Can someone pls answer both answers? Thank you so much :3

Tina earned $300. This amount represented 40% of the money she needed to pay for her senior trip. What is the cost of the senior

ludmilkaskok [199]

Answer:

she needed $480 to pay for her trip

7 0

3 years ago

Solving Rational Inequalities and use sign diagram to sketch the graph. Image attached for better understanding.

hjlf

Answer:

x ∈ (-∞ , -2) ∪ (1, 3)

Step-by-step explanation:

The expression is already factored. Note that for the polynomial that appears in the numerator $(x-3)(x + 2)$ there are 2 roots:

$x = 3\\x = -2$

For the polynomial that appears in the denominator there is 1 root:

$x = 1$

Note that $x = 1$ does not belong to the domain of f(x) because it zeroes the denominator of the function and the division between zero is not defined.

With these three roots we do the study of signs to find out when $f(x)$

Observe the attached image

Note that:

$(x-3)$ when $x$

$(x + 2)$ when $x$

$(x-1)$ when $x$

Finally, we have the solution:

x ∈ (-∞ , -2) ∪ (1, 3)

5 0

3 years ago

Evaluate 20/y - 8/x + 3xy/x+y when x=2 and y=5

Lesechka [4]

20(5)-8(2)+3(2-5)+5
100-16-9= 79

6 0

3 years ago

How would I do this?

katrin2010 [14]

Answer: 68 degrees

Step-by-step explanation:

The sum of the angles in a triangle is 180 degrees.

Since we are given 2 of the angles, we can set up an equation.

Let the measure of angle G = g.

Then, g + 97 + 15 = 180

g + 112 = 180

g = 68

6 0

2 years ago

Read 2 more answers

In a certain region, about 6% of a city's population moves to the surrounding suburbs each year, and about 4% of the suburban po

Sedbober [7]

Answer:

City @ 2017 = 8,920,800

Suburbs @ 2017 = 1, 897, 200

Step-by-step explanation:

Solution:

- Let p_c be the population in the city ( in a given year ) and p_s is the population in the suburbs ( in a given year ) . The first sentence tell us that populations p_c' and p_s' for next year would be:

0.94*p_c + 0.04*p_s = p_c'

0.06*p_c + 0.96*p_s = p_s'

- Assuming 6% moved while remaining 94% remained settled at the time of migrations.

- The matrix representation is as follows:

$\left[\begin{array}{cc}0.94&0.04\\0.06&0.96\end{array}\right] \left[\begin{array}{c}p_c\\p_s\end{array}\right] = \left[\begin{array}{c}p_c'\\p_s'\end{array}\right]$

- In the sequence for where x_k denotes population of kth year and x_k+1 denotes population of x_k+1 year. We have:

$\left[\begin{array}{cc}0.94&0.04\\0.06&0.96\end{array}\right] x_k = x_k_+_1$

- Let x_o be the populations defined given as 10,000,000 and 800,000 respectively for city and suburbs. We will have a population x_1 as a vector for year 2016 as follows:

$\left[\begin{array}{cc}0.94&0.04\\0.06&0.96\end{array}\right] x_o = x_1$

- To get the population in year 2017 we will multiply the migration matrix to the population vector x_1 in 2016 to obtain x_2.

$x_2 = \left[\begin{array}{cc}0.94&0.04\\0.06&0.96\end{array}\right]\left[\begin{array}{cc}0.94&0.04\\0.06&0.96\end{array}\right] x_o$

- Where,

$x_o = \left[\begin{array}{c}10,000,000\\800,000\end{array}\right]$

- The population in 2017 x_2 would be:

$x_2 = \left[\begin{array}{cc}0.94&0.04\\0.06&0.96\end{array}\right]\left[\begin{array}{cc}0.94&0.04\\0.06&0.96\end{array}\right] \left[\begin{array}{c}10,000,000\\800,000\end{array}\right] \\\\\\x_2 = \left[\begin{array}{c}8,920,800\\1,879,200\end{array}\right]$

5 0

4 years ago