Answer:
<2 and <7
<1 and <8
Step-by-step explanation:
Answer:
Option B is correct.
The expression which is equivalent to
is; ![(n+22)(n+4)](https://tex.z-dn.net/?f=%28n%2B22%29%28n%2B4%29)
Explanation:
Given the equation:
for all values of n.
The quadratic equation in this form; ![ax^2+bx+c =0](https://tex.z-dn.net/?f=ax%5E2%2Bbx%2Bc%20%3D0)
First find two numbers that multiply to give ac and add to give b.
From the given equation;
a =1 , b = 26 and c =88
then,
the two number that multiply to give ac =88 is, 22 or 4
and they add up to give b=26 (i.e 22+4)
Now, rewrite the middle term i.e 26n with 22n and 4n , we have
![n^2+22n+4n+88=0](https://tex.z-dn.net/?f=n%5E2%2B22n%2B4n%2B88%3D0)
Now, factor the first two terms and last two terms,
![n(n+22)+4(n+22)](https://tex.z-dn.net/?f=n%28n%2B22%29%2B4%28n%2B22%29)
we see that
is common to both terms so, we have;
![(n+22)(n+4)](https://tex.z-dn.net/?f=%28n%2B22%29%28n%2B4%29)
Therefore, the expression
is equivalent to
Check:
(n+4)(n+22) =
=
[ True]
Answer:
The answer is 76.97
Step-by-step explanation:
The formula that I used
V=πr^2h
Volume = π·3.52·2 ≈ 76.96902
-18x-17=-53 /add 17 to both sides
-18x-17+17=-53+17
-18x=-36
x=(-36)/(-18)
x=2
Answer:
Point Slope intercept form:
The equation of the straight line is given by;
......[1]
where
m represents the slope of a line.
As per the given statement:
![m = -\frac{1}{2}](https://tex.z-dn.net/?f=m%20%3D%20-%5Cfrac%7B1%7D%7B2%7D)
![(x_1, y_1) = (10, -9)](https://tex.z-dn.net/?f=%28x_1%2C%20y_1%29%20%3D%20%2810%2C%20-9%29)
Substitute these given values in [1] we have;
![y-(-9) = -\frac{1}{2}(x-10)](https://tex.z-dn.net/?f=y-%28-9%29%20%3D%20-%5Cfrac%7B1%7D%7B2%7D%28x-10%29)
or
![y+9 = -\frac{1}{2}(x-10)](https://tex.z-dn.net/?f=y%2B9%20%3D%20-%5Cfrac%7B1%7D%7B2%7D%28x-10%29)
Using distributive property; ![a\cdot (b+c) = a\cdot b+ a\cdot c](https://tex.z-dn.net/?f=a%5Ccdot%20%28b%2Bc%29%20%3D%20a%5Ccdot%20b%2B%20a%5Ccdot%20c)
![y+9 = -\frac{1}{2}x + 5](https://tex.z-dn.net/?f=y%2B9%20%3D%20-%5Cfrac%7B1%7D%7B2%7Dx%20%2B%205)
Subtract 9 from both sides we get;
![y = -\frac{1}{2}x -4](https://tex.z-dn.net/?f=y%20%3D%20-%5Cfrac%7B1%7D%7B2%7Dx%20-4)
Therefore, the equation in slope intercept form(i.e y=mx+b) is, ![y = -\frac{1}{2}x -4](https://tex.z-dn.net/?f=y%20%3D%20-%5Cfrac%7B1%7D%7B2%7Dx%20-4)