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3 years ago

Solve by co pelting the square 4x^2-16x+5=-2

Mathematics

1 answer:

Paha777 [63]3 years ago

5 0

Answer:

x = 1/2, 7/2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Algebra I

Completing the Square: (b/2)²
Factoring

Step-by-step explanation:

Step 1: Define

4x² - 16x + 5 = -2

Step 2: Solve for x

Isolate x terms: 4x² - 16x = -7
Factor GCF: 4(x² - 4x) = -7
Isolate x terms: x² - 4x = -7/4
Complete the Square: x² - 4x + 4 = -7/4 + 4
Simplify: (x - 2)² = 9/4
Square root both sides: x - 2 = ±3/2
Isolate x: x = 2 ± 3/2
Evaluate: x = 1/2, 7/2

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A pickup truck carrying 10 to the 3rd power identical bricks weighs 6,755 pounds. If the empty truck weighs 6,240 pounds, what i

Aleks04 [339]

Answer:

The answer is that each brick weights .515 pounds.

Step-by-step explanation:

10 to the 3rd power is 10^3 = 1000 bricks.

The weight of the full truck minus the weight of the empty truck is the weight of the bricks:

6755 - 6240 = 515 pounds of bricks

Pounds per brick:

515 / 1000 = .515 pounds per brick.

Hope this helps! Have a great day!

5 0

3 years ago

In a pre algebra class containing 40 students, there are 18 freshmen, 19 sophomores, and 3 juniors. What fraction of the class a

dezoksy [38]

$\frac{9}{20}$ of the class consists of freshmen.

Step-by-step explanation:

Given,

Total number of students = 40

Number of freshmen = 18

Number of sophomores = 19

Number of juniors = 3

Fraction of freshmen = $\frac{Number\ of\ freshmen}{Total\ number\ of students}$

Fraction of freshmen = $\frac{18}{40}$

Fraction of freshmen = $\frac{9}{20}$

$\frac{9}{20}$ of the class consists of freshmen.

Keywords: fraction, division

Learn more about fractions at:

#LearnwithBrainly

7 0

3 years ago

The sum of a number times 8 and 21 is less than -16.

vodka [1.7K]

Hello.

First of all, let the number be t.

8 times t can be written like this:

$\mathrm{8t}$

Notice that the number is before the variable and the times sign (×) is not there.

We can write it as 8×t, but we usually write it as 8t.

The sum of means we add:

8t+21

Now, "less than" is "<" :

$\mathrm{8t+21 < -16}$

Therefore, the answer is

$\mathrm{8t+21 < -16}$

I hope it helps.

Have a nice day.

$\boxed{imperturbability}$

7 0

2 years ago

What is the solutions to 0=x^2-x-6 two things ,,quadratic equationz,,,

natita [175]

Answer:

x1=3. x2=-2

Step-by-step explanation:

$x = \frac{ - b + - \sqrt{b {}^{2} - 4ac } }{2a}$

b=-1

a=1

c=-6

$x = \frac{ - ( - 1) + - \sqrt{ {( - 1)}^{2} - 4 \times 1 \times ( - 6) } }{2 \times 1}$

$x = \frac{1 + - \sqrt{1 + 24} }{2}$

$x = \frac{1 + - \sqrt{25} }{2}$

$x1 = \frac{1 + 5}{2}$

$x2 = \frac{1 - 5}{2}$

x1=3

x2=-2

$x = \frac{1 + - 5}{2}$

3 0

2 years ago

The current balance of Amber’s bank account was $8. She withdrew

8_murik_8 [283]

Answer:

$-6

Step-by-step explanation:

$(8-14)

= $-6

Hope this helped!

4 0

3 years ago

Read 2 more answers