Find the range of the function for the given domain.
f(x) = 3x -6;{-2,-1,0,1,2}
What is the range? Choose the correct answer below.
A. {-13, - 9,-6,-3,1)
B. {-12, - 8,-6,- 2,0}
C. {-12, - 8, -7,-2,0)
D. {-12,-9,-6,-3,0}
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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 a sweater costs $40.00 before the sale and $35.00 after the sale, what was the percent of decrease?
Answer:
%12.5
Step-by-step explanation:
Answer:
12%
Step-by-step explanation:
What is my perfect crime? I break into Tiffany's at midnight. Do I go for the vault? No, I go for the chandelier. It's priceless. As I'm taking it down, a woman catches me. She tells me to stop. It's her father's business. She's Tiffany. I say no. We make love all night. In the morning, the cops come and I escape in one of their uniforms. I tell her to meet me in Mexico, but I go to Canada. I don't trust her. Besides, I like the cold. Thirty years later, I get a postcard. I have a son and he's the chief of police. This is where the story gets interesting. I tell Tiffany to meet me in Paris by the Trocadero. She's been waiting for me all these years. She's never taken another lover. I don't care. I don't show up. I go to Berlin. That's where I stashed the chandelier.
Help pls I need help asap
Two horses start a race at the same time. Horse A gallops at a steady rate of 32 feet per second and Horse B gallops at a steady rate of 28 feet per second. After 5 seconds, how much farther will Horse A have traveled? Explain your reasoning. *
Answer:
Horse A will have traveled 20 feet farther
Step-by-step explanation:
Horse A has traveled 160 feet in 5 seconds, and Horse B has traveled 140 feet in 5 seconds, and 160-140=20
1.Find the eqn of line passing through the point of intersection of lines 5x+y=7 and 3y=4x-5 and parallel to the line 2x-y=3
Answer:
y = 2x - 259/115 [slope-intercept]
-230x + 115y = -259 [standard form]
Step-by-step explanation:
First make sure both of the intersecting lines are in standard form: Ax + By = C.
Then, multiply one of the equations by a certain quantity so one of the variables can be canceled out.
For example:
given 5x + y = 7, and 3y = 4x - 5.
You can rearrange the second equation since it is not currently in standard form.
So all we need to do is subtract both sides by 4x since that will leave the constant of C by itself.
3y = 4x - 5 → 3y - 4x = 4x - 5 - 4x →
3y - 4x = -5.
Now adding a negative number is the same as subtracting a positive number, this is because subtraction is the opposite of adding.
So 3y - 4x = -5 = 3y + (-4x) = -5 →
-4x + 3y = -5
Please help I’ll appreciate it thank you
Answer:
107*
Step-by-step explanation:
assuming QOP is 73 degrees then NOP is 107 degrees
a straight like is 180* then - 73* = 107*
which point on the line number line represntes -1/3
Answer:
c
Step-by-step explanation:
Answer:
Aaaaaaaaa because -1/3=0.3333
1. Using the numbers 1-20, and only using a number once, fill in the blanks. There may be multiple correct answers
a) (x +
D(x+
b) (x + (x +
2. Using the numbers 1-40, and only using a number once, fill in the blanks. There may be multiple correct answers
a) (x+2)CL_X+5) =
b) CX+ 2XL X+5) =
What is the origional price of an object if the total is 878.74 and the tax is 0.07.
My problem/find X
X × 0.07 =b
X + b =$878.78
Answer:
The original price was $821.25
Step-by-step explanation:
The price of an object is $878.74 including a tax of 7%.
We are required to find the original price.
If the tax is 7%, then the total price is 100+7=107% of the original price.
Thus, $878.74 is the 107% of the original price x, thus:
x = $878.74/107*100 = $821.25
The original price was $821.25
A board game was originally priced at $24, it is on sale now for $18. What percent off is the game (percent of
change)?
See attachment for your problem set up.
Answer:
This is a 25% decrease
Step-by-step explanation:
Find the difference between the two prices
24- 18 = 6
Take that over the original price
6 /24 = 1/4
Change to decimal form
.25
Change to percent form
25%
This is a 25% decrease
The equation 22j + 8s = 150 is used to determine the number of jeans j and the number of shirts s that can be bought for $150. You purchase 5 pairs of
jeans. Select all the steps that may be used when solving for the number of shirts purchased
A Add 22 to both sides.
B. Subtract 22; from both sides.
C. Substitute 5 for j in the equation
D. Multiply both sides by 8
E Divide both sides by 8.
Answer:
C. Substitute 5 for j in the equation
Step-by-step explanation:
22(5)+8s =150
110+8s=150
8s = 40
s=5
or
110+8s=150
Which expression is equivalent to 2(x + 7) – 18x + 3?
Answer:-16x+17
Step-by-step explanation:
I need help?...........
Answer:
J. 2(×-3)=22...........
Answer:
J. 2( x - 3 ) = 22
Step-by-step explanation:
All you need to do, is substitute the x with 14
2 ( x - 3 ) = 22
2 ( 14 - 3 ) = 22
use PEMDAS
2 * 14 - 2* 3 = 22
28 - 6 = 22
22 = 22
So this problem is the correct one
Hope this helped!
P.S Do you want me to show you the work for the others so you can see how I know there wrong?
The campus bookstore knows from the past several semesters that a certain elementary statistics book has a demand that is approximated by a normal distribution with a mean of 250 and a standard deviation of 40. They buy these books for $105 each and sell them to unsuspecting undergraduates at $222 each. All demand for this book is realized by the middle of the semester, at which point the bookstore bundles them up and sells them to a vendor in another country for $40 each. What is the probability of sale for the last book that the bookstore should purchase for sale to a student
Answer:
0.357
Step-by-step explanation:
The computation of the probability of sale for the last book that the bookstore should purchase for sale to a student is shown below
Probability is
= 1 - ((Cs ) ÷ (Cs + co))
= 1 - (($225 - $105) ÷ ($117 + ($105 - $40)))
= 1 - 0.6428
= 0.357
Here Cs represent the notional loss in the case when the demand is underestimated
And Co represent the notional loss in the case when the demand is overestimated
Digit realizes that some members of the audience cannot see the bride and groom due to the current seating arrangement. Therefore, the "U" shape in which the wedding party is organized needs to be widened so that the entire audience fits in between the outer boundaries of the "U" shape. In other words, the audience will be located above the upward-opened parabola formed by the bridal party.
What type of transformation is needed to widen the shape in which the wedding party is currently organized?
a dilation
a reflection
a translation
a rotation
Answer:
A dilation
Step-by-step explanation:
i
3x+7+10x=7+13x+10 has {fill in blank} solutions.
-6x-6+8x=-5+2x-1 has {fill in blank} solutions.
choices for both are
infinitely many,one,two,three
Answer and Step-by-step explanation:
3x + 7 + 10x = 7 + 13x + 10
13x + 7 = 13x + 17
0 = 10
No solutions
-6x -6 + 8x = -5 + 2x -1
2x - 6 = -6 + 2x
0 = 0
Many solutions.
The first equation has no solutions.
The second equation has infinitely many solutions.
#teamstrees #WAP (Water And Plant)
Answers:
1. No solutions
2. Infinitely many solutions
Step-by-step explanation:
[tex]3x+7+10x=7+13x+10[/tex]
Add common terms from both sides of the equation (10x and 3x) & (7 and 10)
[tex]13x+7=17+13x[/tex]
Subtract common terms from both sides (13x and 13x)
[tex]7\neq 17[/tex]
7 does not equal 17; thus, there are no solutions
[tex]-6x-6+8x=-5+2x-1[/tex]
Add common terms from both sides of the equation (-6x and 8x) & (-5 and -1)
[tex]2x-6=-6+2x[/tex]
Reorder the right side of the equation
[tex]2x-6=2x-6[/tex]
Since this is a true statement, there are infinitely many solutions
chris types 350 words in 4 minutes. Which equation can be used to find w, the number of words chris can type in 20 minutes if he continues to type at the same speed rate?
Answer:
Chris will type 7,000 words in 20 minutes. You can use 350 x 20 to find your answer.
Step-by-step explanation:
URGENT
The table shows the derivation of tan(2x). Select the
correct reason for each step.
Reason 1 is
Reason 2 is
Reason 3 is
Answer:
Reason 1 is: Addition
Reason 2 is: Tangent Sum Identity
Reason 3 is: Simplify
Step-by-step explanation: ED 2020
Answer:
Reason 1 is: Addition
Reason 2 is: Tangent Sum Identity
Reason 3 is: Simplify
Step-by-step explanation:
The linear regression equation for a data set is y=1.6x-4.1. If the actual value at x=3 is 0.9,
what is the residual value at x=3?
Answer:
0.2
Step-by-step explanation:
Given the regression model :
y = 1.6x - 4.1
At x = 3
Predicted value = 1.6(3) - 4.1 = 0.7
If actual value at x = 3 is 0.9
The residual value at x = 3 ;
Residual value is the difference between the actual and predicted value :
Actual at x = 3 minus predicted at x = 3
Hence, Residual = 0.9 - 0.7 = 0.2
Residual is the difference between the predicted value and the actual value of the response variable
The residual at x = 3 is 0.2
The linear regression is given as:
[tex]y = 1.6x - 4.1[/tex]
The predicted value at x = 3 is calculated by substituting 3 for x in the linear regression
So, we have:
[tex]y = 1.6 \times 3 - 4.1[/tex]
[tex]y = 4.8 - 4.1[/tex]
[tex]y = 0.7[/tex]
The actual value is given as 0.9.
So, the residual is calculated using:
[tex]Residual =Actual - Predicted[/tex]
This gives
[tex]Residual =0.9 - 0.7[/tex]
[tex]Residual =0.2[/tex]
Hence, the residual at x = 3 is 0.2
Read more about residuals at:
https://brainly.com/question/9315325
Which theorem, term, or corollary is represented by the picture? The bold lines in the pictures represent the hypothesis of the theorem or corollary.
A. Corollary to the isosceles triangle theorem
B. Corollary to the converse of the isosceles triangle theorem
C. CPCTC
D. Isosceles triangle theorem
E. Converse to the isosceles triangle theorem
Answer:
Pictured is the equilateral triangle with 3 sides and 3 angles being same
This should be equilateral triangle theorem, but it is not captured by answer choices
If s varies directly as t2, and s = 294 when t = 7, find s when t is 9
Answer:
If you need to find s when t is 9, its simple.
Step-by-step explanation:
All ypu need to do is see what t is
t equals 2
you want to find what s is when t is 9
when t is 2, s is 294
when t is 9, all you have to do is find what times 2 equals 9, then times that number by 294
Connor has 36¢ in nickels and pennies. He has 8 coins altogether. How many coins of each kind does he have?
Answer:
7 nickels
1 pennie
Step-by-step explanation:
Answer:
Connor has 7 nickles and 1 penny.
Step-by-step explanation:
7 * 5 = 35
5 is the value of a nickel.
1 * 1 = 1
35 + 1 = 36
Therefore, Connor has 7 nickels and 1 penny.
how many times larger is 2.4 x 10^8 than 6 x 10^7?
The square of 15 is 225. The square of what other number is 225?
Answer:
-15
Step-by-step explanation:
-15²
= -15×-15
= 225
hope it helps!!
Answer:
-15
Step-by-step explanation:
Any number times itself is a positive number. The square of any number will be the same as the square of that number times -1
example:
2^2=4
-2^2=4
what is 1% of 73023.60
Answer:
730.236
the answer
Sam saved $50 from his summer job to buy video games. He bought 3 video
games and the cashier gave him $12.80 in change. If each game cost the same
amount, how much was each video game?
Answer:
$12.40
subtract 12.80 from 50 to get 37.20 then divide by 3
Which statement is correct?
Α. ΔΑGT = ΔQΜΕ
Β. ΔTAG = ΔΕΜW
C. ΔGTA = ΔQΜΕ
D. ΔΑGT = ΔΜΕΟ
Answer:
C
Step-by-step explanation:
We already know the triangles are congruent because all of the sides of one triangle correspond directly with another. Then, this is a problem of correct labling. GTA goes from point G (top) to T (bottom) to A (left). If we rotate the triangle MEQ, it is laid out in the same way: point Q (top) to point M (bottom) to point E (left or right).
Our correct answer is GTA = QME
What is the answer 1.4 ÷ 0.7 =
Answer: 2
Step-by-step explanation: 0.7 times 2 is 1.4
Answer:
2
Step-by-step explanation:
A school cafeteria sold 1,280 slices of pizza the first week, 640 the second week, and 320 the third week. If this pattern continues, in what week will the cafeteria sell 40 slices? Explain how you got your answer.
If you look at the question, You would see a pattern. That pattern is the amount of slices in one week is divided by 2 the next week. So on the fourth week you would do 320/2 and get 160. if you keep carrying on the pattern yourself, you would do: 160/2 = 80. 80/2 = 40. And there's your answer. week 4 we had 160 slices sold. week 5 80 slices sold. Week 6 40 slices sold
Simplify this into your own words if you have to
Consider the following triangle:
Part A:find the perimeter of the triangle:
Options__
1) 72^1/2+32^1/2+2.16^1/3
2) 72^1/2+32^1/2+32^1/3
3) 104^1/2+2.16^1/3
Part B: Ronnie correctly rewrote the perimeter using radicals. Which expression did he use?
1) √32+ √72+3^ √16
2) √32+ √72+ √16
3) √32+ √72+3^ √32
4) √32+ √72+2 3^ √16
Part c in graph...if you already know the answer for it..please let me know
Answer:
Part A: B
Part B: I think 3
Step-by-step explanation:
Simply for Part A, put all the numbers together and add them for 2*16^1/3, you just multiply the 2 and 16. For the second part, use process of elimination
HOPE THIS HELPS:
SSG