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3 years ago

write the point slope form of the equation of the line that passes through the points (-3,5) and (-1,4)

Mathematics

1 answer:

Lynna [10]3 years ago

4 0

Answer:

x+2y-7

Step-by-step explanation:

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

=4-5/-1+3

=-1/2

we have, point slope form of an eqn is

y-y1=m (x-x1)

or, y-5=-1/2 (x+3)

or, 2y-10=-x-3

or, x+2y-7=0 is the required eqn

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Which sequence is geometric and has 1/4 as its fifth term and 1/2 as the common ratio?

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What is the solution to the given system of equations. y = 4x - 3 y = -X- 13

san4es73 [151]

Y = 4x - 3
y = -x - 13
Since both equations equal y, we will just substitute both equations to equal each other.
4x - 3 = -x - 13
+x on both sides
5x - 3 = -13
+3 on both sides
5x = -10
/5 on both sides
x = -2

Substitute x = -2 into one of the equations.
y = -x - 13
y = -(-2) - 13
y = 2 - 13
y = -11

To check answer, plug in both x and y values into one of the equations.
y = -x -13
-11 = -(-2) - 13
-11 = 2 - 13
-11 = -11

Answer:
x = -2
y = -11

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If you invest $1250 in an account that earns 6% compounded quarterly, the amount you will have in the account, S(x), after x yea

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well, we know what S(x) is, since it's given, so, after , is simply a matter of x = 2,4,6,8,10, so

$\begin{array}{llrll} S(2)=1250(1.015)^{4(2)}&\implies &S(2)\approx 1408.12\\ S(4)=1250(1.015)^{4(4)}&\implies &S(4)\approx 1586.23\\ S(6)=1250(1.015)^{4(6)}&\implies &S(6)\approx 1786.88\\ S(8)=1250(1.015)^{4(8)}&\implies &S(8)\approx 2012.91\\ S(10)=1250(1.015)^{4(10)}&\implies &S(10)\approx 2267.52 \end{array}$

well, the tell-tale for Growth or Decay is the parenthesized term, namely the "rate of change", if it's greater than 1 is Growth, if it's less than 1 is Decay, in this case is greater than 1, is 1.015, so well, you know.

from 4 years to 10 years, how much more in interest?

well, first off let's take off the Principal of 1250 to see how much is in interest, hmmm for 4 years that'll be 336.23 and for 10 years that'll be 1017.52, so their difference is about 681.29.

what does the S-intercept mean? Check the picture below.

when the graph touches the y-axis or S-axis if you wish, the time is 0 and the amount is, well, you can see it there.

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