Using long division what is the quotient of this expression

3x^4-2x^3-x-4
———————-
X^2+2

Answer: -8

Step-by-step explanation:

First, you plug -1 in for x

[tex]f(x)=f(-1)=(-1)^2 -9[/tex]

[tex]=1-9=-8[/tex]

Answer:

[tex]=-\frac{37}{24}[/tex]

Step-by-step explanation:

[tex]-\frac{2}{3}+\left(-\frac{7}{8}\right)[/tex]
[tex]=-\frac{2}{3}-\frac{7}{8}[/tex] <- Apply the rule a + (-b) = a - b
[tex]=-\frac{16}{24}-\frac{21}{24}[/tex] <- The LCM of 3 and 8 is 24.
[tex]=\frac{-16-21}{24}[/tex] <- Apply the fraction rule [tex]\frac{a}{c}-\frac{b}{c}=\frac{a-b}{c}[/tex]
[tex]=\frac{-37}{24}[/tex] <- Subtract
[tex]=-\frac{37}{24}[/tex] <- Apply the fraction rule [tex]\frac{-a}{b}=-\frac{a}{b}[/tex]
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Answer:

-1.542

Step-by-step explanation:

(-2/3) + (-7/8)=-37/24=-1 13/24= -1.542

The first integer is 16 and the next two integers are 17 and 18. The largest one is 18

What in math is an integer?

The first integer will be called x. Consequently, the second integer is x+1 and the third is x+2 (this is because they are consecutive integers). The total of these three numbers is 51, so build up the following equation and answer it.

x+(x+1)+(x+2)=51

3x+3=51

3x=48

x=16

Therefore, the first integer is 16 and the next two integers are 17 and 18. The largest one is 18 and this is the answer.

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The weight of the fruits in ounces is 40 ounces

The pints of water dispensed after 50 seconds is 56 pints

The mathematical operations that would be used to determine the answer is multiplication. Multiplication is the process of determining the product of two or more numbers. Multiplication is represented with the sign - x.

A mixed fraction is a non-integer that is made up of a whole number and a proper fraction. An example of a mixed fraction is 2 1/2.

Weight of the fruits in ounces = 2 1/2 x 16

5/2 x 16 = 40 ounces

Pints of water dispensed after 50 seconds = gallon per second x 50 x 4 x 2

0.14 x 50 x 4 x 2 = 56 pints

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Using exponent properties, the equivalent expression is given as follows:

[tex]\left(\frac{2}{3}\right)^14[/tex]

Two thirds to the fourth power is given by:

[tex]\left(\frac{2}{3}\right)^4[/tex]

Two thirds to the third power is given by:

[tex]\left(\frac{2}{3}\right)^3[/tex]

When two terms with the same base and different exponents are multiplied, we keep the base and add the exponents, hence:

[tex]\left(\frac{2}{3}\right)^4 \times \left(\frac{2}{3}\right)^3 \left(\frac{2}{3}\right)^{4 + 3} = \left(\frac{2}{3}\right)^7[/tex]

Then, this entire expression is raised to the second power, meaning that:

[tex]\left[\left(\frac{2}{3}\right)^7\right]^2 = \left(\frac{2}{3}\right)^7 \times \left(\frac{2}{3}\right)^7 = \left(\frac{2}{3}\right)^{7+7} = \left(\frac{2}{3}\right)^14[/tex]

[tex]\left(\frac{2}{3}\right)^14[/tex] is the equivalent expression.

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The equation of the line that is parallel to y = 4x ₊ 3 and passes through the point (2,6) is  y = 4x ₋ 2.

The slope of the preceding equation is 4 because it is in slope intercept form. The slope of an equation is always equal for parallel lines, hence the slope of the equation we are requested to create is also 4.  We are given that this line passes through (2,6).

In the absence of intersection, two lines are said to be parallel. Each line has the same slope. In the event where m₁=m₂, f(x)=m₁x+b₁ and g(x)=m₂x+b₂ are. parallel

In order to write in y = mx +b form, we need to solve for b (the y-intercept).  

Given, x=2, y=6, and m = 4.

6 = (4) (2) ₊ b

simplify

6 = 8 ₊ b

solve for b.

b = 6 ₋ 8

b = ₋2

So the equation of the parallel line is   y = 4x ₋ 2

Hence we get the equation of the line that is parallel to y = 4x ₊ 3 and passes through the point (2,6) is y = 4x ₋ 2

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The angles ∠ABD and ∠CBD are equal to 144° and 50° respectively.

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The approximate location of the dolphin is 155 feet as it moves at the rate of 6.2 feet per second.

Rate in defined as the speed or the distance travelled by the dolphin in unit time.

Given the rate of the dolphin is  feet per second .

Time taken by the dolphin is 25 seconds.

∴ distance travelled is given by rate × time

Hence distance travelled is 6.2 × 25 = 155 feet

Therefore the approximate location is given by 155 feet from the starting point.

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There is no solution for the given equation i.e.10[x] =2.5

Equation:

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions.

Greatest integer function:

The largest integer function is one that yields an integer that is closest to the specified real value. Additionally known as the step function. The closest integer is used to round off the input using the biggest integer function. Thus, the equation to determine the largest integer is fairly straightforward. It is symbolised by [x]  where x can take on any value.

⇒10[x] =2.5

⇒[x] =[tex]\frac{2.5}{10}[/tex]

⇒[x] =0.25

⇒[x] will be always a interger.As a result there is no solution for the given equation.

Therefore,There is no solution for the given equation i.e.10[x] =2.5

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Answer:

0.139

Step-by-step explanation:

total = 43 + 56 + 16 = 115

country songs = 16

p(country song) = 16/115 = 0.139

Answer:

+ 1.45

Step-by-step explanation:

the end result is 16.55, therefore you add 1.45 to get $18 again.

Leah should multiply x with [tex]\frac{12}{5}[/tex].

If we are to divide x by  [tex]\frac{5}{12}[/tex], we need to write it like this,

[tex]\frac{x}{\frac{5}{12} }[/tex]

⇒ x ÷ [tex]\frac{5}{12}[/tex]

⇒ x × [tex]\frac{12}{5}[/tex]

Thus, x should be multiplied  [tex]\frac{12}{5}[/tex] to get the answer.

Answer)  [tex]\frac{12}{5}[/tex]

          In fractional division, we need to find the reciprocal of the divisor fraction and then multiply it with the dividend to find the solution.

         In the given question, the divisor is ' [tex]\frac{5}{12}[/tex].' Thus, it should be reciprocated to find the fraction '   [tex]\frac{12}{5}[/tex].' This should be then multiplied by the variable x to find the answer to the fractional division.

        Fractional multiplication also needs to carry out the arithmetic functions of multiplication and division to find out the answer.

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The complete question is given below:

Leah wants to divide x by [tex]\frac{5}{12}[/tex]. What number should she multiply by x to find the answer??​

The original logo is a triangle and measures

1.5in x 1.5in

Magnification is

Original shirt = 1:8

Shirt logo area

A = 1/2bh

A = 1 / 2 * (1.5 * 8) (1.5 * 8) = 72 square inches

The area is a quantity that describes the extent of an area on a plane or curved surface. Planar region or planar region area refers to the area of ​​a shape or planar layer, and surface area refers to the open surface or boundary area of ​​a three-dimensional object.

The area is defined as the total space occupied by a planar (2-D) surface or shape of an object. Take a pencil and draw a square on a piece of paper. A two-dimensional character. The space a shape occupies on paper is called its area. Now imagine that the square is made up of smaller unit squares.

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Answer:

Step-by-step explanation:

2(4x-3)≥-3(3x)+5x

8x-6≥-9x+5x

8x≥-4x+6

8x+4x≥6

12x≥6

x≥6/12

or

x≥1/2

Answer:

193,153.72460551

Step-by-step explanation:

Multiply 4 times pi or 3.14 if you are rounding. Then multiply that number by 4.6

Lastly once you done all of put it to the po wer of 3

Answer: 6.7% 0.67 6
                                 -
                                9

Step-by-step explanation:

Answer:

[tex]\sf 6.7\% < 6/9 < 0.67[/tex]

Explanation:

You would think 6.7% is a lot bigger than both, but it is not. Remember 6.7 is a percentage out of 100, thus, 6.7% actually is 0.067.

The expression that best compares the minimum temperature of the two planets is -195 > -275

From the question, we are to determine which of the given options best compares the minimum temperature of the two planets

From the given information,

"The minimum temperature of mercury is approximately -275 F"

and

"The minimum temperature of Mars is approximately -195 F"

NOTE: The number -195 is greater than the number -275

Thus,

The minimum temperature of Mars is greater than the minimum temperature of Mercury

Hence, the expression that best compares the minimum temperature of the two planets is -195 > -275

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Answer: The first one. 2.289<2.297

Step-by-step explanation:

Answer:

im pretty sure its  -20

Step-by-step explanation:

Step-by-step explanation:

Solving steps

ZX-13 k

Move the constant to the right

zX = 13+k

Divide both sides

Solution

x=13+k/z , z≠0

Answer:

Step-by-step explanation:

Solve the equation for x .

zx-13=k

zx−k−13=0

(z)⋅x+(−k−13)=0

x=−(−k−13)/z

x=(k+13)/z

----------------------------

check

z(k+13)/z-13=k

(k+13)−13−{k}=0

k−{k}=0

0=0

the answer is good

Answer:

non

Step-by-step explanation:

bc its not a straight line

Answer: Non-linear

Step-by-step explanation:

It’s not a straight line and there is no pattern.

The value which is greater than -2.5 as requested in the task content is; -2.25.

It follows from the task content that the value which is greater than -2.5 is to be determined.

On this note, since greater numbers appear to the right on the number line, one can be sure that the number which is greater than -2.5 among the answer choices is; -2.25 as it appears to the right of -2.5.

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Answer: 32604

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

The points are (4, -3) and (7, -7).

[tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

[tex] d = \sqrt{(7 - 4)^2 + (-7 - (-3))^2} [/tex]

[tex] d = \sqrt{3^2 + (-4)^2} [/tex]

[tex] d = \sqrt{9 + 16} [/tex]

[tex] d = \sqrt{25} [/tex]

[tex] d = 5 [/tex]

Answer: 5

Answer:

(1,-4) (2,0) (3,-11)

Step-by-step explanation:

if you graph these you will see its the same images just turned up i would also know because im from k12 but anyways yea same image just turned counterclockwise ,next time search up "graph 90 counterclockwise" and itll show you step by step not of this exact problem but a similar type, it helps alot

The equation of the line with slope −6 which goes through the point (−9,−6) = y = -6x + 9.

When you know the slope of something like the line to be investigated and the point given also contains the y-intercept, you can utilize the slope-intercept formula y = MX + b. (0, b). The y value of the y-intercept  point is represented by b in the formula.

A line's slope is the ratio of how much y grows as x increases by a certain amount. The slope of a line indicates how steep it is, or how much y grows as x increases.

The slope of the line = -6  = m

The points (−9,−6). x = -9 , y = -6

Find the y-intercept.

y=mx+b

Substituting the value we get:

-6 = (-6 x -9) + b

-6 = -54 x b

b = 54/6

b = 9.

The equation in slope intercept form as:

y=mx+b

y = (-6)x + 9

y = -6x + 9

The equation of the line with slope −6 which goes through the point (−9,−6) = y = -6x + 9.

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