Answer: The answer is (b) a ≤ 3 + 2j; j ≥ 14, a ≤ 35.
Step-by-step explanation: Given that Anna is no more than 3 years older than 2 times Jamie’s age. Jamie is at least 14 and Anna is at most 35. We are to select the correct combination of inequalities among the given options.
Also, 'a' and 'j' are the possible ages of Anna and Jamie respectively. Therefore, according to the given information, we can write
Thus, the correct option is (b) a ≤ 3 + 2j; j ≥ 14, a ≤ 35.
Answer:
4.69
Step-by-step explanation:
sin = opposite/hypotenuse
sin 23 = a/12
To solve for a, multiply both side by 12, so a is by itself.
12 · sin23 = a/12 · 12
12 · sin23 = a
use your calculator to find the sin of 23, which is approximately 0.390731128
Multiply by 12
0.390731128 * 12 = 4.688
Answer:
0.5
Step-by-step explanation:
Answer:
$750
Step-by-step explanation:
Larger share = $450
Smaller share : Larger share :: 2 : 3
Smaller share = (larger share x 2) / 3
= (450x2)/3
= 300
Sum= larger share + smaller share
= $450 + $300 = $750
Answer:
The vertex would be D) (-2, -32)
Step-by-step explanation:
To find the vertex , start by find the x-value. For this we can use the equation below.
x = -b/2a
In which a is the coefficient of x^2 and b is the coefficient of x.
x = -b/2a
x = -(8)/2(2)
x = -8/4
x = -2
Now that we have x, we find y by plugging -2 in for each x.
y = 2x^2 + 8x - 24
y = 2(-2)^2 + 8(-2) - 24
y = 2(4) - 16 - 24
y = 8 - 16 - 24
y = -32
