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3 years ago

The table below shows the functions to represent the sale f(t), in thousands, of four companies in t years:

Mathematics

2 answers:

Misha Larkins [42]3 years ago

7 0

Answer c Company C and company D

Irina-Kira [14]3 years ago

4 0

Choice C , Company C and Company D. hope I helped.

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In krissy's collection, there are 20 action movies and 28 comedies. what is the ratio of comedies to action movies in krissy's c

Anvisha [2.4K]

28/20. Reduce to 7/5

4 0

3 years ago

For how many real values of x is <img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B120-%5Csqrt%7Bx%7D%7D%20" id="TexFormula1" title

leva [86]

A good place to start is to set $\sqrt{x}$ to y. That would mean we are looking for $\sqrt{120-y}$ to be an integer. Clearly, $y\leq 120$ , because if y were greater the part under the radical would be a negative, making the radical an imaginary number, not an integer. Also note that since $\sqrt{x}$ is a radical, it only outputs values from $[0,\infty]$ , which means y is on the closed interval: $[0,120]$ .

With that, we don't really have to consider y anymore, since we know the interval that $\sqrt{x}$ is on.

Now, we don't even have to find the x values. Note that only 11 perfect squares lie on the interval $[0,120]$ , which means there are at most 11 numbers that x can be which make the radical an integer. All of the perfect squares are easily constructed. We can say that if k is an arbitrary integer between 0 and 11 then:

$\sqrt{120-\sqrt{x}}=k \implies \\ \sqrt{x}=k^2-120 \implies\\ x=(k^2-120)^2$

Which is strictly positive so we know for sure that all 11 numbers on the closed interval will yield a valid x that makes the radical an integer.

5 0

3 years ago

If angle 5 is 120 degrees, what is the measure of angle 6? Why?

Sliva [168]

Answer:the measure of angle 6 is 60 degrees.

Step-by-step explanation:

The two horizontal lines ate straight and parallel lines. It is established that the sum of the angles on a straight line is 180 degrees. Looking at the given figure, angle 5 and angle 6 are on a straight line. Therefore

Angle 5 + angle 6 = 180 degrees. Therefore,If angle 5 is 120 degrees,then

Angle 6 + 120 = 180

Angle 6 = 180 - 120 = 60 degrees.

4 0

3 years ago

Read 2 more answers

3. Write an equation parallel to the line y = 2x – 2 which goes through (0,3)

solmaris [256]

Answer:

Ok y= 2x + b

b referring to any number less than -2 and more than -2

so y=2x+4 can work

Step-by-step explanation:

parallel lines in slope-intercept form have the same slope, i.e. the same 'm' value or coefficient of x but different interceptions

4 0

3 years ago

Which ordered pairs are in the solution set of the system of linear inequalities?

never [62]

Options:

(2, 2), (3, 1), (4, 2)

(2, 2), (3, –1), (4, 1)

(2, 2), (1, –2), (0, 2)

(2, 2), (1, 2), (2, 0)

Answer:

A. (2, 2), (3, 1), (4, 2)

Step-by-step explanation:

Given

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

$y < 2x + 3$

Required

Solve for x and y

To solve this, we make use of graphical method (see attachment for graph)

All points that lie on the shaded region are true for the inequality

Next, we plot each of the given options on the graph

A. (2, 2), (3, 1), (4, 2)

All 3 points lie on the shaded region.

Hence, (a) is true

8 0

3 years ago