Answer:
x = 6, y = 0, m = -1
y = mx + b
0 = -1(6) + b
0 = -6 + b
6 = b
y = -1x + (6)
Step-by-step explanation:
^^^
See answer, pretty simple.
Answer: 5x+17
Step-by-step explanation:
2(x+7) + 3(x+1)
2x+14 + 3x+3
5x+17
Answer:
6745.09
Step-by-step explanation:
If we assume the nominal annual interest rate is 5%, then the future value after 6 years is ...
FV = P(1 +r/12)^(12·t)
for P = 5000, r = .05, t = 6.
Doing the arithmetic, we get ...
FV = 5000(1 +.05/12)^(12·6) ≈ 6745.09
After 6 years, the bank account will be worth 6745.09.
_____
We made a comment about the interest rate, because the annual <em>yield</em> is about 5.116%. If the <em>annual yield</em> is actually 5%, then the account value is lower: $6700.48. (Monthly compounding is irrelevant in that case, because it is already figured into the yield.)
Usually, the wording would be that the account <em>earns</em> 5% interest compounded monthly.
Answer:
Step-by-step explanation:
This is written in the standard form of a quadratic function:
where:
- ax² → quadratic term
- bx → linear term
- c → constant
You need to convert this to vertex form:
where:
To find the vertex form, you need to find the vertex. For this, use the equation for axis of symmetry, since this line passes through the vertex:
Using your original equation, identify the a, b, and c terms:
Insert the known values into the equation:
Simplify. Two negatives make a positive:
X is equal to 3 (3,y). Insert the value of x into the standard form equation and solve for y:
Simplify using PEMDAS:
The value of y is -6 (3,-6). Insert these values into the vertex form:
Insert the value of a and simplify:
:Done
Answer:
B. -50+15t>5
Step-by-step explanation:
Because the hiker climbs at a rate of 15 feet per minute, the hiker will climb 15t feet in t minutes. Therefore, -50 + 15t would represent where the hiker would be after t minutes. According to the problem, -50 + 15t is greater than 5
