Use synthetic division to determine whether each binomial is a factor of 3x³+10 x²-x-12 x+3.

Answer:

3rd option, y<=x^2-3

Step-by-step explanation:

y<=x^2-3 is the graph of the function. The vertex of the graph is (0, -3), so when x=0, y=-3. Also, for every x-coordinate, the shaded region is below the corresponding y-coordinate. For example, when x=0, the shaded area for that x-coordinate is below y=-3.

According to the question,  solution for the inverse variation function. Using standard concept which defines inverse variation function is as follows:

Inverse variation function: [tex]yx=k[/tex]

Therefore, the number of inverse variation function which has[tex](2,3)[/tex] as a solution is : one

What is inverse variation function?

Inverse variation function defines the relationship which are in inverse function. Like, direct variation define direct relationship between the two variables. In inverse variation function, one variable is inversely related to the another variable.

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The domain of given points are :

IR x ≠ 2, 3

Points of discontinuity -  x = 2 ( removable/hole )

                                        x = 3 ( non removable / asymptote )

x - intercept =  2/3 , y -  intercept = 1

Any function that can be expressed as a polynomial divided by a polynomial is said to be rational. The domain of a rational function is the set of all numbers except the zeros of the denominator since polynomials are defined everywhere. First example: f(x) = x/ (x - 3).

y = 6-3x/[tex]x^{2}[/tex]-5x+6

  = -3(x-2)/[tex]x^{2}[/tex]-3x-2x+6

  = -3(x-2)/x(x-3)-2(x-3)

  = -3(x-2)/(x-2)(x-3)

The domain of given points are :

IR x ≠ 2, 3

Points of discontinuity -  x = 2 ( removable/hole )

                                        x = 3 ( non removable / asymptote )

x-intercept :

 0=-3(x-2)

-3x+2=0

 2=3x

 x=2/3

 y - intercept :

-3( 0-2)/(0-2)(0-3)

y = 1

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The equation that can be formed with the unit and total costs of filling up the Sedan with 12 gallons of gas is 12p = 50.04, where p = 4.17.

An equation is a mathematical statement that expresses two equal variables.

Equations use the equation sign (=).

The quantity of gas per the Sedan's tank = 12 gallons

The unit cost of a gallon of gas = $4.17

The total cost of filling 12 gallons with gas = $50.04

In equation form, the expression can be written as:

12p = 50.04

Where p = 4.17

Thus, the equation of the total cost is 12p = 50.04, where p = 4.17.

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Answer: divide 22/2

Step-by-step explanation:

Answer:

Divide 22/2

Step-by-step explanation:

22/2 is 11, a whole number.

Simplifying:

(22/2)*(3/9)*4

11*(3/9)*4

11*(1/3)*4

Solving:

11*(1/3)*4

11*4=44 44/3=14 2/3

(22/2)*(3/9)*4=44/3 or 14 2/3

f(g(-3)) = f(6) = 9.

For composing functions like this, we'll work from the inside out. First, find g(-3) by plugging x = -3 into the function g(x):

g(x) = |x - 3|

g(-3) = |-3 - 3|

g(-3) = |-6|

g(-3) = 6

Now we can replace g(-3) with 6 in the function composition to get f(g(-3)) = f(6). Find f(6) by plugging x = 6 into the function f(x):

f(x) = x + 3

f(6) = 6 + 3

f(6) = 9

So, f(g(-3)) = f(6) = 9.

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log 2x + log x = 11 => x = 223600, by properties of logarithm.

Now,

log (2x) + log (x) = 11

=> log [(2x)(x)] = 11 (as log (a) + log (b) = log (ab))

=> log (2x²) = 11

Since, generally the base of log is 10, raising them to 10

=> [tex]10^{log_{10}(2x^{2})} = 10^{11}[/tex]

=> 2x² = 10¹¹

=> x² = [tex]\frac{10^{11}}{2}[/tex]

=> x = [tex]10^{5}\sqrt{\frac{10}{2}} = 10^{5}\sqrt5[/tex]

=> x = 10⁵ (2.2360)

=> x = 223600

Hence, log 2x + log x = 11 => x = 223600, by properties of logarithm.

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Answer:

Naryam

Step-by-step explanation:

Murphy is incorrect because when subtracting integers, you have add the addictive inverse of the others. (keep, change, change) which would lead to the equation of 9 + 8. What Murphy did wrong is subtract 9 and -8 without finding -8 addictive inverse.

Since their dot product is not equal to zero, then (8,-4) and (-2,4) are not normal to each other.

Two vectors are said to be normal or perpendicular to each other if the result of their dot product is equal to zero.

These two vectors are also called orthogonal to each other.

Let u = (u₁, u₂) and  v = (v₁, v₂), then the dot product u . v is defined as:

u . v = u₁v₁ + u₂v₂

To check whether the vectors are normal to each other, let us check their dot product.

The given vectors are: (8,-4) and (-2,4)

Let u = (8,-4) and  v = (-2,4), then,

u . v = 8 . (-2) + (-4) . 4

       = -16 + (-16) = -32 (not equal to zero)

Since u.v ≠ 0, then (8,-4) and (-2,4) are not normal to each other.

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The example of the associative property of multiplication is 7 • (3 • 5) = (7 • 3) • 5

The associative property of multiplication states that

(a * b) * c = a * (b * c)

Using the above equation as a guide, we have the following equation

7 • (3 • 5) = (7 • 3) • 5

The above equation is the option (3) of the associative property of multiplication

Hence, the example of the associative property of multiplication is 7 • (3 • 5) = (7 • 3) • 5

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answer is  y=x+216 and -6.

In the question, the expression is given 221--x-5=y;(9-11)3

An equation is said to be linear equation in two variables if it is in the form of ax + by + c=0, where a, b & c are real numbers and  a and b respectively, are not equal to zero. For example, 10x+4y = 3 and -x+5y = 2 are linear equations in two variables.

Unique Solution:

For the given linear equations in two variables, the solution will be unique , if and only if they intersect at a point.

No Solution:

For the given linear equations in two variables, the given system of equations has no solution if lines of two linear equations are parallel.

Infinitely many solution:

For the given linear equations in two variables, the given system of equations has infinitely many solution if lines of two linear equations coincident.

Two consecutive minus signs have the same mathematical meaning as a single plus sign .

221+x-5=y,(9-11).3

x+216=y

Subtract 216 from both sides of the equation,

x+216-216=y-216

x=y-216

replace x with y-216 in the expression

(9-11).3

subtract 11 from 9

-2.3

Multiply -2 by 3

-6

Hence, Final answer is y=x+216 and -6.

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Answer:

81.1111111111111

Step-by-step explanation:

Becuse

Answer:

80 (Estimate, we'll get to the exact result at the end.)

Step-by-step explanation:

[tex]\mathrm{(Round)~If~x < 5,~x=y.0}[/tex]

→ y is the number, for instance, 60.0 since 63.0 in the ones/tenths place is less than 5 or 0.5

[tex]20 \times 70 = 1,400[/tex]

→ imagine the newly rounded 73 as 2 × 7 which is 140, but it's 2 more 0's, so it's 1,400.

[tex]\bold{77}\\18|1,400\\18 \times 7 = 126\\140 - 126 = 14\\18 \times 7 = 126\\140 - 126 = 14[/tex]

→ long division was performed. for each time a 0 appeared in 14 when 140 was subtracted by 126(18 • 7), a zero was either borrowed from 1,400 or dropped from 1,400 which became our remainder of 14 both ways around.

→ 77 is close to 75 but not below 5, so it round to 80. therefore, your estimate result is 80.

(The exact result is 81.1)

I hope this helped, let me know if you have concerns.

Answer:

the amount he is charged for being overdrawn each day

Step-by-step explanation:

Answer: Or you could make six groups of 2 so that way no one is on the same team.

Step-by-step explanation: I hope I'm explaining this right because I don't fully get your question ;)

Answer:

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Step-by-step explanation:

Answer:

The correct answer is the last choice

Step-by-step explanation:

You see that the pattern is increasing by 4 each step.  If start at -5 and back up 4 three more times to get to the starting number, you will be at -17

Answer:

-2x²+8x-18

not sure if the x's are multiplication or x but this what I got.

Answer:

Step-by-step explanation:

3ײ + 8 × - 8 - 5× ² - 10 please solve and give a solution tthankyou!! asap!!​

3x² + 8x - 8 - 5x²- 10 =

-2x² + 8x - 18

Answer: its 8t²

Step-by-step explanation:

Answer:

Sum = 8t²

Step-by-step explanation:

Let's solve the problem,

→ 4t² + 2 + 4t² - 2

→ (4t² + 4t²) + (-2 + 2)

→ 8t² + 0 = 8t²

Hence, the answer is 8t².

The value of -4(7/10) - 9(7/15) is -85 / 6.

A fraction represented with its quotient and remainder is a mixed fraction.

For example:

3 4/5 is a mixed fraction, where 3 is the quotient, and 4 is the remainder.

We have,

-4(7/10) - 9(7/15)

Convert each term into a proper fraction.

4 7/10 = (40+7) / 10 = 47 / 10

9 7/15 = (135 + 7) / 15 = 142 / 15

Now,

= -47 / 10 - 142 / 15

The LCM of 10 and 15 is 30

= [3 x (-47) - (2 x 142)] / 30

= (-141 - 284) / 30

= -425 / 30

We can divide by a common factor of 5

= - 85 / 6

Thus the value of -4(7/10) - 9(7/15) is -85 / 6.

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The complete question is

Evaluate -4(7/10) - 9(7/15)

Answer:   [tex]2\text{x}^4, \ 2\text{x}^7, \ 2\text{x}^{10}, \ 2\text{x}^{13}[/tex]

===========================================================

Explanation:

The first term is [tex]a_1 = 2\text{x}[/tex] and the common ratio is [tex]r = \text{x}^3[/tex]

To get the second term, we multiply the first term by that common ratio

[tex]a_2 = a_1*r = 2\text{x}*\text{x}^3 = 2\text{x}^4[/tex]

Repeat a similar idea for the third term

[tex]a_3 = a_2*r = 2\text{x}^4*\text{x}^3 = 2\text{x}^{4+3} = 2\text{x}^7[/tex]

and the fourth term is

[tex]a_4 = a_3*r = 2\text{x}^7*\text{x}^3 = 2\text{x}^{7+3} = 2\text{x}^{10}[/tex]

The fifth term is

[tex]a_5 = a_4*r = 2\text{x}^{10}*\text{x}^3 = 2\text{x}^{10+3} = 2\text{x}^{13}[/tex]

Something to notice: The exponents of the first five terms are: 1, 4, 7, 10, 13. The sequence of exponents is arithmetic even though the original underlying sequence is geometric.

The reason why the exponent sequence is arithmetic is because we keep multiplying by [tex]\text{x}^3[/tex], and hence we keep adding 3 to each exponent to get the next exponent.

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

To summarize, the first five terms are:

[tex]2\text{x}, \ 2\text{x}^4, \ 2\text{x}^7, \ 2\text{x}^{10}, \ 2\text{x}^{13}[/tex]

We will ignore the first term 2x since your teacher wanted you to find the next four terms after that first term (i.e. term2 through term5).

The perimeter P  is  mathematically given as

P=[Number of sides of regular polygon] * [Length of each side]

This is further explained below.

Generally, The formula for calculating the perimeter of a regular polygon is ns.

Having said that; The formula for the number of sides of a regular polygon is n.

The length of each side is equal to one unit.

Find:The formula for calculating the perimeter of a regular polygon

Hence

The formula for calculating the perimeter of a regular polygon is as follows:

Perimeter = [Number of sides of regular polygon] * [Length of each side]

In conclusion, The formula for calculating the perimeter of a regular polygon is

P= [Number of sides of regular polygon] * [Length of each side]

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The number of years for which the money was invested is 5.0 years

From the question, we are to determine how long (in years) the money was invested

From the given information,

Lina invested $7,800 at a simple interest rate of 4.35%

and

She earned $1,696.50 in interest

From the formula for simple interest

I = PRT

Where I is the simple interest

P is the principal

R is the rate

and T is the time in years

From the given information,

I = $1,696.50

P = $7,800

R = 4.35% = 0.0435

Thus,

1696.50 = 7800 × 0.0435 × T

1696.50 = 339.3 × T

T = 1696.50/339.3

T = 5.0 years

Hence, the money was invested for 5.0 years

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Answer:

I don't understand you hear me

Answer:

47 23

Step-by-step explanation:

calculator

on the internet in brainly lol

The sum of the interior angles of the pentagon is the 540°.

According to the statement

We have to find that the sum of measures of the interior angles of a pentagon.

So, For this purpose, we know that the

A pentagon is a geometrical shape, which has five sides and five angles.

From the given information:

the sum of measures of the interior angles of a pentagon

Then

A pentagon is a geometrical shape, which has five sides and five angles.

and

we have to know that the

Pentagon is formed from three triangles, so the sum of angles in a pentagon = 3 × 180° = 540°.

Then

The sum of the interior angles of the pentagon is the 540°.

So, The sum of the interior angles of the pentagon is the 540°.

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The simplify of the expression is  [tex]20 \sqrt{3}[/tex].

Fixing an equation manner that we ought to discover the fee of the variable, with the aid of the use of homes of actual numbers and combining like terms, which make the equation true. Simplifying an algebraic expression manner that we most effectively need to lessen the expression by means of the use of properties of actual numbers and mixing like phrases.

The square root of 2 hundred in its simplest radical form is 10√2. If we know the high factorization of quite a number, we can write the radical shape of the rectangular root of that variety. As a result, the high factorization of 2 hundred is two × 2 × 2 × five × five. As a result, the square root of 200 within the handiest radical shape has to be 10√2.

Simplify genuinely manner to make it easy. In arithmetic, genuinely or simplification is reducing the expression/fraction/trouble in an easier shape. It makes the hassle easy with calculations and fixing.

[tex]\sqrt{48} +2 \sqrt{27} + 5\sqrt{12}[/tex]

[tex]\sqrt{48} = 4\sqrt{3}[/tex]

[tex]2 \sqrt{27} = 6\sqrt{3}[/tex]

[tex]5\sqrt{12} = 10 \sqrt{3}[/tex]

[tex]4\sqrt{3} +6 \sqrt{3} + 10 \sqrt{3}[/tex]

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

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The surface area needed to be paint is 3,008 sq. ft. The cans requires for the paint are 15.

A cuboid is a 3 solid with six (rectangular) faces, eight vertices, and twelve edges.

Total Surface Area (TSA) = 2(lb + bh + hl) sq.units

where, i is the length, b is the breadth and h is the height.

The given values are;

length l = 12 ft

breadth b = 10 ft

height h = 16 ft

Put the values in the formula;

Total Surface Area (TSA) = 2(12×10 + 10×16 + 16×12)

                                         = 2×(120 + 160 +192)

                                          = 2×(472)

Total Surface Area (TSA) = 1504

Now, reduce the area of the floor as it is not to be painted;

Painted area = Total Surface Area (TSA) - area of floor

                     = 1504 -12×10

Painted area = 3,008 sq. ft

The area covered by 1 paint can is 200 sq. ft.

Can required = total painted area/painted area by one can

Can required = 3,008/200

                      = 14.44

Can required = 15 (as half can is not considered)

Therefore, the area painted is 3,008 sq. ft with the total number of cans as 15.        

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Answer:

C

Step-by-step explanation:

because the 21:9 is break to the smallest form which is C

The value of algebraic expression 2³x + 4 for x = - 1 will be equal to - 4.

2³ x + 4 =  ( 2 )³ x + 4 = 8x + 4

8x + 4 =  8(-1) + 4

          = -8 + 4

          = -4

Therefore, the value of algebraic expression 2³x + 4 for x = - 1 will be equal to - 4.

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