X^2+3x+12
3x^2-5x-2
X^2+4x+9
Answer:
x = sqrt(433/64) - 7/8 and x = -sqrt(433/64) - 7/8 So there are two. Let me know if there's something you don't understand.
Step-by-step explanation:
First you want to get them into the form where just y is on one side.
5-y=x^2+x
-y=x^2+x-5
y = -x^2 - x + 5
y+1 = 3/4x
y = 3/4x - 1
Let me know if you don't get how I did that.
To find where they intersect you just set them equal to each other and solve for x.
-x^2 - x + 5 = 3/4x - 1
Before you go solving you are going to want to avoid multiplying and dividing. Especially dividing here. if you divide something by (x-a) you make it so a cannot be used. take 1 for instance. graphing 1 is just a horizontal line at y=1. If you divide it by (x-a) in particular lets say (x-1) if you try and solve for x=1 you get 1/0 and you can't divide by 0. If you graph it on a calculator or computer you'll see the graph doesn't exist at x=1 either.
So yeah, no multiplying or dividing. So we turn this into a quadratic.
-x^2 - x + 5 = 3/4x - 1
-x + 5 = x^2 + 3/4x - 1
5 = x^2 + 7/4x - 1
0 = x^2 + 7/4x - 6
There are a few ways to solve but I am going to complete the square. If you don't understand how to solve it let me know and I will more specifically walk through it.
(x + 7/8)^2 - 433/64 = 0
(x + 7/8)^2 = 433/64
x + 7/8 = +/- sqrt(433/64)
x = +/- sqrt(433/64) - 7/8
So there are two answers here. Positive sqrt(433/64) - 7/8 and negative sqrt(433/64) - 7/8 Or approximately 1.726 and -3.476 respectively. To check try plugging these into the original two functions y = -x^2 - x + 5 and y = 3/4x-1 and make sure they give the same answer.
Let me know again if there's something you don't get. When oing intersections though you set the two equations equal to each other and solve for x however you can.
Answer:
i think its 1.5 im not sure tho 1.5 sounds the best
Step-by-step explanation:
Answer:
2/9
Step-by-step explanation:
First, you want to make the 1 and 1/8 an improper fraction. now it should look like 1/4 divided by 9/8. There's this method I learned called "Keep, Change, Flip". Basically, you want to keep the 1/4 the way it is, change the division symbol to a multiplication symbol, and flip the 9/8 so it is now 8/9. The equation now looks like 1/4 x 8/9. The answer should be 8/36, which also equals 2/9. If you have any questions, I'll try my best to answer them. Sorry if this is too long.
The expression which is equivalent to 6 Superscript 4 times 6 cubed and posses same value as this expression is,
<h3>What is the equivalent expression?</h3>
Equivalent expressions are the expression whose result is equal to the original expression, but the way of representation is different.
The given statement for the expression is 6 Superscript 4 times 6 cubed. This expression cab be written as,
Suppose the equivalent expression of this equation is n. Thus,
The 4 power of number 6 means that the number 6 should be multiplied 4 times.
Hence, the expression which is equivalent to 6 Superscript 4 times 6 cubed and posses same value as this expression is,
Learn more about the equivalent expression here;
brainly.com/question/2972832