Determine which of the given numbers are zeros of the polynomial g(x)=x^4+6x^3-x^2-30x.


a.) 2, 3

b.) 0, -1

c.) 2, -1

d.) 0, 2

Answer:

I believe C is the correct answer because the graph starts above 40 on y axis and D is incorrect because of the y + not y=

Answer:

1,2,4,6,8

And the median can be calculated from the value in the position 3th and we got 4

[tex] Median =4[/tex]

And now using the correct dataset is: 1, 18, 6, 2, 4. And if we order the dataset we got:

1,2,4,6,18

And the median for this case again would be the value in the 3th position and we got:

[tex] Median =4[/tex]

So then we can conclude that the median is unaffected by the change of 18 instead of 8

Step-by-step explanation:

For this case we have the original dataset given:

1, 8, 6, 2, 4

And the median for this dataset can be calculated with the following dataset ordered:

1,2,4,6,8

And the median can be calculated from the value in the position 3th and we got 4

[tex] Median =4[/tex]

And now using the correct dataset is: 1, 18, 6, 2, 4. And if we order the dataset we got:

1,2,4,6,18

And the median for this case again would be the value in the 3th position and we got:

[tex] Median =4[/tex]

So then we can conclude that the median is unaffected by the change of 18 instead of 8

Answer:

50.052%

Step-by-step explanation:

Answer:

              32.1 g

            -----------     x 100%

(32.1 g + 16.0 g + 16.0 g)  

Explanation:

A P E X :)

Answer:

x = 5

Step-by-step explanation:

15 / 3 =5

Answer:x^2=2^2+4^2. x=4.47

Step-by-step explanation:

Opposite=m=2

Adjacent=n=4

Hypotenuse=x

x^2=m^2+n^2

x^2=2^2+4^2

x^2=4+16

x^2=20

x=√20

x=4.47

Answer:

B.(4,20)

Step-by-step explanation:

Given: [tex]x^2 -24x = -80[/tex]

To solve the quadratic equation by completing the square, we follow these steps.

Step 1: Divide the coefficient of x by 2

[tex]-\dfrac{24}{2}=-12[/tex]

Step 2: Square your result fro Step 1

[tex](-12)^2[/tex]

Step 3: Add the result form step 2 to both sides of the equation

[tex]x^2 -24x+(-12)^2 = -80+(-12)^2[/tex]

Step 4: Rewrite the Left hand side in the form [tex](x+k)^2[/tex]

[tex](x-12)^2=-80+144\\(x-12)^2=64[/tex]

Step 5: Take square roots of both sides

[tex]x-12=\pm \sqrt{64}[/tex]

Step 6: Solve for x

[tex]x=12\pm \sqrt{64}\\=12\pm8\\x=12+8$ or x=12-8\\x=20 or x=4.[/tex]

Therefore, the solution set of the equation is (4,20).

Answer:

2

Step-by-step explanation:

If you take 1 bus then that means leaving 13 peoplee brhind(53-40=13), so you have to take 2 buses.

53 students are going on a field trip to the museum of modern art.

Each bus holds 40 people. we need 2 buses to hold the all students.

The addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value.

53 students are going on a field trip to the museum of modern art.

Each bus holds 40 people.

Total students left = 53 - 40

                               = 13

one bus can hold a number of students = 40

but we have 13 more students which are less than 40.

So, we need one more bus to hold the leftover.

Learn more about summation;

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Answer:

A. (-1,-2)

Step-by-step explanation:

hope this helps :) and can i ask is that a leg next to the screen?

Answer:

7110 books

Step-by-step explanation:

5%*15800=0.05*15800=790

790*11=8690

15800-8690=7110

Therefore, 7110 books

Answer: 86,900

Step-by-step explanation:

I changed the 5% into decimal form and made it 0.5. Next, I multiplied 0.5 by 11, which gave me 5.5.

15,800 x 5.5 = 86,900

So, the author would’ve sold 86,900 books in the first 11 months.

(Sorry if wrong. Yeah I think I’m wrong now because I’m not even in high school. Just ignore this lol)

Answer:

1

Step-by-step explanation:

The absolute value of -3 is just 3, because it has a distance of 3 away from 0. Therefore, [tex]\mid -3 \mid -2=3-2=1[/tex]. Hope this helps!

Answer:

when you square root a number it can be negative or positive. squaring a number is multiplying a number by itself so 2 negatives = a positive and 2 positives = a positive. ex. (-3)x(-3)=9 as well as 3x3=9.

Step-by-step explanation:

Answer:

Absolute Value

Step-by-step explanation:

Meaning that -3 and 3 are the same distance away from the starting number or Zero

Answer:

1/6 a cup on each bowl

Step-by-step explanation:

1/2 divided by 3 is 1/6

Answer:

36

Step-by-step explanation:

Answer:

x = 24

Step-by-step explanation:

x/4+9=15

Subtract 9 from each side

x/4+9-9=15-9

x/4 = 6

Multiply each side by 4

x/4*4 = 6*4

x = 24

Answer:

[tex]x = 24[/tex]

Step-by-step explanation:

[tex] \frac{x}{4} + 9 = 15 \\ \\ \frac{x}{4} = 15 - 9 \\ \frac{x}{4} = 6 \\ 4 \times \frac{x}{4} = 6 \times 4 \\ x = 24[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

x=30

Step-by-step explanation:

Sin 60 = ((√3)/2), so x=90-60. x=30.

The required value of x for function sin(90°– x)= - √3/2 is x =150°.

A function is given as sin(90°– x)= - √3/2, Value of x for the function is to be determined.

The equation contains trigonometric operators such as sin, cos.. etc. In algebraic operation.

sin(90°– x)= - √3/2
sin(90°– x) = -sin60
90°-x = sin(-60°)
90°-x = -60°
-x = -60°-90°
x = 150°

Thus, the required value of x for function sin(90°– x)= - √3/2 is x =150°.

Learn more about trigonometry equations here:

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Answer:

63x-8<23

63x<23+8

63x < 31

63. 63

x < 0.492

Answer: Infinite solutions

Step-by-step explanation:

[tex]8-(2x-9)=17-2x[/tex]

Begin by distributing the negative into the parenthesis.

[tex]8-2x+9=17-2x[/tex]

Combine like terms;

[tex]17-2x=17-2x[/tex]

Subtract 17

[tex]-2x=17-17-2x[/tex]

[tex]-2x=-2x[/tex]

Add 2x

[tex]-2x+2x=0\\0=0[/tex]

Equation: 8 - (2x - 9) = 17 - 2x

First, we distribute the - sign.

8 -2x + 9 = 17 - 2x

Then, we combine like terms if there any on both sides.

17 - 2x = 17 - 2x

Now, we can see the equations are equal to each other.

However, we can go a step further and solve for x.

17 - 2x = 17 - 2x

Subtract 17 from both sides.

-2x = -2x

Divide both sides by -2.

x = x

Therefore, x has no value or is 0.

Answer:

you put a postive between your numbers

Step-by-step explanation:

[tex]\int\limits^a_b {x} \, dx[/tex] thats how it is :) XD lol

Answer:

35

Step-by-step explanation:

They told you that the mean is 7.

You know there are 5 numbers

Mean = (number 1 + number 2 + number 3 + number 4 + number 5) / 5 = 7

Sum = 7 x 5

= 35.

Answer:

88%

Step-by-step explanation:

Answer:

See explanation

Step-by-step explanation:

[tex]n^2+3n-7=2[/tex]

Subtract 2 from both sides:

[tex]n^2+3n-9=0[/tex]

Using the quadratic formula:

[tex]n=\dfrac{-3\pm\sqrt{9+36}}{2}=\dfrac{-3\pm \sqrt{45}}{2}=\dfrac{-3\pm 3\sqrt{5}}{2}[/tex]

I agree with you on the answer, have you tried both adding and subtracting the root? That is important, because there are two solutions to this problem. Feel free to discuss more and I can try to help!

Answer:

$25+$45=$70

Step-by-step explanation:

The only thing you have to do is add $25 and $45 hope this helps :)

Answer:

y = -3x - 9

Step-by-step explanation:

Equation of line in point slope form is given as:

[tex]y - y_1 = m(x-x_1) \\

y - 3= - 3\{x - (-4)\}\\

y - 3 = - 3(x + 4)\\

y =- 3x - 12 +3\\

y = - 3x - 9\\ is \: the \: required \: equation \\ [/tex]

Answer:

$484.06

Subtract 1084.12 from 2052.24 and that equals 968.12  then you divide that by 2

Answer: 132

Step-by-step explanation:

C=2[tex]\pi[/tex]r

C=2[tex]\pi[/tex]21

C=131.88

Answer:

(2x+1) (2x-7)

Step-by-step explanation:

Multiply the coefficient of the first term by the constant   4 • -7 = -28

Find two factors of  -28  whose sum equals the coefficient of the middle term, which is   -12

(  -28    +    1    =    -27  

     -14    +    2    =    -12  )

Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -14  and  2  

                    4x2 - 14x + 2x - 7

Add up the first 2 terms, pulling out like factors :

                   2x • (2x-7)

             Add up the last 2 terms, pulling out common factors :

                    1 • (2x-7)

Add up the four terms :

                   (2x+1)  •  (2x-7)

Answer:

Step-by-step explanation:

i=prt

p=principal=$90,000

r=3%=0.03 annual

t=3 years

i=90,000×0.03×3=8100 $

Answer:

$98100

Step-by-step explanation:

Using the given formula :

I = P × R × T

I = 90000 × 3/100 × 3

I = $8100

He saves = 8100 + 90000 = $98100

Answer:

the answer in decimal form is 21.009

Answer:

= 21.009

Step-by-step explanation:

First change it to an improper fraction

= 1000 x 21 + 9

= 21009/ 1000

You then divide it by 1000 without leaving a remainder.

= 21.009

Answer:

2 2/3

Step-by-step explanation:

8/3= 2 2/3

Find out how many times 3 goes into 8.

3 goes into 8: 2 times

Because

3x2=6

8-6=2

Then you keep the Denominator, 8.

Answer:

For example, since the denominator of the improper fraction 8/3 goes into its numerator 2 times—in other words, since 8 ÷ 3 = 2 remainder 2—we know that the whole number part of the mixed fraction representing the improper fraction 8/3 is 2. That's half the answer

Step-by-step explanation:

Hope this helps!!!!

The correct question is;

You spin the spinner, flip a coin, then spin the spinner again. Find the probability of the compound event. Write your answer as a fraction or percent. If necessary round your answer to the nearest hundredth. Find the probability of spinning an odd number, flipping heads, then spinning another odd number? Write your answer as a fraction in simplest form.

Answer:

If the spinner has an even number of spaces, the probability of spinning an odd number, flipping heads, then spinning a yellow is = 1/8

Whereas, if the spinner has an odd number of spaces, more information is needed

Step-by-step explanation:

The answer will depend on whether the spinner has an odd or even number of spaces.

Now, if we suppose that the spinner has an even amount of numbers on it, there will be an equal number of odd and even numbers.

Thus the probability of spinning an odd number is ½.

Also, the probability of flipping heads on a coin is ½.

Thus, the probability of spinning an odd number, flipping heads, then spinning another odd number is;

= ½ × ½ × ½ = ⅛

Similarly,

If the spinner has an odd amount of numbers on it, the probability of spinning an odd number will vary. For instance, if there are 5 spaces on the spinner, the probability of spinning an odd number will be

3

However, if there are 9 spaces, the probability will be 5/9

So,we can conclude that;

If the spinner has an even number of spaces, the probability of spinning an odd number, flipping heads, then spinning a yellow is = 1/8

Whereas, if the spinner has an odd number of spaces, more information is needed.

Answer:

85km/h which is 52.82mph

Step-by-step explanation: