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This is written in slope-intercept form. Therefore the slope of this line is 3/2 and the y intercept is -1. So plot your point on the y axis @ -2 and use the slope to find your x intercept.

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5 times what is 20? 4
Ok, so 3- what equals 4? -1
k=-1

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No. 5(7)+7=?
35+7=42.
So no, 7 is not a solution

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First, multiply the two expressions together using the FOIL method: x^2+x-2x-2=4
Now set the equation equal to 0 by subtracting 4 from both sides: x^2+x-2x-6=0
Now we can do some simplifying: x^2-x-6=0

You can factor from here I think but here you go: (x-3)(x+2)
Hope this helps

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A=LW
(x)(y)=6
Perimeter=2(w)+2(L)
2(w)+2(L)=16
This one you can see can be done in your head without much work:

6x1=6
and
6(2)+1(2)=14
So our length would be 6cm and our width would be 1cm
I can't draw on here but I'm sure you can take it from here.
Hope this helps

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x^2+5x-36
So what 2 numbers added together =5 and multiplied together = -36?
9 x -4 equals -36 right? And 9+ (-4) =5 so it looks as though we've got our answer.
(x+9)(x-4)

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I would divide through this equation by my leading coefficient which is 4 so we are left with x^2+3x+2. Now we need to see what numbers times each other =2 and added together equal 3. 2x1=2 and 2+1=3 so it looks like we found this one pretty easily. Our answer would be (x+2)(X+1)
Hope this helps

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Simplify and then write in slope intercept form.
17y+4x+3=7+4x
subtracting 4 from both sides: 17y+3=7 subtracting 3 from both sides: 17y=4
dividing both sides by 17: y=4/17
Therefore, the slope is 0 and the y-intercept =4/17
This has no slope and is a straight, horizontal line that intercepts the y axis at 4/17ths
The reason the slope is 0 is because this particular line does not intercept the X axis at any point as it is simply a horizontal line

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Find a common divisor of both numbers and in this case 6 is of course divisible by 6 and 30 is also divisible by 6. So if you divide 6 by 6 we are just left with an x and if you divide -30 by 6 we are left with -5. So factored, this expression would read simply (x-5)

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You have been told wrong
6u=-24 you would divide both sides by 6 to isolate your variable
u=-4
to solve the second equation in the system you would simply replace the "u" with the value we now know "u" to be which is -4
so 24(-4)= -96

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10^ 2(times what) will equal 100.
well we know that 10^2=100 so in order for the problem to remain just 10^2 the "x" would have to equal 1. Because 2x1= 2 therefore the exponent would remain just the square thereby equaling 100
Hope this helps

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don't "factor." Instead use synthetic division
3 1 2 -5 30
3 15 30
1 5 10 60
Are you sure the problem isn't x^3+2x^2-5x-30? And are you sure you're not dividing by x+3?
Because the problem you posted has a remainder of 60. 1x^2+5x+10 R 60
But if one of the signs is wrong in what you posted, then the final number would be -30 instead of positive 30 and would leave us with no remainder.

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Isolate your variable, in this case "b"
3b-17=13-2b
add 2b to both sides
5b-17=13
no add 17 to both sides to isolate the variable
5b=30
now divide by 5 on both sides
b=6
hope this helps

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the pattern in the series seems to be multiplying the first number by consecutively higher real numbers
12 (1) 12 (1.5) 18 (2) 36 (2.5) 90 (3) 270 (3.5) 945 would be the next number
Hope this helps

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We can use "synthetic division" here. Take the expression you're dividing by and figure out what x has to equal in order to make the expression 0. In this case, x+5=0
x=-5
Now we're ready to use synthetic division.
-5 1 7 10
1 -5 -10
so our answer is 1x-2
Hope this helps

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4/5x +9=21
-9=-9
4/5x=12 Now divide both sides by 4/5
x=15

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We can use synthetic division here:
-2 5 0 -5 -10 -80
-10 +20 -30 +80
5 -10 15 -40 0
so our answer would be 5x^3-10x^2+15x-40

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you would write it as:
-3(8x+7)+9
-24x-21+9
-24x-12
Remember, for a composite function where f(g(x)), you simply compose the functions by substituting g(x) in anywhere you see an x in the "f" function.
f(x) is -3x+9 and g(x) is 8x+7. So again, for f(x): -3(insert g(x) here) +9 and then simplify.
Hope this helps

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This is written in slope intercept form. Therefor, the slope would be .15/1 and the y intercept would be 0.79
To figure out how expensive gas will be in 2018 we would need to know the year in which the equation is present so we can determine how many years after the intial year 2018 is. IS that info provided?

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94+.12(x)=130
130-94= 36
.12x=36
36/.12= 300
300 miles
Plug back in to check
300 x .12=36
36+94= 130

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16/200= .08 or 8%
Check by multiplying 200 by 8% or .08
200*.08=16

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The quadratic formula reads :
So it would be
so basically -10 +- sqrt of 100-40 which is 60/ over 2 because your leading coefficient of x^2 is actually a 1. Factor out your square root of 60 which would be 2 square root 15. So now we have -10+- Divide everything on the top by your denominator of 2 to get
The denominator of course cancels. So that's what you're left with

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This is not a question. What are you needing? The x and y intercepts?

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y=mx+b
y=5/6x+4/3 means that the slope is 5/6 and 4/3 is the y intercept
y=3/5x+9/5 means that the slope is 3/5 and the y intercept is 9/5

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to find the y intercept, you simply let x=0 and solve for Y. In this case, y would intercept at 5. To find x intercept let y=0 and solve for x. In this case, x= 5/8
hope that helps

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The discriminant is calculated from the numbers under the radical sign of the quadratic formula, that is to say the discriminant=
So for your particular problem: which should equal 119 if my calculation is correct.
Rules of discriminants and their solutions:
if b^2-4ac >0 = Two unequal real solutions
if b^2-4ac = 0 = One real solution
if b^2-4ac <0 = no real solutions or two imaginary solutions.
So in this case, obviously 119 > 0 so you have 2 real solutions!
Hope this helps!

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re-write in slope-intercept form- y=mx+b
3x-y=4
-y=-3x+4
-3x+4/-1y= y=3x-4
The slope is 3

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Because when using the addition method:
3x+4y=6
5x+2y=-4
we need to solve for y first because if we solve for x first we're going to be dealing with fractions which we want to avoid in the interest of simplicity. So what do we need to multiply the second equation by in order to set the y's to where they cancel each other? That's right, -2 because 2*-2 =-4. Now when we add the top equations 4y to the bottom equations -4y we get zero which now let's us solve for y. Don't forget to multiply the other numbers in the second equation by -2 as well. It should look like -2(5x+2y=-4) and our result would be -10x-4y=-8.

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x-y=34
x=2y
34*2=68
68-34=34
x=68 y=34

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To find the Y intercept we simply let x=0 and solve for Y.
So 3(0)+8y=48
8y=48
y=6
The Y intercept is 6

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Let's do it the long way first. We need to convert the hours to minutes. 3hr= 180 minutes. 180+30= equals 210 minutes. So now we can rewrite it as : The car travels 196 miles in 210 minutes.
Distance/Time= Velocity
196/210= 0.93 miles/min.
Now we multiply 0.93 x 60 because there are 60 minutes in a hour. That will tell us how many miles per hour the car is traveling. So 0.93333333x60= 56.0 mph

Now let's do it the short and easier way: we still use the same equation: Distance/Time= Velocity.
Only this time we will simply convert the 3 hours and 30 minutes into hours which is easy enough. 3 hours and 30 minutes= 3.5 hours obviously.
So now:
Distance(196)/Time(3.5)= 56 miles/hr.

The long way is a headache but will give you good practice at converting numbers for equations which you will have to do ALOT as you move on in mathematics education.
Hope this helps!