How many different groups of students can show up for a seminar with an enrollment of <br> 17?

Please help!!! I’ll mark brainliest!! (Look at picture)

Svetllana [295]

Answer:

$\huge\boxed{\sf (x*4) + (x*5) = 54}$

Step-by-step explanation:

$\sf x(4+5) = 54\\\\Applying \ distributive \ property\\\\(x*4) + (x*5) = 54\\\\Distributive\ Property\ is:\\\\A(B+C) = (A*B)+(A*C)\\\\\rule[225]{225}{2}$

Hope this helped!

4 0

3 years ago

Consider this system of inequalities. x + y ≤ –3 y

Oksana_A [137]

The graph of a single linear inequality splits the coordinate plane<span> into two regions. On one side lie all the solutions to the inequality. On the other side, there are no solutions. Consider the graph of the inequality </span>y<span> < 2</span>x<span> + 5.

</span>

3 0

3 years ago

Read 2 more answers

Match each function with the expression representing Its Inverse function.

USPshnik [31]

Answer:

Step-by-step explanation:

1). g(x) = -0.5x

Equation form of the given function is,

y = -0.5x

Interchange x and y,

x = -0.5y

Solve for y,

y = $-\frac{x}{0.5}$

y = -2x

Inverse function will be,

$g^{-1}x=-2x$

2). h(x) = 4x

Equation form of the function will be,

y = 4x

Interchange x and y,

x = 4y

Solve for y,

y = $\frac{x}{4}$

Inverse function will be,

$h^{-1}(x)=0.25x$

3). y = x - 4

Interchange x and y,

x = y - 4

Solve for y,

y = x + 4

Therefore, inverse of the linear equation is,

y = x + 4

4). f(x) = $\frac{x}{2}$

Equation form of the function will be,

y = $\frac{x}{2}$ = x

Interchange x and y,

x = $\frac{y}{2}$

Solve for y,

y = 2x

Therefore, inverse function will be,

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

5). k(x) = x

Equation form of the function will be,

y = x

Interchange x and y,

x = y

Solve for y,

y = x

Inverse of the function 'f' will be,

$k^{-1}(x) =x$

6). p(x) = x + 4

Equation form of the function will be,

y = x + 4

Interchange x and y,

x = y + 4

Solve for y,

y = x - 4

Inverse of the function 'p' will be,

$p^{-1}(x)=x - 4$

7 0

3 years ago

The rate at which a body cools also depends on its exposed surface area S. If S is a constant, then a modification of (2), given

padilas [110]

Answer:

76.25°

Step-by-step explanation:

The solution to the differential equation is an exponential curve with a horizontal asymptote at Tm. It passes through (0, 145) and (30, 95), so the equation can be written as ...

T = 80 +65((95-65)/(145-65))^(t/30)

T = 80 +65(3/8)^(t/30)

That is, the temperature difference is reduced to 3/8 of its original value in 30 minutes.

Since the coffee in cup B cools twice as fast, it will cool to the same temperature (95°) in 15 minutes. In the next 15 minutes, the temperature difference will be reduced to (3/8)^2 of the original 80°, so will be 11.25°. That is, the temperature of cup B will be ...

11.25° +65° = 76.25°

after 30 minutes.

8 0

4 years ago

An engineer travels daily from home tothelaboratory each morning with an average commutetime of 24.6 minutes with a standard dev

charle [14.2K]

Answer:

1.74% probability that the commute takes more than 32 minutes.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 24.6, \sigma = 3.5$