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.
A square pyramid is called like so because its base is a square.
notice this one, its base is a 0.4x0.4 square, and the triangular faces have a base of 0.4 and an altitude or height of 5.
so we can simply get the area of the base and all four triangular faces and sum them up, and that's the surface area of the pyramid.
Answer:
I think it's B.
Step-by-step explanation:
They are asking for integers greater than -3 and less than 5.
Answer:
C The car accelerated for 6 seconds and continued at a constant speed
Answer:
The probability is 1/4 or 25% chance of having haemophilia
Step-by-step explanation:
Let's take the hemophilia gene to be 'a' and normal to be 'A'. The woman has a gene for hemophilia due to inheritance from the father. She then married a normal man. Thus when we do our genotypic crossing, there is a product of XAXA, XAY, XAXa, XaY. Thus an hemophiliac male, XaY is just 1/4 probability