Without using a calculator, order the following expressions from least to greatest.

The piece-wise linear functions can be written as follows:

A linear function is modeled by:

y = mx + b

In which:

For x equal or less than -2, the line passes through (-3,-3) and (-2,-2), hence the rule is:

\(f(x) = x, x \leq -2\).

For x greater than -2 up to 1, the y-intercept is of -7, and the line also passes through (1,-8), hence the rule is:

\(f(x) = -x - 7, -2 < x \leq 1\).

For x greater than 1, the function goes through (2,-5) and (3,-3), hence the slope is:

m = (-3 - (-5))(3 - 2) = 2.

The rule is:

y = 2x + b.

When x = 2, y = -5, hence:

-5 = 2(2) + b

b = -9.

Hence:

\(f(x) = 2x - 9, x > 1\).

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Answer:

(3x5 - 10) • (10x5 + 3)

Step-by-step explanation:

Answer:

X/120=1/24

5/120=1/24 24×5=120

Step-by-step explanation:

Answer:

Eliminate the denominators of the fractions 120⋅x/200=120⋅2/41

Cancel the multiplied terms that are in the denominator 120

x=120⋅1/4

x=5

The answer is x=5

The probability that she picks a blue marble three times in a row is 1/125.

Given that

Samantha has a bag of 5 different colored marbles.

She randomly picks a marble from the bag, records the color, and returns it to the bag before picking another marble.

We have to determine

What is the probability that she picks a blue marble three times in a row?

According to the question

Samantha has a bag of 5 different colored marbles.

She randomly picks a marble from the bag, records the color, and returns it to the bag before picking another marble.

The probability of picking a bag one time is,

Number of bag pack at a time

Total number of bag

=1/5

The probability of picking a bag second time is,

Number of bag pack at a time Total number of bag

=1/5

The probability of picking a bag third time is,

Number of bag pack at a time

Total number of bag

=1/5

031%

Therefore,

The probability that she picks a blue marble three times in a row is,

= 1/5 X 1/5 X 1/5

1 /125

Hence, the probability that she picks a blue marble three times in a row is 1/125.

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Step-by-step explanation:

hope this helps

The two tanks differ in terms of Filling rates and initial volumes.

We can work with the equation for tank A, which represents a linear relationship between the volume of liquid in the tank (y) and the time it has been filling (x).

The equation y = 75x + 110 tells us that the tank A is filling at a constant rate of 75 units per minute, starting with an initial volume of 110 units.

To analyze the data for tank B, we would need to know the volumes of the tank at different times as it is being filled.

If the relationship for tank B is also linear, we could find the equation that represents it by using two points from the table and the slope-intercept form of a linear equation (y = mx + b). Once we have both equations, we can compare them to see how the two tanks differ in terms of filling rates and initial volumes.

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Answer: These are non- consistent and can be solved. The signs of the y terms are the opposite.

Step-by-step explanation: If the signs are the same, and all the terms of one equation are multiples of the other, they are identies, with infinite solutions. We can solve this system by multiplying the first equation by 2, adding the equations to cancel the y terms, and solve for x.

2(3x+y=5) becomes

6x +2y= 10 Add it to the other equation

6x -2y= 10 We are left with

12x = 20 Solve for x

x = 5/3 Substitute for x and solve for y.

3(5/3) + y = 5

5 + y = 5. Subtract 5 from both sides.

y = 0

The solution to this system is (5/3 , 0)

Answer:

I think A, but if not I am soooooo sorry

Answer:

whats the question

Answer:

Maybe they are all 13s th am sure

The first step in isolating the variable in this equation is to subtract 75 from both sides. Option A is correct.

The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.

here,
Given expression,
1/2p + 75 = 100

In order to isolate the variable our first step should be to subtract 75 from both sides
1/2P = 25

Then, multiply by 2 on both sides
P = 50

Thus, the first step in isolating the variable in this equation is to subtract 75 from both sides. Option A is correct.

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Answer:

I love Spanish food said Jim

I'm going to Singapore next month said Emily

Answer:

1) Jim said that he loves spanish food.

2) Emily said that she is going to SINGAPORE next month.

Step-by-step explanation:

I hope it helps.

No, his answer is not correct because each of the smaller divisions represents 1/6, not 3.

Mark's answer is not correct.

When dividing a number line into equal sections, the value of each section represents a fraction of the whole.

In this case, Mark divided the number line from 0 to 1 into 3 equal sections and then divided each of those sections into 2 equal parts.

Initially, the whole number line from 0 to 1 represents the number 1. When Mark divided it into 3 equal sections, each section represents 1/3 (one-third) of the whole.

So far, this is correct.

However, when Mark further divided each of the 1/3 sections into 2 equal parts, each part represents 1/2 (one-half) of the 1/3 section.

So, each of these smaller divisions represents 1/2 \(\times\) 1/3 = 1/6 (one-sixth) of the whole.

Therefore, the correct representation of each of the smaller divisions is 1/6, not 3.

Mark made an error by mistakenly assuming that each smaller division represents the number 3.

In summary, Mark's answer of 3 is incorrect because each of the smaller divisions represents 1/6, not 3.

The correct representation for dividing the number line as described is 1/6.

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1. Ms. Merchlewitz was hiking over break. She started

in a valley 24 feet below sea level and hiked up a

small mountain to an elevation of 580 feet.

What is the total distance Ms. Merchlewitz hiked?

She stopped for lunch at the midpoint of her hike. What

was the elevation where Ms. Merchlewitz ate her lunch?

Part 1

Remember that the level zero is the sea level

so

She started in a valley 24 feet below sea level

-24 ft

and hiked up a small mountain to an elevation of 580 feet.

+580 ft

the distance is equal to

580-(-24)=580+24=604 ft

Part 2

the midpoint is equal to

604/2=302 ft

Answer:

Considering the expression as

\(\dfrac{3}{4} \cdot [8x+16]\)

We have

\(\dfrac{3}{4} \cdot [8x+16] = \dfrac{3}{4} \cdot 8x + \dfrac{3}{4} \cdot 16 = \boxed{6x + 12}\)

Answer: the answer is 4x^2

Step-by-step explanation:

hope it help

Answer:

The answers are 47 &12 for "q" & "△" respectively

Answer:

The measure of the diagonals are 10 units each.

Step-by-step explanation:

The diagonals of a rectangle are always equal (Refer to image).

⇒ -2x + 34 = 3x - 26

⇒ -2x + 60 = 3x

⇒ 60 = 5x

⇒ 60/5 = 5x/5

⇒ 12 = x

Now, let's substitute the value of x into any diagonal.

⇒ -2x + 34 = WY

⇒ -2(12) + 34 = WY

⇒ -24 + 34 = WY

⇒ 10 units = WY

Thus, the measure of the diagonals are 10 units each.

The value of side TS is,

⇒ TS = 28

First, we are going to divide the figure and named new points X and Y as:

Now, we know that TS is the sum of TX and XS.

TS = TX + XS

Additionally, TX has the same length of HJ, so:

TX = HJ = 14

Now, we want to know the length of YK, and we can calculate it using the following equation:

LK = LY + YK

LY = HJ,

so, LY = 14

And, 42 = 14 + YK

42 - 14 = YK

28 = YK

Finally, since T and S are midpoints, the length of XS is the half of the length of YK. It means that XS is:

XS = YK/2

XS = 28/2

XS = 14

Therefore, TS is equal to:

TS = TX + XS

TS = 14 + 14

TS = 28

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Answer:

\(\displaystyle{f(x)=3^x-5}\)

Step-by-step explanation:

Being translated up-down means that the value exists outside of x. Therefore, we can cancel B and C choice since those are horizontal (left-right) translation.

Our only choice is A and D. However, D is being translated up since it's +5. Thus, the only correct answer that a function is being translated down is:

\(\displaystyle{f(x)=3^x-5}\)

or A choice.

Answer:

Slope

Step-by-step explanation:

Slope-intercept in equation form is y = mx + b where m = slope and b = y-intercept.

Best of Luck!

Answer:

908.6

Step-by-step explanation:

64.9x 14

Answer: 908.6

Step-by-step explanation: don’t answer for points

Answer:

If x = 3, then y = -2 since the corresponding value of y for x=3 is -2 in the given table.

Step-by-step explanation:

The global maximum value of a differentiable function f(x) on a closed interval [a, b] must occur at a critical value or an endpoint is correct. Statement C.

The critical value is the value of x for which the double derivative of the function f(x) becomes zero.

When double derivative becomes zero, the graph of the function is neither increasing nor decreasing and hence, the the function attains either

a maxima or a minima.

Hence, he global maximum value of a differentiable function f(x) on a closed interval [a, b] must occur at a critical value or an endpoint.

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From the graph attached below, the solution to the system of linear inequalities are (1, 4)

A system of linear inequalities is a collection of linear inequalities in the same variables. The solution is any ordered pair that satisfies each of the inequalities.

In the problem given;

y < - x + 5 ...eq(i)

y ≥ 3x + 1 ...eq(ii)

To determine the solution to the system of linear inequalities, it is easier for us to use graphical method. This is simply done by plotting the points and determine the coordinate at which both inequalities intersect.

From the graph of the system of linear inequalities, the solution to this is (1, 4) which is option E

Kindly find attached graph below

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Answer:

1/4

Step-by-step explanation:

First you add all of the marbles in the bag which is 16 marbles.  The fraction of red marbles to the total would be 4/16.  In the simplest form that is 1/4. You can also just do 4 divide by 16 which gives you 0.25 and in decimal form that is 1/4.

Answer:

3n + 7 < 16

Step-by-step explanation:

7 more than 3 times a number, n, is less than 16 is represented by

3n + 7 < 16 where:

3n = three times a number, n,

+ 7 = 7 more than

and

< 16 = is less than 16.

Answer:

Step-by-step explanation:

Answer:

The distance to horizon is 25.64 miles for the parasail.

Step-by-step explanation:

The distance to horizon for a given height is given as

\(d=\sqrt{2hR}\)

Here

So the distance becomes

\(d=\sqrt{2hR}\\d=\sqrt{2\times 0.083\times 3959}\\d=\sqrt{657.194}\\d=25.6357 \text{ miles}\\d=25.64\text{ miles}\)

So the distance to horizon is 25.64 miles for the parasail.

Answer:

\(y=-\frac{2}{5}x-3\)

Step-by-step explanation:

Write in slope-intercept form,  y = m x +b .

Answer: m = -0.4

Step-by-step explanation: -7 - (-1) = -6 and 10 - (-5) =15, m=y/x so -6/15 equals -0.4.

Hope this helps!