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alexandr402 [8]
3 years ago
15

What is the common difference in the following arithmetic sequence

Mathematics
1 answer:
tensa zangetsu [6.8K]3 years ago
3 0

Answer: 11

Step-by-step explanation: As n goes up, ^an goes up 11 every time. If it was negative, the number would be going down as n went up.

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6(y+5) distributive property
galben [10]

Answer:

6y + 30

Step-by-step explanation:

<u>Step 1:  Distribute</u>

6(y + 5)

6y + 30

Answer:  6y + 30

4 0
3 years ago
Read 2 more answers
Graph this please due today
vaieri [72.5K]

Answer: see last picture

Step-by-step explanation:

We see that the y-intercept is 10 and the slope is -3

so when x = 0, y = 10

Graph this first point (picture 1)

Since the slope is -3, every time you go one unit to the left, you go down 3 units, so graph this second point (picture 2)

Continue this until you have no more room on the graph (picture 3)

now draw a line through the dots (picture 4)

4 0
3 years ago
The image shows a geometric representation of the function f(x)=x^2-2x-6 written in standard form. What is the function written
Degger [83]
Y=(x-1)^2-7 This is this function in vertex form
9 0
2 years ago
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Which is an equation of a line parallel to -2/3x + 1/5y = 4
IrinaVladis [17]

Answer:

y = 3.3x + 20

Step-by-step explanation:

-2/3x +1/5y = 4   y = mx + b

-2/3x + 1/5y = 4

-2/3                -2/3

1/5y = 2/3 + 4

1/5  / 2/3 = 3.3

1/5 / 4 = 20

y = 3.3x + 20

8 0
2 years ago
The mass of the particles that a river can transport is proportional to the sixth power of the speed of the river. A certain riv
kari74 [83]
The river flows at 2 miles per hour. This is the speed of the current, or the speed at which the water itself is moving.

The mass of the particles moving in river is proportional to the sixth power of 2, or 2^6 = 64 miles per hour. So, if x is the mass of the particle, then the speed is modeled by an inverse relationship x * 2^6 = k, for some constant k. 

For particles that are 15 times the usual mass, the speed of the river itself must increase for the particles to travel at the same speed as before. The mass of the particles is still proportional to the sixth power of the speed of the river, but the speed of the river can no longer be 2 miles per hour. It is some speed y, which we are solving for.

So, the key here is proportional. We can set up two proportions and cross multiply.

\dfrac{x}{2^6} =  \dfrac{15x}{y^6}  \\ (x)(y^6)=(2^6)(15x)

Cancelling our x's (because we don't need to solve for them), we have

y^6 = 15(2^6) = 15(64)=960

To solve for y, we must take the sixth root of both sides, or raise both sides to the one-sixth power.

\sqrt[6]{y^6} =  \sqrt[6]{960}

Using a calculator, we see that \sqrt[6]{960} = 3.14 \ miles \ per \ hour.
6 0
3 years ago
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