Answer:
d : 4, 1, -2.
Step-by-step explanation:
There's no need for a calculator in my opinion because we can use the rational root theorem which states that the equations of this form:

Have rational roots, than the roots are of the form: 
Rewriting the equation we have:


Answer:
B. Yes, because it passes the vertical line test.
Step-by-step explanation:
The is a function. It has a one to one correspondence
It will pass the vertical line test
Hi! I'm happy to help!
To solve this problem, we need to divide the recipe amount in 1/6 amounts. So, we will do a fraction division problem like this:
15
÷
This problem is hard to do with mixed numbers, so we need to turn 15
into an improper fraction. To do that we need to multiply 15 by 6, because that is our denominator, then add the extra
.
(15×6)+1
90+1
91
So, our improper fraction would be
, now, let's solve.
÷
It is difficult to do division problems on their own, so we can change this into an easier problem. We can do the inverse operation and turn this into multiplication. We do this by changing it to multiplication (obviously), then flip the second fraction.
×
Now, we just multiply the top by the top, and bottom by the bottom.

We could end it here, but we want a whole number, so, we simplify the number by dividing both the top and bottom by 6.

Anything over 1, is just a whole number
91.
<u>Therefore, the recipe should require 91 uses of the 1/6 cup.</u>
I hope this was helpful, keep learning! :D
Answer:
y= -2x-22.
Step-by-step explanation:
1) the slope-interception common form is y=s*x+i, where 's' and 'i' are the slope and interception, unknown numbers;
2) if x₁= -3; y₁= -16, and s=-2, then the equation of the required line can be written in the point-interception form y-y₁=s(x-x₁); ⇔ y+16= -2(x+3);
3) the required equation in slope-interception form is:
y+16= -2x-6; ⇒ y= -2x-22.
note, the provided solution is not the only and shortest way.
The number of years it would take for radium to be 5 grams is 6967 years.
<h3>After how many years will only 5 grams of radium be present?</h3>
The formula that is used to represent continuous compounding or continuous decay is:
FV = A x
x N
Where:
- A= amount
- e = 2.7182818
- N = number of years
- r = interest rate
5 = 100 x e^−0.00043 x t.
In order to determine the value of t, take the following steps:
Divide both sides by 100
5/100 = e^−0.00043 x t.
Then take the In of both sides
= 6967 years
To learn more about how to determine the number of years, please check: brainly.com/question/25760893
#SPJ1