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1 year ago

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

Mathematics

1 answer:

natulia [17]1 year ago

7 0

The solution to the quadratic equation 2x² - 4x - 3 = 0 is x = 1 ± √2.5

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

Solving the polynomial using completing the square:

2x² - 4x - 3 = 0

First divide through by 2:

x² - 2x - 3/2 = 0

add 3/2 to both sides:

x² - 2x - 3/2 + 3/2 = 0 + 3/2

x² - 2x = 3/2

add the square of half the coefficient x to both sides:

x² - 2x + 1 = 3/2 + 1

(x - 1)² = 2.5

taking square root:

x - 1 = ±√2.5

x = 1 ± √2.5

The solution to the quadratic equation 2x² - 4x - 3 = 0 is x = 1 ± √2.5

Find out more on equation at: brainly.com/question/2972832

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Help help help help

goblinko [34]

Answer:

$\displaystyle m=\frac{-1}{2}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Reading a Cartesian plane
Coordinates (x, y)
Slope Formula: $\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (4, 1)

Point (0, 3)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [Slope Formula]: $\displaystyle m=\frac{3-1}{0-4}$
[Fraction] Subtract: $\displaystyle m=\frac{2}{-4}$
[Fraction] Simplify: $\displaystyle m=\frac{-1}{2}$

4 0

3 years ago

Angles of triangle sand explain how u got each question and answer pls ! ((:

horsena [70]

Answer:

m∠1 = 41°

m∠2 = 85°

m∠3 = 95°

m∠4 = 85°

m∠5 = 36°

m∠6 = 49°

m∠7 = 96°

Step-by-step explanation:

Alright, so to start we have 2 quadrilaterals intersecting to form a triangle, which means that in the shapes with 4 angles, all angles will add up to 360°, while the triangle's angles will add up to 180°

Right off the bat, we can tell that ∠3 and ∠95° are going to be the same, because they're at a perpendicular intersection, which also means that ∠2 and ∠4 will be the same as well

Knowing the ∠3 = 95° means that ∠5 and ∠6 must add up to equal 85°, so that the whole of the triangle equals 180°

Considering that in the first quadrilateral we already have ∠90° and ∠144°, this means that ∠1 and ∠2 have to add up to 126°, to make an even 360° total

If ∠95° is supplementary to ∠2, this means ∠2 = 85°, and since ∠4 and ∠2 are the same, ∠4 also equals 85° - This leaves 41° left for ∠1, and now we can move on to the other quadrilateral

So since we know ∠4 = 85°, and we already have ∠38°, this means that ∠7 and the unmarked angle will add up to equal 237°, so that the entire shape has 360°

Since we know that ∠5 and ∠144° are supplementary, this means ∠5 is equal to 36°, which would make ∠6 = 39°

And lastly we have ∠7, which since ∠6 = 39° this means our unmarked supplementary angle must equal 141° - Now that means that ∠4 + ∠38° + ∠141° = 264° out of 360°, which leaves ∠7 to equal 96°

3 0

2 years ago

Geraldo recently saw a newspaper ad for a new version of his laptop. the projected price is $400.00, and the laptop will be out

Tanya [424]

The amount he had to pay if he have to purchase a laptop today that is the same value as the one he saw in the ad is $ 390.24.

Given that:-

Price of the laptop after 1 year = $ 400.

Inflation rate = 2.5 %

We have to find the amount he had to pay if he have to purchase a laptop today that is the same value as the one he saw in the ad.

Let the price he had to pay be x.

Hence, we can write,

x + (x*(2.5)*1)/100 = 400

x(1 + 1/40) = 400

x(41/40) = 400

x = 400*40/41 = $ 16000/41 = $ 390.24.

To learn more about amount, here:-

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5 0

1 year ago

Use scientific notation to estimate the number of inches in 1,225 miles. Include all calculations in your final answer.

valentinak56 [21]

Answer:

1,225 miles = 77616000 inches

Step-by-step explanation:

It is asked to find the number of inches in 1,225 miles

Given

1 inch ≈ 1.578 × 10^-5 miles

Therefore, 1 mile = 63360 inches

Therefore, 1,225 miles = 1225 x 63360 inches

1,225 miles = 77616000 inches

or 1,225 miles = 7.7 x $10^{7}$ inches

Therefore the final answer is

1,225 miles = 77616000 inches

or 1,225 miles = 7.7 x $10^{7}$ inches

3 0

3 years ago

Find two consecutive odd integers such that 62 more than the lesser is five times the greater.

lidiya [134]

Idk really know srry

8 0

2 years ago

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