Answer:
180-115=65
<2=65
90-65=25
<3=25
65-25=40
The answer is 40
Step-by-step explanation:
1. You con solve the quadratic equation x^2+20x+100=50<span> by following the proccedure below:
2. Pass the number 50 from the right member to the left member. Then you obtain:
x^2+20x+100-50=0
</span><span> x^2+20x+50=0
</span><span>
3. Then, you must apply the quadratic equation, which is:
x=(-b±√(b^2-4ac))/2a
</span><span>x^2+20x+50=0
</span><span>
a=1
b=20
c=50
4. Therefore, when you simplify, the result is:
-10</span><span>±5</span>√2 (It is the last option).<span>
</span>
Answer:
a=-1 b=3 h=-4 k=5. Hope this helps.
Step-by-step explanation:
We need to find transformations from f(x) to g(x).
K is formula usually means vertical shift. Vertical shift are usually at right end of formula. f(x) has a vertical shift of zero, while g(x) vertical shift is 5. So our k is 5.
h represent our horizontal shift in a equation.
Our horizontal shift is opposite of the sign given.
F(x) has no hoeinzontal shift, while g(x) has x+4.
Set x+4=0


so our h is -4.
B represent our horizontal compression or stretch.
Our horizontal compression/stretch is reciprocal of our b given.
f(x) has no compression or stretch, while g(x) has 1/3x.
Set 1/3x to one.


so our b is 3.
A represents the vertical compression/ stretch. F(x) doesnt have one but G(x) does.
Since it has just a negative sign in front of it, the compression is -1 so a=-1
Answer: 2.66 hours
Step-by-step explanation:
Shawana can paint a fence in 8hours which means in one hour she can paint 1/8 of a fence.
Kevin can paint the same fence in 4 hours, so in one hour he can paint 1/4 of the fence.
Together in 1 hour they can paint 1/8 + 1/4 = 3/8
Total hours for painting is 3/8 or 2.66 hours
Answer:
Step-by-step explanation:
The GCF if 24s^3, 12s^4 and 18s is
24s^3: 2^3 * 3 s s s
12s^4: 2^2 * 3 s *s* s* s
18s: 3^2 * 2 s
3s is the GCF