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3 years ago

6.

Mathematics

1 answer:

joja [24]3 years ago

6 0

Answer:

x² - 16

Step-by-step explanation:

Given

(x - 4)(x + 4)

Each term in the second factor is multiplied by each term in the first factor, that is

x(x + 4) - 4(x + 4) ← distribute both parenthesis

= x² + 4x - 4x - 16 ← collect like terms

= x² - 16

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9/20

NISA [10]

For this case we must find the solution of the following quadratic equation:

$x ^ 2 + 5x + 7 = 0$

Where:

$a = 1\\b = 5\\c = 7$

Then, the solution is given by:

$x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2a}$

Substituting the values:

$x = \frac {-5 \pm \sqrt {5 ^ 2-4 (1) (7)}} {2 (1)}\\x = \frac {-5 \pm \sqrt {25-28}} {2}\\x = \frac {-5 \pm \sqrt {-3}} {2}$

By definition we have: $i ^ 2 = -1$

$x = \frac {-5 \pm \sqrt {3i ^ 2}} {2}\\x = \frac {-5 \pm i \sqrt {3}} {2}$

Thus, we have two complex roots.

Answer:

The equation has no real roots.

4 0

3 years ago

Y= -2x + 15<br> y= -2(x-2)2 + 35

barxatty [35]

Answer:

(x, y)=(301 43)

( ---- , ---)

( 29 29)

Step-by-step explanation:

4 0

2 years ago

The model shows the expression 21 + 9. A model with 3 rows of 7 squares and 3 rows of 3 squares. Which expression is equivalent

DaniilM [7]

Answer: the answer is 3(7+3)

Step-by-step explanation: since 7+3 is in paranthases you add them first to get 10 and you multiply it by the 3 to get 30. We know its correct because 21+9=30.

7 0

3 years ago

Read 2 more answers

Identify all of the roots of the function f(x) = x^3 - 5x^2-2x+24

Sveta_85 [38]

Answer: -2,3,&4

Step-by-step explanation:

Correct on edgenuity

3 0

3 years ago

(9/16)^−1/2 How do I solve this equation?

vlada-n [284]

$\left(\dfrac{9}{16}\right)^{-\tfrac{1}{2}}=\\
\left(\dfrac{16}{9}\right)^{\tfrac{1}{2}}=\\
\sqrt{\dfrac{16}{9}}=\\
\dfrac{4}{3}$

4 0

3 years ago