4d + 5i = 57
i = 2d - 11
4d + 5(2d - 11) = 57
4d + 10d - 55 = 57
14d = 57 + 55
14d = 112
d = 112/14
d = 8 <== Daphne's age
i = 2d - 11
i = 2(8) - 11
i = 16 - 11
i = 5 <==Isaac's age
1. The usable domain of the function is the time period from when the object was dropped (t=0) to when it hits the ground (h(t) = 0, at t=3). The appropriate choice for domain is ...
2) 0 ≤ t ≤ 3
The appropriate choice for range is the range of heights the object may have:
3) 0 ≤ h(t) ≤ 144
2. The domain is a count of people, ...
1) positive integers
The domain is an amount of money, ...
2) positive real numbers
Answer:
From the bottom of the building to the top of the ladder, it is 16 feet.
Step-by-step explanation:
Depending on what grade you are in, you might know the Pythagorean theorem, whose equation is a^2+b^2=C^2 The measurement of the leaning ladder (20ft) is the hypotenuse of the right triangle, the distance from the bottom of the ladder to the building is the leg length (12ft). With this information we know the "c" of the equation, and the "b" or "a" of the equation. If we plug in the number for the letter the equation will look like this:
12^2+b=20^2. 20 to the second power is 400, and 12 to the second power is 144. You can use the subtraction property of equality and get b^2=256. Use can use a calculator for this part. The square root of 256 is 16, which leaves the equation with b=16
1. Let's call the number of carter school: "x" and "y" the number of alternative school. Then, you have that:
- T<span>he number of charter schools is 4 less than twice the number of alternative schools.
</span> - T<span>here are 48 charter schools in the country.
2. So, you have:
x=2y-4 (i)
x=48 (ii)
3. Then, when you substitute x=48 into the equation (i), you obtain:
</span>
x=2y-4
<span> 48=2y-4
4. Now, you must clear "y, as below:
48+4=2y
2y=52
y=52/2
y=26
</span><span>
How many alternative schools are in the county?
</span><span>
The answer is: There are 26 alternative schools.</span>
