complete the synthetic division problem below -3|2 4 -4 6what is the quotient in polynomial form?

Answer:

-14 - 30 i

Step-by-step explanation:

We recall that when combining complex numbers, we need to combine the real parts among themselves to get the new real part, and the imaginary parts among themselves to get the imaginary part of the new complex that results from the operation.

In our case the firs complex number is "-8" which consists of strictly real part (with zero imaginary part). The second complex number is (6+30 i) which has real part = 6 and imaginary part = 30 i.

now we operate separately on the real parts and on the imaginary parts performing the requested subtraction:

Real part:  -8 - 6 = -14

Imaginary part: 0 i - 30 i = -30 i

Therefore the final complex number that results from this subtraction is: "-14 - 30 i"

Answer:

[tex]\displaystyle y = -4x[/tex]

Step-by-step explanation:

0 = 0 ± b

[tex]\displaystyle 0 = b \\ \\ y = -4x[/tex]

* Parallel Lines have SIMILAR RATE OF CHANGES [SLOPES], so −4 remains the way it is.

I am joyous to assist you anytime.

Heyo! ;D

The equation in slope-intercept form that represents a line that is parallel to y = -4x - 5 and passes through the point (0,0) would be Option C) y = -4x.

Hope this helps! If so, please lmk! Tysm!

Answer:

120 mg

Step-by-step explanation:

750 ml       300mg

300 ml         x mg

750 / 300 = 300 / x

x = (300 x 300) / 750 = 120 mg

Answer:

The required probability is  given by, 0.9919.

Step-by-step explanation:

Let, X be the random variable denoting the no. of pages among those 4 pages which Julia writes where she makes no spelling mistake.

clearly,

X [tex]\sim[/tex] Binomial (4, 0.7)

So,      P(X = x) = [tex]^4C_{x} \times (0.7)^{x} \times (0.3)^{(4 - x)}[/tex]

                            [when  x = 0, 1, 2, 3, 4]

                         = 0 otherwise

According to the question, we are to find out  P(X ≥ 1) .

Now, P(X ≥ 1)

     = 1 - P(X = 0)

     = [tex] 1 - (^4C_{0} \times (0.7)^{0} \times (0.3)^{4})[/tex]

     = [tex] 1 - 0.0081[/tex]

     = 0.9919

So, the required probability is  given by, 0.9919

The probability that Julia will have no spelling mistakes on at least one of the pages is approximately 99.19%.

To determine the probability that Julia will have no spelling mistakes on at least one of the four pages she writes, we can first find the probability that she will make at least one spelling mistake on all four pages and then subtract this from 1.

The probability that there will be a spelling mistake on a page:

= 1 - 0.7 = 0.3.

Since the probability of a spelling mistake on each page is independent, we can multiply the probabilities for the four pages together.

The probability of at least one mistake on all four pages:

= 0.3 x 0.3 x 0.3 x 0.3 = 0.3⁴= 0.0081.

The probability that there will be no spelling mistakes on at least one page

= 1 - 0.0081 = 0.9919 or about 99.19%.

So, the probability is 99.19%.

Answer:

The maximum number of packages that can be made  with each package have same number of each item is = 6

Step-by-step explanation:

Given:

Mr. Harris has 48 pencils and 30 notebooks.

To find the number of packages he can make with each package have same number of each item.

Solution:

Number of pencils = 48

Number of notebooks = 30

In order to find the number of packages he can make with each package have same number of each item, we will find the greatest common factor of the given numbers.

To find the G.C.F., we will list down the prime factors of each.

[tex]48=2\times 2\times 2\times 2\times 3[/tex]

[tex]30=2\times 3\times 5[/tex]

We find that the G.C.F. = [tex]2\times 3[/tex] = 6

Thus, the maximum number of packages that can be made  with each package have same number of each item is = 6

To calculate the change in position after 30 seconds, multiply the rate of change per 10 seconds, which is -1 3/10 feet, by the number of 10-second intervals in 30 seconds, resulting in a total change of -3 9/10 feet or -3.9 feet.

If your team changes its position by -1 3/10 feet every 10 seconds in a tug of war game, we need to find out the change in position after 30 seconds.

Since the change in position is consistent over time, we can calculate the total change by multiplying the rate of change per 10 seconds by the number of 10-second intervals in 30 seconds.

The number of 10-second intervals in 30 seconds is:

30 seconds / 10 seconds per interval = 3 intervals.

The total change in position is then:

-1 3/10 feet/change × 3 changes = (-1 × 3)+(3/10 × 3)

= -3 9/10 feet or -3.9 feet.

Your team's change in position after 30 seconds is -3 9/10 feet or -3.9 feet.

The four consecutive even integers are 20, 22, 24, 26

Solution:

Let the four consecutive even integers are a , a + 2, a + 4, a + 6

Let "a" be the smallest integer and "a + 6" be the largest integer

To find: the four consecutive even integers

Given that the greatest of four consecutive even integers is 14 less than twice the smallest integer

largest integer = twice the smallest integer - 14

a + 6 = 2(a) - 14

a + 6 = 2a - 14

a - 2a = -14 - 6

-a = -20

a = 20

Thus the four consecutive even integers are:

a = 20

a + 2 = 20 + 2 = 22

a + 4 = 20 + 4 = 24

a + 6 = 20 + 6 = 26

Thus the four consecutive even integers are 20, 22, 24, 26

Answer:

1,500

Step-by-step explanation:

75•20

Answer:1500

Step-by-step explanation: 75 times 20 = 1500

Find the ratio of the similar known sides:

1.34/2 = 0.67

The smaller triangle is 0.67 the size of the larger one.

Multiply the similar sides by the ratio:

DE = 4 x 0.67 = 2.68

FE = 3 x 0.67 = 2.01

Answer:

Find the ratio of the similar known sides:

1.34/2 = 0.67

The smaller triangle is 0.67 the size of the larger one.

Multiply the similar sides by the ratio:

DE = 4 x 0.67 = 2.68

FE = 3 x 0.67 = 2.01

Step-by-step explanation:

Answer:

-12+18x

Step-by-step explanation:

-3(4-6x)=-12+18x

Answer:

Assuming the group of the candidates is ordered the same way as the votes they received, Margaret O'Conner received the MOST votes, at 12,926, while Leonard Hansen received the LEAST votes, at 12,409.

Answer:

C) 12(8+3)

Step-by-step explanation:

Answer:C) 12(8+3)

Step-by-step explanation: i took the test

Answer:

1. Triangle or trapezoid.

2. A line

3. Circular

4. Triangular.

Step-by-step explanation:

1. The cross-section of a cone that is perpendicular to the base either of a shape of a triangle or a trapezoidal shape.

If we make the cross-section along the diameter of the base circle then the cross-section will be a triangle and otherwise, it will be of trapezoidal shape.

2. The cross-section of a rectangle that is perpendicular to the base is line only because a rectangle is a two-dimensional shape and if we cut it perpendicularly to the base it will give a line.

3. The cross-section of a cylinder that is parallel to the base is a circle only.

Because the shape of a cylinder is constantly circular along the vertical axis.

4. The cross-section of a triangular prism that is parallel to the base is a triangle only.

Because the shape of a triangular prism is constantly triangular along the vertical axis. (Answer)

search for the best and accurate answers

Answer:3/4

Step-by-step explanation

Person A: -3 +(-1) + 0

+ =-2

And you divide by 12 and get

9/12=3/4

Answer: 3/4

Step-by-step explanation:

Answer:

y = 9[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin45° = [tex]\frac{1}{\sqrt{2} }[/tex]

sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{9}{y}[/tex]

Multiply both sides by y

y × sin45° = 9, that is

y × [tex]\frac{1}{\sqrt{2} }[/tex] = 9

Multiply both sides by [tex]\sqrt{2}[/tex]

y = 9[tex]\sqrt{2}[/tex]

Answer: ?=9

                √2

Step-by-step explanation:

x=9 =a side of squre

y=diagonal

use equation :

y=a√2

y=9√2

y=12.69

Answer:

B On 2020 edge

Step-by-step explanation:

Answer:

The number is 8.

Step-by-step explanation:

Write an equation then solve by isolating the variable.

let x be the number

4x + 15 = 47  Subtract 15 from both sides

4x = 47 - 15

4x = 32     Divide both sides by 4

x = 32/4

x = 8

Therefore the number is 8.

Answer:

8

Step-by-step explanation:

Answer:

4x-19/3

Step-by-step explanation:

1/2(8x+4)+1/3(9-34)

8/2x+4/2+9/3-34/3

4x+2+3-34/3

4x+5-34/3

4x-19/3

Answer:

3x+5

Step-by-step explanation:

Answer: the person on the left

Step-by-step explanation:

by taking 20% off of the total cost first they are getting the better deal.

The customer gets a better deal from the cashier on the left. Explanation on determining the better deal between two cashiers based on how they apply discounts.

To determine who is getting the better deal, let's compare the total bill after discounts for both cashiers:

Cashier on the left: 20% off, then subtract $10

Cashier on the right: Subtract $10 first, then 20% off

Example Calculation:

If the total bill is $100:
Left cashier: $100 - 20%($100) = $80, then $80 - $10 = $70
Right cashier: $100 - $10 = $90, then 20%($90) = $18, so $90 - $18 = $72

In this scenario, the customer gets a better deal from the cashier on the left.

I'm not an expert at this but the answer should be 13.9 or 14

Final answer:

The length of the arc made by an 80° central angle in a circle with a 10 ft. radius is approximately 13.96 ft.

Explanation:

In order to find the length of an arc made by an 80° central angle in a circle with a 10 ft. radius, we need to use the formula for the circumference of a circle. The formula for the circumference is C = 2πr, where C is the circumference and r is the radius. In this case, the angle is 80°, so we need to find the fraction of a full circle that the angle represents. Since a full circle is 360°, the fraction is 80/360 = 2/9. Therefore, the length of the arc is 2/9 times the circumference of the circle with a 10 ft. radius.

To find the circumference of a circle with radius 10 ft., we can use the formula C = 2πr. Plugging in the value of the radius, we get C = 2π(10) = 20π ft. Since the length of the arc is 2/9 times the circumference, the length of the arc is (2/9)(20π) ft. Simplifying, we get (40/9)π ft. This is approximately 13.96 ft. Therefore, the length of the arc made by an 80° central angle in a circle with a 10 ft. radius is approximately 13.96 ft.

To round the fraction 14/27 to the nearest one-half, the answer would be 0 (choice A).

To round the fraction to the nearest one-half, we need to determine if the fraction is closer to zero, one-half, or one. Start by identifying which two one-half intervals the fraction falls between: 13/27 (closer to zero) and 15/27 (closer to one-half). As 14/27 is closer to 13/27, the answer is A. 0.

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Answer:

D) 7 divided by 3

Step-by-step explanation:

Answer:

7 divided 3

Step-by-step explanation:i got it correct

Answer:

For question 9: Angle 1= 20, angle 2= 70, angle 3= 70, angle 4= 20, angle 5= 20, angle 6= 70, and angle 7= 70.

Step-by-step explanation:

Answer:

if fg(x)=6x+q

then f(gx) =6x+q

3(px+4)+p =6x+q

3px+12+p = 6x+q

3px+p = 6x+q-12

make p the subject

p( 3x+1) = 6x+q-12

p= (6x + q -12 )/ 3x +1

Answer:

p = 2 and q = 14

Step-by-step explanation:

f(g(x)) = 3(px + 4) + p

f(g(x)) = 3px + 12 + p

6x + q = 3px + 12 + p

The trick here is to equate the coefficients.

6 = 3p and q = 12 + p

p = 2 and q = 14

Answer:8

Step-by-step explanation:They said f(x)=x2–4 and they said find the value of f(x) when x=6

When x=6 you equate the value of x into the question

F(6)=6*2–4=8

Therefore the value of f(x) is 8

Answer:

The total pieces of cake are 24

Step-by-step explanation:

Linear equations

It's a relation between one or more variables and or numbers, connected with the equal sign. An example is 4x-5=7, or 2(x+y)=7-(x-y)

This problem can be easily solved without the use of equations, but we are required to.

We know Mindy and Troy combined ate 9 pieces of cake, we also know that Mindy ate 3 pieces of cake. It leaves 6 pieces to Troy. Since Troy ate 1/4 of the whole cake, then

[tex]\displaystyle \frac{1}{4}X=6[/tex]

Where X is the number of pieces of cake

Solving for X

[tex]X=(4)(6)=24\ pieces[/tex]

Answer:

Step-by-step explanation:

It is given that The chance, that a student will pass the statistic course is [tex]\frac{70}{100}[/tex]

Hence, The chance that a student will fail in the statistic course is [tex]\frac{100 - 30}{100} = \frac{30}{100}[/tex]

Any 2 students from the total of 5 students can be choosen in [tex]^{5}C_2 = \frac{5!}{3! \times2!} = 10[/tex] ways.

Hence, the probability will be [tex]10\times [\frac{70}{100}] ^{2} \times[\frac{30}{100} ]^{3} = \frac{49\times27}{10000} = \frac{1323}{10000}[/tex]

Final answer:

The probability that exactly two students will pass the statistics course is approximately 30.87%.

Explanation:

To find the probability that exactly two students will pass the statistics course, we can use the binomial probability formula. The formula is:

P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

In this case, n = 5 (number of students), k = 2 (number of students passing), and p = 0.7 (probability of passing).

Plugging in these values, we get:

P(X = 2) = C(5, 2) * 0.7^2 * (1 - 0.7)^(5 - 2)

Calculating, we find that P(X = 2) ≈ 0.3087, or approximately 30.87%.

Answer:

The option " The sum has degree of 6 , but the difference has a degree of 7 " is correct.

Step-by-step explanation:

Given that the sum and difference of the polynomials [tex]3x^5y-2x^3y^4-7xy^3[/tex] and [tex]-8x^5y+2x^3y^4+xy^3[/tex]

[tex]3x^5y-2x^3y^4-7xy^3+(-8x^5y+2x^3y^4+xy^3)[/tex]

[tex]=3x^5y-2x^3y^4-7xy^3-8x^5y+2x^3y^4+xy^3[/tex]

[tex]=-5x^5y+0-6xy^3[/tex]

[tex]=-5x^5y-6xy^3[/tex]

Therefore [tex]3x^5y-2x^3y^4-7xy^3+(-8x^5y+2x^3y^4+xy^3)=-5x^5y-6xy^3[/tex]

In the simplified sum of the polynomials [tex]-5x^5y-6xy^3[/tex]  we have the degree is 6

[tex]3x^5y-2x^3y^4-7xy^3-(-8x^5y+2x^3y^4+xy^3)[/tex]

[tex]=3x^5y-2x^3y^4-7xy^3+8x^5y-2x^3y^4-xy^3[/tex]

[tex]=11x^5y-4x^3y^4-8xy^3[/tex]

Therefore [tex]3x^5y-2x^3y^4-7xy^3-(-8x^5y+2x^3y^4+xy^3)=11x^5y-4x^3y^4-8xy^3[/tex]

In the simplified difference of polynomials [tex]11x^5y-4x^3y^4-8xy^3[/tex] we have the degree is 7

Therefore the option " The sum has degree of 6 , but the difference has a degree of 7 " is correct

Answer:

The sum has a degree of 6, but the difference has a degree of 7.

Step-by-step explanation: