Answer:
x > 9/10 is the answer to the equation.
Step-by-step explanation:
3x -2(x -1) > 11-9x
3x -2x +2 > 11-9x
x+2> 11-9x
x+9x > 11-2
10x > 9
x > 9/10
We can rearrange 3x+y=9 to look more conventional by subtracting 3x from both sides and making it y= -3x+9.
Now we want to find a line that is parallel to this and goes through the point (0,-4). We know that -3 is the slope. With this in mind, if we want the other line to be parallel then it must have the same slope so that they never intersect. This gives us one of the numbers we need for the second line.
This means our second equation is looking like; y= -3x+b. This means we need to find b (the y-intercept) but we are also given a point it must go through and this is (0,-4). We simply plug this in into our new equation we need to solve and we get ; -4 = -3(0) + b . "since 0 is the x and -4 is the y" . From this we get that b= -4. This means the equation of a line parallel is:
y = -3x-4
Answer:
Part A: Option 2, A: Anna’s answer is incorrect. She correctly factored out 5x, but incorrectly identified a and b, so her answer cannot be correct.
Part B: Option 3, B: 5x(x+2)(x^2−2x+4)
Step-by-step explanation:
p(x) = 5x^4 + 40x
p(x) = 5x(x^3 + 8)
p(x) = 5x(x + 2)(x^2 - 2x + 4)
Part A: Option 2, A: Anna’s answer is incorrect. She correctly factored out 5x, but incorrectly identified a and b, so her answer cannot be correct.
Part B: Option 3, B: 5x(x+2)(x^2−2x+4)
Answer: The missing length is 40 m.
Step-by-step explanation:
30^2 + b^2 = 50^2
900 + b^2 = 2500
-900 -900
b^2 = 1600
b= 40
Answer:
1. -4
2. 6
3. -6
(i hope this is right •_•)
Step-by-step explanation:
<u>First table</u>
When the x coordinate is 0, that point is your y intercept. For the first one, your y intercept is -4.
<u>Second table</u>
For the second one, we need to do a bit of counting. We can see the x coordinates go before and after zero, but the table does not show us 0. So, we're going to have to calculate the slope. Bear with me here, I'm a little tired and this might be rambling ;-;
So, the formula for calculating slope is
. I'm going to use those first two points to get my slope. We're going to say the first point is point 1 and the second point is point 2 (genius, i know lol). So, let's substitute in the x and y values.

And simplify...

So, your slope is -1. We can use that. We just have to count down.
If the x is -2, the y is 8. If the x is -1, the y is 7. And if the x is 0....(drumroll please) the y is 6! So, your y intercept is 6.
<u>Third table</u>
Now, this table isn't very nice either and doesn't have an x as 0 for us. Hmpf. But we can still do what we did above. I'll just skip the explanation and you can observe my steps.



Let's count down....
If x = 3, y = -5
If x = 2, y = -5 1/3
If x = 1, y = -5 2/3
If x = 0, y = -6