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

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:

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:

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

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°

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

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

   ⇒ must determine the definition of the mean

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

Answer:

A and C

Step-by-step explanation:

Answer:

236

Step-by-step explanation:

Answer:

8%

Step-by-step explanation:

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

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.

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)

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.

__

  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

__

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

__

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

__

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.

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

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.

$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!!

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.

Answer:15/22

Step-by-step explanation:

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

Answer:

The First one

Step-by-step explanation:

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.

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.

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

Step-by-step explanation:

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

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

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

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!

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.

Answer:

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

Step-by-step explanation:

negative 7 minus 15 is negative 22