Hello there I hope you are having an great Day :)
1) 32780ml = 32.78
2) 37 1/2% of 24 = 9
Hopefully that helps you :)
Answer:
E
Step-by-step explanation:
2c + 7 > 0
2c > -7
c > -7/2
If c < -7/2
-2c -7 -3 > 4
-2c > 14
c < -7
if c > -7/2
2c + 7 -3 >4
2c >0
c >0
<h3>
Answer: ![a_n = 10n+30](https://tex.z-dn.net/?f=a_n%20%3D%2010n%2B30)
</h3>
n starts at 1, and n is a positive whole number (1,2,3,...)
======================================================
Explanation:
The sequence is arithmetic with first term 40 and common difference 10. Meaning we add 10 to each term to get the next one.
--------
a1 = 40 = first term
d = 10 = common difference
![a_n = a_1 + d(n-1)\\\\a_n = 40 + 10(n-1)\\\\a_n = 40 + 10n-10\\\\a_n = 10n + 30\\\\](https://tex.z-dn.net/?f=a_n%20%3D%20a_1%20%2B%20d%28n-1%29%5C%5C%5C%5Ca_n%20%3D%2040%20%2B%2010%28n-1%29%5C%5C%5C%5Ca_n%20%3D%2040%20%2B%2010n-10%5C%5C%5C%5Ca_n%20%3D%2010n%20%2B%2030%5C%5C%5C%5C)
is the general nth term of this arithmetic sequence
Plug in n = 1 and you should get ![a_1 = 40](https://tex.z-dn.net/?f=a_1%20%3D%2040)
Plug in n = 2 and you should get ![a_2 = 50](https://tex.z-dn.net/?f=a_2%20%3D%2050)
and so on
X^3-2x^2-5x+6
From the shape, you can immediately tell it’s one of the x^3 functions. Then I just put both in my calculator and looked for which one matched
Answer:
y = - 2(x + 4)² + 6
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k ) = (- 4, 6 ) , thus
y = a(x - (- 4) )² + 6 , that is
y = a(x + 4)² + 6
To find a substitute (- 2, - 2) into the equation
- 2 = a(- 2 + 4)² + 6 ( subtract 6 from both sides )
- 8 = a(2)² = 4a ( divide both sides by 4 )
- 2 = a , thus
y = - 2(x + 4)² + 6 ← equation in vertex form