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3 years ago

Does anyone get this?

Mathematics

1 answer:

stepladder [879]3 years ago

8 0

Answer: B

Step-by-step explanation:

In the systems of equation it already gives you the solution for x which is -2 so all you have to do is substitute -2 into the first equation and solve for y.

y= 2/3x + 3

x= -2

Substitute x for -2

y = $\frac{2}{3}* \frac{-2}1} + 3$

y= $\frac{-4}{3}$ + $\frac{3}{1}$

y = $\frac{5}{3}$

so now you have the solution like this $(-2,\frac{5}{3})$

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If p(q) = q^2 4q- 12 then what is p(-1)

guapka [62]

Answer:

$\bold{p(q) = q^2 4q- 12 } \\ \bold{p( - 1) = {( - 1)}^{2} \times 4 \times ( - 1) - 12} \\ = \bold {1 \times ( - 4) - 12} \\ \bold{ = ( - 4) - 12} \\ \bold{ p( - 1)= - 16}$

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2 years ago

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Rebecca has 12 photos she wants to hang side by side on her wall.A. If she only wants to display 8 of the photos, in how many wa

Mariana [72]

If she will choose 8 from 12 photos, the total number of ways she can choose is given by a combination of 12 choose 8, since the order of the photos doesn't matter.

The formula for a combination of n choose p is:

$C(n,p)=\frac{n!}{p!(n-p)!}$

For n = 12 and p = 8, we have:

$C(12,8)=\frac{12!}{8!(12-8)!_{}}=\frac{12\cdot11\cdot10\cdot9\cdot8!}{8!\cdot4!}=\frac{12\cdot11\cdot10\cdot9}{4\cdot3\cdot2}=495$

So there are 495 ways.

If she wants to arrange the 12 photos, the total number of ways is given by the factorial of 12:

$12!=12\cdot11\cdot10\cdot9\cdot8\cdot7\cdot6\cdot5\cdot4\cdot3\cdot2=479001600$

There are 479,001,600 ways.

Since 10 photos already have specific places, we need to calculate the number of ways to arrange the other two photos in the two remaining places.

In this case, there are only 2 ways of organizing the remaining two photos:

Photo 1 first, photo 2 last, or photo 1 last and photo 2 first.

6 0

1 year ago

Solve for x in the equation x^2-10x+25=35

yKpoI14uk [10]

The left side of this equation is already a perfect square: <span>x^2-10x+25=35.

Rewriting it, we get (x-5)^2 = 35.

Taking the sqrt of both sides, x-5 = sqrt(35).

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3 years ago

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Find the value of x. Round to the nearest whole number.

IrinaVladis [17]

Use trigonometry.

sin x = opposite ÷ hypotenuse

sin x = 7/9

Take the arcsin on both sides.

arcsin(sin x) = arcsin(7/9)

x = 51.057558731

Rounding to the nearest whole number means to round to the ones place.