Step-by-step explanation:
g(x) = ax²+bx+c
g(x)=−3x²−6x+5
a = -3, b= -6, c = 5
since a <0 , the function has only maximum value.
=> g'(x) = 0
-6x -6 = 0
-6x = 6
x = -1
the maximum value => g(-1) =
-3(-1)²-6(-1)+5 = -3+6+5 = 9
the domain : {x | x € Real numbers}
the range : {y| y ≤ 9, y € Real numbers}
the function is increasing for x < -1
the function is decreasing for x > -1
Answer:
180/147
Step-by-step explanation:
We need to find the additive inverse of the given numbers.
- For finding it we may simply out -1 as multiplication in front of the terms .
<u>SOLUTION</u><u> </u><u>1</u><u> </u><u>:</u><u>-</u>
→ 3/-7 - 11/21
→ -3/7 -11/21
→ 3×-3 - 11 /21
→ -9-11/21
→ -20/21
<u>SOLUTION</u><u> </u><u>2</u><u> </u><u>:</u><u>-</u><u> </u>
→ 9/5 ÷ 7/5
→ 9/5 × 5/7
→ 9/7
→ Product of nos . = -20/21 × -9/7
→ Ans = 180/147
Answer:
200 mg sodium is in 1 oz of chips and 50 mg sodium is in 1 cup of soda.
Step-by-step explanation:
Let x mg sodium is in 1 oz of chips and and y mg is in 1 cup of soda.
∵ Bryan ate 3 oz of chips and drank 2 cups of soda for a total of 700 mg of sodium.
i.e. 3x + 2y = 700 --------(1),
Jadyn ate 1 oz of chips and drank 3 cups of soda for a total of 350 mg of sodium.
i.e. x + 3y = 350 ---------(2),
Equation (1) - 3 × equation (2),
We get,
2y - 9y = 700 - 1050
-7y = -350

From equation (1),
3x + 2(50) = 700
3x + 100 = 700
3x = 700 - 100
3x = 600

Hence, 200 mg sodium is in 1 oz of chips and 50 mg sodium is in 1 cup of soda.
Answer:
1) x=z-m
3) x=g-c
5) a=u-k
7) x=u+k
9) x=k-w+v
11) x=d+r-c
13) a=p-n+m
2) a=g+c
4) a=z/m
6) a=u/k
8) x=v+w/k
10) x=m-y-z
12) a=r-d/c
14) x=w-v/k
Step-by-step explanation: