Let u = x², then we would have u² + 5u - 6 = 0
From here, we can factor it and get us (u-1)(u+6) = 0
So our solution for u is u = -6 or 1.
Now substitute u back to x².
x² = -6 or 1
x = ±√(-6) or ±√1
Since ±√(-6) is not real number, we ignore it.
Which leave us x = ±√1 = <span>±1
So our real solution is x = -1 or 1.</span>
To find out what 1 and 3/4 times 2 is, we need to find out a way to make it much more simple and then answer it.
A quick way to answer this in a few steps is to:
1.) convert the fraction into decimal.
To do this, we need to divide 100 by our denominator (the number on the bottom of a fraction). Let's try it.
100 / 4 = 25.
For every 1/4, it adds 25.
Since we have 3/4, multiply 3 by 25.
You get 75, but it is not whole.
2.) Put your quotient into decimal form by putting it as 0.## (if we divided 100 by a smaller number).
Your number for 3/4 is 0.75.
Since we have a whole number (1), put it in the single-digit place.
(#.00)
1.75 is your fraction into decimal form.
Now, we need to multiply 1.75 by 2.00.
2.00 x 1.75 = 3.5
Your product is 3.5.
I hope this helps!
The general vertex form is this:
v(x) = a (x-h)2 + k
where (h,k) is the coordinates of the of vertex.
and a indicates the widening or shrinking of the function compared to another parabolic function. If a become bigger, the graph becomes narrower. If a becomes negative, the graph is reflected over the x-axis.
Comparing f(x) = x2 with g(x) = -3(x+6)2 + 48, we have the following transformations:
The graph is reflected over the x-axis
The graph is made narrower.
The graph is shifted 6 units to the left.
The graph is shifted 48 units up.
From the choices we only have:
<span>The graph of f(x) = x2 is made narrower</span>
C
Use the formula of the Pythagorean theorem. a^2 + b^2 = c^2
a = 11.5
b = 18
11.5^2 + 18^2 = 456.25^2
Sqrt(456.25) to find c
c=21.36 in.
