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3 years ago

What is the factored form of 16x2 – 16x – 12?

1 answer:

8 0

Q1. The answer is 4(2x - 3)(2x + 1)

16x² – 16x – 12 = 4 * 4x² - 4 * 4x - 4 * 3 =
= 4(4x² - 4x - 3) =
= 4(4x² + 2x - 6x - 3) =
= 4(2x * 2x + 2x - (2x * 3 + 3)) =
= 4(2x(2x + 1) - (3(2x + 1))) =
= 4((2x + 1)(2x - 3)) =
= 4(2x - 3)(2x + 1)

Q2. The answer is 3(x + 8)(x - 1)

3x² + 21x – 24 = 3 * x² + 3 * 7x - 3 * 8 =
= 3(x² + 7x - 8) =
= 3(x *x - x + 8x - 8) =
= 3((x(x - 1) + 8(x - 1)) =
= 3(x + 8)(x - 1)

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What is the quotient if <br> 1/3 of 10 is divided by 1/7 of 8/12? Reduce if possible.

MrMuchimi

Answer:

1/35

Step-by-step explanation:

1/3 of 10 (of means multiply)

1/3 times 10 is 10/3

1/7 of 8/12=2/21

2/21 divided by 10/3

use keep change flip

2/21 divided by 10/3 equals 2/21* 3/10

1/35 is the answer

6 0

3 years ago

Among all pairs of numbers with a sum of 238238, find the pair whose product is maximum. Write your answers as fractions reduced

mylen [45]

Answer:

$x=119119,\;\;\;y=119119$

Step-by-step explanation:

Let the $x$ be the first number, $y$ be the second number and $p$ be the product of the first and second number.

i.e $x+y=238238$ $\Rightarrow x=238238-y$

$p=xy$

$\Rightarrow p=(238238-y)y\\\Rightarrow p=238238y-y^2$

$\Rightarrow \frac{dp}{dy} =238238-2y\\\Rightarrow 0=238238-2y\\\Rightarrow 2y=238238\\\Rightarrow y=119119$

Now,

$x=238238-119119\\\\ \Rightarrow x=119119$

Hence, $x=119119,\;\;\;y=119119$

8 0

2 years ago

Which function is equivalent to the inverse of y=sec(x)

kipiarov [429]

From the identity:

$sec(x)= \frac{1}{cos(x)}$

$f(x)=sec(x)= \frac{1}{cos(x)}$

the inverse of f is g such that f(g(x))=x,

we must find g(x), such that $\frac{1}{cos[g(x)]}=x$

thus, $cos[g(x)]= \frac{1}{x}$

$g(x)=cos^{-1} (\frac{1}{x})$

Answer: b. g(x)=cos^-1(1/x)

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3 years ago

Find the mean of the following data

Evgesh-ka [11]

Hi, the mean for the numbers is 29, B =D

4 0

3 years ago

Read 2 more answers

Name the coordinates for the reflection. Reflect point (4, -1) over the x-axis.

inysia [295]

Answer:

i just took the test its (4,1)