Answer:
2.8 < x < 5.8
Step-by-step explanation:
We must apply the Triangle Inequality Theorem which states that for any triangle with sides a, b, and c:
a + b > c
b + c > a
c + a > b
Here, let's arbitrarily denote a as 4.1, b as 1.3, and c as x. So, let's plug these values into the 3 inequalities listed above:
a + b > c ⇒ 4.1 + 1.3 > x ⇒ 5.8 > x
b + c > a ⇒ 1.3 + x > 4.1 ⇒ x > 2.8
c + a > b ⇒ x + 4.1 > 1.3 ⇒ x > -2.8
Look at the last two: clearly if x is greater than 2.8 (from the second one), then it will definitely be greater than -2.8 (from the third), so we can just disregard the last inequality.
Thus, the range of possible sizes for x are:
2.8 < x < 5.8
<em>~ an aesthetics lover</em>
Pretty sure it’s y= 5 + 1.95x
I don’t think that the number of people matters because the cost doesn’t vary based on the number of people
Answer:
Hi there!
Your answer is:
f(-4) = 24
Step-by-step explanation:
F(-4) means to plug in -4 for x!
-4(-4) +8
16+8= 24
f(-4) = 24
I hope this helps!
Answer:
3.9%
Step-by-step explanation:
The formula for compound interest to apply is;
where;
A=amount at the end
P=starting amount/principal
n=number of compounding years
t=total number of years
r=interest rate expressed as a decimal
Given
P=$4200, n=2, t=4 and A=$4900 R=?
Substitute values in equation, take r=r
Divide both sides by 4200
Introduce root 8 to the left hand side, thus eliminating the power 8 in the right hand side
![\sqrt[8]{1.1667} =1+0.5r\\\\\\1.0195=1+0.5r\\\\\\1.0195-1=0.5r\\\\\\0.0195=0.5r\\\\\\\frac{0.0195}{0.5} =\frac{0.5r}{0.5} \\\\\\0.039=r](https://tex.z-dn.net/?f=%5Csqrt%5B8%5D%7B1.1667%7D%20%3D1%2B0.5r%5C%5C%5C%5C%5C%5C1.0195%3D1%2B0.5r%5C%5C%5C%5C%5C%5C1.0195-1%3D0.5r%5C%5C%5C%5C%5C%5C0.0195%3D0.5r%5C%5C%5C%5C%5C%5C%5Cfrac%7B0.0195%7D%7B0.5%7D%20%3D%5Cfrac%7B0.5r%7D%7B0.5%7D%20%5C%5C%5C%5C%5C%5C0.039%3Dr)
r=3.9%
