We know that:
limx→0
sin(x)/x
= 1.
and
cscx = 1/sinx
so,
<span>limx→0 x/sinx = 1</span>
Answer:
for ![4x^{4} + 3x^{2} + 6x - 7\\](https://tex.z-dn.net/?f=4x%5E%7B4%7D%20%2B%203x%5E%7B2%7D%20%20%2B%206x%20-%207%5C%5C)
#1 is correct- The constant is 7
#2 is correct- The poly is in standard form
#3 is correct- the leading coefficient is 4
#4 is correct- there are 4 terms
Answer:
answer is d
Step-by-step explanation:
from question
g(x) = 2(3x) - 4 = 6x - 4
then put x = 1,2,3
so g(x) = 2,8,14
Answer:
To get 20 cups of purple paint, the table shows that we need 8 cups of blue paint and 12 cups of red paint. We can solve the problem using double (or triple) number lines.
Answer:
\large \boxed{\textbf{Bowl = 300 g; cup = 200 g}}
Step-by-step explanation:
Let b = the mass of a bowl
and c = the mass of a cup
We have two conditions:
![\begin{array}{lrcl}(1) &2b + c & = & 800\\(2) & b + 2c & = & 700\\\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Blrcl%7D%281%29%20%262b%20%2B%20c%20%20%26%20%3D%20%26%20800%5C%5C%282%29%20%26%20b%20%2B%202c%20%26%20%3D%20%26%20700%5C%5C%5Cend%7Barray%7D)
Calculations:
![\begin{array}{lrcll}(3) & 4b + 2c &= & 1600&\text{ Multiplied (1) by 2}\\& 3b & = & 900&\text{Subtracted (2) from (3)}\\(4) & b & = & \mathbf{300}&\text{Divided each side by 3}\\ & 600 + c & = & 800&\text{Substituted (4) into (2}\\ & c & = & \mathbf{200}\\\end{array}\\\text{The mass of a bowl is $\large \boxed{\textbf{300 g}}$ and that of a cup is $\large \boxed{\textbf{200 g}}$}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Blrcll%7D%283%29%20%26%204b%20%2B%202c%20%26%3D%20%20%26%201600%26%5Ctext%7B%20Multiplied%20%281%29%20by%202%7D%5C%5C%26%203b%20%26%20%3D%20%26%20900%26%5Ctext%7BSubtracted%20%282%29%20from%20%283%29%7D%5C%5C%284%29%20%26%20b%20%26%20%3D%20%26%20%5Cmathbf%7B300%7D%26%5Ctext%7BDivided%20each%20side%20by%203%7D%5C%5C%20%26%20600%20%2B%20c%20%26%20%3D%20%26%20800%26%5Ctext%7BSubstituted%20%284%29%20into%20%282%7D%5C%5C%20%26%20c%20%26%20%3D%20%26%20%5Cmathbf%7B200%7D%5C%5C%5Cend%7Barray%7D%5C%5C%5Ctext%7BThe%20mass%20of%20a%20bowl%20%20is%20%24%5Clarge%20%5Cboxed%7B%5Ctextbf%7B300%20g%7D%7D%24%20and%20that%20of%20a%20cup%20is%20%24%5Clarge%20%5Cboxed%7B%5Ctextbf%7B200%20g%7D%7D%24%7D)
Check:
![\begin{array}{rlcrl}2(300) + 200& =800 & & 300 + 2(200) & = 700\\600 + 200 & = 800& & 300 + 400 & = 700\\800 & = 800& & 700 & = 700\\\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Brlcrl%7D2%28300%29%20%2B%20200%26%20%3D800%20%26%20%26%20300%20%2B%202%28200%29%20%26%20%3D%20700%5C%5C600%20%2B%20200%20%26%20%3D%20800%26%20%26%20300%20%2B%20400%20%26%20%3D%20700%5C%5C800%20%26%20%3D%20800%26%20%26%20700%20%26%20%3D%20700%5C%5C%5Cend%7Barray%7D)
OK.