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3 years ago

HURRRY DUE IN 1 HR HEEELLLLPPP 40 points

Mathematics

1 answer:

SSSSS [86.1K]3 years ago

6 0

Answer:

no they are not

Step-by-step explanation:

5(m-2) and 3(m-2) + 2(m-2) are not equivalent equations because 3(m-2) + 2(m-2) equals 5(m-2). Also 5(m-2) equals 5m-10 so they are not equivalent equations.

hope that helps

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Solve the following equation by completing the square. 12x^2 - 48x = -39

daser333 [38]

Answer:

$\large\boxed{\boxed{x = \begin{cases} \frac{ \sqrt{3} }{2} + 2 \\ - \frac{ \sqrt{3} }{2} + 2 \end{cases}}}$

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>

quadratic equation
PEMDAS

<h3>let's solve:</h3>

$\sf divide \: both \: sides \: by \: 12 : \\ \sf {x}^{2} - 4x = - \frac{13}{4}$
$\sf \: add \: { - 2}^{2} \: to \: both \: sides : \\ \sf { {x}^{2} } - 4x + ( - {2}^{2} ) = \frac{13}{4} + ( { - 2}^{2} ) \\ {x}^{2} - 4x + 4 = \frac{13}{4} + 4$
$\sf simplify \: addition : \\ \sf { {x}^{2} } - 4x + 4 = \frac{3}{4}$
$\sf use \: {a}^{2} - 2ab + {b}^{2} = (a - b {)}^{2} : \\ \sf (x - 2 {)}^{2} = \frac{3}{4}$
$\sf squre \: root \: both \: sides : \\ \sf \sqrt{(x - 2 {)}^{2} } = \pm \sqrt{ \frac{3}{4} } \\ \begin{cases} x - 2 = \frac{ \sqrt{3} }{2} \\x - 2 = - \frac{ \sqrt{3} }{2} \end{cases}$
$\sf add \: 2 \: to \: both \: sides : \\ \sf \begin{cases}x = \frac{ \sqrt{3} }{2} + 2 \\ x = - \frac{ \sqrt{3} }{2} + 2 \end{cases} \\ \therefore \: x = \begin{cases} \frac{ \sqrt{3} }{2} + 2 \\ - \frac{ \sqrt{3} }{2} + 2 \end{cases}$

7 0

3 years ago

Read 2 more answers

X+6=6+x is it a one solution, infinite solutions or no solutions

Nookie1986 [14]

Answer:

infinite solutions

Step-by-step explanation:

6 0

3 years ago

Use the normal distribution of SAT critical reading scores for which the mean is 502 and the standard deviation is 116. Assume t

PSYCHO15rus [73]

Answer:

(a) 93.19%

(b) 267.3

Step-by-step explanation:

The population mean and standard deviation are given as 502 and 116 respectively.

Consider, <em>X</em> be the random variable that shows the SAT critical reading score is normally distributed.

(a) The percent of the SAT verbal scores are less than 675 can be calculated as:

$P(X$

Thus, the required percentage is 93.19%

(b)

The number of SAT verbal scores that are expected to be greater than 575 can be calculated as:

$P(X>575)=P(\frac{x-502}{116}>\frac{575-502}{116}\\P(X>575)=P(Z>\frac{575-502}{116})\\P(X>575)=P(Z>0.6293)\\P(X>575)=0.2673$

So,

Out of 1000 randomly selected SAT verbal scores, 1000(0.2673) = 267.3 are expected to have greater than 575.

8 0

3 years ago

Mariah cuts a rectangle along its diagonal. Two congruent triangles are created. The two angles created by the diagonal have a s

Savatey [412]

X + y = 90 because the 2 angles add up to 90

Now m < x = five times m < y, so x = 5y or y = x/5

so the last choice is the correct one.

5 0

4 years ago

Read 2 more answers

What two numbers add up to -1 and multiply to -240?

allochka39001 [22]

Two numbers that multiply to -240 and add to -1 are -16 and 15

-16 x 15 = -240
-16 + 15= -1

Hope this helps!

3 0

3 years ago