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Marizza181 [45]
3 years ago
15

I NEED HELP!!! I DONT KNOW WHAT TO DO!

Mathematics
2 answers:
Maksim231197 [3]3 years ago
8 0

Answer:

C

Step-by-step explanation:

The first three equations work but the last one doesn't.

larisa86 [58]3 years ago
7 0

Answer:

C

Step-by-step explanation:

the equation of a line in slope-intercept form is

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ( = (2, 3) and (x₂, y₂ ) = (4, - 7)

m = \frac{-7-3}{4-2} = \frac{-10}{2} = - 5

y = - 5x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (2, 3 ), then

3 = - 10 + c ⇒ c = 3 + 10 = 13

y = - 5x + 13 ← equation in slope-intercept form (1)

Add 5x to both sides

5x + y = 13 ← equation in standard form (2)

We can also express the equation in point- slope form

y - b = m(x - a )

where (a, b ) is a point on the line → using (4, - 7), then

y + 7 = - 5(x - 4 ) ← equation in point- slope form (3)



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2,3,5,9,17,33 what are the next three terms?
stich3 [128]

The next three terms of sequence are 65, 129 and 257

<em><u>Solution:</u></em>

<em><u>Given sequence is:</u></em>

2, 3, 5, 9, 17, 33

We have to find the next three terms in sequence

<em><u>Let us find the logic used in this sequence</u></em>

2 + 2^0 = 2 + 1 = 3\\\\3 + 2^1 = 3 + 2 = 5\\\\5 + 2^2 = 5 + 4 = 9\\\\9 + 2^3 = 9 + 8 = 17\\\\17 + 2^4 = 17 + 16 = 33

Thus the sequence is increasing by 2 raised to power 0, 1, 2 and so on

<em><u>Thus the next three terms are found by:</u></em>

33 + 2^5 =33 + 32= 65\\\\65 + 2^6 = 65 + 64 = 129\\\\129 + 2^7 = 129 + 128 = 257

Thus the next three terms of sequence are 65, 129 and 257

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