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2 years ago

In a class of 22 students, 15 play an instrument and 11 play a sport. There are 9

Mathematics

1 answer:

ollegr [7]2 years ago

6 0

Answer:7/22

Sorry I don’t know how to explain.But here the answer.

Hope this helped!

Have a great day!

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Find the inverse of the given function.

kodGreya [7K]

For this case we must find the inverse of the following function:

$f (x) = - \frac {1} {2} \sqrt {x + 3}$

We follow the steps below:

Replace f(x) with y:

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

We exchange the variables:

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

We solve for "y":

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

Multiply by -2 on both sides of the equation:

$\sqrt {y + 3} = - 2x$

We raise both sides of the equation to the square to eliminate the radical:

$(\sqrt {y + 3}) ^ 2 = (- 2x) ^ 2\\y + 3 = 4x ^ 2$

We subtract 3 from both sides of the equation:

$y = 4x ^ 2-3$

We change y by f ^ {- 1} (x):

$f ^ {- 1} (x) = 4x ^ 2-3$

Answer: $f ^ {- 1} (x) = 4x ^ 2-3$

7 0

3 years ago

Read 2 more answers

Spencer made a quilt for his cousin's doll. The quilt had a 7x7 array of different color square patches. If each patch is 1 3/4

Damm [24]

Answer:

$\frac{2401}{16}$ square inches

Step-by-step explanation:

Given:

The quilt made by Spencer had a 7×7 array of different color square patches such that each patch is $1\frac{3}{4}$ in long.

To find: the area of the whole quilt

Solution:

Side of each quilt = $7(\frac{3}{4})=7(\frac{7}{4})=\frac{49}{4}$

Quilt is in the form of a square such that area of square is given by $(side)^2$

Therefore, area of quilt = $(side)^2=(\frac{49}{4})^2 =\frac{2401}{16}$ square inches

3 0

3 years ago

Consider the sequence of steps to solve the equation: 5(x - 3) = 7x 2 Step 1 ⇒ 10(x - 3) = 7x Step 2 ⇒ 10x - 30 = 7x Step 3 ⇒ 3x

umka21 [38]

It is the division property because x or 1x is dividing the 10

7 0

2 years ago

Costa is planning a lunch banquet. The equation C=450+28g models the relation between the cost in dollars, C, of the banquet and

algol13

Answer:

When the number of guests is 0, the cost would be $450.

Step-by-step explanation:

We have been given an equation $C=450+28g$ , which models the relation between the cost in dollars, C, of the banquet and the number of guests, g.

We can see that our given equation in slope-intercept form of equation $y=mx+b$ , where, m represents slope of line and b represents y-intercept or initial value.

We can see that slope for our given equation is 28 and the C-intercept is 450.

The C-intercept tells us that when there are 0 guests in the banquet, the cost would be $450.

3 0

3 years ago

Answer please answer please

Maru [420]

Step-by-step explanation:

angle EAB = 2x too, due to the laws of the same and mirrored angles when a line crosses 2 parallel lines.

the angle ABE is 180 - 6x, due to the fact that all angles around a single point on one side of a line ad up to 180 degrees.

similarly, the angle AEB is 180 - 4x.

and then we know the sum of all angles in a triangle is airways 180 degrees.

so,

180 = 2x + 180 - 4x + 180 - 6x

0 = 180 - 8x

8x = 180

x = 22.5

8 0

2 years ago