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3 years ago

Which equation in slope intercept represents the line that goes through the points (-1, -5) and (1, -1)

Mathematics

1 answer:

Svetllana [295]3 years ago

8 0

Answer:

Step-by-step explanation:

First of all, I drawed this graph and uploaded it for you...

We know that a line equation is y = ax + b and I want to know which equation goes through the points (-1, -5) and (1, -1).

Let's put these points in the algebreac expression of line to find the correct equation:

-5 = a. (-1) + b

-1 = a.(1) + b

solving this system of equation by elimination, we find 2b = -6 and b = -3.

Then, -5 = -a + (-3)

-a = -5 + 3

a = 2

Finally, our line equation is y = 2x - 3

The slope also is represented by a. So, the slope is 2.

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Jerome will be buying a used car for $11,000 in 4 years. How much money should he ask his parents for now so that, if he invests

hjlf

Answer:

$7,987.64

Step-by-step explanation:

We know,

A = Pe^(rt)

Here,

A = 11000

interest r = .08

Time t = 4

Now,

11000 = Pe^(.08 * 4)

Or, 11000 = Pe^.32

Or, 11000 / e^.32 = P

Or, 7987.6394 = P

Or, P= 7,987.64

Jerome will have to ask for $7,987.64 to his parents.

4 0

4 years ago

Someone knows how to do this?

Zarrin [17]

Answer:

Most likely B

Step-by-step explanation:

Most likely B because it starts up around 5 which is the y int of B

6 0

3 years ago

Prove the divisibility of the following numbers:

Brut [27]

Answer:

Step-by-step explanation:

To prove divisibility, we need to factor the divident such that one of its factors matches the divisor.

(I use the notation x|y to denote that x divides y)

(A)

$75^{30}|45^{45}\cdot15^{15}\\45^{45}\cdot15^{15}=3^{45}\cdot 15^{45}\cdot 15^{15}=\\=3^{45}\cdot 15^{60}=3^{45}\cdot 15^{30}\cdot 15^{30}=3^{45}\cdot (3\cdot5)^{30}\cdot 15^{30}=\\=3^{45}\cdot 3^{30}\cdot(5\cdot 15)^{30}=3^{45}\cdot 3^{30}\cdot(75)^{30}\\\implies\\75^{30}|3^{45}\cdot 3^{30}\cdot75^{30}$

(B)

$72^{63}|24^{54}\cdot 54^{24}\cdot2^{10}\\24^{54}\cdot 54^{24}\cdot2^{10}=(2^{162}\cdot 3^{54})\cdot(2^{24}\cdot 3^{72}) \cdot 2^{10}\\=2^{196}\cdot 3^{126}$

In this case, it is easier to also factor the divisor to primes:

$72^{63}=2^{189}\cdot 3^{126}$

Both of these factor must be matched in the dividend in order to prove divisibility, and that indeed turns out to be true:

$2^{189}\cdot 3^{126}|2^{196}\cdot 3^{126}\implies\\2^{189}|2^{196}\,\,\mbox{and}\,\,3^{126}|3^{126}$

6 0

3 years ago

What's the x plz help

slavikrds [6]

Answer:

The answer for x is ten

5 0

3 years ago

GREYUIT [131]

The answer is D. First, it is the segment addition postulate because the two segments make up the whole. Second, it's substitution because you are substituting EF + FG for FH.

Hope this helps!

8 0

3 years ago

Read 2 more answers