Answer:
B. x-intercept: -6, y-intercept: -4
Step-by-step explanation:
2x + 3y = -12
x-intercept when y = 0
2x = - 12
x = -6
y-intercept when x = 0
3y = -12
y = -4
Answer:
- 4.5, - 0.5, 0.7, 2.3, 3.0
Answer:
30
Step-by-step explanation:
Let P be the number of kids,
we know P>57
take 1-(1/2)-(1/5)=3/10
therefore 57 is 3/10P
3/7P=57
P=57*7/3=133 is the answer
it would be incorrect if we didnt get a positive integer.
d = 3 , a₁₂ = 40 and S
= 7775
In an arithmetic sequence the nth term and sum to n terms are
<h3>• a
![n](https://tex.z-dn.net/?f=n)
= a₁ + (n-1)d</h3><h3>• S
![_n](https://tex.z-dn.net/?f=_n)
=
![\frac{n}{2}](https://tex.z-dn.net/?f=%5Cfrac%7Bn%7D%7B2%7D)
[2a + (n-1)d]</h3><h3>
where d is the common difference</h3><h3>a₆ = a₁ + 5d = 22 ⇒ 7 + 5d = 22 ⇒ 5d = 15 ⇔ d = 3</h3><h3>a₁₂ = 7 + 11d = 7 +( 11× 3) = 7 + 33 = 40</h3><h3>S₁₀₀ =
![\frac{50}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B50%7D%7B2%7D)
[(2×7) +(99×3)</h3><h3> = 25(14 + 297) = 25(311)= 7775</h3>