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
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
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
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
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
Estimate 6 1/5 - 2 7/13
Answers
Answer:
4
Step-by-step explanation
CAN SOMEONE HELP ME PLSSS
Answers
Answer:
Step-by-step explanation:
3 is the answer
I’ll mark brainliest please help !
Answers
Answer:
$18.70
Step-by-step explanation:
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
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.
help me please i need
Answers
Answer:
3/4x+3-2x= −5 /4 x+3
Step-by-step explanation:
yw <3 IMAO
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.
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
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;
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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)
hi i need to know if this is a function...
Answers
Answer:
i dont think so
Step-by-step explanation:
Find the measure of <2
Answers
Answer
37°
Step-by-step explanation:
90°-53°=37°
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
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]
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.
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
Can you help me with this?
Answers
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.
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
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:
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 answer to 10x+18 when x=5.
Answers
Answer:
48
Step-by-step explanation:
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 help me, I don't understand
Answers
Answer:
hope this helps, happy learning!!!
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:
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)