<h3><u>x > -4 is the solution to this inequality.</u></h3>
30 > -6(2x + 3)
Distributive property.
30 > -12x - 18
Add 18 to both sides.
48 > -12x
Divide both sides by -12.
(Because we're dividing by a negative, the inequality sign flips.)
<h3><u>4- < x</u></h3>
Answer:
Th rule here is that every week he works 6 more hours and in those six hours he adds $54 to the original price
Step-by-step explanation:
Answer for question B:
324
Answer:
Jake
Step-by-step explanation:
The average rate of change is distance divided by time. You want both of their rates in feet per second. 60 feet divided by 10 seconds is 6 feet per second. 25 feet divided by 5 seconds is 5 feet per second. 6>5
No, 1/2=0.5
This is because half of one is 0.5, since 0.5 x 2 = 1.
0.1 written as a fraction would be 1/10, since 0.1 x 10 = 1.
0.2 written as a fraction would be 1/5, since 0.2 x 5 = 2
Answer:
4x+5y-34=0
Step-by-step explanation:
The slope-intercept form of a line is y=mx+b where m is the slope and b is the y-intercept.
My goal is to put in in this form first. Then I will aim to put it in general form, ax+by+c=0.
So let's give it a go:
m is the change of y over the change of x.
To compute this I'm going to line my points up and subtract vertically, then put 2nd difference over 1st difference. Like this:
( 1 , 6)
-(6 , 2)
----------
-5 4
So the slope is 4/-5 or -4/5.
So m=-4/5.
Now we are going to find b given y=mx+b and m=-4/5 and we have a point (x,y)=(1,6) [didn't matter what point you chose here].
6=-4/5 (1)+b
6=-4/5 +b
Add 4/5 on both sides:
6+4/5=b
30/5+4/5=b
34/5=b
So the y-intercept is 34/5.
The equation in slope-intercept form is:
y=-4/5 x + 34/5.
In general form, it is sometimes the goal to make all of your coefficients integers so let's do that. To get rid of the fractions, I'm going to multiply both sides by 5. This clears the 5's that were on bottom since 5/5=1.
5y=-4x+34
Now add 4x on both sides:
4x+5y=34 This is standard form.
Subtract 34 on both sides:
4x+5y-34=0
