Distribute
-5a+30+2a
And then combine like terms
-3a+30
3/5 * 230 = 138 votes for Nyemi
3/10 * 230 = 69 votes for Luke
1/10 * 230 = 23 votes for Natalie
***************** DOUBLE-CHECK ****************
138 + 69 + 23 = 230 Correct!!
The phrase "up to" means less than or equal to since John cannot send more than 250 messages.
Answer:
122,850 yd³
Step-by-step explanation:
The polyhedron is a right triangle prism
Area of the right triangle prism = ½*a*c*h
a = 91 yd
c = 60 yd
h = 45 yd
Volume = ½*91*60*45
= 122,850 yd³
The values of a and b are -3 and -1 respectively
x³ + ax ²+ bx + 6 has (x - 2) as a factor. Therefore,
(2)³ + a2²+ 2b + 6 = 0
8 + 4a + 2b + 6 = 0
4a + 2b = -14
x³ + ax ²+ bx + 6 leaves a remainder 3 when divided by (x - 3). Therefore,
(3)³ + a3²+ 3b + 6 = 3
27 + 9a + 3b + 6 = 3
9a + 3b = 3 - 33
9a + 3b = -30
<h3>Simultaneous equation:</h3>
4a + 2b = -14
9a + 3b = -30
2b = -14 -4a
b = -7 - 2a
Therefore,
9a + 3( -7 - 2a) = -30
9a - 21 - 6a = -30
3a = -30 + 21
3a = -9
a = -9 / 3
a = -3
4a + 2b = -14
4(-3) + 2b = -14
-12 + 2b = -14
2b = -14 + 12
2b = -2
b = -2 / 2
b = -1
learn more on factors here:brainly.com/question/23689213?referrer=searchResults
