 3.5% interest annually, and account B eanrs 2.6% interest annually. Assuming $20,000 is split evenly among the accounts and interest is not compounded, how much interest would be earned in total after 6 years?
Answer:
$3360 combined. $1560 from acct b and $2100 from acct a
Pls Help. I'm stuck. And this is the Course Challenge
Answer:
A
Step-by-step explanation:
A rotation of 180 degrees will fit perfectly with shape pink
Hellpppppppppppppp ASAP
Answer:
C
Step-by-step explanation:
graphs A and B are called quadratic equations; example, x^2 - x - 6 and, when graphed form u-shaped curves that either cross the x-axis at one or two points, or possibly not at all.
graph D is a linear equation, x = -4
graph C is created by an equation where the x-value is raised to the third power; try graphing y = x^3 and see how it looks
A certain bacteria can divide every hour. Which of the following equations represents the number of cells, N, that is present after t hours?
A
N(t)=2t
B
N(t)=2/t
C
N(t)=2t
D
N(t)=t2
Answer:
N(t) = N0/2^t
Step-by-step explanation:
Given that:
Number of cells present after t hours = N
Let initial number of cells = N0
Using the exponential decay relation:
N(t) = N0(1/2)^t
N(t) = N0/2^t
Hence, the number of cells N present after t hours is N(t) = N0/2^t.
PLEAS PLEAS PLEAS HELP ME!!!!!!!!!!!!!!!
The Garcias are on their way to the beach. They are traveling at
a rate of 30 miles per hour. Use the ordered pairs to graph the
distance traveled over time.
Answer:
draw a line for the plotted points and put an arrow at the end, see my answer
Step-by-step explanation:
please click the heart button to give thanks for my work! :)
Which equation is equivalent to : 2(-3x-6) = -5
Answer:
-6x-12=-5
Step-by-step explanation:
Just distribute
Pls help me with number 4.)
Answer:
4 x [tex]\frac{3}{2}[/tex] = 6
Step-by-step explanation:
The division equation would be 4 divided by 2/3, but that is equal to 4 x 3/2 = 6.
Hope it helps! (I'm so sorry if it's wrong).
Answer:
2.66
Step-by-step explanation:
2/3 of 4 is the same as:
2/3 * 4 = (2/3) * (4/1)
By the rules for multiplying fractions, this is (2*4) / (3*1) = 8/3
8/3 is 2.66
nonpurchasers to total customer 37 and 13
83, 15, 50, 28, 52, 96 - What is the mean? What is the mode? What is the median?
Answer:
Mean: 54
Mode: There is none
Median: (50+52)/2 = 51
Step-by-step explanation:
Hope this helps!!! :D
Stephanie has three shirts for every two pairs of jeans that she owns. If she owns 14 pairs of jeans, then how many shirts does she own?
Answer:
21 shirts
Step-by-step explanation:
Ratio jeans to shirts: 2:3
Mutiply by the same
2 to get to 14 is 7
7 x 2 = 14
7 x 3 = 21
Answer: i think the answer is 21
Step-by-step explanation:
12 1 10 − 5 5 6 = Enter the fraction as a mixed number in simplest form. Use a space between the whole and fractional part.
Answer:
467
Step-by-step explanation:
A 6-ounce can of Frozen orange juice costs $1.02. Give the unit price in cents per ounce
The unit price in cents per ounce will be 17 cents / ounce.
The cost of the 6 ounce frozen orange juice is given as:
Cost = $ 1.02
We know that:
$ 1 = 100 cents.
So, by using multiplication, we get that:
$ 1.02 = 1.02 × 100 cents
$ 1.02 = 102 cents.
Now, Number of ounces = 6 ounces
Unit price in cents per ounce = 102 cents / 6 ounce
Unit price in cents per ounce = 51 cents / 3 ounce
Unit price in cents per ounce = 17 cents / ounce
Therefore, the unit price in cents per ounce will be 17 cents / ounce.
Learn more about unit price here:
https://brainly.com/question/25109150
#SPJ9
Will give brainliest help
Answer:
i cant download the photo
Step-by-step explanation:
Answer:
5/6
7/12
1 5/12
Step-by-step explanation:
I did the first 3 for u.. look up fraction calculater! then you will get the rest! hope this helps u!! :D
my question is down there
When the interest on an investment is compounded continuously, the investment grows at a rate that is proportional to the amount in the account, so that if the amount present is P, then dP dt = kP where P is in dollars, t is in years, and k is a constant. If $180,000 is invested (when t = 0) and the amount in the account after 17 years is $421,136, find the function that gives the value of the investment as a function of t. (Round your value of k to two decimal places.)
Answer:
the interest rate on this investment k = 0.05 or 5%
Step-by-step explanation:
Given that;
dp/dt = kp
dp/p = k dt
now we integrate on both sides
integral dp/p = integral k dt
ln p = kt + c
p =e^kt + c
p = ce^kt
Given that p = $180,000 is invested (when t = 0)
p = ce^kt
we substitute
180000 = ce^k×0
180000 = ce^0
180000 = c × 1
c = 180,000
we substitute the value in the equation
p = 180000e^kt
now given that the amount in the account after 17 years is $421,136
i.e at t = 17 and p = 421,136
we substitute
421,136 = 180000e^17k
divide both sides by 180000
421136/180000 = 180000e^17k / 180000
e^17k = 2.3396
17k = In(2.3396)
17k = 0.8499
k = 0.04999 ≈ 0.05
therefore the interest rate on this investment k = 0.05 or 5%
PLEASEE HELP 51 POINTS PLEASEE
Answer:
Part A is $21 and part B is $30.21
Point G and point H are the same distance form point F. Which coordinates could be the location of point H?
Answer:
[tex]H = (5,1)[/tex]
Step-by-step explanation:
The attachment is not clear. However, the points of G and F are:
[tex]F = (3, 2)[/tex]
[tex]G = (4, 4)[/tex]
And the options are:
[tex]A.\ (1, 2) \\ B. (4, 2)\\ C. (5, 1) \\ D. (2, 5)[/tex]
Required
Determine the coordinates of H
This question will be solved using distance formula, D
[tex]D = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
Since F is equidistant of G and H, the formula can be represented as:
[tex]D = \sqrt{(x_2 - x)^2 + (y_2 - y)^2}[/tex] and
[tex]D = \sqrt{(x_1 - x)^2 + (y_1 - y)^2}[/tex]
Where:
[tex](x_1,y_1) = (4,4)[/tex]
[tex](x,y) = (3,2)[/tex]
[tex]H = (x_2,y_2)[/tex]
Substitute values for x , y , x2 and y2 in [tex]D = \sqrt{(x_2 - x)^2 + (y_2 - y)^2}[/tex]
[tex]D = \sqrt{(x_2 - 3)^2 + (y_2 - 2)^2}[/tex]
Square both sides:
[tex]D^2 = (x_2 - 3)^2 + (y_2 - 2)^2[/tex]
Substitute values for x , y , x1 and y1 in [tex]D = \sqrt{(x_1 - x)^2 + (y_1 - y)^2}[/tex]
[tex]D = \sqrt{(4 - 3)^2 + (4 - 2)^2}[/tex]
Square both sides:
[tex]D^2 = (4 - 3)^2 + (4 - 2)^2[/tex]
[tex]D^2 = (1)^2 + (2)^2[/tex]
[tex]D^2 = 1 + 4[/tex]
[tex]D^2 = 5[/tex]
Substitute 5 for D^2 in [tex]D^2 = (x_2 - 3)^2 + (y_2 - 2)^2[/tex]
[tex]5 = (x_2 - 3)^2 + (y_2 - 2)^2[/tex]
From the list of given options, the values of x and y that satisfy the above condition is: (5,1)
This is shown below
[tex]5 = (5-3)^2 + (1-2)^2[/tex]
[tex]5 = (2)^2 + (-1)^2[/tex]
[tex]5 = 4 + 1[/tex]
[tex]5 = 5[/tex]
Other options do not satisfy this condition. Hence, the coordinates of H is:
[tex]H = (5,1)[/tex]
A bus and a truck leave a gas station at the same time and are headed to the same destination. If the bus traveled 480 miles in 8 hours, and the truck traveled 210 miles in 3 hours, who is on pace to reach the destination first?
Answer:
The truck
Step-by-step explanation:
You need to first find out how many miles per hour each is going. To do this you need to divide. 480/8=60 210/3=70 with this information you just need to take the one that goes faster which is the truck.
1. A force of 30N is applied to a screwdriver to pry the lid off of a can of paint. The
screwdriver applies 90N of force to the lid. What is the MA of the screwdriver?
Answer:
I would have to guess that the MA of the screwdriver is 120N.
Step-by-step explanation:
I think this because you are adding 30 and 90, since there are two forces being acted on the same place in the same direction.
#teamtrees #WAP (Water And Plant)
#teamtrees #WAP (Water And Plant)
For a party, 10 friends are buying 100 cups, 100 plates, a
punchbowl, and 200 balloons.
DATA
Party Supplies
100 balloons $7.80
100 plates
$4.75
100 cups
$5.45
100 napkins
$2.09
10 invitations $1.60
plastic punchbowl $11.50
What stepe do you need
to solve to find the
answer?
a. How much did they spend on party supplies?
Answer:
the answer i believe is 37.30
What is the slope of the line through (1,0) and (3, 8)?
Answer:
4
Step-by-step explanation:
the equation for slope: (y2-y1)/(x2-x1)
the points are (1,0), and (3,8)
we can label them
x1=1
y1=0
x2=3
y2=8
now, substitute into the equation (m=slope)
m=(8-0)/(3-1)
m=8/2
m=4
What is -10=k+6 please show work thank you
Answer:
k=-16
Step-by-step explanation:
-10=k+6
subtract 6 both both sides to isolate the variable
-16=k
Happy Holidays!!
Answer:
K= -16
Step-by-step explanation:
k=( -10)_6
make as brainlist
30 16565x
What is the solution to this equation
How can you determine the domain of a sine function?
Answer:
Step-by-step explanation:
Note that the domain of the function y=sin(x) ) is all real numbers (sine is defined for any angle measure), the range is −1≤y≤1 . The graph of the cosine function looks like this: The domain of the function y=cos(x) is all real numbers (cosine is defined for any angle measure), the range is −1≤y≤1 .
Need help plz need to solve for x.
1) 2x-7= -2x+1
2) 2(x-7)=6-2x
Answer:
1( ×=2
2( x=5
ekekjejew
A plumber is draining a tub, The graph shows the water level of the tub in gallons after draining for x hours.
What is the range of the function for this situation.
A) all real number is greater than or equal to 0 and less than or equal to 15.
B) all real numbers less than or equal to 15.
C) all real numbers greater than or equal to 0 and less than or equal to 20.
D) all real numbers less than or equal to 20.
The coordinates of the vertices of a polygon ABCD are shown on the graph below.
On a coordinate plane, point A is at (negative 4, 3), point B is at (negative 2, negative 2), point C is at (4, negative 2), and point D is at (4, 3).
If the points are connected, what polygon is formed?
Heptagon
Octagon
Quadrilateral
Triangle
Step-by-step explanation:
c
Answer:
c
Step-by-step explanation:
Answer this one question please thanks
Answer:
option b is correct answer
A. Determine the value of an account in which a person invested $6000 for 12 years at an annual rate of 9% compounded annually (n= 1).
Answer:
16875.98
Step-by-step explanation:
6000(1+(0.09/1)^1*12 = 16875.98
Answer:
1648
Step-by-step explanation:
A=p(1+rt)
=6000$(1+(9/100)×12))
=1648.56