Form a polynomial whose zeros and degree are given.
Zeros: 6, multiplicity 1; 3, multiplicity 2; degree 3
Type a polynomial with integer coefficients and a leading coefficient of 1 in the box below.
f(x) = (Simplify your answer.)

First, we need to use slope formula* to find the slope.

[tex]m = \frac{-2 - 6}{3 - (-1)} = \frac{-8}{4} = -2[/tex]

Second, we use the slope we found and ONE of the 2 points listed and plug it into slope-intercept form** to solve for b.

Here is what we have so far:

I'm going to use this point:

Here is how to find b:

[tex]-2 = -2(3) + b\\\\-2 = -6 + b\\\\4 = b[/tex]

Finally, we put all of it together and we have our equation.

[tex]y = -2x + b[/tex]

*Slope formula: m = y₂ - y₁/x₂ - x₁

**Slope-intercept form: y = mx + b

Answer:

Around 82-81% aren't yellow.

Step-by-step explanation:

Add together the number of marbles that aren't yellow and divide the total of NON YELLOW with the total (32) to get around 82-81%.

Answer:

Jan takes a drink 6 times.

Step-by-step explanation:

The information provided is:

Compute the number of times Jan takes a drink as follows:

[tex]\text{Number of times Jan takes a drink}=\frac{\text{Number of miles walked}}{\text{Interval for a drink}}[/tex]

                                                       [tex]=\frac{9/2}{3/4}\\\\=6[/tex]

Thus, Jan takes a drink 6 times.

30g

your welcomeeeeeeeeeeeee

Answer:

47

Step-by-step explanation:

You would divide 141 by 3 because there was  three sweatshirts bought, so the answer from that would be the price of one.

141/3=47

Answer:

A

Step-by-step explanation:

It isn’t because if you do the vertical line test and try to put vertical lines all throughout the graph, two dots will touch the same line.

Answer:

C) 2  1/2

Step-by-step explanation:

125 divided by 50 is 2.5 or 2 1/2.

Answer:

um i only 12 so uhh 29

Step-by-step explanation:

heh

Answer:

50×5=78

5÷3.00/83.00(ab)

Step-by-step explanation:

Answer:

900 yards.

Step-by-step explanation:

The circumference of a circle is the length of the circle's side.

Hence, for every one rotation, the wheel rotates once, and the unicycle travels the distance of the wheel's circumference.

Therefore, for 1000 rotations, and every rotation travelling 0.9 yards, the distance traveled would be 1000 * 0.9 = 900 yards.

Hope this helped!

4w-24≤-12

4w≤12

w≤3

the answer i got is fifth first

Answer:

a

Step-by-step explanation:

y=4x+6 is the equation simplified and that is what the graph is showing.

Answer:

A  y-2=4(x+1)

Step-by-step explanation:

y-2=4(x+1)

Answer:

Probability = 1/3

Step-by-step explanation:

The drawer of loose socks contains 2 red socks, 2 green socks, and 6 white socks.

This is a total of 10 socks.

Probability of pulling a white socks = 6/10

Since it is not replaced, it means we have 5 white socks left out of a total of 9 now.

Probability of pulling out another white socks = 5/9

Thus;

The combined probability is;

6/10 × 5/9 = 30/90 = 1/3

Hellooooo!

My Answer:

The answer is letter C.

The Explanation:

The probability that the first sock is white is 6/10 and the second one is white is 5/9, so the probability of choosing a pair of white socks is 30/90 = 1/3.

9514 1404 393

Answer:

   B)  -3

Step-by-step explanation:

There are methods for finding only c. Cramer's rule is one of them. It involves finding two determinants and taking their ratio. Here, we choose a more ad hoc approach. It appears that the value of b can be found by combining the last two equations.

  (1/2)(2a +4b -2c) -(a -3b -c) = (1/2)(12) -(-4)

  5b = 10

  b = 2

Now, we can substitute this value into the first two equations. This gives ...

  5a +c = -8

  a - c = 2

Subtracting 5 times the second from the first gives ...

  (5a +c) -5(a -c) = (-8) -5(2)

  6c = -18 . . . . simplify

  c = -3 . . . . . . divide by 6

The value of c is -3.

9514 1404 393

Answer:

  CG = 19

  FB = 14.7

Step-by-step explanation:

The circumcenter is equidistant from the triangle vertices, so GA = GB = GC.

The length of GA is given, so we have ...

  GA = 19 = CG

__

Then the Pythagorean theorem can be used to find FB.

  FB² +FG² = GB²

  FB² = GB² -FG² = 19² -12² = 217

  FB = √217 ≈ 14.7

Answer:

739,266

Step-by-step explanation:

Answer:

16p+6

Step-by-step explanation:

Answer: The symbol is < for both

The correct explanations are;

A) Vertical angles.

B) Corresponding angles theorem

C) Transitive property.

What are Parallel lines?

Parallel lines are those lines that are equidistance from each other and never intersect each other.

Given that;

Two lines x and y are parallel.

w is transversal of x and y.

Now, To prove ∠4 ≅ ∠5 we use;

Since, Two lines x and y are parallel.

So, We can apply all the properties of angles of triangles.

  Statements                                 Reasons

1. x || y                                           1. Given

2. w is transversal                         2. Given

3. ∠4 ≅ ∠1                                    3. Vertically opposite angles.

4. ∠1 ≅ ∠5                                    4. By Corresponding angles theorem.

5.  ∠4 ≅ ∠5                                  5. By Transitive property.

Thus, The correct explanations are;

A) Vertical angles.

B) Corresponding angles theorem

C) Transitive property.

Learn more about the parallel lines visit:

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Answer:

6 3/4 cups.

Step-by-step explanation:

If 2 1/4 cups serves 4, you need to serve 12 so you would multiply the amount of butter by 3 and get 6 3/4 cups of butter.

Answer:

Step-by-step explanation:

AB:

d = sqrt ( (−5−2)^2 + (−2−(−8))^2)

d = sqrt( (−7)^2 + (6)^2  )

d = sqrt(49+36)

d = sqrt(85)

d = 9.219544

BC:

d = sqrt ( (−7−(-5))^2+(3−(−2))^2 )

d = sqrt( (−2)^2 + (5)^2  )

d = sqrt(4+25)

d = sqrt(29)

d = 5.385165

AC:

d = sqrt ( (−7−(2))^2+(3−(−8))^2 )

d = sqrt( (−9)^2 + (11)^2  )

d = sqrt(81+121)

d = sqrt(202)

d = 14.21267

DE:

d = sqrt ( (−11−(-9))^2+(12−7)^2 )

d = sqrt( (−2)^2 + (5)^2  )

d = sqrt(4+25)

d = sqrt(29)

d = 5.385165

EF:

d = sqrt ( (−2−(-11))^2+(1−12)^2 )

d = sqrt( (9)^2 + (-11)^2  )

d = sqrt(81+121)

d = sqrt(202)

d =14.21267

DF:

d = sqrt ( (−2−(-9))^2+(1−7)^2 )

d = sqrt( (7)^2 + (-6)^2  )

d = sqrt(49+36)

d = sqrt(85)

d = 9.219544

Yes, the triangles are congruent because the lengths are the same.

Answer: -1.5

because one of the numbers is - 10 => the other is 15/-10 = -1.5

Step-by-step explanation:

Answer:38

Step-by-step explanation:

The diagonal of a rectangle creates the hypotenuse of a right triangle. Use the Pythagorean theorem, a2 + b2 = c2, where a = 30 ft and b = 24 ft, to calculate the length of the fence c.

a2 + b2 = c2

302 + 242 = c2

900 + 576 = c2

1476 = c2

38.42 ≈ c

The fence should be about 38 feet long. Isn't it strange to divide a garden in half diagonally with a fence? It doesn't seem to serve the purpose of keeping intruders out. It doesn't seem to serve any purpose, really.

Answer:

[tex]7c+29\leq 16[/tex]

Step-by-step explanation:

The inequality will be written as 7c + 29 ≤ 16.

inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.

Given information translate the sentence into an inequality. The sum of a number times 7 and 29 is at most 16. The inequality in the mathematical form will be written as below:-

The sum of a number times 7 and 29 is at most 16.

7c + 29 ≤ 16.

Therefore, the inequality will be written as 7c + 29 ≤ 16.

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Answer:

If a coin is tossed 4 times; number of possible outcomes = (2^4) = 16. 3 heads and 1 tail can occur from 4 tosses in (4C3)*(1C1) = 4*1 = 4 ways. So, the probability = (4 / 16) = (1 / 4) = 0.25.  

i didnt really understand the question but hope this helps

According to the information given, we have that:

For each coin, there are only two possible outcomes, either it is heads, or it is tails. The result of the flip of a coin is independent of any other flip, hence, the binomial distribution is used to solve this question.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

Item a:

Hence, a binomial model with [tex]p = 0.5[/tex] and [tex]n = 4[/tex] should be used.

Item b:

P(B) is P(X = 3), hence:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 3) = C_{4,3}.(0.5)^{3}.(0.5)^{1} = 0.25[/tex]

Hence, P(B) = 0.25.

To learn more about the binomial distribution, you can take a look at https://brainly.com/question/24863377

Answer:

5x + 2y = -15

2y = -15-5x

y = -5/2x-15/2

SLOPE:  -5/2