g(r) = (r + 14)? – 49
1) What are the zeros of the function?
Write the smaller r first, and the larger T second.

Answers

Answer 1
The zeros are
Larger
Smaller
2)The vertex is (-12.5,-2.25)
Step-by-step explanation:
The given function is:

This function is already in the factored form therefore it is easy to find the zeros,

Either or
The zeros are or
b) The expanded form of the given function is:

We obtain the vertex form by completing the square:

The vertex form is:

Therefore the vertex is (-12.5,-2.25)
Answer 2

Answer:

smaller r =-21

larger r =-7

 

The vertex of the parabola is at

(-14,-49)


Related Questions

Jim has 28 mangoes he gave Tom 8 how many does Jim has

Answers

Answer: 20 mangoes.

Step-by-step explanation: This is a simple subtraction problem. If you take away 8 from 28, you'll have 20.

28 - 8 = 20

I need help on 8

...............................

Answers

Answer:

55

Step-by-step explanation:

60 minutes is an hour 60 - 5 is 55

Answer:

55

Step-by-step explanation:

60 minutes is an hour 60 - 5 is 55

If the distance from A (5,6) to B (1, b) is twice the distance from B to
C(1, -3), determine the possible values of b.

Answers

Answer:

The possible values of [tex]b[/tex] are -2.944 and -9.055, respectively.

Step-by-step explanation:

From statement we know that [tex]AB = 2\cdot BC[/tex]. By Analytical Geometry, we use the equation of a line segment, which is an application of the Pythagorean Theorem:

[tex]AB = 2\cdot BC[/tex]

[tex]\sqrt{(x_{B}-x_{A})^{2}+(y_{B}-y_{A})^{2}} = 2\cdot \sqrt{(x_{C}-x_{B})^{2}+(y_{C}-y_{B})^{2}}[/tex] (1)

Where:

[tex]x_{A}[/tex], [tex]x_{B}[/tex], [tex]x_{C}[/tex] - x-Coordinates of points A, B and C.

[tex]y_{A}, y_{B}, y_{C}[/tex] - y-Coordinates of points A, B and C.

[tex](x_{B}-x_{A})^{2}+(y_{B}-y_{A})^{2} = 4\cdot (x_{C}-x_{B})^{2}+4\cdot (y_{C}-y_{B})^{2}[/tex]

Then, we expand and simplify the expression above:

[tex]x_{B}^{2}-2\cdot x_{A}\cdot x_{B} +x_{A}^{2} +y_{B}^{2}-2\cdot y_{A}\cdot y_{B} + y_{A}^{2} = 4\cdot (x_{C}^{2}-2\cdot x_{C}\cdot x_{B}+x_{B}^{2})+4\cdot (y_{C}^{2}-2\cdot y_{C}\cdot y_{B}+y_{B}^{2})[/tex]

[tex]x_{B}^{2}-2\cdot x_{A}\cdot x_{B} + x_{A}^{2} +y_{B}^{2}-2\cdot y_{A}\cdot y_{B} + y_{A}^{2} = 4\cdot x_{A}^{2}-8\cdot x_{C}\cdot x_{B}+4\cdot x_{B}^{2}+4\cdot y_{C}^{2}-8\cdot y_{C}\cdot y_{B}+4\cdot y_{B}^{2}[/tex]

If we know that [tex]x_{A} = 5[/tex], [tex]y_{A} = 6[/tex], [tex]x_{B} = 1[/tex], [tex]y_{B} = b[/tex], [tex]x_{C} = 1[/tex] and [tex]y_{C} = -3[/tex], then we have the following expression:

[tex]1 -10 +25 +b^{2} -12\cdot b+36 = 100 -8 +4 +36+24\cdot b +4\cdot b^{2}[/tex]

[tex]b^{2}-12\cdot b +52 = 4\cdot b^{2}+24\cdot b +132[/tex]

[tex]3\cdot b^{2}+36\cdot b +80 = 0[/tex]

This is a second order polynomial, which means the existence of two possible real solutions. By Quadratic Formula, we have the following y-coordinates for point B:

[tex]b_{1} \approx -2.944[/tex], [tex]b_{2} \approx -9.055[/tex]

In consequence, the possible values of [tex]b[/tex] are -2.944 and -9.055, respectively.

Which set of shapes could you use to form a net for a
triangular prism?

O 5 triangles
О 4 triangles, 1 rectangle
O 3 triangles, 2 rectangles
O 2 triangles, 3 rectangles

Answers

Draw a triangular prism and you see 2 triangles on the end with 3 rectangle connecting them
So the answer is: 2 triangles, 3 rectangles

What will the function f(x) = x² look like translated 3
units right and 8 units down?

Answers

Answer:

it will look the same, just shifted.

Step-by-step explanation:

The parabola will be the same shape, size, etc., it will simply be in a different location. Instead of the bottom of the parabola being at (0,0), it will be at (3, -8). translated right 3, down 8.

Do the following conditions make a unique triangle, more than one triangle or no triangle possible

Answers

Answer:

No triangle possible

Step-by-step explanation:

The one side is to short to make a triangle

Yukarıda verilen şekilde,
[LK // [NP, m(LMN) = 40°, m(KLM) = aº,
m(MNP) = bº ve b = a + 70°'dir.
Buna göre a kaç derecedir?
A) 30
B) 35
C) 60
D) 75

Answers

C, 60 hope this helps it helped me on my test

help plssssssssssssssssss

Answers

Answer:

3) Not equivalent

4) Equivalent

5) Equivalent

(Multiply by two for the last two questions)

A Customer Telephone Center receives 1,200 calls in a 24-hour period. Of these calls, 75% occur between 9:30 a.m. and 3:30 p.m., and calls are evenly distributed during this time. If each person handles 10 calls an hour, how many people are needed to handle calls during these hours

Answers

Divide Total time into two Time Periods. A regular Demand and a High Demand Time Period. Since 75% of the 1,200 calls occur between 9:30 am and 3:30 pm. We multiply .75 x 1,200 to get 900. We get an average of 900 calls every day between the hours of 9:30 am and 3:30 pm – Our net time for this time period is 6 hours.

Therefore, 6 Hours/900 becomes our quotient

Again, since the denominator is larger we invert it to 900 calls/6 Hours

To get a demand of 150 calls per hour.

We need to be able to handle 150 calls per hour.

So how Many Call Representatives are needed?

Again, our historical data tells us that each person can handle 10 calls an hour.

Therefore 150 calls per hour /10 Minutes = 15 Customer Service Representatives are needed during Peak Time!

Now, Subtract the Peak Hours from the 21 Hours Net Time Per day, gives us 15 Non-Peak hours we have to staff.

the length of a road is 1000 miles. if 1 inch represents 100 miles, what is the length of the road on the map?

Answers

Answer: 10 miles

Step-by-step explanation:

Given

The length of the road is 1000 miles

Solve

The length of the map to real=1 : 100Let x be the length on the map

1 : 100 = x : 1000 ⇔ Proportion Set Up

100x = 1000 ⇔ Cross Multiply

100x/100 = 1000/100 ⇔ Divide both sides by 100

x=10 ⇔ Simplify

Hope this helps!! :)

Please let me know if you have any questions

Use the method of elimination to determine whether the given linear system is consistent or inconsistent. If it is consistent, find the solution if it is unique, otherwise describe the infinite solution set in terms of an arbitrary parameter t. (Note that a system of equations is said to be consistent if it has at least one solution)

4x - 2y + 6z = 0
-y-z=0
- y + 3z = 0

Answers

Answer:

Step-by-step explanation:

From the given information;

We will realize that in the 2nd & 3rd equation, the integer "x" is missing.

So, the correct equation should be:

4x - 2 + 6z = 0

x - y - z = 0

2x - y + 3z = 0

By rearrangement; if we switch equation (1) and (2)

x - y - z = 0      ----- (1)

4x - 2 + 6z = 0 ------ (2)

2x - y + 3z = 0  ------ (3)

If we multiply equation (1) and add that to  equation (2);

Then, we have:

x - y - z = 0

2y + 10z = 0

2x - y + 3z = 0

Also, if we multiply equation (1) by -2 and add that to equation (3), we have:

x - y - z = 0

2y + 10z = 0

y + 5z = 0

From above recent equation, if we swap equation (2) and (3);

x - y - z = 0

y + 5z = 0

2y + 10z = 0

Then, multiply equation (2) with -2, followed by adding it to equation(3);

Then:

x - y - z = 0

y + 5z = 0

0 = 0

Now, there exists no equation (3). Thus, let assume z = t to solve for x & y

y + 5z = 0

y = -5t

Similarly;

x - y - z = 0

x = -5t + t

x = -4t

Hence;

x = -4t; y = -5t; &  z = t

Which one is the greatest volume

Answers

Answer: The First Cylinder has more volume

Step-by-step explanation:

1. V = 471.24

2. V = 282.74

. A carbon filter is used by a scientist to filter out small particles of soil and rocks
from a water sample taken from a stream. The exponential function f(x) =
500(0.35) * can be used to model the function. Which of the following could be
represented by the value 500 in the function rule?

Answers

Answer:

C- The size of the initial water sample, in gallons.

Step-by-step explanation:

Suppose we are interested in bidding on a piece of land and we know one other bidder is interested. The seller announced that the highest bid in excess of $10,200 will be accepted. Assume that the competitor's bid x is a random variable that is uniformly distributed between $10,200 and $14,500.
a. Suppose you bid $12,000. What is the probability that your bid will be accepted?
b. Suppose you bid $14,000. What is the probability that your bid will be accepted?
c. What amount should you bid to maximize the probability that you get the property?
d. Suppose you know someone who is willing to pay you $16,000 for the property. Would you consider bidding less than the amount in part (c)? Why or why not?

Answers

Answer:

0.4185;

0.8835;

$14500;

No

Step-by-step explanation:

Given that :

a = 10200

b = 14500

f(y) = 1 /(b - a) = 1/(14500 - 10200) = 1/4300 = 0.0002325

A.)

P(x <12000) = ∫fydy at(12000 ; 10200) = ∫0.0002325dy at(12000 ; 10200)

P(x < 12000) = 0.0002325(12000) - 0.0002325(10200) = 0.4185

B.)

P(x <14000) = ∫fydy at(14000 ; 10200) = ∫0.0002325dy at(14000 ; 10200)

P(x < 14000) = 0.0002325(14000) - 0.0002325(10200) = 0.8835

(c.) 14500 ; because competitor's bid is at most 14500

D.) No ; Because by bidding $14500 ; getting the property is certain ; once the property is gotten, then it could be resold for $16000, to make a profit of $1500 ; by bidding less, winning the bid becomes uncertain which may means the profit might be lost in the long run.

8. Change the fraction 3/4 to a percent.
A. 133%
B. 75%
C.63%
D. 34%

Answers

Answer:

B. 75%

Step-by-step explanation:

multiply the numerator and the denominator by 25. 3*25/4*25=75/100. 3/4=75%.

Answer:

75%

Step-by-step explanation:

Start by converting the fraction 3/4 into decimal

Divide the numerator by the denominator: 3 ÷ 4 = 0.75

Multiply the decimal by 100 and write the result with the percentage sign at the end 0.75 × 100 = 75%.

your awnser is, 3/4 = 75%

(sorry if this doesnt

make sence)

Solve for x. -4.5 = -0.5(x – 7.1)​

Answers

Answer:

16.1

Step-by-step explanation:

Answer:

I believe the answer is x = 16.1

Step-by-step explanation:

Solve the equation 6 = p -8

Answers

Answer:

p = 14

Step-by-step explanation:

6 = p - 8

We want to isolate p, so add 8 to both sides.

6 + 8 = p

Add.

14 = p

Hope this helps!

Answer is: P = 14

Switch up the numbers.

6 = p - 8 → 6 + 8 = P

Solve for P.

6 + 8 = 14

Hence, 14 is the answer.

Kailynn observed a SpaceX rocket on the launch pad in Cape Canaveral, Florida. The rocket is 230 feet tall, and Kailynn measures the angle of elevation between the base and the top of the rocket to be 5 degrees. How far is she from the base of the rocket?

A-2629feet
B-2639feet
C-20feet
D-231feet
And explain

Answers

Answer:

i think B

Step-by-step explanation:

Marcus has 25 baseball cards. Each card is worth a different amount of money. The cards also represent players from different teams in the MLB.3 There are two types of data that we can collect - numerical and categorical. 1 What is an example of numerical data that Marcus can collect about his baseball cards?2 What is an example of categorical data that Marcus can collect about his baseball cards?

Answers

1. You can find what the cheapest and most expensive card is.

2. You could find what percent of the people on your cards are brunettes.

You could also find what the average strikes for a team.

You're welcome

Someone please help! I dont understand

Answers

Answer:

i willl help on all three if u help on my chemistry problems


What is the volume please help me please

Answers

It may be 1296ft cubed

Answer:

1296

(Length x Width x Height)

6x18x12=

1296

I hope this helped! ♡+*

A bicycle is on sale at a 15% discount. The sale price is $680. What was the original price?

Answers

Answer:

$800 is the original price

Step-by-step explanation:

15% discount

if 85% = $680

100% =?

100/85 * $680

=$800

Answer:

800

Step-by-step explanation:

A 5-foot tall student stands 15 feet from a flagpole. The student

casts a shadow 6 feet long which ends at exactly the same point

as the shadow of the flagpole.

How many feet tall is the flagpole, to the nearest tenth of a foot?

Answers

Answer:

17.5 ft

Step-by-step explanation:

Draw a picture as shown in the attached image. From the image, you can see that a proportion can be set up comparing the height of the flagpole and student to their respective shadows. Once you set up the proportion, solve to get the height of the flagpole.

a rectangle has an area of 140. length is 4 feet longer than the width. I need to find the length and the width

Answers

Answer:

140=(w+4)×w

140=w²+4w

w²+4w-140

w=10

l=w+4

l=14

The incomes in a certain large population of college teachers have a normal distribution with a mean $75,000 and standard deviation $10,000. 16 teachers are selected at random from this population to serve on a committee. What is the probability that their average salary is more than $77,500?

Answers

Answer:

The probability that their average salary;

standard error

= 10,000/sqrt(16)

=10,000/4

= 2500  

(77,500 - 75000)/2500

2,500/2500

= 1  

p (z > 1) = .1587

So, the probability that their average salary is more than $77,500 is 0.1587

Step-by-step explanation:

Please help me with this
−3+5+6g=11−3g
-Aster

Answers

Answer:

g=1

Step-by-step explanation:

6g+3g=-3g+9+3g, add 3g to both sides and you get closer to the answer

Answer:

g=1

Step-by-step explanation:

solved and got the same answer

Write 10x 10x 10x 10x 10x 10x 10x 10 with an exponent. Explain how you decided what exponent to write. 10x 10x 10x 10x 10x 10x 10x 10= _____. Since _____ is used as a factor _____ times, the exponent is _____. Please help me!

Answers

Answer:10 to the power of 8

Step-by-step explanation:since 10 is used as a factor 8 times, the exponent is 10 to the power of 8.

(2z+2)(z^2+z–2) please help

Answers

Answer:

2z^3+4z^2-2z-4

Step-by-step explanation:

Distribute

2z^3+2z^2-4z+2z^2+2z-4

Simplify

2z^3+4z^2-2z-4

HELP TIMED IS THIS RIGHT?

Answers

Answer:16 is the answer of your question

hope it is helpful to you

How many liters are there in 6 gallons?

Answers

Answer:

6 gallons = 3.785 liters

Answer:

1.5850323141      

Step-by-step explanation:

Other Questions
Can somebody please help me with this question? NO LINKS PLEASE. How is socialism different from communism?Socialism uses a command economy, while communism encourages use of the free market.Socialism uses gradual means to achieve its goals, while communism uses revolution to immediately control a government.Socialism is based on the collective ownership of property, while communism is based on the private ownership of property.Socialism promotes a government run by a single individual, while communism is governed by representatives of the people.Brainiest, like, thank, and 10 points.Thank Luvs! PLEASE HELP ME!!!! In each diagram AB is tangent to C at B. Find the value of x. If f(x) = x is changed to g(x) = -f(x + 3) + 2, how is the graph transformed? Part B Practice regular past tense (preterite) conjugations of -ar, -er, and -ir verbs. Complete the following sentences using the correct conjugation of the verb given in the paranthesis. Type the correct answer in each box. Spell all words correctly. Ella ___ muchas pinturas. (pintar) Nosotros ___ en Mexico tres anos (vivir) Tu ___ en los Rstados Unidos? (nacer) Yo ___ in retrato de mi Petri. (pintar) Ellos ___ arte mug interesante (inventar) Frases de al menos 8 palabras que no tengan las letras A T P N POR FAVOR A waiter determines his salary for a week using the formula S = 3.75h + t, where S is his salary, h is the number of hours he works, and t is his total tips. How much does the waiter make if he works 30 hours in a week and makes a total of $538.75 in tips? r.a.t.e this car from 1/10 Find the area of the shaded region. 0.00000405 in scientific notation Which of the following statements is true?Earth's atmosphere helps it maintain a constant temperature.Condensation is the process by which water changes from a liquid into a gas.Plants do not perform respiration.Animals add water to the atmosphere through photosynthesis. Find the slope of the line Lisa can mow the lawn in 3 hours. If Rhianna helps her with another mower, the lawn can be mowed in 2 hours. How long would it take Rhianna if she worked alone? PLEAsE HELPPPP A garden in the shape of a trapezoid has an area of 44.4 square meters. One base is 4.3 meters and the other base is 10.5 meters long. The height of the trapezoid is the width of the garden. How wide is the garden PLSSSSSSSSSSS HELP OMGGGGGGGG Which statement best describes what bates work with the inmates helped reveal about the play Romeo and Juliet Y'all I have. Crush and we like each other but I feel like I don't deserve him........he so sweet and is so respectful he is christan which makes it all easier.....I don't know what to do he's so amazing I feel like I don't deserve him...... PLZ HELP!!!! You and your family are camping 50 miles from the nearest town. You have run out of water but are camping next to a stream. You do not know if the water is clean. You have brainstormed and come up with several ideas.Which idea would be best to get drinking water? Choose the two correct answers. A. Filter the water through a filter. B. Drink the water through a straw. C. Boil the water in a pot. D. Put the water in a glass container. E. Put the water in the sun for an hour. If the point M(2,2) is reflected over the y axis, what will be the coordinates of the resulting point, M? Which sentence is written in first-person point of view? Though work has sometimes been challenging, they have always enjoyed the field of robotics Though work has sometimes been challenging, you have always enjoyed the field of robotics. Though work has sometimes been challenging, he has always enjoyed the field of robotics Though work has sometimes been challenging, I have always enjoyed the field of robotics.