MATHEMATICS HIGH SCHOOL

What is the first step in writing f(x) = 3x2 + 6x – 8 in vertex form?A. Factor out 3 from each term.

B. Form a perfect square trinomial by keeping the value of the function equivalent.

C. Write the trinomial as a binomial squared.

D. Factor out 3 from the first two terms.

Explain your answer?

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Answers

Answer 1

Answer:

Answer:

D. Factor out 3 from the first two terms.

Step-by-step explanation:

Vertex form is ...

y = a(x -h)² +k

where (h, k) is the vertex and "a" is the vertical scale factor.

This equation expands to give ...

y = ax² -2ahx + ah² +k

Factoring "a" from the terms involving x makes it easy to identify h and so finish putting the equation into vertex form. In this equation, that means the most appropriate first step is ...

factor out 3 from the first two terms

Answer 2

Answer:

Answer:

D. Factor out 3 from the first two terms.

Step-by-step explanation:

According to the VertexFormula[y = A(X - H)² + K], -H gives you the OPPOSITE terms of what they really are, but in this case, this would not qualify, since the question is asking something totally unique. So, since 3 is your "A", you factor that out, and since 6 is a multiple of 3, it is easy to work with. Anyway, you get this:

y = 3(x + 1)² - 11

I hope this helps you out alot, and as always, I am joyous to assist anyone at any time.

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1. Solve the following equation using the quadratic formula: 3x2 + 6x + 8 = 6.2. Is the quadratic formula the most efficient way to solve this equation? Why or why not?

$297.89 with a 9.5% tax

Answers

The exact answer is 326.18955. So about $316.19

Rachna has nickels, dimes, and quarters in her piggy bank. She has $4.65 altogether. She has three more quarters than dimes and twice as many nickels as quarters. How many quarters does Rachna have?

A. 8
B. 11
C. 22
D. 41

Answers

we can translate the given statements into algebraic expressions. In this case,

0.05x + 0.10y + 0.25z = 4.65z = 3 + yx = 2 z
solving these linear equations simultaneously, x = 22y = 8z= 11hence the answer is B. 11

For this case we have the following variables:

x: number of nickels

y: number of dimes

z: number of quarters

We now write the system of equations that models the problem:

$0.05x + 0.1y + 0.25z = 4.65 z = y + 3 x = 2z$

Rewriting the equations as a function of z we have:

$0.05 (2z) + 0.1 (z-3) + 0.25z = 4.65$

From here, we clear the value of z:

$0.1z + 0.1z - 0.3 + 0.25z = 4.65 0.1z + 0.1z + 0.25z = 4.65 + 0.3 0.1z + 0.1z + 0.25z = 4.65 + 0.3 0.45z = 4.95$

$z = (4.95)/(0.45) z = 11$

Answer:

The number of quarters that Rachna has is:

B. 11

Solve the following equation:420=9 (3.6^x)

This is in the exponentially and logs unit.

Answers

$420=9\cdot3.6^x\n3.6^x=(420)/(9)\n3.6^x=(140)/(3)\nx=\log_(3.6)(140)/(3)$

X ^-4 + x ^ 3 - 4x ^ 2 = 2x - 4

Answers

Answer:

Ok, If you are trying to solve for x then your answer in fraction form is x=4/11. If you want it in decimal form the answer is 0.36(Repeats forever). And these answers are also implying that when you typed a "^" it meant multiplcation

Step-by-step explanation:

I have used an Online Algebra Calculator to help guide me to my answer and this answer is 100% correct so,

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Is √10 in simplest form?