F(x) = kx
12 = 8k
k = 12/8 = 3/2
Required equation is f(x) = 3/2 x
Answer:
Approximately 775,000.
Step-by-step explanation:
The number is almost in between 750,000 and 800,000. The number in the middle of these two is 775,000.
Marcus would need to save for 24 weeks in order to purchase a new electronic keyboard.
<h3>Define the meaning of the equation?</h3>
A mathematical assertion in which you use mathematical symbols to demonstrate that two sums are equal.
As per specified data-
- Marcus wishes to save $378 so that he can purchase a new electronic keyboard.
- Every week, he saves $15.75 from his paycheck.
Let 'x' be the number of weeks required to complete the amount.
The equation becomes.
378 = 15.75x
For the number of week required.
x = 378/15.75
x = 24
Thus, Marcus would need to save for 24 weeks in order to purchase a new electronic keyboard.
To know more about the equation, here
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To find the y-intercept, simply set the value of x equal to 0, and solve for y, or f(x).
f(x) = 0^2 - 3(0) - 40
f(x) = -40
<h3>The y-intercept is -40.</h3>
Because this is a 2nd degree polynomial, we cannot find the x-intercepts in one step, and must instead use one of a few different methods.
In this case, we're going to use the quadratic formula:
Plug in the values.
3 +/- √(-3^2 + 160) / 2
3 +/- √169 / 2
3 +/- 13 / 2
(3 + 13) / 2 = 16 / 2 = 8
(3 - 13) = -10 / 2 = -5
<h3>The x intercepts are 8, and -5.</h3>
Answer:
48
Step-by-step explanation:
10% of 480 = 10/100 × 480
= 48
