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mezya [45]
3 years ago
8

A spring stretches to 22 cm with a 70 g weight attached to the end. With a 105 g weight attached, it stretches to 27 cm. Which e

quation models the distance y the spring stretches with weight x attached to it?
Mathematics
1 answer:
rosijanka [135]3 years ago
7 0
Assume that the spring behaves linearly so that
y = a + bx
where 
x = weight of the mass
y =  stretch of the spring
a,b are constants

When x = 70 g, y = 22 cm, therefore
a + 70b = 22             (1)

When x = 105g,  y = 27 cm, therefore
a + 105b = 27           (2)

Subtract (1) from (2).
a + 105b - (a + 70b) = 27 - 22
35b = 5
b = 0.1429

From (1), obtain
a = 22 - 70*0.1429 = 12

Answer:
The required equation is
y = 12 + 0.1429x

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6a+4=61/3+4<br> I don’t know what I’m doing wrong because I keep getting 10 1/3
Vlad1618 [11]

Answer:

a = 3 7/18 or 3.388889

Step-by-step explanation:

First, you want to get the a by itself, so you would subtract 4 from the left side of the equals sign.

6a + 4 = 61 / 3 + 4

    -4                   -4

6a = 61 / 3

By doing that, they cancel each other out, so you are left with

6a = 61 / 3

Then you want to get a by itself, so you divide 6 from both sides.

6a / 6 = 61 / 3  /  6

Remember that 6 can also be written as 6/1

Remember that dividing a fraction is multiplying the reciprocal.

6a / 6 = 61 / 3  /  6 / 1

When dividing fractions remember to Skip the first fraction, Flip the second fraction, and Multiply the two fractions together.

61 / 3      x        1 / 6

skip   multiply   flip

Multiply across the top, and across the bottom.

61(1) and 3(6)

Then you get

61 / 18

So a = 61 / 18

If you want to convert that to a mixed number, it would be 3  7 / 18

If you want that in a decimal, it would be 3.388889

4 0
3 years ago
F(x)=300x(4/5)^x help me please
pashok25 [27]

Answer:

The Answer is x = 0

Step-by-step explanation:

Your welcome :)

6 0
3 years ago
I Need help asap ! Please and thank you
jeka94

Answer:

all incorrect

Step-by-step explanation:

I did it in my head so I'm sorry if wrong

7 0
3 years ago
Read 2 more answers
De acuerdo con la siguiente función f(x)=-3x+8, ¿cuál es el punto de intersección de su grafica con el eje y?
Ket [755]

Answer:

El punto de intersección con el eje “y” será (0 ; 8).

Step-by-step explanation:

En este caso la función es f(x)= -3*x + 8, o lo que es lo mismo, y= -3*x + 8

Para encontrar la intersección en y, se debe sustituir a la variable x por 0 por en la función. Una vez hecha la sustitución, es posible resolver la ecuación para encontrar el valor de y.

En este caso:

y= -3*0 + 8

Resolviendo:

y= 0 + 8

y= 8

Otra forma de resolverlo es, siendo la función f(x)= m*x + b (donde m es la pendiente y b la ordenada al origen), el valor b es el punto donde una recta cruza el eje y. En este caso la ordenada al origen tiene un valor de 8.

Entonces <u><em>el punto de intersección con el eje “y” será (0 ; 8).</em></u>

4 0
3 years ago
Please help and explain how
azamat
18, 42, and 27. they were all times by 2
7 0
3 years ago
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