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3 years ago

Whats the answer to that

Mathematics

2 answers:

agasfer [191]3 years ago

5 0

Answer:

slope = 4

y intercept = -4

y = 4x-4

Step-by-step explanation:

The y intercept is -4

The slope is (0,-4) and (1,0)

m = (y2-y1)/(x2-x1)

= (0--4)/(1-0)

= (0+4)/(1-0)

= 4/1

The slope intercept equation is

y= mx+b where m is the slope and b is the y intercept

y = 4x-4

Zina [86]3 years ago

4 0

The slope is 4. y-int= (0,-4).
Slope intercept: y=4x-4

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erastovalidia [21]

Answer:

Step-by-step explanation:

Count the dot

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3 years ago

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3 years ago

Use mathematical induction to prove the statement is true for all positive integers n, or show why it is false:

kondaur [170]

$\text{Proof by induction:}$
$\text{Test that the statement holds or n = 1}$

$LHS = (3 - 2)^{2} = 1$
$RHS = \frac{6 - 4}{2} = \frac{2}{2} = 1 = LHS$
$\text{Thus, the statement holds for the base case.}$

$\text{Assume the statement holds for some arbitrary term, n= k}$
$1^{2} + 4^{2} + 7^{2} + ... + (3k - 2)^{2} = \frac{k(6k^{2} - 3k - 1)}{2}$

$\text{Prove it is true for n = k + 1}$
$RTP: 1^{2} + 4^{2} + 7^{2} + ... + [3(k + 1) - 2]^{2} = \frac{(k + 1)[6(k + 1)^{2} - 3(k + 1) - 1]}{2} = \frac{(k + 1)[6k^{2} + 9k + 2]}{2}$

$LHS = \underbrace{1^{2} + 4^{2} + 7^{2} + ... + (3k - 2)^{2}}_{\frac{k(6k^{2} - 3k - 1)}{2}} + [3(k + 1) - 2]^{2}$
$= \frac{k(6k^{2} - 3k - 1)}{2} + [3(k + 1) - 2]^{2}$
$= \frac{k(6k^{2} - 3k - 1) + 2[3(k + 1) - 2]^{2}}{2}$
$= \frac{k(6k^{2} - 3k - 1) + 2(3k + 1)^{2}}{2}$
$= \frac{k(6k^{2} - 3k - 1) + 18k^{2} + 12k + 2}{2}$
$= \frac{k(6k^{2} - 3k - 1 + 18k + 12) + 2}{2}$
$= \frac{k(6k^{2} + 15k + 11) + 2}{}$
$= \frac{(k + 1)[6k^{2} + 9k + 2]}{2}$
$= \frac{(k + 1)[6(k + 1)^{2} - 3(k + 1) - 1]}{2}$
$= RHS$

Since it is true for n = 1, n = k, and n = k + 1, by the principles of mathematical induction, it is true for all positive values of n.

3 0

3 years ago

Solve the equation 3x - 2(x + 1) = 2x - 7

natta225 [31]

Answer:

X=5

Step-by-step explanation:

Collect like terms then move the terms. Then collect liked terms. Calculate and Chang signs

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3 years ago

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What is the value of 4x^2+5x when x=1

erastovalidia [21]

So the answer to this equation is 9
to find the answer we first need to substitute the x for 1
so the equation would be 4×1^2+5*1
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and 4+5=9

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3 years ago

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