What is the equation of the line through (4, -3) and (0, -2)?

Solve the equation: (5y + 2)(y - 3) = -13(2 + y)

storchak [24]

Answer:

2i

Step-by-step explanation:

Distribute:

(5y + 2)(y - 3)

5y^2-15y+2y-6

Which can be simplified into 5y^2-13y-6

Now the equation now looks like this: 5y^2-13y-6=-13(2+y)

For -13(2+y) multiply -13 with 2+y

Which is -26-13y

5y^2-13y-6=-26-13y

Simplify:

5y^2+20

Which can be simplified into 5(y^2+4)

y^2+4=0

y^2=-4

y=2i

Hope this helps!

7 0

2 years ago

Which logarithmic graph can be used to approximate the value of y in the equation 2y = 5? (5 points) The graph of function f of

Travka [436]

Answer:

Step-by-step explanation:

Taking the base 2 log of both sides, we get:

log-base 2 of 2 + log-base 2 of y = log-base 2 of 5, or

2 + log-base 2 of y = approx. 2.3, or

log-base 2 of y = approx 2.3 - 2, or

log-base 2 of y = approx 0.3

Please, if you are given a graph or graphs, share them along with all instructions for the problem at hand. Thank you.

8 0

3 years ago

P( x) =x^3-6x^2-5x-14 What is the remainder R when the polynomial p(x) is divided by (x-7)

Igoryamba

Answer:

The remainder is zero

Step-by-step explanation:

To find the remainder we will use the long division

$\frac{x^{3}-6x^{2}-5x-14}{x-7}=x^{2}\frac{x^{2}-5x-14 }{x-7}$ ⇒(1)

$\frac{x^{2}-5x-14}{x-7}=x\frac{2x-14}{x-7}$ ⇒(2)

$\frac{2x-14}{x-7}=2$ ⇒(3)

From (1) , (2) and (3)

The quotient of the long division is $x^{2}+x+2$ and no remainder

So the remainder is zero

* If you want to check your answer Multiply the quotient by the divisor

$(x^{2}+x+2)(x-7)=x^{3}-6x^{2}-5x-14$

8 0

3 years ago

A train is traveling at a constant speed of 105 miles per hour. How many feet does it travel in 3 seconds? Remember that 1

ipn [44]

Answer:

in 3 seconds the train should travel 462 feet

Step-by-step explanation:

So, first, we convert the miles into feet.

105 x 5280 = 554400

This means the train travels 554400 feet per hour.

then, we convert the hour, into second.

Since an hour has 60 minutes, and a minute has 60 seconds, we simply multiply:

1(hour) x 60(minutes) x 60(seconds) = 3600

So the train moves 554400 feet every 3600 seconds.

To get how many feet it travels in one second, we divide this by 3600.

3600/3600 and 554400/3600

1 and 154.

For every second the train travels 154 feet.

Then we simply multiply them by 3.

3x1 and 3x154, which equals:

3 and 462.

So the train travels 462 feet every 3 seconds.

I tried to explain this as simply as I can.

I hope its all correct.

6 0

3 years ago

Pleaseeeee helppppp

IRINA_888 [86]

Answer:

(a) (6, 2)

Step-by-step explanation:

The system of equations has one of them in y= form, so it lends itself to solution by substitution.

__

Using the equation for y to substitute into the first equation, we have ...

2x -y = 10

2x -(-1/2x +5) = 10 . . . . . substitute for y

2x +1/2x -5 = 10 . . . . . eliminate parentheses

5/2x = 15 . . . . . . . . . add 5, collect terms

x = 6 . . . . . . . . . . . multiply by 2/5

Using the equation for y, we have ...

y = -1/2(6) +5 = -3 +5

y = 2

The solution is (x, y) = (6, 2).

3 0

2 years ago