Find the solution set. 9x^2+3x-2=0 separate the two values with with a comma.
Answers
Answer:
x = -2/3, 1/3
Step-by-step explanation:
Step 1: Factor
(3x + 2)(3x - 1) = 0
Step 2: Find roots
3x + 2 = 0
3x = -2
x = -2/3
3x - 1 = 0
3x = 1
x = 1/3
Answer:
Step-by-step explanation:
factor ; (3x-1)(3x+2)=0
then make both 3x-1 and 3x+2 equal to 0
(3x-1)=0 solve 3x+2=0
+ 1 +1 -2 -2
_______ _______
3x = 1 3x = -2
x =1/3 x= -2/3
check for to make sure both solutions work by plugging back into the equation
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Lim (h->0) (sqrt(25+h)-5)/h.
Solve for "z" 6=z/5.9
Answers
Hello!
The answer is:
Why?
First, we need to find the money that Jarred needs including the money that he has already saved.
So, Jarred needs $800.
If he earns $160 a week, we can find the minimum weeks he has to work in order to earn $800 following the next steps:
So, if he has to work at least 5 weeks to earn the total amount of money, it can be expressed by the following inequality:
Have a nice day!
Final answer:
Jarred has to save $800 more to buy the go-cart, that is $1,200 minus the $400 he already saved. If he earns $160 per week, the inequality representing the minimal number of weeks he has to work is: 160w >= 800. If we solve this inequality for w, we find that w must be equal or greater than 5 weeks.
Explanation:
This question is about solving inequalities. The cost of the go-cart is $1,200 and Jarred has already saved $400. That leaves him with $800 he still needs to save.
His job pays him $160 a week. Therefore, we can identify the inequality as 160w + 400 ≥ 1,200.
To determine the minimum number of weeks Jarred needs to work, we solve for w
Steps to solve:
- Subtract 400 from both sides of the equation to isolate the term with w: 160w ≥ 800.
- Divide both sides by 160 to solve for w: w ≥ 5.
- As you cannot work a fraction of a week, the minimum number of weeks he needs to work is 5.
Learn more about inequalities here:
#SPJ12
It is –2 throughout the line.
It is fraction negative 1 over 2 throughout the line.
The slope from point O to point A is one-half times the slope of the line from point A to point B. The slope from point O to point A is two times the slope of the line from point A to point B.
Answers
Answer:
The slope is fraction negative 1 over 2 throughout the line.
Step-by-step explanation:
The slope (m) of a line is computed as follows
m = (y2 - y1)/(x2 -x1)
where (x1, y1) and (x2, y2) are the coordinates of 2 points of the line. Taking, for example, points (0, 0) and (-4, 2), the slope is:
m = (2 - 0)/(-4 -0) = -1/2
Then, the slope is -1/2 throughout the line.
Answers
Here are two ways to graph it. You can decide which one seems easier to understand or easier to do:
==> Manipulate the equation into the "slope-intercept" form, where 'y' is
all alone on one side and everything else is on the other side:
3x + 2y = 6
Subtract 3x from each side: 2y = -3x + 6
Divide each side by 2 : y = -3/2 x +3
This is the form you want. Just looking at it, it tells you that the slope
of the line on the graph is (-3/2), and it crosses the y-axis at +3 .
That's enough information to draw the line.
===============================================
=> Another way:
Look at the x-axis and the y-axis on the graph paper ... without any graph drawn on it yet. Just look at the 2 axes.
With an 'x'-number and a 'y'-number, you can find any point on it. Right ?
OK. Notice that at every point on the y-axis, x = 0 . And at every point
on the x-axis, y = 0. This can be very very helpful.
Now take your equation: 3x + 2y = 6 .
You know that the graph is going to be a straight line. And it's pretty obvious that if the line isn't horizontal or vertical, then it has to cross both the x-axis and the y-axis somewhere. If you had an easy way to find the two points where it crosses the axes, you could join those 2 points and you'd have your line !
You DO have an easy way to find those points !
If x=0, then the point is on the y-axis. Take your equation, make x=0, and it'll show you where the line crosses the y-axis:
3(0) + 2y = 6 .
2y = 6 .
Divide each side by 2 : y = 3 .
There's one point on the line: (0, 3)
Now remember that if y=0 the point is on the x-axis. So take your equation
and make y=0:
3x + 2(0) = 6
3x = 6
Divide each side by 3 : x = 2
There's another point on the line, where it crosses the x-axis: (2, 0) .
Shazam ! You have the 2 points where the line crosses the x- and
y- axes. Mark each one with a little dot, put your ruler down along
them, draw a line between them, and extend it as far in each direction
as you want to. That's the graph of your equation.
(2,0) x intercept
(0,3) y intercept
Answers
Answer:
Mean: 57.7
Median: 58
Mode: 49, 57, 62, 63
Outliers: None
Step-by-step explanation:
B) x = 2 ± 2√5 / 3
C) x = -4 ± 4√5 / 6
D) x = -2 ± 2i√5 / 3
Answers