## Forum Replies Created

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**Answer:**y = ± [ √(x+4) ] / 3**Solution:**1) To find the inverse of the function y = 9x

^{2}– 4,*exchange the variables x and y*, and then solve for the new y.2) Exchange of the variables: y = 9x

^{2}– 4 → x = 9y^{2}– 43) Solve for y:

=> 9y^{2}= x + 4

=> y^{2}= [x + 4] / 9

**=> y = ± [ √(x + 4) ] / 3**- This reply was modified 2 years, 10 months ago by ProtonsTalk.
- This reply was modified 2 years, 10 months ago by ProtonsTalk.

July 19, 2021 at 7:24 pm in reply to: For a standard normal distribution, which of the following expressions must always be equal to 1? #10312::The correct answer is

**D. P(z<-a) + P(-a<z<a) + P(Z>a)****Explanation:**

This expression represents all of the possible values in a curve, or in other words, the total area of a curve. According to a standard normal distribution, the total area of a curve is always equal to 1 as it is a probabilistic distribution.- This reply was modified 2 years, 10 months ago by ProtonsTalk.
- This reply was modified 2 years, 10 months ago by ProtonsTalk.

July 19, 2021 at 7:27 pm in reply to: For what values of m does the graph of y = mx^2 – 5x – 2 have no x-intercepts? #10318::**Answer:**The graph of y=mx^{2}-5x-2 has no x-intercepts for m<-25/8**Solution:**y=mx

^{2}-5x-2To get x-intercepts, y must be zero:

=> y=0

=> mx^{2}-5x-2=0We can solve this equation using the quadratic formula:

ax^{2}+bx+c=0; a=m, b=-5, c=-2=> x = [-b ± sqrt( b

^{2 }– 4ac) ] / (2a)

=> x = [-(-5) ± sqrt( (-5)^{2}– 4(m)(-2) )] / (2(m))

=> x = [5 ± sqrt(25 + 8m)] / (2m)This equation doesn’t have a solution (no x-intercepts) if:

25 + 8m < 0

=> 8m < -25

=> m < -25/8Hence, The graph of y=mx

^{2}-5x-2 has no x-intercepts for m < -25/8- This reply was modified 2 years, 10 months ago by ProtonsTalk.
- This reply was modified 2 years, 8 months ago by ProtonsTalk.

July 19, 2021 at 7:18 pm in reply to: What is produced at each electrode in the electrolysis of AgF(aq)? #10303::**Cathode:**H^{+}, Ag^{+ }**Anode:**F^{–}, OH^{–}**Cathode Reaction:**Ag^{+ }(aq) + e^{–}→Ag (s)

**Anode Reaction:**4OH^{– }(aq) – 4e^{–}→ 2H_{2}O (l)+O_{2 }(g)Thus, the product at the anode is oxygen gas and at the cathode electrode is silver metal.

- This reply was modified 2 years, 10 months ago by ProtonsTalk.
- This reply was modified 2 years ago by ProtonsTalk. Reason: schema issue

July 19, 2021 at 7:34 pm in reply to: Which equation is y = 9x^2 + 9x – 1 rewritten in vertex form? #10328::The vertex form of a parabolic function has the general formula:

f(x) = a(x-h)^2 + k where (h,k) represent the vertex of the parabola.

Therefore, to write the given equation in vertex form, we will need to transform it to the above formula as follows:

y = 9x^2 + 9x – 1

y = 9(x^2 + x) – 1

y = 9(x^2 + x + 1/4 – 1/4)-1

y = 9((x+1/2)^2 – 1/4)-1

y = 9(x + 1/2)^2 – 9/4 – 1

y = 9(x + 1/2)^2 – 13/4 ————-> The equation in vertex form

If you need the vertex of the parabola, it will simply be (-1/2, -13/4)

- This reply was modified 2 years, 10 months ago by ProtonsTalk.

July 19, 2021 at 7:41 pm in reply to: A factory is emitting large amounts of CFCs into the atmosphere. How might this affect people? #10334::The correct answer is:

**C. increase in the rate of skin cancer.**- This reply was modified 2 years, 11 months ago by ProtonsTalk.

July 19, 2021 at 6:50 pm in reply to: Psychology is a social science discipline. Psychologists scientifically study ________ #10240::The correct answer is

C) the mind and behavior**Explanation:**Psychology is related to the understanding that is gained from the researches and study about mind and behavior. The study is based on studying the feelings, thinking, and action taken by an individual. They also research the factors responsible for manipulating or impacting the behavior and thinking of an individual and the related facts.

- This reply was modified 2 years, 10 months ago by ProtonsTalk.
- This reply was modified 2 years, 8 months ago by ProtonsTalk.

::Chemical Equation:

**3NaOH (aq) + FeBr**_{3 }(aq)→3NaBr (aq) + Fe(OH)_{3 }(s)- This reply was modified 2 years, 10 months ago by ProtonsTalk.

July 19, 2021 at 7:03 pm in reply to: What can we infer if we see a large number of mitochondria in a cell? #10273::The correct answer is

(d) The cell has a great metabolic demand**Explanation:**

If we see a large number of mitochondria in a cell, we can infer that the cell has a great metabolic demand. A high metabolic demand means that the cell requires a large amount of energy released in the process called cellular respiration. The mitochondria are where most of the energy of the cell is made.- This reply was modified 2 years, 10 months ago by ProtonsTalk.
- This reply was modified 2 years, 10 months ago by ProtonsTalk.

July 19, 2021 at 7:31 pm in reply to: Write a balanced chemical equation for the reaction, Na2CO3 and AgNO3? #10325::**Na**_{2}CO_{3}(aq) + 2 AgNO_{3}(aq) → Ag_{2}CO_{3}(s) + 2 NaNO_{3}(aq)This is a precipitation reaction:

**Ag**_{2}CO_{3}is the formed precipitate.- This reply was modified 2 years, 10 months ago by ProtonsTalk.
- This reply was modified 2 years, 10 months ago by ProtonsTalk.
- This reply was modified 2 years, 10 months ago by ProtonsTalk.

July 19, 2021 at 7:37 pm in reply to: Which of Mendel’s laws or principles states that gametes carry one allele for each trait? #10331::**Law of Segregation:**It states that every organism consist of two alleles for each trait, and these alleles segregate by the process of meiosis. So, each gamete consists of one allele from one parent.- This reply was modified 2 years, 11 months ago by ProtonsTalk.

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