Answer:
a) f(x) = 5x - 3
b) f(x) = 23x + 12
Step-by-step explanation:
Simply replace the variable y with f(x)
Answer:
4/9
or
0.4
Step-by-step explanation:
A rational number is an algebraic term expressed as a fraction. The fraction can also be in decimals but only if the decimal places are not repeating or not infinitely long. If they aren't, then these are called irrational numbers.
Let's try each of the choices:
A. The term 2/4 is a rational number. Now, when 0.3 or 3/10 is added to it, the sum would be 4/5 or 0.8. This is a rational number.
B. √7 is an irrational number because its exact value is 2.645751311.... Even if you add 0.3 to it, the answer would still be irrational
C. Obviously, this is an irrational number
D. The exact value of π is <span>3.14159...... If 0.3 is added to it, the answer would be 3.441592654. This is irrational.
Therefore, the answer is A.</span>
At heart we're being asked for a line through two points,
In general the line through (a,b) and (c,d) is
Check that you understand why both (a,b) and (c,d) are on this line.
Here our indepedent variable, instead of x, is T, temperature. Our dependent variable is v, velocity. Substituting,
That's our answer; let's check it.
When T=40, v = (5/9)40 + (2995/9) = 355 good
When T=49, v= (5/9)49 + (2995/9) = 360 good
The annual interest that can be earned through investment of an amount at a simple interest can be calculated through the equation,
I = P x (i)
where I is interest, P is the principal amount, and i is the decimal equivalent of the interest.
Let x be the amount deposited with 3.5% interest. With this representation, the amount deposited with 5.5% is 5800 - x.
The linear equation that would represent the given scenario is,
x(0.035) + (5800 - x)(0.055) = 283
Simplifying the equation,
0.035x + 319 - 0.055x = 283
Combining like terms,
-0.02x = -36
Dividing by -0.02,
x = 1800
$5800 - x = $5800 - $1800 = y
y = $4000
Hence, the value that should be deposited to the 5.5% is $40000.
