Can you explain this algebraically (even if you also give a graphed explanation)?

Can you explain this algebraically (even if you also give a graphed explanation)?

Radioactive substances decay over time. the mass M, in grams, of a particular radioactive substance d days after the beginning of an experiment is shown in the table below:

Number of days, d Mas, M (grams)
0 120.00
30 103.21
60 88.78
90 76.36

If this relationship is modeled by the function M(d) = a • 10^bd, which of the following could be the values of a and b?

A) a = 12 and b = 0.0145

B) a = 12 and b = -0.0145

C) a = 120 and b = 0.0022

D) a = 120 and b = -0.0022

College Board Test 4, Math 4 #25 (the explanation link that you previously made does not work)

College Board Test 4, Math 4 #25 (the explanation link that you previously made does not work):

f(x) = 2x^3 + 6 x^2 + 4x
g(x) = x^2 + 3x + 2

The polynomials f(x) and g(x) are defined above. Which of the following polynomials is divisible by 2x + 3?

A) h(x) = f(x) + g(x)

B) p(x) = f(x) + 3 g(x)

C) r(x) = 2 f(x) + 3 g(x)

D) s(x) = 3 f(x) + 2 g(x)

On SAT Practice Test 8, I got marked incorrect on Question 7 of the Math No-Calculator section.

On SAT Practice Test 8, I got marked incorrect on Question 7 of the Math No-Calculator section. This is because I said -1 is a valid solution when it isn’t supposed to be. However, if you plug in -1 into the original equation, and say that the square root of 4 is -2, the solution remains true.

So my question is, on the SAT, are you only ever supposed to use the principle square root of numbers? Saying that the square root of 4 = -2 is what rendered my answer incorrect.

On pg. 96 question 11

On pg. 96 question 11 I’m confused with how you came up with your answer even with the explanation. What am I supposed to do there?

On pg. 96 question 10

On pg. 96 question 10 I’m confused with how you came up with the answer 6, I got the answer -15. How did you come up with 6 I don’t understand?

On pg. 96 question 9

On pg. 96 question 9 I’m confused with how you came up with the answer 2, I got the answer 4. How did you come up with 2 I don’t understand?

I had a question about practice question #3 of the Angles, Triangles, and Polygons chapter.

I had a question about practice question #3 of the Angles, Triangles, and Polygons chapter. I understand the logic behind why A)15 is the answer (Triangle Inequality Theorem), but I think that C)22 could also be a possible answer because the problem never specifies whether RS is one of the two congruent sides or the non-congruent side. If RS were the non-congruent side, and 22 was the perimeter, the remaining sides would each be 6.5, which are not integers. Is my reasoning correct?