Answer:
f(x) = 4x² - 40x + 84
Step-by-step explanation:
4(x - 7)(x - 3) = 0
4(x² - 3x - 7x + 21) = 0
4(x² - 10x + 21) = 0
4x² - 40x + 84 = 0
Answer:
The mold will cover half the area as much are one day before it.
Step-by-step explanation:
Given:
Every day the mold on bread grows doubles
And by 8th day entire bread covered with it.
To Find:
When was half the bread covered by mold.
Solution:
It is said that area covered by mold doubles on each day
Total days taken to cover entire bread are 8
Let Area of bread be A
So Area covered (A) corresponds to 8 days with doubling.
So on previous day it should What ever area on 8th day/2
i.e A(8)/2
Similar on 6th day A(7)/2
So on 5ht day =A(6)/2 ,4th= A(5)/2, on 3rd= A(4)/2, on 2nd=A(3)/2
On 1st =A(2)/2
So we required Area= half of total.
<em>One day before the 8th day will be 7th day</em>
<em>on that day it will cover half are so that on next day will cover the double of the previous area consumed.</em>
Answer:
- there are 4 complex solutions
- 3 real zeros and 2 complex zeros
Step-by-step explanation:
1. Descarte's rule of signs tells you there are 0 positive real roots and 0 or 2 negative real roots. (for positive x, signs are ++++ so have no changes; for negative x, signs are ++-+, so have 2 changes.) A graph shows no real roots.
2. There are 3 sign changes in the given polynomial, so 3 or 1 positive real roots. When the sign of x is changed, there are 2 sign changes, so 0 or 2 negative real roots. A graph shows 2 negative and one positive real root (for a total of 3), so the remaining 2 roots are complex.
Answer:
x = 1/2
y = 24
Step-by-step explanation:
y = 12 / x
y = 6 / x²
12 / x = 6 / x²
x² / x = 6 / 12
x = 1 / 2
y = 12 / x
y = 12 / (1/2)
y = 24
a. The constant of proportionality is k = 2
b. If Micah saves $150, his parents will give him $300
<h2>
Explanation:</h2>
<h3>PART A.</h3>
From mathematics, we know that
varies directly as
or
is directly proportional to
if and only if:
for some nonzero constant
.
Here we know some facts:
- For every $5 that Micah saves, his parents give him $10.
In other words:
Let y be the money his parents give him.
Let x be the money that Micah saves.

So,<em> the constant of proportionality is k = 2</em>
<h3>
PART B.</h3>
In this case, we know that Micah saves $150. So we need to find the amount of his parents will give him. So what we know here is the value of x, because x represents the amount of money Micah saves. Therefore, by knowing x and k, we can calculate the value of y, which is the amount of money his parents will give him. Hence:

Finally, <em>if Micah saves $150, his parents will give him 300$</em>
<h2>Learn more:</h2>
Cost of pizzas: brainly.com/question/12878495
#LearnWithBrainly