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3 years ago

(X-4) (x+2)=16 What’s the standard form

Mathematics

2 answers:

Reika [66]3 years ago

8 0

Step-by-step explanation:

$(x - 4)(x + 2) = 16 \\ {x}^{2} + (- 4 + 2)x + ( - 4) \times 2= 16 \\ {x}^{2} - 2x - 8 - 16 = 0 \\ {x}^{2} - 2x - 24 = 0 \\ is \: the \: standard \: form.$

Pavel [41]3 years ago

4 0

Answer:

Step-by-step explanation:

(x-4)(x+2)=16

$x^{2}$ +(-4+2)x+(-4)×2=16

$x^{2}$ - 2x - 8 - 16= 0

$x^{2}$ -2x -24 = 0

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Determine which of the following graphs does not represent a function.

levacccp [35]

let's recall the vertical line test, it's a function if when dropping a vertical line on the graph, it only touches it once on the way down.

Check the picture below.

6 0

2 years ago

The product of 4 and a number f decreased by 2 is 15

Debora [2.8K]

Answer: The number is: "2 " .

__________________________________________

Step-by-step explanation:

__________________________________________

Write the expression; which is an equation, as follows:

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" 4x − 12 = 2(-x) " ; in which "x" represents "the number for which we shall solve" .

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Note:

If the "number" = "x" ; the "opposite of the number" = " -x " ;

___________________________________________

Rewrite as: " 4x − 12 = -2x " ;

_____________________________________________

→ Add "12" ; & add "2x" ; to EACH SIDE of the equation:

4x − 12 + 12 + 2x = -2x + 12 + 2x ;

to get: 6x = 12 ;

____________________________________________________

Now, divide each side of the equation by "6" ;

to isolate "x" on one side of the equation; & to solve for "x" ;

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6x / 6 = 12 / 6 ;

to get: x = 2 .

____________________________________________________

Answer: The number is: "2 " .

____________________________________________________

Let us check our answer, by plugging in "2" for "x" in our original equation:

_____________________________________________________

→ " 4x − 12 = 2(-x) " ;

Let us plug in "2" for "x" ; to see if the equation holds true; that is; if both side of the equation are equal; when "x = 2" ;

→ " 4(2) − 12 = ? 2(-2) ??

→ 8 − 12 = ? -4 ? ;

→ -4 = ? -4 ?? Yes!

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7 0

3 years ago

Read 2 more answers

Use the Newton-Raphson method to find the root of the equation f(x) = In(3x) + 5x2, using an initial guess of x = 0.5 and a stop

xxMikexx [17]

Answer with explanation:

The equation which we have to solve by Newton-Raphson Method is,

f(x)=log (3 x) +5 x²

$f'(x)=\frac{1}{3x}+10 x$

Initial Guess =0.5

Formula to find Iteration by Newton-Raphson method

$x_{n+1}=x_{n}-\frac{f(x_{n})}{f'(x_{n})}\\\\x_{1}=x_{0}-\frac{f(x_{0})}{f'(x_{0})}\\\\ x_{1}=0.5-\frac{\log(1.5)+1.25}{\frac{1}{1.5}+10 \times 0.5}\\\\x_{1}=0.5- \frac{0.1760+1.25}{0.67+5}\\\\x_{1}=0.5-\frac{1.426}{5.67}\\\\x_{1}=0.5-0.25149\\\\x_{1}=0.248$

$x_{2}=0.248-\frac{\log(0.744)+0.30752}{\frac{1}{0.744}+10 \times 0.248}\\\\x_{2}=0.248- \frac{-0.128+0.30752}{1.35+2.48}\\\\x_{2}=0.248-\frac{0.17952}{3.83}\\\\x_{2}=0.248-0.0468\\\\x_{2}=0.2012$

$x_{3}=0.2012-\frac{\log(0.6036)+0.2024072}{\frac{1}{0.6036}+10 \times 0.2012}\\\\x_{3}=0.2012- \frac{-0.2192+0.2025}{1.6567+2.012}\\\\x_{3}=0.2012-\frac{-0.0167}{3.6687}\\\\x_{3}=0.2012+0.0045\\\\x_{3}=0.2057$

$x_{4}=0.2057-\frac{\log(0.6171)+0.21156}{\frac{1}{0.6171}+10 \times 0.2057}\\\\x_{4}=0.2057- \frac{-0.2096+0.21156}{1.6204+2.057}\\\\x_{4}=0.2057-\frac{0.0019}{3.6774}\\\\x_{4}=0.2057-0.0005\\\\x_{4}=0.2052$

So, root of the equation =0.205 (Approx)

Approximate relative error

$=\frac{\text{Actual value}}{\text{Given Value}}\\\\=\frac{0.205}{0.5}\\\\=0.41$

Approximate relative error in terms of Percentage

=0.41 × 100

= 41 %

7 0

3 years ago

The ideal width of a safety belt strap for a certain automobile is 7 cm. An actual width can vary by at most 0.3 cm. Write an ab

tester [92]

<span>
</span> $(7-.3) \leq w \leq (7+.3)
$

$6.7 \leq w \leq 7.3$

$w - 7 = -0.3$

$w = 6.7$

So the answer is

<span>C. |w – 7| ≤ 0.3</span>

6 0

3 years ago

Carrie can fold 20 shirts in two and a half minutes. If she continues at this rate, how long will it take her to fold 50 shirts?

Ymorist [56]

Answer:

6.25 minutes

Step-by-step explanation:

First, let's simplify it down. We want to find out how many shirts she can fold in 1 minute, then multiply that by 50.

20 shirts in 2.5 minutes

20 shirts = 2.5 minutes

An equals sign is like a see-saw. If you do something to one side, you have to do it to the other side. To get 20 shirts to 1 one shirt, divide by 20. You have to do that to the other side to make it equal.

(20 divided by 20) = (2.5 divided by 20)

1 shirt = 0.125 minutes.

That's how long it takes to fold 1 shirt. To find the time for 50 shirts, multiply that by 50.

0.125 x 50 = 6.25

It will take Carrie 6.25 minutes to fold 50 shirts. Hope this helped =)

4 0

3 years ago