3. Use the equation y = 3.2x + 5
to complete in the table.
Type the answers in the boxes below.
1
2
4
3. Is y proportional to x and y?
Select the correct choice from the drop down.
Explain why or why not.
Type your response in the space below.
Answer/Step-by-step explanation:
Plug in the value of x in each row into the equation, y = 3.2x + 5, to find their corresponding y values respectively.
When x = 1:
y = 3.2(1) + 5
y = 3.2 + 5
y = 8.2
When x = 2:
y = 3.2(2) + 5
y = 6.4 + 5
y = 11.4
When x = 4:
y = 3.2(4) + 5
y = 12.8 + 5
y = 17.5
You have the following table:
x | y
1 | 8.2
2 | 11.4
4 | 17.5
To find out if y is proportional to x, find the ratio of y to x of each pair in the table.
x | y | ratio of y to x (y/x)
1 | 8.2 | 8.2/1 = 8.2
2 | 11.4 | 11.4/2 = 5.7
4 | 17.5 | 17.5/4 = 4.375
As you can see, here is no equal ratio. Each pair has a different ratio. Therefore, the a proportional relationship does not exist between x and y.
A television costs $400 to purchase. Renting the same telension
requires making a $50 non-refundable deposit plus monthly payments of
$25. After how many months will the cost to rent the television equal the
cost to purchase it
Answer:
14 months
Step-by-step explanation:
400 dollars to purchase tv
50 dollars down already in renting television
400-50=350 dollars
350 dollars/ 25 dollars each month for television=14 months
1 year 2 months
Hope this helps!
The number of months will the cost to rent the television equal the cost to purchase it is 1 year 2 months.
Given that, a television costs=$400. Renting the same television requires making a $50 non-refundable deposit plus monthly payments of $25.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Now, 400 dollars to purchase a television.
50 dollars down already in renting television
400-50=350 dollars
Number of months=350/25 =14 months
Therefore, the number of months will the cost to rent the television equal the cost to purchase it is 1 year 2 months.
To learn more about the unitary method visit:
brainly.com/question/22056199.
#SPJ2
Write an equation in slope intercept form that has a slope of -8 and a y-intercept of 12
Answer: -8x + 12
Step-by-step explanation:
12 will be y-intercept because it crosses the y-axis.
-8 will be slope because it is the rate of change.
Is the expression 6+3=9 an equation? Explain.
Answer:
No, 6+3=9 is not an equation.
Step-by-step explanation:
The reason as to why this is not an equation is because an equation is a statement that asserts the equality of two expressions, which are connected by the equal sign. And 6+3=9 does not in fact connect two separate expressions.
Which series of transformations would result in a figure that is congruent to the triangle ABC?
rotation of 180' clockwise about the origin and then dilation with a scale factor of -1, centered at the origin
rotation of 180' clockwise about the origin and then dilation with a scale factor of 2, centered at the origin
reflection across the line y ox and then dilation with a scale factor of -3, centered at the origin
translation 3 units to right and then dilation with a scale factor of 3, centered at the origin
Answer: rotation of 180' clockwise about the origin and then dilation with a scale factor of -1, centered at the origin
Step-by-step explanation:
Two triangles are congruent if all the corresponding angles are equal, and if the corresponding side lengths are equal.
Now, this means that if we have a given triangle, and we apply a dilation/contraction, then the resultant triangle will have different side lengths than the initial triangle, then those two triangles can not be congruent.
So we can already discard all the options with dilations.
Now, remember how the dilation works.
If we have a point that is at a distance L of the origin, and we do a dilation of scale factor K centered at the origin, then the new distance of the point and the origin will be K*L.
Notice that if the scale factor is equal to 1, then there is no change.
In the options, we have one where the scale factor is -1.
The minus sign means that will cause the enlargement to appear on the other side of the center of enlargement. But the scale factor still is of absolute value 1, so it will not change anything.
Then the only option that not dilates the triangle is:
Rotation of 180' clockwise about the origin and then dilation with a scale factor of -1, centered at the origin
So this is the only transformation that results in a figure congruent to the triangle ABC
Change the equation from standard form into vertex form by completing the square.
y equals x squared plus 14 x plus 53
What is 120 divided by 55
Answer:
2.2
..................
120/55
Sarah writes 4 songs. Ronnie writes 6 more songs than Sarah Paul writes 2 times as many songs as Sarah
Answer:
Sarah wrote 4 songs
Ronnie wrote 10 songs
Paul wrote 8 songs
Step-by-step explanation:
Enter your answer and show all the steps that you use to solve this problem in the space provided.
Write and inequality for the graph.
Answer:
Step-by-step explanation:
In a square what is the relationship between the length and the side of the area?
Answer:
Length X width = area
Step-by-step explanation:
Hope this helps
find all integers x satisfying each of the following congruences mod n. if no such x exists, explain why not
Answer:
please find the solution:
Step-by-step explanation:
please find the correct question:
Given value:
[tex]\to 4x \equiv 2(mod\ n) \ \ \ \ \ \ \ \ \ \ \ \ _{where} \ \ n=6\\\\\to 4x \equiv 2 (mod 6)[/tex]
[tex]\to 4x-2[/tex] should be divisible by 6 we are also given that [tex]0 \leq x < n[/tex] and start with x = 0
[tex]\to 4x-2[/tex] =-2 which is not divisible by 6
x= 1
[tex]\to 4x-2[/tex] = 2 not divisilble by 6
x= 2
[tex]\to 4x-2[/tex] = 6 which is divisible by 6
x=3
[tex]\to 4x-2[/tex] = 10 not divisible by 6
x=4
[tex]\to 4x-2[/tex] = 14 not divisible by 6
x=5
[tex]\to 4x-2[/tex] = 18 which is divisible by 6
so such x are x = 2 and x = 5
f(x)=x+3
g(x)=2x
its combining funtions please help
NEED HELP ASAP!! RESPOND AS QUICK AS POSSIBLE!!!
Tell me what the answer is for these 3 questions
Answer:
First one: y-intercept = 1
ordered pair: (0,1)
Second one: y-intercept = -1
ordered pair: (0,-1)
Third one: y-intercept = 4
ordered pair: (0,4)
Answer:
1. y=1, (0,1)
2. y=-1, (0,-1)
3. y=4, (0,4)
Step-by-step explanation:
The y-intercept is the line crossing the y-axis
(0, number here that cross y-axis)
1. y=1, (0,1)
2. y=-1, (0,-1)
3. y=4, (0,4)
1 Later that afternoon, Robert spent more time playing the video game.
He earned 88 points. How many points did he tell his friend that
he earned?
NEED ANSWER ASAP! !!!
The graph of a quadratic function with vertex (3,2) is shown in the figure below.
Find the domain and the range.
Answer:
Domain=All Real Numbers Range=y>2
Step-by-step explanation:
Since the graph expands infinitely across the x axis it is all real numbers
Since the Y covers all the numbers above 2 it is y>2
Which point represents the opposite of –2?
Given a 45-45-90 triangle with the hypotenuse measuring 5√7 feet. Which is the exact measure of each leg?
Let f(x) = 5^x Find f(-3).
what did you guys get?
Answer:
I got 1/125
Step-by-step explanation:
PLEASE HELP ASAP
can you help me please
does anyone need to talk/rant about something because im here for you
Answer: sure
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
ok so I just got an email from my school saying that you need to do half the semester in ONE WEEK and I'm like, why you didn't need to do this. And also my parents are expecting me to do it ALL IN 2 DAYS AND GET AN A honestly I am very sad I am actually doing an assignment right now lol.
Emily and Andy each go to a hardware store to buy wire. The table shows the cost y in dollars for x inches of the wire they need. Emily needs 22 feet of the wire. Andy needs 13 yards of the wire. How much will each of them spend for wire?
Answer:
Step-by-step explanation:
Actually its
Andy spends $ 13.20
Emily will spend 23.40
HOPE IT HELPS!!!!!!!!!!
please help!!
find h(8)-f(-7)
I need help on this I will give brainlist help it will mean a lot this is my last math problem help me!
Let v= 3i − 2j + k (or equivalently ). Find non zero vectors w and u such that each of v, w and u is orthogonal (another word for perpendicular) to the other two Make sure you demonstrate that they are each orthogonal to one another after you find them.
Answer:
w = 1 i + 1 j - 1 k
u = 1 i + 4 j + 5 k
Step-by-step explanation:
Two possible vectors are:
w = 1 i + 1 j - 1 k
and
u = 1 i + 4 j + 5 k
since they verify the rules for scalar product equal zero among them:
v * w = 3 - 2 - 1 = 0
v * u = 3 - 8 + 5 = 0
u * w = 1 + 4 - 5 = 0
3- ¿Cuál es la probabilidad de que al escoger un número positivo de dos cifras, este sea
primo y termine en 3?
O a) 1/15
b) 2/90
c) 6/91
d) 9/90
Answer:
6 primos de dos cifras(casos favorables) / 90 numeros de dos cifras(casos posibles) = 1/15
Step-by-step explanation:
Usando el concepto de probabilidad, se encuentra que hay una probabilidad de [tex]\frac{1}{15}[/tex], opcion A, de que al escoger un número positivo de dos cifras, este sea primo y termine en 3.
------------------------------
Una probabilidad es dada por la división de el número de resultados deseados por el número de resultados totales. Hay 90 números positivos de dos cifras.13, 23, 43, 53, 73, 83 son primos y terminan en 3, o sea, el número de resultados deseados es 6.Entonces:
[tex]p = \frac{6}{90} = \frac{1}{15}[/tex]
Probabilidad de [tex]\frac{1}{15}[/tex], opcion A, de que al escoger un número positivo de dos cifras, este sea primo y termine en 3.
Un problema similar es dado en https://brainly.com/question/24583317
60 POINTS BRAINLIES
PLEASE WORKOUT QUESTIONS a b & c
PHOTO OF GRAPH ATTACHED BELOW
a) Calculate the median number of medals for each medal type, stating the formula you would use for determining the median for the gold medals.
b) Calculate the mean number of medals for each of the 3 medal types, stating the formula you would use for determining the mean for the bronze medals.
c) Calculate the standard deviation of the total medals awarded to each country
(column F) using the formula below.
Show all the steps ( show your work ).
USE the STDEV.P function to cross-check your final answer.
Answer:
see below
Step-by-step explanation:
a) median : re-arranged the numbers in order. i.e. min to max
gold: 147 , 147 , 175 , 206 , 212 , 227 , 263 , 275 , 440 , 1022
212 + 227 = 219.50
2
silver: 147 , 163 , 165 , 170 , 178 , 241 , 295 , 313 , 357 , 794
178 + 241 = 209.50
2
bronze: 151 , 169 , 179 , 187 , 193 , 260 , 289 , 325 , 349 , 704
193 + 260 = 226.50
2
b) mean : sum of all numbers divide by n, where n=10
gold: = (147 , 147 , 175 , 206 , 212 , 227 , 263 , 275 , 440 , 1022 ) / 10
= 311.40
silver: = (147 , 163 , 165 , 170 , 178 , 241 , 295 , 313 , 357 , 794 ) / 10
= 282.30
bronze: = (151 , 169 , 179 , 187 , 193 , 260 , 289 , 325 , 349 , 704 ) / 10
= 280.60
c) standard deviation on population (STDEV.P)
Australia = 16.44
china = 33.03
france = 19.74
germany = 30.21
great britain = 13.89
hungary = 12.04
italy = 11.44
soviet union = 48.46
sweden = 13.47
united states = 133.84
If angle 1= 36 degrees and angle 4= 115 degrees what is the measurement of angle 2 ?
PLS ANSWER I WILL MAKE YOU BRAINLIEST!
Name the points which satisfy the conditions. A negative x-coordinate.
9514 1404 393
Answer:
B, C, G, H, L, M
Step-by-step explanation:
The points with a negative x-coordinate are the points that are to the left of the y-axis. They are ...
B, C, G, H, L, M
Which is the equation of the line in point-slope form with a slope m=6 and a point (-1,9)
Answer:
y-9=6(x+1)
Step-by-step explanation: