Answer:
The range is [10, ∞).
Step-by-step explanation:
This is the equation of a parabola which opens upwards and has a minimum value of 10 ( because of the + 10:- the vertex is at (5, 10).
Answer:
290 + 5m = 985
Step-by-step explanation:
<u>Given information</u>:
- Initial payment = $290
- Total payment = $985
- Extra amount each month = m
- Length of rental = 5 months
From the <u>given information</u>, we can create the following <u>equation</u>:
Initial payment <u>plus</u> extra amount each month for 5 months <u>equals</u> total payment.
⇒ 290 + 5m = 985
<u>To solve the equation</u>:
Subtract 290 from both sides:
⇒ 290 + 5m - 290 = 985 - 290
⇒ 5m = 695
Divide both sides by 5:
⇒ 5m ÷ 5 = 695 ÷ 5
⇒ m = 139
Therefore, the extra amount George paid each month was $139.
Answer:
x = 6
Step-by-step explanation:
CT is a median, which means it divided AB into two equal parts so we can write the following equation:
7x + 9 = 5x + 21 transfer like terms to the same side of the equation
7x - 5x = 21 - 9 do the extraction
2x = 12 divide both sides by 2
<u>x = 6</u>
Answer:
a. 2
b. x^2 + 10x + 26
c. x^2 + 2x + 2
Step-by-step explanation:
For each part, replace x with the value you are given and simplify.
f(x) = x^2 - 2x + 2
a.
f(2) = 2^2 - 2(2) + 2 = 2
b.
f(x + 6) = (x + 6)^2 - 2(x + 6) + 2
= x^2 + 12x + 36 - 2x - 12 + 2
= x^2 + 10x + 26
c.
f(-x) = (-x)^2 - 2(-x) + 2
= x^2 + 2x + 2
Answer:
Isosceles and scalene triangles can both be obtuse.