Answer:
5x − 4 = 3x + 8
5x - 4 <em>+ 4</em> = 3x + 8 <em>+ 4</em>
5x = 3x + 12
5x <em>- 3x</em> = 3x + 12 <em>- 3x</em>
2x = 12
2x <em>/ 2</em> = 12 <em>/ 2</em>
x = 6
Answer:
C.

.
Step-by-step explanation:
Let r represent the cost of one packet of radish seeds and let t represent the cost of one packet of tomato seeds.
Roman spent $62.75
This implies that,

Roman bought 32 packets of seeds and one packet of radish seeds costs
$ 1.75.
One packet of tomato seeds costs $ 2.50.
This implies that,

Using guess and check means we substitute into the given equation.
A) We substitute

into both equations.



Both equations are not satisfied.
B)
We substitute

into both equations.



Both equations are not satisfied.
C)
We substitute

into both equations.



Both equations are satisfied.
Hence the solution is,

D) We substitute

into both equations.



Both equations are not satisfied.
Answer: (f·g)(x) = -5x³ - 31x² + 62x + 18
(f·g)(-1) = -70
(fog)(x) = 25x² - 130x + 155
(fog)(-1) = 310
<u>Step-by-step explanation:</u>
f(x) = x² + 8x + 2 g(x) = -5x + 9
(f·g)(x) = (x² + 8x + 2)(-5x + 9)
= -5x³ + 9x²
- 40x² + 72x
<u> - 10x + 18</u>
= -5x³ - 31x² + 62x + 18
(f·g)(-1)= -5(-1)³ - 31(-1)² + 62(-1) + 18
= -5(-1) - 31(1) - 62 + 18
= 5 - 31 - 62 + 18
= -70
****************************************************************************************
(fog)(x) = (-5x + 9)² + 8(-5x + 9) + 2
= 25x² - 90x + 81
- 40x + 72
<u> + 2</u>
= 25x² - 130x + 155
(fog)(-1) = 25(-1)² - 130(-1) + 155
= 25 + 130 + 155
= 310
<em>It wasn't clear if you wanted multiplication or composition so I solved both.</em>
Answer:
Not the smartest person, but the graph shows that they're pointing down!
Step-by-step explanation:
You can use the quadratic equation to solve this once you have this set equal to zero. The answers would be roughly 9.6 and -0.6.