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2 years ago

Y intercept (3,1) and (-4,-6)?

Mathematics

1 answer:

lana [24]2 years ago

3 0

Answer:

y-intercept: (0, -2)

Step-by-step explanation:

Determine by how much x (the run) and y (the rise) change as you go from (-4, -6) to (3, 1): The change in x is 7 and that in y is also 7. Thus, the slope is

m = 7/7, or m = 1.

Using the point-slope form and the point (3, 1), we get:

y - 1 = 1(x - 3), or y = 1 + x - 3, or y = x - 2

Comparing this to y = mx + b, we see that the y-intercept is -2.

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How to solve-2(p+-8)+-2=6

natka813 [3]

Answer:

p=4

Step-by-step explanation:

first change all the addition signs in to minus if the numbers are negative. ex. p+-8 = p-8.

So the equation equals to -2(p-8)-2=6.

Next +2 to both sides to cancel out the -2 and you get -2(p-8)=8

Divide both sides by -2 and you get (p-8)=-4. At this point you can remove the parenthesis. So the equation is p-8=-4

Finally +8 to both sides and you get p=4

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2 years ago

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How much money should a student place in a time deposit in a bank that pays 1.1% compounded annually so that he will have Php 20

STatiana [176]

Let us say that:<span>
P = present value
F = future value
i = interest rate
n = period

P = F / [ (1 + i ) ^n ]
P = 200000 / [ (1 + 0.011) ^6 ]
P = 187293.65

<span>Therefore the student must put up Php 187,293.65</span></span>

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2 years ago

Find the slope of the line

torisob [31]

I think the slope is -1

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2 years ago

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Which pair of expressions represents inverse functions

Natali5045456 [20]

Answer: C. $\dfrac{x+3}{4x-2}$ and $\dfrac{2x+3}{4x-1}$

Step-by-step explanation: if a function f(x) has g(x) as its inverse then it satisfies fog(x)=x and gof(x)=x

C. f(x)= $\dfrac{x+3}{4x-2}$ and g(x)= $\dfrac{2x+3}{4x-1}$

fog(x)=f( $\dfrac{2x+3}{4x-1}$ )

= $\dfrac{\dfrac{2x+3}{4x-1}+3 }{\dfrac{4(2x+3)}{4x-1}-2 }$

gof(x)=g( $\dfrac{x+3}{4x-2}$ )

= $\dfrac{\dfrac{2(x+3)}{4x-2} +3}{\dfrac{4(x+3)}{4x-2}-1 }$

hence C. is the pair of inverse functions

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2 years ago

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A population has the following characteristics. (a) A total of 75% of the population survives the first year. Of that 75%, 25% s

Artemon [7]

Answer:

$= \left[\begin{array}{ccc}1344\\84\\28\end{array}\right] \left \begin{array}{ccc}{0 \ \leq age \leq 1 }\\{ 1 \ \leq age \leq 2 }\\{2 \ \leq age \leq 3}\end{array}\right$

i.e after the first year ;

there 1344 members in the first age class

84 members for the second age class; and

28 members for the third age class

Step-by-step explanation:

We can deduce that the age distribution vector x represents the number of population members for each age class; Given that in each class of age there are 112 members present.

The current age distribution vector is as follows:

$x = \left[\begin{array}{ccc}1&1&2\\1&1&2\\1&1&2\end{array}\right] \left[\begin{array}{ccc}{0 \ \leq age \leq 1 }\\{ 0 \ \leq age \leq 2 }\\{0 \ \leq age \leq 3}\end{array}\right]$

Also , the age transition matrix is as follows:

$L = \left[\begin{array}{ccc}3&6&3\\0.75&0&0 \\0&0.25&0\end{array}\right]$

After 1 year ; the age distribution vector will be :

$x_2 =Lx_1 = \left[\begin{array}{ccc}3&6&3\\0.75&0&0 \\0&0.25&0\end{array}\right] \left[\begin{array}{ccc}1&1&2\\1&1&2\\1&1&2\end{array}\right]$

$= \left[\begin{array}{ccc}1344\\84\\28\end{array}\right] \left \begin{array}{ccc}{0 \ \leq age \leq 1 }\\{ 1 \ \leq age \leq 2 }\\{2 \ \leq age \leq 3}\end{array}\right$

6 0

2 years ago

Y intercept (3,1) and (-4,-6)?​

Y intercept (3,1) and (-4,-6)?