it is hard to know exactly by eye balling the graph I can't dissern the y intercept it might be 4.5 but it could be 4.33, but it looks for sure like the x intercept equals 6 but does it

the dots on the line are at (-2, -6) and (2, 3) so we can find the slope m

in the y = mx + b line equation b is the y intercept

m = Δy/Δx = (y1 - y2) / (x1 - x2)

= (-6 - -3) / (-2 - 2)

= -3 / -4

m = 3/4

y = 3x/4 + y intercept which i can't dissern (read directly from the

graph, but we believe y = 0 when x is six

0 = 3(6)/4 + y intercept

-18/4 = 18/4 -18/4 + y intercept

-9/2 = y intercept

-4.5 = y intercept

y = 3x/4 - 9/2 i think exact number means NO FRACTIONS but that is whole number so let me gaggle it What are exact numbers? Gaggle indicates exact numbers are integers example 3 ft in a yard 12 eggs in a dozen

y = 3x/4 - 9/2 multiple both sides by 4

4y = 3x - 36/2

4y = 3x - 18 <------------------ FINAL ANSWER

7 0

3 years ago

Multiply the following complex numbers: (-7+ ) and ( + i). Show all work and explain the steps you are taking in the work.

notka56 [123]

Answer:

Step-by-step explanation:

in complex number land there are two distict parts real.. the first number and imaginary.. the second number with the i

if your problem really only has a 7 and an i in it.. then it looks like below

7 * i = 7i

but..I suspect you just left out a bit of the problem.. repost .. i'll answer it again if the problem is different that what you posted already :)

8 0

2 years ago

Divide using synthetic division: (2x^4+2x^3+-12x^2+x+6)/(x+3)

kap26 [50]

Synthetic division yields

..... || 2 2 -12 1 6

-3 || -6 12 0 -3

= = = = = = = = = = = = = =

..... || 2 -4 0 1 3

which translates to

$\dfrac{2x^4+2x^3-12x^2+x+6}{x+3}=2x^3-4x^2+1+\dfrac3{x+3}$

5 0

3 years ago

The tempature is -3 degress.The temperature is expected to decrease 2.5 degress each hour until the temperature reaches -18 degr

Andrews [41]

We can set this problem up as an algebraic equation, which we can then solve to find our answer.

We start at -3. So we can start our equation with that:

$-3$

However, this doesn't represent any change in temperature, just that we start at -3. To show change, we will use the variable $x$ , where $x$ stands for the number of hours. Each hour accounts for a change of -2.5 in degrees, meaning that we must multiply our $x$ by -2.5. We can now add this term into our equation:

$-3 - 2.5x$

We are trying to find when we will reach -18 degrees, so we will set our entire equation equal to -18 and solve:

$-3 - 2.5x = -18$

$-2.5x = -15$

$x = 6$

It will take us 6 hours, or choice A.

6 0

3 years ago