What is the y-intercept of the function f(x) = _2/9×+1/3

Mathematics

1 answer:

Leokris [45]3 years ago

5 0

Answer:The y intercept is (0.0.333)

Step-by-step explanation:

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The sum of 6 consecutive even numbers is 270.What is the second number in this sequence?

Finger [1]

Answer: 42

Step-by-step explanation:

Let the six consecutive even numbers be x , x+2 , x+4 ,x+6 ,x+8 ,x+10.

Then According to the question , we have

$x+(x+2)+(x+4)+(x+6)+(x+8)+(x+10)=270\\\\\Rightarrow\ x+x+2+x+4+x+6+x+8+x+10=270\\\\\Rightarrow\6x+30=270\\\\\Rightarrow\ 6x=270-30\\\\\Rightarrow\ 6x=240\\\\\Rightarrow\ x=40$

Now, the second number from the above six consecutive even numbers is x+2.

Substitute the value of x in it, we get

The second number in this sequence = $x+2=40+2=42$

3 0

3 years ago

Read 2 more answers

Please find question in photo below. I’m revising for a test I have in a few days, and I can’t figure this out. Please help!

Temka [501]

$\large{\rm{\underline{\underline{Answer:}}}}$

a) n² + 6

~Here n is the number of term. So, put n = 1,2,3,4.... to get the term.

If n = 1, first term = 1² + 6 = 7
n = 2, second term = 10
n = 3, third temm = 15
n = 4, fourth term = 22
n = 10, tenth term = 106

b) 3n²

If n = 1, first term = 3
n = 2, second term = 12
n = 3, third term = 27
n = 4, fourth term = 48
n = 10, tenth term = 300

3 0

3 years ago

Write an equation of the line that is perpendicular to 3x - 4y equals 9 + contains (-4, -5)

Inga [223]

Slope-Intercept Form: y = mx+b, with m = slope and b = y-intercept

So perpendicular lines have slopes that are negative reciprocals to each other, but firstly we need to find the slope of the original equation. The easiest method to find it is to convert this standard form into slope-intercept.

Firstly, subtract 3x on both sides of the equation: $-4y=-3x+9$