Given:
The relation is
[tex]M = \{ (15k+9, 4), (3\cdot (4k-1), 6) \}[/tex]
To find:
The value of k for which the relation is not a function.
Solution:
A relation is a function if their exist a unique output or y value for each input or x values.
A relation is not a function if it has two y-values for single x value.
So, the given relation is not a function if x-coordinates of both ordered pairs are equal.
[tex]15k+9=3\cdot (4k-1)[/tex]
[tex]15k+9=12k-3[/tex]
Isolate variable terms.
[tex]15k-12k=-9-3[/tex]
[tex]3k=-12[/tex]
Divide both sides by 3.
[tex]k=-4[/tex]
Therefore, the given relation is not a function for k=-4.
Is this right? Also what do I have to right in the box.
Answer:
WHAT IS RIGHT
Step-by-step explanation:
Is this right? Also what do I have to right in the box. WHAT IS...
Pls help me with this! (10 points)THANK YOU
answers:
Piecewise
Square root
Absolute Value
Cube root
Exponential
Linear
Quadratic
Step
Answer:
Linear
Step-by-step explanation:
Straight Line = linear
PLEASE HELP ASAP
The area of a square is 400 square units. If the length of each side of the square increased by one unit, would its area be a rational number? Explain.
Answer:
yes it will be a rational number.
Step-by-step explanation:
square having area 400 sq units will have a length of 20 on each side
by increasing the lenght of each side by 1 we get 21
then the area will be 21 ^ 2 which equals 441
Therefore we get a rational number.
3 pts
Question 11
Calculate the mean for a binomial distribution given n=50
and p=0.35.
0 32.5
0 1.37
0 17.5
0 3.37
Do you go to west greene
Step-by-step explanation:
please solve 5 a only if you can....
====================================================
Explanation:
Check out the diagram below. I recreated the diagram in your textbook, but I added on a few other points and segments.
Point E is the midpoint of segment AB. Segment OE is perpendicular to AB.
Point F is the midpoint of CD. Segment OF is perpendicular to CD.
Right triangle AOE forms with OA = 10 as the hypotenuse (radius of the circle) and AE = 8, since E cuts AB in half.
Use the pythagorean theorem to find that...
a^2+b^2 = c^2
(AE)^2 + (OE)^2 = (OA)^2
8^2 + (OE)^2 = 10^2
64 + (OE)^2 = 100
(OE)^2 = 100-64
(OE)^2 = 36
OE = sqrt(36)
OE = 6
--------------------
Because chord CD is the same length as chord AB, this means the chords are the same distance from the center point O.
So, OE = OF = 6
Since we have rectangle OEPF, the opposite sides are congruent and we can say OF = EP = 6
Now focus on right triangle OEP. Use the pythagorean theorem again
a^2+b^2 = c^2
(OE)^2 + (EP)^2 = (OP)^2
(6)^2 + (6)^2 = (OP)^2
72 = (OP)^2
(OP)^2 = 72
OP = sqrt(72)
OP = sqrt(36*2)
OP = sqrt(36)*sqrt(2)
OP = 6*sqrt(2)
What value of k makes the equation true? (5a^2b^3)(6a^kb)=30a^6b^4
Answer:
k=4
Step-by-step explanation:
Answer:
K=4
Step-by-step explanation:
edge 2021
Wally's grandmother started a college savings account for him with
$3,000. What is the total amount of money in the account after 5 years if
the annual simple interest rate is 3%?
I need this plz help explain the proses thx ASAP
Answer:
$450
Step-by-step explanation:
You want to calculate the interest on $3000 at 3% interest per year after 5 year(s).
The formula we'll use for this is the simple interest formula, or:
Where:
P is the principal amount, $3000.00.
r is the interest rate, 3% per year, or in decimal form, 3/100=0.03.
t is the time involved, 5....year(s) time periods.
So, t is 5....year time periods.
To find the simple interest, we multiply 3000 × 0.03 × 5 to get that:
The interest is: $450.00
Usually now, the interest is added onto the principal to figure some new amount after 5 year(s),
or 3000.00 + 450.00 = 3450.00.
Write an expression for the perimeter of the triangle shown below:
6.9x − 16
6.9x + 16
0.1x − 16
0.1x + 16
Answer:
The answer is 0.1x-16
Step-by-step explanation:
-3.4x+3x+.5x=0.1x and -25+9 is -16 which is 0.1x-16
evaluate each expression
Answer:
Step-by-step explanation:
6) 4
7) 28
Chau-Ha wants to find a multiple of 2 that will form a ratio with 42 so that the ratio is equivalent to 6/2. she performs the steps below.
Step 1: Highlight the columns for 2 and 6 in the multiplication table.
Step 2: Find 42 in the column for 6, and follow the row until you reach the column for 2.
Step 3: The number 14 forms a ratio with 42.
Step 4: The ratio 14/42 is equivalent to 6/2
in which step did Chau-Ha make the first error?
0: Step 1
0: Step 2
0: Step 3
0: Step 4
~[ i apologize if i spelled anything incorrectly }~
Answer: step 1
Step-by-step explanation: i got it right
Answer:
step 1
Step-by-step explanation:
4 (3x + 2)-6
I neeeed help
Answer:
12x - 2
Step-by-step explanation:
Step 1: Write expression
4(3x + 2) - 6
Step 2: Distribute 4
12x + 8 - 6
Step 3: Combine like terms
12x - 2
X Maren's kitten weighs 86.23 ounces. Lynn's kitten weighs 67.74 ounces. How much more does Maren's kitten weigh than Lynn's kitten? o A. 18.49 ounces O B. 18.59 ounces O C. 19.51 ounces D. 19.59 ounces URGENT PLS HELP
Answer:
18.49
Step-by-step explanation:
just subtract 86.23 - 67.74
Answer:
18.49
Step-by-step explanation:
(11,-7) (-5,-5) midpoint
Answer:
(3,-6)
Step-by-step explanation:
The midpoint is the halfway distance between two points.
11+(-5)/2, -7+(-5)/2=
11-5/2, -7-5/2=
6/2, -12/2=
(3, -6)
What is the value of the expression -8mutiplied by 3.2
Answer:
-25.6
Step-by-step explanation:
Pour tout réel x, on pose : f(x) = -2x²+4x+6. Vérifier que (-1) est une racine de ce polynôme f. On sait que l'axe de symétrie de la parabole qui représente f est la droite d'équation : x=1. Déduire de cette information l'autre racine du polynôme f. Factoriser le polynôme f. Aidez-moi svp meci d'avance
Explication étape par étape:
Étant donné la fonction polynomiale f (x) = -2x² + 4x + 6. Pour vérifier si f (-1) est un facteur de l'expression, nous devons montrer que f (-1) est équivalent à zéro. S'il est nul, donc x + 1 est un facteur du polynôme.
Preuve
f (x) = -2x² + 4x + 6
f (-1) = -2 (-1) ² + 4 (-1) +6
f (-1) = -2 (1) -4 + 6
f (-1) = -2-4 + 6
f (-1) = -6 + 6
f (-1) = 0
Puisque f (-1) = 0, donc x + 1 est un facteur du polynôme.
Ensuite, il faut obtenir l'autre racine du polynôme. Pour obtenir cela, nous devons factoriser la fonction polynomiale donnée.
Soit f (x) = 0
-2x² + 4x + 6 = 0
multiplier par -1
2x²-4x-6 = 0
diviser par 2
x²-2x-3 = 0
x²-3x + x-3 = 0
x (x-3) +1 (x-3) = 0
(x + 1) (x-3) = 0
x + 1 = 0 et x-3 = 0
x = 1 et x = 3
Par conséquent, l'autre racine du polynôme en dehors de 1 est x = 3
Find m_ABD and mZCBD given m ABC = 77º. A (3x + 22) D 16 (5x - 17) B C mZ ABD |° and mZCBD
Answer:
∠ ABD = 49°, ∠ CBD = 28°
Step-by-step explanation:
∠ ABD + ∠ CBD = ∠ ABC , substitute values
3x + 22 + 5x - 17 = 77 , that is
8x + 5 = 77 ( subtract 5 from both sides )
8x = 72 ( divide both sides by 8 )
x = 9
Thus
∠ ABD = 3x + 22 = 3(9) + 22 = 27 + 22 = 49°
∠ CBD = 5x - 17 = 5(9) - 17 = 45 - 17 = 28°
Please answer correctly !!!!!!!!! Will mark brainliest !!!!!!!!!!!! Show your work !!!!!!!!!!!!!!
Answer:17x
Step-by-step explanation:
Combine the following and write in standard form.
(7 + 5) + (-6 - 81)
Answer:
without exponents its -75 since i thought those last 2 were exponents.
The following triangles are congruent (Equal) according to :
A) AAS
B)SAS
C)SSS
D)ASA
What is 6P6 ?
36
46,656
720
1
9514 1404 393
Answer:
6P6 = 720
Step-by-step explanation:
The notation nPk is shorthand for ...
n!/(n-k)!
So your expression
6P6 = 6!/(6-6)! = 6!/0! = 720/1 = 720
_____
The ! is pronounced "factorial." The factorial of a positive integer is the product of that integer and every smaller positive integer. 0! is defined as 1.
6! = 6·5·4·3·2·1 = 720
NEED HELP ASAP.
A linear function has a y-intercept of -12 and a slope of 3. What is the equation of the line?
Answer:
y = 3x - 12
Step-by-step explanation:
Hope This Helps!
Plz Mark Brainliest!
A gym membership costs $110 to open and $30 per month after
1. What is the dependent and independent variable
2. Explain how you know the variables are independent or dependent
3. Is the relationship linear or non linear? Explain your reason
4. Do you think that given enough information you could create a table,graph, and an equation for the function? Why or why not
5. What information would you need to make your table/graph/equation?
Answer:
1) The dependent variable is the monthly charge and the independent variable is the $110 to open the membership.
2)The dependent variable is the monthly charge because it will change depending on how many months you plan to keep your membership.
3)This relationship is linear because it will go up by $30 every month.
4)You could create a graph off of this information because all you would need to do is graph the cost each month.
5)I would need the number of month that I would keep the membership going and the amount that i have already paid.
Put a pic of your self while you answer I need it to make edits you can see it tomorrow on my Instagram ill comment on it, thx for the help guys
Pls make it to you because people can tell.
Please help me out!
Answer: Rotate 180 degrees around the origin
You can do this clockwise or counterclockwise.
Whenever we move from one quadrant to the complete opposite quadrant like this, we perform a 180 degree rotation. Connect any preimage point to its corresponding image point, and this segment will go through the origin. This works because the origin is the center of rotation, and only works with 180 degree rotations.
I need help with the slope of this line.
The football team has a total of 20 jerseys. There are 12 medium-sized jerseys. What percent of the jerseys are medium-sized jerseys?
Answer:
60 percent
Step-by-step explanation:
every 4 jerseys is 20%
2(3−8y)=? Does anyone know what this is?
Answer:
i think it’s y = -3/4
Step-by-step explanation:
Write the equation of the line perpendicular to y=4x+2 and passes though the point (1,1). PLZ HURRY!
Answer: Y= -1/4x + 1 1/4
Step-by-step explanation: Perpendicular means the slope will be negative reciprocals
x =
y =
z=
I need to find x,y,z we’re working with transversals please help
Simplify: (4 – 5) – (13 – 18 + 2).
(a) -1,
(b) –2,
(c) 1,
(d) 2.
Answer:
1 is corr
Step-by-step explanation:
I might be wrong sorry if I am
Answer:
C. 1
Step-by-step explanation:
