The inequality x < 9 or x ≥ 14 can be used to represent the hourly wage, x, of each employee at a store. Which are possible values for x? Check all that apply. $8 $9 $11 $13 $14 $15

Answer: Option 'b' is correct.

Step-by-step explanation:

Since we have given that

Amount Josh is able to save = $480

Number of hours of work each week = 5

Number of weeks = 3

So, Amount Josh makes is given  by

[tex]\dfrac{480}{5\times 3}\\\\=\dfrac{480}{15}\\\\=\$32[/tex]

Similarly,

Number of hours of work each week by Greg = 8

Number of weeks = 3

So, Amount Greg makes is given by

[tex]\dfrac{480}{3\times 8}\\\\=\dfrac{480}{24}\\\\=\$20[/tex]

More amount of money that Josh make than Greg is given by

[tex]32-20\\\\=\$12[/tex]

Hence, Option 'b' is correct.

Answer:

[tex]\frac{4,671}{59} pounds[/tex] of mulch and [tex]\frac{5,536}{59}pounds[/tex] of gravel were sold.

Step-by-step explanation:

Mass of mulch sold = x pounds

Mass of gravel sold = y pounds

Total mass of mulch and gravel sold = 173 pounds

x + y = 173 ...[1]

Supplier sells [tex]2\frac{1}{4}[/tex] pounds of mulch for every [tex]1\frac{1}{3}[/tex] pounds of gravel.

That is for [tex]\frac{9}{8}[/tex] pounds of mulch for every [tex]\frac{4}{3}[/tex] pounds of gravel.

Then gravel sold for 1 pound mulch = [tex]\frac{4}{3}\times \frac{8}{9}=\frac{32}{27} pounds[/tex]

Then for x pounds of mulch the gravel sold will be:

[tex]\frac{32}{27} pounds\times x[/tex]

Mass of gravel sold = [tex]y = \frac{32}{27} pounds\times x[/tex]

Putting value of y in [1] :

[tex]x + \frac{32}{27} pounds\times x = 173[/tex]

x =[tex]\frac{4,671}{59} pounds[/tex]

y = [tex]173 pounds -\frac{4,671}{59} pounds=\frac{5,536}{59}pounds[/tex]

[tex]\frac{4,671}{59} pounds[/tex] of mulch and [tex]\frac{5,536}{59}pounds[/tex] of gravel were sold.

Final answer:

Juan breaks even on day 5 as the expression 16 + (–16) equals zero, indicating that his earnings match his expenses.

Explanation:

You've asked whether Juan breaks even on day 5 when he records the expression 16 + (–16). In mathematics, breaking even means that income equals expenses, resulting in a net change of zero. The expression Juan recorded represents earning 16 units of money and spending 16 units of money. The negative sign in front of the second number indicates money going out, which is his expense.

To determine if he breaks even, we add the amounts together: 16 + (–16) = 0. Since the sum is zero, Juan does not gain or lose any money, which means he does indeed break even on day 5.

Answer:

P is True and q true is , so the statement, "A square root of 16 is 4 or a square root of 9 is -3" is false .

Explanation:

The table of conjunctions show:

The first statement, "A square root of 16 is 4," (p), is true.

The second statement, "a square root of 9 is -3," (q), is true.

The value of k, which forms a line perpendicular to y=3x-9 passing through the points (2,1) and (k,5), is -2. This is determined by using the slope formula and the property that the slope of a line perpendicular to a given line is the negative reciprocal of the given line's slope.

The subject of this question is linear equations in mathematics, specifically about finding the slope and working with perpendicular lines. The given equation, y=3x-9, represents a line in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept. In this given equation, the slope (m) is 3 and the y-intercept (b) is -9.

If another line is perpendicular to this line, its slope is the negative reciprocal of the given line's slope. Therefore, the slope of the line that passes through the points (2,1) and (k,5) would be -1/3.

The slope formula, (m = (y2 - y1) / (x2 - x1)), can be used to find the value of k. So, we have -1/3 = (5 - 1) / (k - 2). From this, you can solve for k to find that k = -2.

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Answer:

The equation of the graphed line written in standard form is:x-y=0

Step-by-step explanation:

we know that for graphing lines the equation of a line must be in standard form.

the standard form of a line is given by [tex]ax+by=c[/tex] where a,b,c are some real numbers.

hence, in the given question for graphing our line we must use the equation [tex]x-y=0[/tex] because on comparing it to the general equation of the line [tex]ax+by=c[/tex] we have here a=1, b=-1 and c=0.

therefore the standard form is: [tex]x-y=0[/tex]

Answer:

C. x – y = 0

Step-by-step explanation:

edg. 2020 quiz

Answer:     4 1/2 in

Step-by-step explanation: correct on gradpoint

We are given a triangle JKL.

<J =5x°

<K = 2x°

<L = 3x°.

Note: Sum of angles of a triangle is 180°.

Therefore, <J +<K+<L = 180°.

5x +2x+3x = 180°.

10x = 180

Dividing both sides by 10, we get

10x/10=180/10

We need to find the m<L.

m<L =3x° = 3(18) = 54°.

Answer:

The pair which are inverse of each other are:

Option: C

[tex]f(x)=11x-4\ and\ g(x)=\dfrac{x+4}{11}[/tex]

Step-by-step explanation:

Two functions f(x) and g(x) are said to be inverse of each other if:

fog(x)=gof(x)=x

i.e. the composition of two functions give identity no matter what the order is.

A)

[tex]f(x)=\dfrac{x}{12}+15[/tex] and [tex]g(x)=12x-15[/tex]

Now we calculate fog(x):

[tex]fog(x)=f(g(x))\\\\fog(x)=f(12x-15)\\\\fog(x)=\dfrac{12x-15}{12}+15\\\\fog(x)=x-\dfrac{15}{12}+15\\\\fog(x)=x-\dfrac{55}{4}\neq x[/tex]

Hence, option: A is incorrect.

B)

[tex]f(x)=\dfrac{3}{x}-10\ and\ g(x)=\dfrac{x+10}{2}[/tex]

Now we calculate fog(x):

[tex]fog(x)=f(g(x))\\\\fog(x)=f(\dfrac{x+10}{3})\\\\fog(x)=\dfrac{3}{\dfrac{x+10}{3}}-10\\\\fog(x)=\dfrac{9}{x+10}-10\neq x[/tex]

Hence, option: B is incorrect.

D)

[tex]f(x)=9+\sqrt[3]{x}\ and\ g(x)=9-x^3[/tex]

Now we calculate fog(x):

[tex]fog(x)=f(g(x))\\\\fog(x)=f(9-x^3)[/tex]

[tex]fog(x)=9+\sqrt[3]{9-x^3}\neq x[/tex]

Hence, option: D is incorrect.

C)

[tex]f(x)=11x-4\ and\ g(x)=\dfrac{x+4}{11}[/tex]

Now we calculate fog(x):

[tex]fog(x)=f(g(x))\\\\fog(x)=f(\dfrac{x+4}{11})[/tex]

[tex]fog(x)=11\times (\dfrac{x+4}{11})-4\\\\fog(x)=x+4-4\\\\fog(x)=x[/tex]

Similarly,

[tex]gof(x)=g(f(x))\\\\gof(x)=g(11x-4)\\\\gof(x)=\dfrac{11x-4+4}{11}\\\\gof(x)=\dfrac{11x}{11}\\\\gof(x)=x[/tex]

Hence, option: C is the correct option.

Answer:

D.f(x)=8x³+6 and g(x)=³x-6/8

Step-by-step explanation:

apex

Answer:

As Given :The coordinates of the vertices of △JKL are J(3, 0) , K(1, −2) , and L(6, −2) . The coordinates of the vertices of △J′K′L′ are J′(−3, 1) , K′(−1, 3) , and L′(−6, 3) .

⇒As we can see the two triangles are congruent because length of sides are equal.i.e By SSS  ΔJKL and ΔJ'K'L' are congruent.

⇒ As you can see from the figure depicted below the triangle JKL is rotated by an angle of 180° then translation of y coordinate by 1 unit up has taken place.

So , Option (3) is correct which is :△JKL is congruent to △J′K′L′ because you can map △JKL to △J′K′L′ using a rotation of 180° about the origin followed by a translation 1 unit up, which is a sequence of rigid motions.

From the two original statements above, the answer would be yes, a true conclusion can be met since then It is summer.

Multiply the total number of possible outcomes by the total number of events. Divide the total number of ways the event can occur by the total number of possible outcomes after determining the probability event and its corresponding consequences.

Given:

1) If it is June, then it is summer.

2) It is summer.

Based on the two original statements, a true conclusion can be made.

Statement 1) says that if it is June, then it is summer. Statement 2) says that it is summer.

Therefore, we can conclude that it is possible that it is June.

However, we cannot conclude for certain that it is June, because there could be other times of the year when it is also summer (depending on the geographic location). For example, in the southern hemisphere, December is summer, not June.

So a possible true conclusion based on these statements is "It is possible that it is June."

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The number 0.66 can be written as a terminating decimal as a quotient of integers is 33/50.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

The decimal number is 0.66 which is non-terminating.

As we know, the arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

We can write the number 0.66 as:

= 66/100

= On simplification:

= 33/50

Thus, the number 0.66 can be written as a terminating decimal as a quotient of integers is 33/50.

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Answer:

g>5

Step-by-step explanation:

g-6>-1

+6 to both sides

g is left alone :)

The optimal least squares fit for the given data is y = 0.2732x² - 0.6452. This curve minimizes the sum of squared errors, providing an accurate representation of the data.

The provided data points are (-1, 0), (5, 5), and (6, 10), denoted as {x} = [-1, 5, 6] and {y} = [0, 5, 10]. The goal is to find the least squares fit for the curve y = ax² + b. To minimize the sum of squared errors between the data and the curve, the normal equations are derived.

The normal equations are given by:

(x₁⁴ + x₂⁴ + x₃⁴)a + (x₁² + x₂² + x₃²)b = x₁²y₁ + x₂²y₂ + x₃²y₃ (Equation 1)

(x₁² + x₂² + x₃²)a + 3b = y₁ + y₂ + y₃ (Equation 2)

By substituting the given data, the equations become:

1922a + 62b = 485

62a + 3b = 15

Solving these equations yields the values: a = 0.2732 and b = -0.6452. Therefore, the curve of the best least squares fit is y = 0.2732x² - 0.6452.

In conclusion, the curve that minimizes the sum of squared errors for the provided data points is y = 0.2732x² - 0.6452. The graph of this curve, along with the given data, visually represents the accuracy of the least squares fit.

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Answer: Letter B.

Step-by-step explanation:

Hidemi will receive a tip approximately amount of $13.50 which is the correct answer would be option (C).

Hidemi works as a waiter. He serves a table of four with a bill of $90.27. If Hidemi gets a 15% tip which is given in the equation.

The percentage is defined as a ratio stated as a fraction of 100.

For example, if Shekharaman received a 57% on his quiz, she received a 67 out of 100. It is written as 57/100 in fractional form and 57:100 in ratio form.

We have to determine the evaluation of 15% of $90.27.

⇒ 15% of 90.27

15% is described as 15/100 in fractional form

⇒ (15/100)(90.27)

15/100  is expressed as 0.15 in decimal form

⇒ (0.15)(90.27)

Apply the multiplication operation, and we get

⇒ 13.540 ≈ 13.50

Therefore, He will receive a tip approximately amount of $13.50.

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Answer:

401 students voted for the trip .

Step-by-step explanation:

As given in the question

535 students of the senior class voted to take a field trip[tex]\frac{3}{4}[/tex] of the class voted .

Thus

[tex]Students\ voted\ for\ the\ trip = \frac{3}{4}\times Total\ students[/tex]

Put value in the above

[tex]Students\ voted\ for\ the\ trip = \frac{3\times 535}{4}[/tex]

[tex]Students\ voted\ for\ the\ trip = \frac{1605}{4}[/tex]

                                                        = 401

Therefore 401 students voted for the trip .

Answer:

THE THERD OPTOIN YALL TRUST ME PLEASE

Step-by-step explanation: