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3 years ago

5

-6 - 8 is equivalent to? 6 + (-8) -6 + 8 6 + 8 -6 + (-8)

2 answers:

nadezda [96]3 years ago

7 0

It is equivalent to:
-6 + (-8)

AleksAgata [21]3 years ago

3 0

Answer:

<h2><em><u>-6 + (-8) </u></em></h2>

Step-by-step explanation:

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Given the following three points, find by the hand the quadratic function they represent (0,6, (2,16, (3,33)

Lisa [10]

Answer:

$f(x) = 4x^2 - 3x + 6$

Step-by-step explanation:

Quadratic function is given as $f(x) = ax^2 + bx + c$

Let's find a, b and c:

Substituting (0, 6):

$6 = a(0)^2 + b(0) + c$

$6 = 0 + 0 + c$

$c = 6$

Now that we know the value of c, let's derive 2 system of equations we would use to solve for a and b simultaneously as follows.

Substituting (2, 16), and c = 6

$f(x) = ax^2 + bx + c$

$16 = a(2)^2 + b(2) + 6$

$16 = 4a + 2b + 6$

$16 - 6 = 4a + 2b + 6 - 6$

$10 = 4a + 2b$

$10 = 2(2a + b)$

$\frac{10}{2} = \frac{2(2a + b)}{2}$

$5 = 2a + b$

$2a + b = 5$ => (Equation 1)

Substituting (3, 33), and c = 6

$f(x) = ax^2 + bx + x$

$33 = a(3)^2 + b(3) + 6$

$33 = 9a + 3b + 6$

$33 - 6 = 9a + 3b + 6 - 6$

$27 = 9a + 3b$

$27 = 3(3a + b)$

$\frac{27}{3} = \frac{3(3a + b)}{3}$

$9 = 3a + b$

$3a + b = 9$ => (Equation 2)

Subtract equation 1 from equation 2 to solve simultaneously for a and b.

$3a + b = 9$

$2a + b = 5$

$a = 4$

Replace a with 4 in equation 2.

$2a + b = 5$

$2(4) + b = 5$

$8 + b = 5$

$8 + b - 8 = 5 - 8$

$b = -3$

The quadratic function that represents the given 3 points would be as follows:

$f(x) = ax^2 + bx + c$

$f(x) = (4)x^2 + (-3)x + 6$

$f(x) = 4x^2 - 3x + 6$

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3 years ago

Evaluate each expression if a = 3 , b = 5 and c=1 b-c

Nezavi [6.7K]

Answer:

4

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Step-by-step explanation:

<u>Step 1: Define</u>

a = 3, b = 5, c = 1

b - c

<u>Step 2: Evaluate</u>

Substitute: 5 - 1
Subtract: 4

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2 years ago

Spinner has 7 pieces, 1 black, 2 gray, 4 white, what is the probability that I would land on a gray piece?

Firlakuza [10]

Answer:

2/7

Step-by-step explanation:

there are 2 gray prices out of 7

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1 year ago

Can anyone please help me ?!?!?!?!?!??!!??!?!?!?!?!?!??!?! which fractions represent the given fractions rewritten with their LC

iren2701 [21]

Best Answer: <span>4/3x-6y, 1/5x-10y
= 4/3(x-2y) , 1/5(x-2y)
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2 years ago

What is the length of side ab in equilateral triangle abc if the length of altitude ad to side bc is 12?

I am Lyosha [343]

$\lim_{n \to \infty} a_n$

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3 years ago