solve the following inequality:
ALGEBRA 1

Answer:

OD.(x-3)(x-2)

Step-by-step explanation:

we need two numbers (negative ir positive) that multiply to get 6 abd add to get -5.

so its OD

as -3×-2=6

and -3+-2=-5

Answer:

56

Step-by-step explanation:

all your doing is removing the .053 to get your whole number

Answer:

(6,4)

Step-by-step explanation:

^^^

Hassan is incorrect because √0.15  is less than 0.4, and the value of  √0.15 is 0.3872 option third is correct.

Iteration is the process of repeating a procedure in order to produce a series of results.

We have:

= √0.15

[tex]= \rm \sqrt{{\dfrac{15}{100}}}[/tex]

[tex]= \rm \sqrt{{\dfrac{3}{20}}}[/tex]

= (1.732)/(4.472)

= 0.3872

√0.15 is less than 0.4.

Thus, Hassan is incorrect because √0.15  is less than 0.4, and the value of  √0.15 is 0.3872 option third is correct.

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Answer:

C

Step-by-step explanation:

Answer:

[tex]\textsf {0.08 miles per minute}[/tex]

Step-by-step explanation:

[tex]\textsf {Speed = Distance (Miles) / Time (Minute) }[/tex]

[tex]\textsf {Speed = 18 miles / 213 minutes }[/tex]

[tex]\textsf {Speed = 0.08 miles per minute }[/tex]

Answer:

The speed in miles per minute is 0.0845 mpm.

Step-by-step explanation:

The explanation above clearly states that a car travel a distance of 18 miles in a time of 213 minutes . And it is asking for speed in miles per minute. Keep this in mind that the symbol for miles per minute is mpm. Speed formula is distance ÷ time.

Speed = Distance ÷ Time

Speed = 18 m / 213 min

18 divided by 213 = 0.0845

speed = 0.0845 mpm

Therefore the speed in miles per minute is 0.0845 mpm.

The area of the rectangle is thirteen and one seventh cm2

A rectangle is a four-sided object that has two widths and two lengths. The sum of angles in a rectangle is 360 degrees.

Area of a rectangle = length x width

3 2/7 x 4

23/7 x 4 = 92 / 7 =  13 1/7 cm²

We conclude that the area of the rectangle is (13 + 1/7) cm²

For a rectangle of length L and width W, the area is:

A = L*W

Here we know that:

L = (3 + 2/7)cm

W = 4cm

Then the area is:

A = (3 + 2/7)cm*4cm = (12 + 8/7)cm² = (13 + 1/7) cm²

We conclude that the area of the rectangle is (13 + 1/7) cm²

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Answer:

2200 + 0.5x >= 2500

Step-by-step explanation:

x is the amount of sales

Answer:

Or if you don't want any rounding it will be 115.38461538461

The overhead cost would be assigned to Product J00A using the company's activity-based costing system is $4313.87.

The overhead cost that would be assigned to Product J00A using the company's activity-based costing system will be:

= ($86.50 × 34) + ($4.63 × 105) + ($52.16 × 17)

= $2941 + $486.15 + $886.72

= $4313.87

The overhead cost would be assigned to Product S06U using the company's activity-based costing system will be:

= ($86.50 × 43) + ($4.63 × 812) + ($52.16 × 32)

= $3719.50 + $3759.56 + $1669.12

= $9148.18

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Answer:

A^32

Step-by-step explanation:

Done

Answer:

Option D:  a³²

Step-by-step explanation:

Powers in this case multiply, 8*4=32

therefore answer D a³² is correct

Answer:

12 + [tex]4\sqrt{5}[/tex] approximates to 20.944

Step-by-step explanation:

VU - 8 units

UW - 4 units

VW - [tex]\sqrt{64+16} = \sqrt{80} =4\sqrt{5}[/tex]

12 + 4sqrt(5)

Answer:

6 (2 + √5) units

Step-by-step explanation:

Finding the length of the 3rd side :

*Applying Pythagorean Theorem*

The perimeter :

In the event that cells B1, C1, and D1 were highlighted and then used to fill E1, F1, and G1, the values we would see are A. Seat1Row2, Seat2Row2, Seat3Row2.

When using a spreadsheet, you can autofill succeeding cells if you highlight the preceding ones and then drag the cursor.

If Seat1Row1, Seat2Row1, and Seat3Row1 are in the cells B1, C1, and D1, then the spreadsheet would take note of the "1s" at the end of the values.

When it is then used to autofill the next cells, it would make this a 2 such that we see Seat1Row2, Seat2Row2, Seat3Row2.

If cells H1, I1, and J1 are filled, we would then see Seat1Row3, Seat2Row3, Seat3Row3.

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Answer:

Given - AC is parallel to DE

angle 3y + 28 = angle X ( Vertically opposite angles are equal).

3y + 28 = X

X + Y = 180° ( supplementary angles).

3y - X = (-28)

Solving both the equation we get

multiply eq 1 with 3

3x + 3y = 540

-X + 3y = (-28)

subtracting

4x = 568

x = 142°

3y + 28 = 142

3y = 142 - 28

3y = 114

y = 38°

Therefore the f is continuous on R , i.e. real numbers and f is not differentiable at 0 ,Option A and D is the correct answer.

A function is a mathematical statement which find relation between independent variable and dependent variable.

It always comes with a defined range and domain.

It is given that :

[tex]\rm f(x) = x^{1/3}\\\\LHD (at\; x = 0) = RHD (at \; x = 0)\\\\\= \lim_{x\rightarrow 0}\dfrac{f(x)-f(0)}{x-0}\\\\=\lim_{h\rightarrow 0}\dfrac{f(0-h)-f(0)}{0-h-0}[/tex]

[tex]=\lim_{h\rightarrow 0}\dfrac{f(0-h)-f(0)}{0-h-0} \\\\= \lim_{h\rightarrow 0}\dfrac{(-h)^{1/3}}{-h}\\\\\lim_{h\rightarrow 0}\dfrac{(-1)^{1/3}(h)^{1/3}}{-1*h}\\\\\lim_{h\rightarrow 0} (-1)^{-2/3}h^{-2/3}[/tex]

if we substitute h = 0 ,

Here, LHD and RHD does not exist at x = 0 So, f(x) is not differentiable at x = 0 .

Therefore the f is continuous on R , i.e. real numbers

and f is not differentiable at 0

Option A and D is the correct answer.

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Answer: (1, -4) or y = -4

Step-by-step explanation:

    Given:

y = 3x - 7

    Plug in the value of 1 for x - given to us by "(1, ?)

y = 3x - 7

y = 3(1) - 7

    Multiply:

y = 3 - 7

    Subtract:

y = -4

               y = -4

The probability of getting a heart from the first deck and then a diamond on the second deck will be 6.25%.

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

The probability of getting a heart from the first deck = 13/52.

And the probability of getting a diamond from the second deck = 13/52.

So, The probability of getting a heart from the first deck and then a diamond on the second deck will be,

Probability = (13/52) × (13/52) = 0.0625 = 6.25%

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Answer:

look the attachment in the above

Answer:

Angle ABC = 112°

Step-by-step explanation:

THAT IS CORRECT TRUST ME

Answer:

470.88 N

Step-by-step explanation:

F = ma

  48 ( 9.81) = 470.88 N      ( 105.958 lbs)

The least number of sweaters that must be produced each hour to earn a profit of at least $100 is 37.

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

We have:

A clothing manufacturer produces one type of sweater that earns $4 profit for each one sold.

Let x be the number of sweaters that must be produced each hour to earn a profit of at least $100

Total selling price if earns $4 profit for each one sold = 4x

The expenses for running the machine are $45 per hour.

4x - 45 ≤ 100

4x ≤ 145

x ≤ 145/4

x ≤ 36.25

Number of sweater(estimate value) = 37

Thus, the least number of sweaters that must be produced each hour to earn a profit of at least $100 is 37.

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Step-by-step explanation:

the perimeter is

2×length + 2×width = 1030 ft

length + width = 515 ft

length = width + 181

now we use that in the first equation :

(width + 181) + width = 515

2×width + 181 = 515

2×width = 334

width = 167 ft

because of

length = width + 181

length = 167 + 181 = 348 ft

The width and length of the rectangular field are 165.5 ft and 346.5 ft respectively.

Concept: Perimeter is the sum of the length of all sides of a figure/solid.

Given: Length = 181+width

Let width be equal to 'width' ft

Perimeter= 1030 feet

In a rectangle there are 2 length and 2 width so the perimeter of a rectangle is equal to 2*(181+ width) + 2width = 362 + 2width + 2 width = ⇒362 + 4width =1030 ft

4width = 662 ( on transposing)

width= 165.5 ft

length= 181+ 165.5 ft

length = 346.5 ft

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The transformation of a function may involve any change. The transformation of the function is Right shift by 90 units.

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs) etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

Left shift by c units:

y=f(x+c) (same output, but c units earlier)

Right shift by c units:

y=f(x-c)(same output, but c units late)

Vertical shift:

Up by d units: y = f(x) + d

Down by d units: y = f(x) - d

Stretching:

Vertical stretch by a factor k: [tex]y = k \times f(x)[/tex]

Horizontal stretch by a factor k: [tex]y = f\left(\dfrac{x}{k}\right)[/tex]

Since the function is transformed from f(x)=x to g(x)=x-90, therefore, the transformation of the function is Right shift by 90 units.

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Answer:

(–2, 0) and (2, 5)

(2, –1) and (10, 9)

Step-by-step explanation:

1. Find the slope of the what is considered perpendicular to -4/5. To do this, we simply use the reciprocal and multiply it by -1. Therefore, a perpendicular line would have a slope of 5/4.

2. Next, we can plug each of the ordered pairs into [tex]\frac{y2-y1}{x2-x1}[/tex] to see whether or not they have a slope of 5/4. We must do this to all of the ordered pairs until we find 2. Keep in mind that coordinates give you (x, y) in that order, so don't get the x's and y's confused. Additionally, it does not matter which coordinate goes first, just make sure that you get y2 and x2 from the same coordinate, and y1 and x1 from the same coordinate.

The list of equations is shown in the picture which equation has No Solution, One Solution, and Infinitely Many Solutions.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have given a linear equation in one variable.

[tex]\rm \dfrac{1}{2}y + 3.2y = 20[/tex]

After solving:

y = 5.40   (one solution)

[tex]\rm \dfrac{15}{2}+ 2z -\dfrac{1}{4}=4z+\dfrac{29}{4} -2z[/tex]

After solving:

[tex]\rm \dfrac{15}{2} -\dfrac{1}{4}=\dfrac{29}{4}[/tex]

[tex]\rm \dfrac{29}{4}=\dfrac{29}{4}[/tex] (Infinitely Many Solutions)

3z + 2.5 = 3.2 + 3z

2.5 = 3.2  (no solution)

Similarly, we can identify which equation has No Solution, One Solution, and Infinitely Many Solutions.

Thus, the list of equations is shown in the picture which equation has No Solution, One Solution, and Infinitely Many Solutions.

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Answer:

[tex]\textsf{C.} \quad \left(3,\dfrac{5}{2}\right)[/tex]

Step-by-step explanation:

Midpoint between two points

[tex]\textsf{Midpoint}=\left(\dfrac{x_2+x_1}{2},\dfrac{y_2+y_1}{2}\right)\quad \textsf{where}\:(x_1,y_1)\:\textsf{and}\:(x_2,y_2)\:\textsf{are the endpoints}}\right)[/tex]

Define the endpoints of the line segment:

[tex]\textsf{Let }(x_1,y_1)=(-1,2)[/tex]

[tex]\textsf{Let }(x_2,y_2)=(7,3)[/tex]

Substitute the defined endpoints into the midpoint formula and solve:

[tex]\implies \textsf{Midpoint}=\left(\dfrac{7+(-1)}{2},\dfrac{3+2}{2}\right)[/tex]

[tex]\implies \textsf{Midpoint}=\left(3,\dfrac{5}{2}\right)[/tex]

Midpoint

The changes in account balances for Elder Company for 2021 are net income will be $160000

We have given debt common stock = $680000

Credit liabilities = 350000

Credit paid in capital = 190000

And an excess of par 30,000 credit Assuming the only changes in retained earnings

So 680000 = 350000+190000+30000+ retained earning

Net income is an entity's income minus the cost of goods sold, expenses, depreciation and amortization, interest, and taxes for an accounting period.

So retained earning = $110000

Dividend paid = $50000

So Net income = dividend paid + retained earning

Net income = $110000+$50000

Net income = $160000

So option (c) will be the correct answer.

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[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \: x = 3[/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

[tex]\qquad \tt \rightarrow \: log_{2}(x - 1) log_{2}(x + 5) = 4[/tex]

[tex]\qquad \tt \rightarrow \: log_{2} \{(x - 1)(x + 5) \} = 4[/tex]

[ log (x) + log (y) = log (xy) ]

[tex]\qquad \tt \rightarrow \: ( x - 1)(x + 5) = {2}^{4} [/tex]

[tex]\qquad \tt \rightarrow \: {x}^{2} + 5x - x - 5 = 16[/tex]

[tex]\qquad \tt \rightarrow \: {x}^{2} + 4x - 5 - 16 = 0[/tex]

[tex]\qquad \tt \rightarrow \: {x}^{2} + 4x -21 = 0[/tex]

[tex]\qquad \tt \rightarrow \: {x}^{2} + 7x - 3x - 21 = 0[/tex]

[tex]\qquad \tt \rightarrow \: x(x + 7) - 3(x + 7) = 0[/tex]

[tex]\qquad \tt \rightarrow \: (x + 7)(x - 3) = 0[/tex]

[tex]\qquad \tt \rightarrow \: x = - 7 \: \: or \: \: x = 3[/tex]

The only possible value of x is 3, since we can't operate logarithm with a negative integer in it.

[tex]\qquad \tt \rightarrow \: x = 3[/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Answer:

an= -3+5(n-1)

Step-by-step explanation:

Try writing out the terms and finding a pattern. In this case, inserting any plotted x-value into the sequence -3+5(n-1) produces the correct y-value.

Answer:

A.) an = -3 + 5(n - 1)

Explanation:

Given: (1, -3), (2, 2), (3, 7), (4, 12), (5, 17)

Arithmetic Series: a + (n - 1)d

['a' is first term, 'n' determines term position, 'd' is common difference]

Determine the following:

Putting into equation:

Answer:

Last choice, [tex]\sqrt{15}[/tex] is irrational and [tex]\sqrt{0.001}[/tex] is rational

Step-by-step explanation:

Rational Numbers: Any number that can be written as a ratio (or fraction) of two integers, ex. 0.4

Irrational Numbers: A type of real number which cannot be represented as a simple fraction (non ending decimal), ex. 0.4161446

[tex]\sqrt{15} = 3.8729[/tex] making it irrational

[tex]\sqrt{0.001} = 1/1000[/tex] making it rational

Hence, the last choice is correct

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