Describe the pattern in the table using words, an equation, and a graph. Extend the pattern for x=5, 6 and 7.
Answers
Answer:
Step-by-step explanation:
x y Difference [tex](y_2-y_1)[/tex]
1 15 -
2 25 25 - 15 = 10
3 35 35 - 25 = 10
4 45 45 - 35 = 10
There is a common difference of 10 in each successive term of y.
Therefore, table represents a linear function.
Let the equation of the linear function is,
y = mx + b
Here 'm' = slope of the line
b = y-intercept
Since, two points (1, 15) and (2, 25) lie on the graph of the function,
Slope of the line = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m = [tex]\frac{25-15}{2-1}[/tex]
m = 10
Equation of the line will be,
y = 10x + b
For the value of 'b' (y-intercept),
Since, (1, 15) lies on the graph of the linear function,
15 = 10(1) + b
b = 15 - 10
b = 5
Equation of the line on the graph will be,
y = 10x + 5
Now we can determine the output value of the function with the input values, x = 5, 6 and 7
[tex]y_1[/tex] = 10(5) + 5 = 55
[tex]y_2[/tex] = 10(6) + 5 = 65
[tex]y_3[/tex] = 10(7) + 5 = 75
Related Questions
Por favor ayuden con este ejercicio de Geometría Analítica Se tiene un triángulo ABC, donde las coordenadas de sus vértices son A (6, -3) B (9, 7) y C (3, 4). Ubica las coordenadas, grafica el triángulo y determina su tipo considerando la medida de sus lados.
Answers
Answer:
Puesto que [tex]AB\neq BC\neq AC[/tex], entonces se trata de un triángulo escaleno.
Step-by-step explanation:
Procedemos a graficar el triángulo agregando los puntos y los lados correspondientes. Incluimos la construcción en la imagen adjunta abajo.
A continuación, calculamos los lados del triángulo a través del Teorema de Pitágoras:
AB
[tex]AB = \sqrt{(9-6)^{2}+[7-(-3)]^{2}}[/tex]
[tex]AB = \sqrt{109}[/tex]
BC
[tex]BC = \sqrt{(3-9)^{2}+(4-7)^{2}}[/tex]
[tex]BC = \sqrt{45}[/tex]
AC
[tex]AC = \sqrt{(3-6)^{2}+[4-(-3)]^{2}}[/tex]
[tex]AC = \sqrt{58}[/tex]
Puesto que [tex]AB\neq BC\neq AC[/tex], entonces se trata de un triángulo escaleno.
what is the answer to 10x+18 when x=5.
Answers
Answer:
48
Step-by-step explanation:
Several paint mixtures are made by mixing blue paint and white paint. Paint Colors Blue Paint White Paint Mixture A 5 cups 12 cups Mixture B 6 cups 6 cups Mixture C 4 cups 12 cups Mixture D 5 cups 6 cups Which mixture has the lowest ratio of blue paint to white paint? mixture A mixture B mixture C mixture D
Answers
Answer:
c is right
Step-by-step explanation:
Answer:
It's C i just did it
Step-by-step explanation:
Find the measure of <2
Answers
Answer
37°
Step-by-step explanation:
90°-53°=37°
a bowling alley charges $7 for each game, plus a one time shoe rental charge $9. write an expression for the coat of dollars, c and number of games played, in g
Answers
For example, if you play three games your cost will be $30 dollars.
7(3) + 9 = 30
the temperature in a town is -2.7c the temperature decreases 3c what is the new temperature
Answers
Answer:
The new temperature is -5.7 C.
Step-by-step explanation:
You just have to subtract 3 from -2.7.
-2.7 - 3 = -5.7
Why are the solutions to the proportions StartFraction 50 over x EndFraction = StartFraction 10 over 20 EndFraction and StartFraction 10 over 50 EndFraction = StartFraction 20 over x EndFraction the same? because both result in the equation 20 x = 500, which simplifies to x = 25 because both result in the equation 20 x = 500, which simplifies to x = 250 because both result in the equation 10 x = 1,000, which simplifies to x = 10 because both result in the equation 10 x = 1,000, which simplifies to x = 100
Answers
Answer:
because both result in the equation 10 x = 1,000, which simplifies to x = 100
Step-by-step explanation:
50 / x = 10/20
Cross product
50 * 20 = x * 10
1000 = 10x
x = 1000 / 10
= 100
10/50 = 20/x
Cross product
10 * x = 50 * 20
10x = 1000
x = 1000/10
= 100
The answer is :
because both result in the equation 10 x = 1,000, which simplifies to x = 100
Answer: trump 2020 MAGA
Step-by-step explanation:
hi i need to know if this is a function...
Answers
Answer:
i dont think so
Step-by-step explanation:
I’ll mark brainliest please help !
Answers
Answer:
$18.70
Step-by-step explanation:
CAN SOMEONE HELP ME PLSSS
Answers
Answer:
Step-by-step explanation:
3 is the answer
Solve this: (-8a)×(-3b)=
Answers
Answer:
24ab
Step-by-step explanation:
Take them apart:
-8*a *-3*b
-8*-3 * a*b
24 * ab
24ab
Hope this helps plz hit the crown xD
Answer:
36C
Step-by-step explanation:
Because first off multiply 8x3 which equals 36 then two negatives always make a positive and a and b next is a c so the answer is 36C
suppose that x and y vary inversely and x=1 when y=6. write a function that models the inverse variation. graph the function and find y when x=10
Answers
Answer:
Required Answer:-Table:-[tex]\boxed{\begin{array}{c|c|c|}x & 1 & 10 \\ y & 6 & ?\end{array}}[/tex]
Now come to formula[tex]\sf x \propto y [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x_1 y_2=x_2 y_1[/tex]
Substitute the values[tex]{:}\longrightarrow[/tex][tex]\sf 1×y_2=10\times6 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf y_2={\dfrac {10\times6}{1}}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf y_2=60 [/tex]
[tex]\therefore[/tex][tex]{\underline{\boxed{\bf y_2=60}}}[/tex]
3. Find the measure of the smallest
angle. Explain.
(8x - 2)
(7x + 7)
(5x - 5)
Answers
(8(2)-2)=14
(7(2)+7)= 21
(5(2)-5)=5
so the smallest would be the third one
2.) Helen is considering two different moving services. Service A charges a $15 monthly fee for unlimited streaming of movies and $2.50 per DVD rental. Service B charges a $12 monthly fee for unlimited streaming of movies and $3.50 per DVD rental. The system of equations below describes the relationship between the number of DVDs rented per month (x) and the monthly cost (y), in dollars for both services.
y = 15.00 + 2.50x AND y = 12.00 + 3.50x Which statement about the costs of the movie services is true?
A. When Helen rents fewer than 3 DVD's per month, service A will cost less per month than service B will cost.
B. When Helen rents more than 3 DVDs per month, service B will $12 more per month than service A will cost.
C. When Helen rents 3 DVDs per month, either service will cost her $22.50 per month. D. When Helen rents 6 DVDs per month, either service will cost her $27.00 per month.
Answers
Answer:
C. When Helen rents 3 DVDs per month, either service will cost her $22.50 per month.
Step-by-step explanation:
y = 15.00 + 2.50x
y = 12.00 + 3.50x
When x = 2
y = 15.00 + 2.50x
= 15.00 + 2.50(2)
= 15.00 + 5.00
= 20.000
y = 12.00 + 3.50x
= 12.00 + 3.50(2)
= 12.00 + 7.00
= 20.00
When x= 4
y = 15.00 + 2.50x
=15.00 + 2.50(4)
= 15.00 + 10.00
= 25.00
y = 12.00 + 3.50x
= 12.00 + 3.50(4)
= 12.00 + 14.00
=26.00
When x = 3
y = 15.00 + 2.50x
= 15.00 + 2.50(3)
= 15.00 + 7.50
= 22.50
y = 12.00 + 3.50x
= 12.00 + 3.50(3)
= 12.00 + 10.50
= 22.50
When x = 6
y = 15.00 + 2.50x
= 15.00 + 2.50(6)
= 15.00 + 15.00
= 30.00
y = 12.00 + 3.50x
= 12.00 + 3.50(6)
=12.00 + 21.00
= 33.00
The correct answer:
C. When Helen rents 3 DVDs per month, either service will cost her $22.50 per month.
Can you help me with this?
Answers
help me please i need
Answers
Answer:
3/4x+3-2x= −5 /4 x+3
Step-by-step explanation:
yw <3 IMAO
Find the total interest:
$930 at 4%
for 8/2 years
Answers
Answer:
297.60
Step-by-step explanation:
Answer: The answer is $148.80 in total intrest.
Step-by-step explanation: Remember, Intrest = principal x rate x time. Multiply 930, 0.04, and 8/2. The final answer is $148.80.
PLEASE HELPPPP I BEG YOUU!!!! IT IS ALGEBRA 1
Answers
Answer:
wag umasa sa brainy
Step-by-step explanation:
dahil sa brainy nagiging tamad Ang tao
kailangan ikaw Ang mag sagot
On a field trip, there are 8 adults and 24 students. What is the ratio of students to the total number of people on the field trip? 8 to 24 1 to 4 32 to 24 3 to 4
Answers
Answer:
1/4!
Step-by-step explanation:
8 + 24=32
32 ÷ 8 = 4
8x4=32
There is only one 8 so it would be 1/4
Hope this made sense :)
Answer:
The ration is 24:32, or 3:4
Step-by-step explanation:
I know you don't care about an explanation, and just want the answer, but I'll still explain it.
The total people on the trip are the number of kids+the number of adults. We get 32.
Now, the number of kids on the trip is 24 right? The ratio right now is 24:32. We can simplify this dividing the entire thing by 8, so the number isn't as big. Once we do that, we see that our answer is 3:4
Hope it helped
Have a great day
What is the rate of change of the function?
-3
-1/3
1/3
3
I will mark as Brainlist Please hurry!!
Answers
Answer:
3
Step-by-step explanation:
rise/run is how you find the slope and the slope is the ROC
4x-3y=9
x-3y=6 solve the following systems of equations by graphing
Answers
The solution of the systems of equations is (1, -1,667).
What is a system of equations?A set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought
Given that, a system of equations, we need to solve them graphically,
The equation are =
4x-3y = 9....(i)
x-3y = 6....(ii)
To solve by graphically, we will first plot the graph,
Finding the coordinates for same,
Equation (i)
4x-3y = 9
Put x = 0,
y = -3
a) (0, -3)
Put x = 3,
y = 1
b) (3, 1)
Equation (ii)
x-3y = 6
Put x = 0,
y = -2
c) (0, -2)
Put x = 3,
y = -1
d) (3, -1)
Therefore, we get the coordinates of the equations, now when we plot the graph, both the lines will intersect at a point and that point will be the solution of the systems of equations,
The lines are intersecting at (1, -1,667).
Hence, the solution of the systems of equations is (1, -1,667).
Learn more about systems of equations, click;
https://brainly.com/question/90105
#SPJ1
solve for n
5m+11n equals d
Answers
Answer:
n = d/11 - 5m/11
Step-by-step explanation:
Subtract 5m from both sides.
( 11n = d-5m )
divide each term by 11 then simplify.
which equation represents a line which is parallel to the line y=-2/3x-1
Answers
Answer:
Step-by-step explanation:
The first step is to get the given equation to look like the answers provided.
y = - 2/3 x - 1 multiply by 3
3y = -2x - 3 add 2x to both sides
3y +2x = - 3
Only the answer on the lower left looks the left side of the above equation.
2x + 3y = - 24 is your answer.
What is 15% of 82?
PLEASE HELP ME IT I DON'T KNOW IT
Answers
Answer: the answer is 12.3
Step-by-step explanation:
Just do 15/100(82)
You have $84.25. You earn additional money by mowing lawns. Then you purchase a new pair of
shoes for $75.49 and have $63.76 left. How much money do you earn mowing, m, lawns? Write
an equation, then solve.
Answers
please help... i'm dying. the table shows the number of calories jane burns while exercising. How many calories would she burn for 29 minutes. Explain.
Answers
14) What does a correlation coefficient of r = -0.01 imply about the graph
of a data set? Select all that apply.
Generally, the slope is positive.
Generally, the slope is negative.
A linear model is a good fit for the data.
A linear model is not a good fit for the data
Answers
Answer:
Step-by-step explanation:
a generally is postive
c a linear model is a good fit
Estimate 6 1/5 - 2 7/13
Answers
Answer:
4
Step-by-step explanation
Please help me, I don't understand
Answers
Answer:
hope this helps, happy learning!!!
Which of the following functions represents the graph on
the left? (Hint: Plug in your x values from the previous
slide. Do they produce f(x)=0?)
O f(x) = (x-6)(x+2)
O f(x) = (x+6) (x - 2)
Answers
9514 1404 393
Answer:
f(x) = (x -6)(x +2)
Step-by-step explanation:
The graph shows the x-intercepts are -2 and +6. The factors will be binomials such that these values make the factors zero: (x +2) and (x -6).
f(x) = (x -6)(x +2)