Tran is solving the quadratic equation 2x2 – 4x – 3 = 0 by completing the square. His first four steps are shown in the table.

Answers

Answer 1

Answer:

The following steps of solving for the roots of 2x² - 4x -3 = 0 were retrieved from another source Step 1 2x² - 4x = 3 Step 2 2(x² - 2x) = 3 Step 3 2(x² - 2x + 1) = 3 + 1 Step 4 2(x - 1)² = 4 From this, we can see that on Step 3, Tran made a mistake of adding 1 to 3. As we can see, 2(x² - 2x + 1) = 2x² - 4x + 2. That means, instead of adding 1, it should have been 2. Therefore, the step that Tran first made an error is Step 3.

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What value of g makes the equation true (×-3)(×+5)=×2+g×-15. -8. -2. 2. 8

Answers

(x - 3)(x + 5) = x2 + gx - 15
x2 – 3x + 5x -15 = x2 + gx – 15
x2 – x2 + 2x = gx – 15 + 15
2x = gx
2 = g
So the value of g the makes the equation true is 2

Answer:

the answer is 2

Step-by-step explanation:

4- What are the different waysto solve a quadratic? List examples of each

Answers

I know of two ways to solve quadratic equations. The first is through factoring. Let us take the example (x^2)+2x+1=0. We can factor this equation out and the factors would be (x+1)(x+1)=0. To solve for the roots, we equate each factor to 0, that is

x+1=0; x+1=0

In this case, the factors are the same so the root of the equation is

x=1.

The other way is to use the quadratic formula. The quadratic formula is given as [-b(+-)sqrt(b^2-4ac)]/2a where, using our sample equation above, a=1, b=2 and c=1. Substitute these to the formula, and you will get the same answer as the method above.

which polynomial can be simplified to a difference of squares? 10a2 3a – 3a – 16 16a2 – 4a 4a – 1 25a2 6a – 6a 36 24a2 – 9a 9a 4

Answers

For the polynomial: 10a^2 + 3a - 3a - 16 = 10a^2 - 16 but 10a^2 is not a perfect square hence does not simplify to a difference of two squares. For the polynomial: 16a^2 - 4a + 4a - 1 = 16a^2 - 1 = (4a - 1)(4a + 1). This polynomial simplifies to a difference of two squares. For 25a^2 + 6a - 6a + 36 = 25a^2 + 36. This ia a sum of two squares and not a difference of two squares. For 24a^2 - 9a + 9a + 4 = 24a^2 + 4. This ia a sum of two squares and not a difference of two squares.

The polynomial 16a² - 4a + 4a - 1 can be simplified to a difference of squares

What is a polynomial?

Polynomial is an expression that involves only the operations of addition, subtraction, multiplication of variables.

The difference of two squares is given by:

a² - b² = (a + b)(a - b)

Hence:

16a² - 4a + 4a - 1 = 4a(4a - 1) + 1(4a - 1)

= (4a + 1)(4a - 1)

The polynomial 16a² - 4a + 4a - 1 can be simplified to a difference of squares

Find out more on polynomial at: brainly.com/question/2833285

The sine of a 30 degree angle is equal to the cosine of a 60 degree angle.True
False

Answers

Answer:

The sentence is True

Step-by-step explanation:

In Geometry, there is a theorem that relation the sine angle and the cosine angle. The theorem says: The sine of any acute angle is equal to the cosine of its complement.

So, let β represent an acute angle

sin (β)=cos(90-β)

Given β=30, let it replace in the formule:

sin (30)=cos(90-30)

sin (30)=cos(60)

Done.

The answer is True.........................

17.16 is 62.4% of what

Answers

17.16 is 62.4% of 27.5

Change the percentage (62.4) into a decimal by dividing the percentage by 100:
$(62.4)/(100) = 0.624$

Divide 17.16 by 0.624:
$(17.16)/(0.624) = 27.5$

Use is over of equals percent over 100. 17.6 would go where is is, and the percent would go in the place of the percent. Crossmultiply and you should get an answer. If you need me to check message me

Jose Rodriguez's checking account had a starting balance of $1,234.56. He wrote a check for $115.12 for plumbing supplies and a check for $225.00 for a loan payment. Yesterday he deposited $96.75 in his checking account. What is Jose's current balance? A. $1,441.19 B. $991.19 C. $894.44 D. $1,477.93

Answers

First we need to subtract the payments he made for plumbing supplies and his loan. Then we must add the sum he deposited. So in total we have: 1234.56 - 115.12 - 225 + 96.75, which gives us 991.19. The correct answer is B.

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