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Answer:   [tex]3 \le x \le 5[/tex]

x is any real number between 3 and 5, including both endpoints

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Explanation:

If A < B, then 1/A > 1/B. Applying the reciprocal flips the inequality sign.

For example, if 2 < 3, then 1/2 > 1/3. It might help to look at the decimal representations

1/2 = 0.500

1/3 = 0.333

We see that 1/2 is larger.

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The inequality [tex]x < y < z[/tex] is the same as [tex]x < y \ \text{ and } \ y < z[/tex].

We've broken the single inequality into two smaller parts.

The given inequality breaks down into [tex]\frac{1}{6} \le \frac{1}{x+1}[/tex] and [tex]\frac{1}{x+1} \le \frac{1}{4}[/tex]

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Let's solve the first inequality for x

[tex]\frac{1}{6} \le \frac{1}{x+1}\\\\6 \ge x+1\\\\6-1 \ge x\\\\5 \ge x\\\\x \le 5[/tex]

Repeat for the other inequality as well

[tex]\frac{1}{x+1} \le \frac{1}{4}\\\\x+1 \ge 4\\\\x \ge 4-1\\\\x \ge 3\\\\[/tex]

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We found that [tex]x \ge 3 \ \text{ and } \ x \le 5[/tex]

This is the same as [tex]3 \le x \ \text{ and } \ x \le 5[/tex] which combines to [tex]3 \le x \le 5[/tex]

Answer:

The slope is -0.5 or -1/2

Step-by-step explanation:

the slope of a line is easily calculated by hand using small, whole number coordinates. The formula becomes increasingly useful as the coordinates take on larger values or decimal values.

It is worth mentioning that any horizontal line has a gradient of zero because a horizontal line has the same y-coordinates. This will result in a zero in the numerator of the slope formula. On the other hand, a vertical line will have an undefined slope since the x-coordinates will always be the same. This will result the division by zero error when using the formula.

Answer:

Fractions are not even numbers or odd numbers, because they are not whole numbers. They are only parts of numbers, and can be written in different ways.

Step-by-step explanation:

Answer:

[see below]

Step-by-step explanation:

[tex]w=5(3a-b)+2\\\\w-2=5(3a-b)+2-2\\\\w-2=5(3a-b)\\\\\frac{w-2=5(3a-b)}{5}\\\\\frac{w-2}{5} =3a-b\\\\\frac{w-2}{5} +b=3a-b+b\\\\\frac{w-2}{5} +b=3a\\\\\frac{\frac{w-2}{5} +b=3a}{3}\\\\ \frac{w-2+5b}{15}=a\\\\ \boxed{a= \frac{w-2+5b}{15}}[/tex]

Hope this helps.

Answer:

I believe if you have a letter with no value or the value is unknown you put it over 1

Answer:

x = -2/3

Step-by-step explanation:

24 - 3x = -6x + 22

solve using inverse operations

24 - 3x = -6x + 22

    + 6x     + 6x

24 + 3x = 22

-24         -24

3x = -2

/3    /3

x = -2/3

Answer:

251 miles

Step-by-step explanation:

To answer this, we first must subtract the total Bill ended up paying by the base fee:

222.77 - 16.95 = 205.82

Now, we divide this total by 82 cents:

205.82 / 0.82 = 251

So, Bill drove the truck 251 miles

Hope this helps :)

Answer:

M=-1/4

Step-by-step explanation:

Use the slope intercept form y=mx+b to find the slope m.

Answer:

The slope of the equation: y=-1/4x+7 is -1/4

The slope of the equation: y=-3x+5 is -3

Step-by-step explanation:

It is easier to think of the slope at the number behind the x variable. But algebraically, y=mx+b is the formula and the number that is in the value of m is the slope of the linear function.

Answer:

Step-by-step explanation:

Expressions given and solved

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-7 -6 -5 -4 -3  |-2|-1 0 1 2 3 4 |5| 6 7

Answer:

C) [tex] {6}^{6} [/tex]

[tex] \frac{ {6}^{9} }{ {6}^{3} } = {6}^{9 - 3} = {6}^{6} [/tex]

Answer: none of the above

Step-by-step explanation: there is no such input value.

Answer:

None of the above because none of the other answers make sense

Step-by-step explanation:

Answer:

12 students

Step-by-step explanation:

Given that:

Eighth grade student = 72

Sixth grade student = 84

To group the students into the largest possible equal group with no student left, obtain the greatest common factor of the number of sixth grade and eighth grade student

Factors of 72:

72 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36

84 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 81

The greatest factor common in both numbers is 12.

Answer:

These types of angles are supplementary.

b. x + 75 +x +125 = 180

=> 2x = 180–200

=> 2x = –20

=> x = –20/2

=> x = –10

Bonus question:-

angle 1 = 48°

angle 2 = 180° –78°

= 102°

value of f :-

f + 48 + 102 = 180

=> f + 150 = 180

=> f = 180–150

=> f = 30°

Answer:

Step-by-step explanation:

x + 64 > = 120 (thats a greater then or equal sign)

x > = 120 - 64

x > = 56...he needs to collect at least 56 more

Step-by-step explanation:

Okay, don't panic. Use M-a-t-h-w-a-y. It's online and it can help with all of these problems. <3 I currently have my own OVERDUE math test to do, so I would do this all but I'm time-tight too! aha

Answer:

The expected value of the proposition is -$0.76.

Step-by-step explanation:

It is provided that a basketball player has made 291 out of 389 free throws.

Then rate of him making a free throw is,

[tex]P(\text{free throw})=\frac{291}{389}=0.7481[/tex]

The probability that he makes the next 2 free throws is:

[tex]P(\text{Next 2 free throws})=(0.7481)^{2}=0.5596[/tex]

The payout rules are:

Compute the expected value of the proposition as follows:

Expected value = $38 × P (Makes both) + (-$50) × P (Misses both)

                          [tex]=($38\times 0.5596)+(-$50\times (1-0.5596))\\=21.2648-22.02\\=-0.7552\\\approx -$0.76[/tex]

Thus, the expected value of the proposition is -$0.76.

Answer:

No, this is not a function.

Step-by-step explanation:

This is not a function because not every input goes to exactly one output. In this example, 2 is listed twice. 2 goes to both 4 and 8. Because of this, it is not a function.

Answer:

A, 12.5

Putting them in order was this:

10, 11, 11, 11, 12, 13, 13, 15, 15, 17

and the median is between 12 and 13, which is 12.5

(Hope that helps you. ^^)

Answer:

no

yes

Step-by-step explanation:

y < 5x - 4

1 < 5(1) - 4

1 < 1

This is not a true statement. 1 cannot be less than 1 itself so the answer is no.

7x - 4 < 28

7(0) - 4 < 28

-4 < 28

This is a true statement so the answer is yes.

Answer:

57 degrees

Step-by-step explanation:

value of x = 29

Answer:

57

Step-by-step explanation:

(4x + 7) + (2x -1) = 180

6x + 6 = 180

6x = 174

x = 29

(2(29) -1 )

(58 - 1)

(57)

Answer:

If it is square: B) 40. If not squaring 2 use: A) 16.

Step-by-step explanation:

f(6)= (6)^2 + 4 = 40

f(6)= 2(6) + 4 = 16

Answer:

Distributive Property

Step-by-step explanation:

a(b + c) = ab + ac

Answer:

Commutative property

Step-by-step explanation:

plz give brainliest lol

Answer:D

Step-by-step explanation:s aThe function is always increasing because wether the value of x increases or decreases, the value of f(x) is increasing as well

Answer:

[tex]-9.31x^2+56.26x[/tex]

Step-by-step explanation:

Let the quadratic function be:

[tex]h=ax^2+bx+c[/tex]

Where [tex]h[/tex] is the height of soccer ball and

[tex]x[/tex] is the time in seconds.

Initially, at time [tex]x=0\Rightarrow h=0[/tex]

Therefore, [tex]c=0[/tex]

Given that,

[tex]x=3, h=85\\and\\x=6, h=2.5[/tex]

Putting the values and making equations in [tex]a,b[/tex] :

[tex]85=9a+3b\\2.5=36a+6b[/tex]

By solving the above equations, we get:

[tex]a=-9.31\\ and\\b =56.26[/tex]

So, the quadratic expression is:

[tex]-9.31x^2+56.26x[/tex]

Answer:

The security cost is 575

Step-by-step explanation:

Given

[tex]y = 151x + 575[/tex]

x = days

y = cost

Required

Determine the security deposit

From the equation, we understand that

x represent days:

This implies that

151x represent the payment for x days.

So, the security cost is 575

Answer:ririiriririrjrhr

Step-by-step explanation:

Eudueuei3iei

Answer:

3.27

Step-by-step explanation:

Hope it helps!!!

Answer:

The y-intercept is about  25.385

Step-by-step explanation:

Calculate slope from difference in  y-values divided by difference in x-values.

-15/13 is slope.

Use slope-intercept form.

Y= mx + b

Substitute values from given coordinates for y and x, then solve for b

-60 = -15/13(74) + b

-60 = -85.385 + b

-60 +85.385 = b

25.385 = b

The screenshot atttached shows the graph of this challenging question.