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3 years ago

A box contains twenty cards numbered 1 through 20. One card is to be randomly drawn from the box.

1 answer:

5 0

There are three multiples of 6: 6, 12, 18.

There are two multiples of 7 and 8 each: 7, 8, 14, 16.

3+4=7, so the answer is 7/20 or C.

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Solve the following system algerbraically: y=-3(x-2) squared+4 y=-6x+16

pishuonlain [190]

$y = - 3(x - 2) ^{2} + 4$
$y = - 6x + 16$
distribute the -3 and the square into the first equation
$y = - 3x ^{2} + 12x - 8$
$y = - 6x + 16$
multiply the second equation by 2
$y = - 3x ^{2} + 12x - 8$
$y = - 12x + 32$
add the equations together
$y = - 3x ^{2} + 24$
factor out -3
$y = - 3(x ^{2} - 8)$
factor inside parenthesis
$y = - 3(x + \sqrt{8} )( x - \sqrt{8})$
refine
$y = - 3(x + 2 \sqrt{2} )(x - 2 \sqrt{2} )$

8 0

3 years ago

Please find the answer and show your work so I can learn thanks!!

irga5000 [103]

Answer:

22.34 ${km}^{2}$

Step-by-step explanation:

The area of a circle:

A = π $r^{2}$

The problem gives the diameter of a circle, which is equal to 2*r.

If 5 1/3 = 2*r, then the radius is (16/3)/2 = 8/3.

Plugging this into the area equation,

A = π* ${{8/3}}^{2}$

A = $\frac{{64*π}}{9}$ or approximately 22.34 ${km}^{2}$

8 0

3 years ago

3. Solve the inequality –2(z + 5) + 20 > 6.

12345 [234]

$\boxed{-2\left(z+5\right)+20>6\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:z$

Solution:

Given inequality is:

$-2(z+5)+20>6$

We have to solve the given inequality

$-2\left(z+5\right)+20>6\\\\\mathrm{Subtract\:}20\mathrm{\:from\:both\:sides}\\\\-2\left(z+5\right)+20-20>6-20\\\\\mathrm{Simplify}\\\\-2\left(z+5\right)>-14$

$Multiply\ both\ sides\ by\ -1\ \left(reverse\:the\:inequality\right)$

Whenever we multiply or divide an inequality by a negative number, we must flip the inequality sign

$\left(-2\left(z+5\right)\right)\left(-1\right)$

Thus the solution to inequality is:

$-2\left(z+5\right)+20>6\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:z$

4 0

3 years ago

Which graph or equation represents a Nonpoportional relationship A B C or D

VARVARA [1.3K]

Answer:

Step-by-step explanation:

A graph that represents a proportional relationship usually has the line cutting through the line of origin (0, 0).

The graph in option A does not have the line passing through the point of origin (0, 0), therefore, it does not represent a proportional relationship.

For an equation that represents a proportional relationship, it is written in the form of y = kx

Where, k is the constant of proportionality.

Therefore, the two equations given represents a proportional relationship.

7 0

3 years ago

Which is the best estimate of the difference between

Romashka-Z-Leto [24]

Answer:

c. 5

Step-by-step explanation:

678 rounds to 700 and 218 rounds to 200. 700-200=500

7 0

3 years ago