What are the zeros of the polynomial function F(x) = x2 -5x-6?
O A. x= -1 and x = 6
O B. x= -6 and x = 1
O C. x = 2 and x = 3
O D. x= -3 and x = -2

Answers

Answer 1

Answer:

C

Step-by-step explanation:

Remark

The zeros are found either by using the quadratic equation or by factoring and equating the factors to 0. I think factoring is the best and simplest way.

Solution

x^2 - 5x + 6 factors into

(x - 3)(x - 2)

-3 and - 2 must multiply to 6 (they do) -3 * -2 = 6

-3 and -2 must also add to - 5. They do. -3 - 2 = - 5

So the factors are correct.

x - 3  = 0

x - 3 + 3 = 0 + 3

x = 3

x-2 = 0

x -2 + 2 = 0 + 2

x = 2

Answer

x = 2 and x = 3

The answer is C


Related Questions

to the nearest hundredth how many cm are in 18in? (1 in = 2.54 cm)

Answers

Answer:

45.72

Step-by-step explanation:

Since 1 inch is 2.54, you multiply 2.54 by 18 to find 18 inches in centimeters.

the temperature is -7F and drops 15F what is the temperature now

Answers

Answer:

I'm really not sure but I think it would be -22F

Step-by-step explanation:

negative 7 minus 15 is negative 22

Factor y² + 10z - 10y-yz.
A. (z-y)(y-10)
B. (y-z)(y-10)
C. (y-z)(10 - y)

Answers

Answer:

Option B, [tex](y - z)(y-10)[/tex]

Step-by-step explanation:

Step 1:  Factor out y and -z

[tex]y^2 - 10y - yz + 10z[/tex]

[tex]y(y - 10) - z(y - 10)[/tex]

[tex](y - z)(y-10)[/tex]

Answer: Option B, [tex](y - z)(y-10)[/tex]

Answer:

The answer is B,

(y-z)(y-10)

Step-by-step explanation:

y^(2) + 10z - 10y-yz

Add and subtract the second term to the expression and factor by grouping.

=(y-z)(y-10)

NO LINKS!!! THIS IS NOT MULTIPLE CHOICE!!!
When you list all of the possible outcomes in a sample space by following an organized system (an orderly process), it is called a systematic list. There are different strategies that may help you make a systematic list, but what is most important is that you methodically follow your system until it is complete.
To get home, Renae can take one of 4 buses: #41, #28, #55, or #81. Once she is on a bus, she will randomly select one of the following equally likely activities: listening to her MP3 player, writing a letter, or reading a book.

a. Create the sample space of all possible ways Renae can get home and do one activity by making a systematic list.

b. Use your sample space to find the following probabilites:
i. P(Renae takes an odd-numbered bus)
ii. P(Renae does not write a letter)
iii. P(Renae catches #28 bus and then reads a book)

c. Does her activity depend on which bus she takes? Explain why or why not.

Answers

Answer:

Part (a)

see attached for sample space

Part (b)

[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]

Total number of possible outcomes = 12

[tex]\textsf{P(Renae takes an odd-numbered bus)}= \dfrac{9}{12}=\dfrac34[/tex]

[tex]\textsf{P(Renae does not write a letter)}= \dfrac{8}{12}=\dfrac23[/tex]

[tex]\textsf{P(Renae catches no.28 bus then reads a book)}= \dfrac{1}{12}[/tex]

Part (c)

Her activity does not depend on which bus she takes, as we have been told that once she is on the bus, she randomly selects the activity.  Therefore, the activity selection is independent from the bus selection.

The sample space confirms this as it shows that the probability of the selecting each activity is equally likely for each of the 4 buses.

The ballfield has a concession stand where they sell snow cones for $0.50 each. The ingredients to make the snow cones costs $9 each day. They usually sell 35 snow cones per day. On Friday, it rained, and they only sold 20 snow cones. How much profit did the concession stand make after expenses that day?

Answers

Answer:

$4,86

Step-by-step explanation:

Profit without expenses - $0,50×20 snow cones

=$10

Let's calculate the percentage the seller takes for the ingredients daily

The seller per day makes-$0,50×35 snow cones=$17,5

This means the percent he takes for the ingredients from his/her $17,5 daily is- $9÷$17,5 ×100=51,4%.

NB-the 51,4% is the percentage of money he/she takes from the $17,5 everyday

Therefore if on the raining day he made $10

Then $10×51,4÷100=$5,14

NB-the $5,14 is the money he will take for the ingredients on the raining day

Therefore $10-$5,14=$4,86

Therefore the total profit he made with expenses is $4,86

I think of a number. If I subtract 9 from it and multiply this difference by 4, the
result is 128.

Answers

Answer:

you were thinking of 41

Step-by-step explanation:

(x-9)*4=128

(x-9)=128/4

(x-9)=32

x=32+9

x=41

Answer:

41

Step-by-step explanation:

Let n be the number

Subtract 9

n-9

Multiply this by 4

4(n-9)

The result is 128

4(n-9)=128

To find the number divide each side by 4

4(n-9)/4=128/4

n-9 = 32

Add 9 to each side

n-9+9 = 32+9

n = 41

My bro needs help asap

Answers

Answer:

A and C

Step-by-step explanation:

If you earn $48,000 per year, how much will you receive on a biweekly basis?

Answers

$48,000 a year is $1,846.15 biweekly before taxes and approximately $1,384.62 after taxes. Paying a tax rate of around 25% and working full-time at 40 hours a week, you would earn $1,384.62 after taxes. To calculate how much you make biweekly before taxes, you would multiply $23.08 by 40 hours and 2 weeks

Answer:

$48,000 ÷ 26 = $1,846.15

I hope this helps!!

118 x 2 what is the sum

Answers

Answer:

236

Step-by-step explanation:

the sum would be 236

In a class of 22 students, 9 are female and 7 have an A in the class. There are 8
students who are male and do not have an A in the class. What is the probability that
a student chosen randomly from the class does not have an A?

Answers

Answer:15/22

Step-by-step explanation:


If P(A) = 1/6 , P(B) = 5/12, and P(A\B) + P(B\A) = 7/10 Find P(AUB)

Answers

Probability is the likelihood or chance that an event will occur. The probability of P(AUB) is 1/2

Conditional probability

Probability is the likelihood or chance that an event will occur. Given the following parameters

If P(A) = 1/6

P(B) = 5/12

P(A\B) + P(B\A) = 7/10

Required

p(AUB)

Recall that:

P(A|B)=P(AnB)/P(B)

P(B|A) = P(BnA)/P(A)

P(AnB)/P(B) + P(BnA)/P(A) = 7/10
12/5P(AnB) + 6P(BnA) = 7/10

42/5P(BnA) = 7/10
6/5P(BnA) = 1/10
6P(BnA) = 1/2
P(BnA) = 1/12

Determine P(AUB)

P(AUB) = P(A) + P(B) - P(AnB)
P(AUB) = 1/6 + 5/12 - 1/12
P(AUB) = 1/6 + 4/12
P(AUB) = 2+4/12
P(AUB) = 1/2

Hence the probability of P(AUB) is 1/2

Learn more on probability here: https://brainly.com/question/24756209

Help please really important!! Will make brainiest

Answers

Answer:

This is all I have right now. The ray makes me think about drawing a circle in the middle and somehow using the diameter to find the height of the triangle. It's just weird because we don't know the base and I'm not sure how to find that without at least knowing the height & using pythagorean theorem.


Although it's not much, hopefully this can steer you in the right direction! Maybe you're way smarter than me and know where to take it from here lol Good luck

5.
6.) Mrs. Allison is making a blanket for her horse. She has 16 feet of fabric. Mrs. Allison cut
three pieces of fabric and each piece is 4 feet. How much fabric is left?

Answers

3•4=12
16-12=4

She has 4feet left

The area of the base and total surface area of a square based solid pyramid are 144 sq. cm and 384 sq cm respectively. What will be the volume of the pyramid? Find it​

Answers

Answer:

  384 cubic centimeters

Step-by-step explanation:

We are given the base area and total area of a square pyramid and asked to find the volume. The typical volume formula for a pyramid requires that we know the height of it. We can use the formula for the surface area to find the slant height of a face, and we can use the slant height to find the height perpendicular to the base.

__

face area

  total surface area = base area + area of 4 faces

  area of 4 faces = total surface area - base area

  area of 4 faces = 384 cm² -144 cm² = 240 cm²

  area of 1 face = 240 cm²/4 = 60 cm²

__

slant height

The side length of the square base is ...

  A = a²

  a = √A = √(144 cm²) = 12 cm

and the slant height of one face is ...

  A = 1/2as

  s = (2A)/a = (2×60 cm²)/(12 cm) = 10 cm

__

pyramid height

The distance from the center of the base to the edge of the base is (12 cm)/2 = 6 cm. That is one leg of the right triangle whose hypotenuse is the slant height of the face. The other leg of the triangle is the height of the pyramid:

  H² = s² -(a/2)² . . . . Pythagorean theroem solved for one leg

  H = √(10² -6²) = 8 . . . . cm . . . . height of the pyramid

__

volume

Now we know the base area of the pyramid (B), and we know its height (H), so we can use the formula ...

  V = 1/3BH

  V = 1/3(144 cm²)(8 cm) = 384 cm³

The volume of the pyramid will be 384 cm³.

If a tax of $6.75 is charged on an $84.37 purchase, what is the sales tax rate?

Answers

Answer:

8%

Step-by-step explanation:

[tex] \frac{6.75}{84.37} = .08[/tex]


Which statement best
explains whether using a calculator or determining the solution by hand would be the most
efficient way to fully simplify the expression
5/8 + 1/8 + 2/5 - 1?
•The sum of the first two fractions can easily be determined, but because the third fraction has a different
denominator, solving this
using a calculator would most likely be more efficient.
•Adding and subtracting whole numbers and fractions is always a time-consuming process to complete by hand, so
solving this using a calculator would most likely be more efficient.
•The first calculation can be done quickly by hand, so solving this problem by hand would most likely
efficient.
be more

The denominators of the first two terms cancel each other out, so solving this problem
more efficient.
by hand would most likely be

Please hurry up I am timed

Answers

Answer:

The First one

Step-by-step explanation:

An art teacher had 2/3 gallons of paint to pour into containers. If he poured 1/8 gallon of paint into each container until he ran out of paint, how many containers had paint in them, including the one that was partially filled?

Answers

6 containers have paint in them.

Step-by-step explanation: Firstly we must convert them to similar fractions, so times the denominator of each fraction by the denominator and numerator of the other fraction (the denominator is the bottom number and the numerator is the top number.) So 3 times 1 is 3, 3 times 8 is 24, so the fraction of paint poured into each container changes to 3/24. 8 times 2 is 16, 8 times 3 is 24, so the total amount of paint poured is 16/24, divide the numerator of paint poured by the numerator of paint in each container, so 16 divided by 3, you get 5 remainder 1, the remainder 1 still counts as part of the next container so 6 container have paint in them.

Hope this helps.

What is the area of this figure?
2 yd
8 yd
4 yd
2 yd
7 yd
2 yd
8 yd
17 yd

Answers

Answer:you have to multiply all the numbers to find the area

Step-by-step explanation:

What number would you divide by to calculate the mean of 2, 5, 4, and 3?

Answers

To determine the number that you would divide by to calculate the mean:

   ⇒ must determine the definition of the mean

Definition of Mean: a single number taken as representative of a list of numbers, usually the sum of the numbers divided by how many numbers are in the list

Since there are 4 numbers:

 ⇒ the number would you divide by to calculate the mean is 4

Hope that helps!

Answer:

answer is either 1 or 3.5

Step-by-step explanation:

first you need to add all of the numbers together then divide by the amount of numbers ( in this case there are 4 numbers)

2+5+4+3=14

14/4=3.5 which gets you the mean

but sometimes it will want you to go a step further and do this-

finding the distance from each number from the mean found like this!

3.5-2=1.5

5-3.5=1.5

4-3.5=.5

3.5-3=.5

then add these together

1.5+1.5+.5+.5=4

then 4 divided by tghe amount of numbers which is 4

4/4=1 so that is taken a step further but the answer is either

The sum of two consecutive odd integers is 96. what is the product of these integers?

Answers

Answer:

47 and 49

Step-by-step explanation:

Answer:

2303

Step-by-step explanation:

Let the smaller of the two odd integers be x.

Then the next odd integer is x + 2.

Since the sum of these 2 integers is 96, we may write x + (x + 2) = 96

Now solving for x we obtain:

2x = 94

x = 47

To find the next value we can subtract 47 from 96, which is 49.

Hence, the required two integers are 47 and 49. Multiplying them, we get a product of 2303.

hope this helps!

What is the mean of the data set?

14, 19, 18, 12, 22, 15, 16, 16, 14, 14, 21, 20


15.75

16.00

16.75

19.50

Answers

Answer:

16.75

Step-by-step explanation:

The mean of a set of numbers is the sum divided by the number of terms.

Answer:

16.8125 or 16.8

Step-by-step explanation:

Hattie has 2 red toys and 3 blue toys. What is the probability she will play with a blue toy?

3/5

3/4

2/5

1/2

Answers

Answer:

3/5

Step-by-step explanation:

If she have 2 red toys and 3 blue toys, then she have 5 toys.

She can take one of 3 blue toys from 5 toys (I hope that you know what I mean)

Her chance is 3/5 to take the blue one

How many ounces of pure alcohol should be added to 500 ounces of 35 % alcohol solution to produce a solution that is 50 %?

Pesent your answer as an integer or a reduced fraction. Do not use decimals.

Answers

Answer:

  150 ounces

Step-by-step explanation:

It is convenient to write an equation for the total amount of alcohol in the mix.

__

Let x represent the amount of pure alcohol added. Then the amount of alcohol in the mix is ...

  500(35%) +x(100%) = (500 +x)(50%)

  x = 500(15%) +x(50%) . . . . . . . subtract 500(35%)

  x(50%) = 500(15%) . . . . . . . . . . subtract x(50%)

  x = (500)(15%)/(50%) = 150 . . . . divide by the coefficient of x

150 ounces of pure alcohol should be added to produce the desired solution.

Find the Product and Combine similar terms.
1. -1(7+4b) =
2. x(x²–2xy+y²) =
3. -5x(-3+x) =​

Answers

-1(7+4b) - distribute the -1 to the expression
(-1 * 7) + (-1 * 4b) — ( + and - = - )when it is multiplied
= -7 - 4b — there is no like term to added to subtracted so it will stay as like

x(x^2 - 2xy+y^2) distribute x to all
= x(x^2) - x(2xy) + x(y^2)
= x^3 - 2x^2y + xy^2 in multiplication exponent add to similar variable
No like term to connect

-5x(-3+x)
= -5x(-3) -5x(+x). (- and - is +)
= 15x -5x. similar variable x so connect the like connect like term by subtracting them
= 10x


I need help plslslsls​

Answers

Answer:

a) Positive

b) 146

Step-by-step explanation:

As the data os going up, it is a positive correlation. For part b, you need to draw a line through the general area of all the points and see how much revenue is made from raincoats.

which graph shows the image of the triangle after transforming at using the rule Z (x,y) (x,-y)

Answers

Answer:See the attached figure. The original triangle is shown in red (triangle ABC). The line of reflection is the blue dashed line. This is the equation y = x. Reflecting triangle ABC over the line y = x results in the purple triangle A'B'C'.

Note how the x and y values swap places.

We have...

point A = (5,1) turn into point A' = (1,5)

point B = (8,1) turn into point B' = (1,8)

point C = (8,6) turn into point B' = (6,8)

The swap occurs because the rule (x,y) --> (y,x) tells this to happen.

The purple triangle is the final answer.

Step-by-step explanation:

Solve for an angle in right triangles. Round to the nearest hundredth

Answers

[tex]\bold{ANSWER:}[/tex]
39.81

[tex]\bold{EXPLANATIONS:}[/tex]

Answer:

39.8°

Step-by-step explanation:

Soh Cah Toa

Soh: sine = opposite / hyp

Cah: cos = adj / hyp

Toa: tan = opp / adj

You have 2 sides so you would use tangent

tan θ = 5/6

tan^-1 (5/6)

= 39.8°

Part A Using opposite operations, rewrite the equation so s2 is on one side of the equation by itself. Part B What is the opposite operation of squaring? Using this opposite operation, rewrite the equation from question 1 so s is by itself on one side of the equation. Part C The pyramid of Khufu, also known as the Great Pyramid of Giza, is one of the Seven Wonders of the World. Its volume is about 2,433,400 cubic meters, and its height is about 138 meters. Substitute these values into the equation from Part B, and solve the equation. Part D Search the Internet to find the length of each side of the base of Khufu’s pyramid. Does this length match your calculation? Part E Khafre was a son of Khufu. He also had a pyramid built, but it was not as big as his father’s. The volume of the Pyramid of Khafre is about 2,115,072 cubic meters, and its height is about 136 meters. Approximate the length of each side of the base. Part F Search the Internet to find the length of each side of the base of Khafre’s pyramid. Does this match your calculation? Part G About how much longer are the side lengths of the base of Khufu’s pyramid than Khafre’s?

Answers

Answer:

Part A: S^2= 3V/H

Part B: S =\sqrt{3\frac{v}{h} }

Part C: s=√3* 2,433,400 /138=230 metres

Part D: This website says that the length of Khufu’s Pyramid is about 230 meters. My calculation was correct.

Part E: S = √3*2,115,072/ 136 =216 metres

Part F: The length of Khafre’s pyramid is about 215.5 My calculation was a little off, but not by much.

Part G: 14 meters longer

Step-by-step explanation:

Part A:

I am going to solve:

So,

V=1/3 HS^{2}

Then, multiply both sides by 3:

V x 3= 1/3 HS^{2} x 3

So,

3V=HS^{2}

Then, we divide by H:

\frac{3V}{H}=\frac{HSs^{2} }{H}

So,

\frac{3V}{H}= s^{2}

Then switch sides:

s^{2}= \frac{3V}{H}

I hope this helps

Step-by-step explanation:

MARK A BRAIN LESS

Answer:

Part A: Inverse operations are operations that undo each other that is they result to the original number or variable.  s2 = 3V / H.

Part B: opposite operation of squaring is taking a square root. S = 3 v/h

Part C: s=√3 2,433,400 /138=230

Step-by-step explanation:

Im sorry thats all I know

What do scientists believe are the descendants of dinosaurs?

A. Fish
B. Birds
C. Chimpanzees
D. Rats​

Answers

Answer:

B

Birds are related to theropod dinosaurs — a group that includes the Tyrannosaurus rex.

Theropods were bipedal dinosaurs, meaning they walked on two legs, not four like many other dinosaurs. When we look at the modern-day emu or ostrich, the resemblance to these dinosaurs is striking, especially when examining their bone structure.

Birds have scales like many dinosaurs and some dinosaurs may have had feathers.

Scientists have discovered that the tissues used to produce scales in reptiles are similar to those that produce feathers in birds. This suggests that there is a common ancestor between dinosaurs, birds, and reptiles. Furthermore, birds have scales on their feet!

Birds lay eggs similar to dinosaurs and reptiles.

The similarities between bird and reptile eggs are well known, but they also share traits with dinosaur eggs.

Most dinosaur eggs are hard-shelled, just like the eggs of our modern-day feathered friends. They are also both made up of the same basic elements, calcium, and carbon, which form crystal structures that make the eggshell more difficult to crack.

What is a good first step to solve 4x + 3 = 15?
O Subtract 3 from both sides.
Combine 3 and 15 to make 18.
O Divide by 15.
O Add 4x and 3.
Divide both sides by 4.

Answers

to get the value of x, you must subtract 3 on both sides.
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