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3 years ago

What is the slope of the line y =-3x + 7?

Mathematics

1 answer:

VashaNatasha [74]3 years ago

3 0

Answer:

Step-by-step explanation:

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What is the nth term rule of the quadratic sequence below?<br> 8,14,22,32 ,44, 58, 74...

DanielleElmas [232]

Answer:

y=n^2+3n+4

Step-by-step explanation:

Sequence,S: 8,14,22,32 ,44, 58, 74...

First differences of S: 6,8,10,12,14,16,...

Second differences of S: 2,2,2,2,2,2,....

It is indeed a quadratic since the 1st differences that are the same are the second differences.

So the 1st term is 8. If the 0th term was listes it would be 4 since 8-4=4 and 6-4=2.

This means our quadratic it is in the form

y=an^2+bn+c where c=4.

So we have y=an^2+bn+4.

Now we can find a and b using two points from our sequence to form a system of equations to solve.

(1,8) gives us 8=a(1)^2+b(1)+4

Simplifying gives 8=a+b+4

Subtracting 4 on both sides gives: 4=a+b

(2,14) gives us 14=a(2)^2+b(2)+4

Simplifying gives 14=4a+2b+4

Subtracting 4 on both sides gives 10=4a+2b

So we have the following system to solve:

4=a+b

10=4a+2b

I'm going to solve using elimination/linear combination style.

Dividing second equation by 2 gives the system as:

4=a+b

5=2a+b

Subtract the 2nd equation from the first gives:

-1=-1a

This implies a=1 since -1=-1(1) is true.

If a+b=4 and a=1, then b=3. Because 3+1=4.

So the equation is y=1n^2+3n+4 or y=n^2+3n+4.

8 0

3 years ago

2nd question this is still confusing even after getting the formula

Nana76 [90]

Check the picture below.

so the figure is really just 3 rectangles and two triangles.

simply get the area of all 5, sum them up, and that's the area of the figure.

recall that area of a triangle A = ½bh.

3 0

3 years ago

Jane paid $35 for her meal. If the cost of the meal was $30, what was the tax rate.

uranmaximum [27]

Answer:

15% tax

Step-by-step explanation:

7 0

3 years ago

I WILL MARK AS BRAINLIST The quantities x and y are proportional Find the constant of proportionality (r) in the equation y=rx

tekilochka [14]

Answer:

$\frac{1}{2}$

Step-by-step explanation:

Given that x and y are proportional and the equation relating them is

y = rx ← r is the constant of proportionality

To find r use any ordered pair from the table

Using x = 9, y = 4.5 , then

4.5 = 9r ( divide both sides by 9 )

$\frac{4.5}{9}$ = r , that is

r = $\frac{1}{2}$

7 0

3 years ago

Read 2 more answers

Pls help me with this problem!!!!

kolbaska11 [484]

Answer: 55°

Step-by-step explanation:

∠YAZ + ∠YAX = 180° because they are linear pairs

∠YAZ + ∠YAX = 180°

∠YAZ + 125 = 180

Subtract both sides by 125

∠YAZ = 55°

Hope that helped!

8 0

3 years ago