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MatroZZZ [7]
3 years ago
11

I need help with this please!!

Mathematics
1 answer:
Liula [17]3 years ago
5 0

(-6,0)

Intersecting at x-axis means that the point at which it will intersect will have a x coordinate but no y coordinate.

So,In the equation,y=-3x-18

put y=0

-3x-18=0

or,3x=-18

or,x=-6

So,the point of intersection is (-6,0)

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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
2. A serving of fish contains 50.0 g protein and 4.0 g fat. If protein has a caloric
solniwko [45]

9514 1404 393

Answer:

  236 kcal

Step-by-step explanation:

  (50 g protein)(4 kcal/(g protein)) +(4 g fat)(9 kcal/(g fat)) = (200 +36) kcal

  = 236 kcal

8 0
2 years ago
The ratio of flutes to saxophone players in the school band is 6:4 if there are 50 total students how many saxophone players are
nasty-shy [4]
There are 20 saxophone players. For every 6 flutes there are 4 saxophones so if you do 6x5=30. Then you would do 4x5 and get 20. 30 flutes plus 20 saxophones = 50 total students
3 0
3 years ago
Read 2 more answers
For a fruit salad recipe, Jenna combined 3/8 cup of raisins, 7/8 cup of oranges, and 3/4 cup of apples. How many cups of fruit a
Murrr4er [49]
2 cups of fruit salad 
8 0
3 years ago
Read 2 more answers
Ty in advance god bless
damaskus [11]

Step-by-step explanation:

3/7y + 3/4x = 3/5

y = -3/4x.7/3 +3/5.7/3

y = -7/4x +7/5

so the slope is -7/4

6 0
3 years ago
Read 2 more answers
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