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Mathematics

1 answer:

olchik [2.2K]2 years ago

6 0

Are these true and false? I think it's true for both

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The mean of 10,12,16,20,p,26 is 17.Find the value of p.

Paha777 [63]

There are 6 numbers total

17 * 6 = 102

10 + 12 + 16 + 20 + 26 = 84

p = 102-84 = 18

p = 18

3 0

3 years ago

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What is the midpoint of a line segment with the endpoints (-4, -3) and (7, -5)

Katyanochek1 [597]

Midpoint Formula: ( $\frac{x+x}{2}$ , $\frac{y+y}{2}$ )
Midpoint = ( $\frac {-4+7}{2}$ , $\frac {-3-5}{2}$ )
Midpoint = ( $\frac {3}{2}$ , $\frac {-8}{2}$ )
Midpoint = ( $\frac {3}{2}$ , -4)
So, the midpoint of the endpoints (-4,-3) and (7,-5) is ( $\frac {3}{2}$ , -4).
Have a nice day! ♪

4 0

3 years ago

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Which equation is the inverse of 5 y + 4 = (x + 3) squared + one-half?

telo118 [61]

Answer:

The correct option is the last option d.) y = negative 3 plus-or-minus StartRoot 5 x + seven-halves EndRoot

Step-by-step explanation:

the given equation is $5y + 4 =(x+3)^{2} + \frac{1}{2}$

Therefore we can write $5y\hspace{0.1cm} = (x+3)^{2} + \frac{1}{2} - 4 \hspace{0.3cm} \Rightarrow \hspace{0.2cm} 5y = (x+3)^{2} - \frac{7}{2} \hspace{0.3cm} \Rightarrow \hspace{0.3cm} y = \frac{(x+3)^{2}}{5} - \frac{7}{10}$

To find the inverse of the above function let us replace x with y and y with x.

Therefore we get

$x = \frac{(y+3)^{2}}{5} - \frac{7}{10}$

Now we write the above equation with only y on the Left hand side and we will obtain the inverse of the given function

$y = \pm \sqrt{5 (x + \frac{7}{10} )} \hspace{0.1cm} - \hspace{0.1cm} 3 \hspace{0.1cm} \Rightarrow\hspace{0.1cm} y = \pm \sqrt{5x + \frac{7}{2} } - \hspace{0.1cm} 3 \hspace{0.1cm}$

Therefore the correct option is the last option d.) y = negative 3 plus-or-minus StartRoot 5 x + seven-halves EndRoot , $y = \pm \sqrt{5x + \frac{7}{2} } - \hspace{0.1cm} 3 \hspace{0.1cm}$