Find the vertex of the parabola.
y = 3 x squared minus 30 x + 77


a.
( -2, -5)
c.
( 5, 2)
b.
( -5, -2)
d.
( 2, 5)

Answers

Answer 1
Correct Answer: (5,2)

Related Questions

Pllssss I need help

Answers

Answer:

  see below

Step-by-step explanation:

The sides of the triangle that are given in relation to x are the Adjacent side (10) and the Hypotenuse (15). The mnemonic SOH CAH TOA tells you the trig function that uses sides A and H is the Cosine function.

  Cos = Adjacent/Hypotenuse

  cos(x) = 10/15

Solve 5(x − 8) = 50.

Answers

Answer:

x = 18

Step-by-step explanation:

5(x - 8) = 50

Divide both sides by 5.

x - 8 = 10

Add 8 to both sides.

x = 18

Answer:

x=18

Step-by-step explanation:

5(x − 8) = 50.

5x-40=50

+40              +40

5x/5=90/5

x=18


The initial freshman class at a college is 10% smaller 1
than last year's class. But then during the first week of classes, 20 more
students enroll. If there were 950 students in last year's freshman class,
how many students are enrolled in this year's freshman class after the first
week of classes? *​

Answers

Answer:

875 students are enrolled in this year's freshman class after the first week of classes.

Step-by-step explanation:

Last year, there were 950 students.

This year, the class is 10% smaller. So it's number of students is 100 - 10 = 90% of last year.

0.9*950 = 855

Initially, this year class had 855 students.

During the first week, 20 enrolled.

855 + 20 = 875.

So

875 students are enrolled in this year's freshman class after the first week of classes.

Riley is saving up to buy a new television. She needs a total of $1,397.68. Riley has saved $200.08 already and earns $79.84 per week at her job. How many weeks does Riley need to work to save enough money to buy the new television?

Answers

Riley is saving up to buy a new television. She needs a total of $1,303.99. Riley has saved $200.79 already and earns $78.80 per week at her job. How many weeks
1303.99 = 200.79 + 78.80(x)
1103.20 = 78.80(x)
x = 14 weeks

Answer:

14

Step-by-step explanation:

i uses a calculator and kept adding up

What is the length of line segment KJ?


2 \sqrt{3} units

3 \sqrt{2} units

3 \sqrt{3} units

3 \sqrt{5} units

Answers

Please consider the attached file.

We can see that triangle JKM is a right triangle, with right angle at M. Segment KM is 6 units and segment MJ is 3 units. We can also see that KJ is hypotenuse of right triangle.

We will use Pythagoras theorem to solve for KJ as:

[tex]KJ^2=KM^2+MJ^2[/tex]

[tex]KJ^2=6^2+3^2[/tex]

[tex]KJ^2=36+9[/tex]

[tex]KJ^2=45[/tex]

Now we will take positive square root on both sides:

[tex]\sqrt{KJ^2}=\sqrt{45}[/tex]

[tex]KJ=\sqrt{9\cdot 5}[/tex]

[tex]KJ=3\sqrt{5}[/tex]

Therefore, the length of line segment KJ is [tex]3\sqrt{5}[/tex] and option D is the correct choice.

Answer:

3√5

Step-by-step explanation:

what is the length of line segment kJ

PLS HELP!! AND HURRY!! Find an expression for the nth term ( tn ) in each of the following sequences:
1, 4, 7, ...

Answers

If the pattern continues, so that each term is separated by a distance of 3, then the sequence is given by the recursive rule

[tex]\begin{cases}a_1=1\\a_n=a_{n-1}+3&\text{for }n>1\end{cases}[/tex]

From this definition, we can write [tex]a_n[/tex] in terms of [tex]a_1[/tex]:

[tex]a_2=a_1+3[/tex]

[tex]a_3=a_2+3=(a_1+3)+3=a_1+2\cdot3[/tex]

[tex]a_4=a_3+3=(a_1+2\cdot3)+3=a_1+3\cdot3[/tex]

[tex]a_5=a_4+3=(a_1+3\cdot3)+3=a_1+4\cdot3[/tex]

and so on, up to

[tex]a_n=a_1+(n-1)\cdot3[/tex]

(notice how the subscript on a and coefficient on 3 add up to n)

or

[tex]a_n=1+3(n-1)=3n-2[/tex]

Answer:

n=1/2 of n x 8 divided by 4 -2

Step-by-step explanation:

Two cars leave towns 1000 kilometers apart at the same time and travel toward each other. One car's rate is 20 kilometers per hour less than the other's. If they meet in 5 hours, what is the rate of the slower car?

Answers

Answer:

90 km/hr

Step-by-step explanation:

If x is the speed of the slower car, and x+20 is the speed of the faster car, then:

5x + 5(x+20) = 1000

x + x + 20 = 200

2x + 20 = 200

x + 10 = 100

x = 90

Give brianliest and 15 points

Answers

Answer:

The correct answer is C

Step-by-step explanation:

X+U= [-1,  -1] on the top and [0, -23/4] on the bottom

Therefore A-(X+U) gives you [5/3, 7] on the top and [4, 5] on the bottom

Hope this helps! :)

Answer:

Danke Shun!!!!!

Step-by-step explanation:

Oh mein Gott, danke für die kostenlosen Punkte, Kumpel !!

Based on data from the 1980 Census the average age of a Na'alehu County, Hawaii resident is 39 years with a standard deviation of 22. 6. The data is normally distributed. If 100 residents are surveyed, Determine the Inter Quartile range (IQR) for the average age of the residents of this County. Please explain how you derived your answer:

Answers

Answer:

yes

Step-by-step explanation:

Point A is at (-1, -9) and point M is at (0.5, -2.5).
Point M is the midpoint of point and point B.
What are the coordinates of point B?

Answers

I think the coordinates are (2, 4)

Answer:2,4

Step-by-step explanation:

What is the quotient of the division below?
3387-
45
46
48
49

Answers

Answer:

3199

Step-by-step explanation:

3387 – 45 – 46 – 48 – 49 = 3199

Answer:

It is 48

Step-by-step explanation:

trust me I did the test.

what is the correlation coefficient of the linear fit of the data shown below, to the nearest hundreth

Answers

Answer:

theres no picture.

Step-by-step explanation:

Answer:

C) -0.89 i think

Step-by-step explanation:

what is the volume of a cone with a diameter of 30 feet and a hight of 60 feet​

Answers

Answer:

4500[tex]\pi[/tex] [tex]ft^{3}[/tex]or 4712.39[tex]ft^{3}[/tex]

What we need to know: The formula for the volume of a cone is: [tex]V=\pi r^{2} \frac{h}{3}[/tex]

So we are solving for V

Step-by-step explanation:

1) Radius is half of diameter r=30/2 thus, your radius is 15

2) you then have all your variables so you can start plugging values into your equation:

r=15 h=60

[tex]V=\pi 15^{2} \frac{60}{3} \\V=\pi (225)*(20)\\V=\pi(4500) \\V= 4500\pi[/tex]

This would be your exact answer but if you are solving for a rounded answer it would be

V~4712.39[tex]ft^{3}[/tex]

A Forrest has 800 pine trees but a disease is introduce that kills 1/4 of the pine trees in the forest every year.

Write a function that gives the number of pine trees remaining P(t) in the Forest t years after the disease is introduced

Answers

Answer:

If there are 800 trees and 1/4 of them die to this disease.

Step-by-step explanation:

800=400x2=800/2=400 so 100/400 die so 200/800 die so in 4 years time the whole population will die.

Answer:

P(t)=800(3/4)^t

Step-by-step explanation:

6 more than a number is 36.

Answers

Answer:

30

Step-by-step explanation:

30+6= 36

36-6=30

Lets use n to represent the number.

6 more than a number: n + 6

is 36: = 36

Put the equation together:

n + 6 = 36

Solve for n.

n + 6 = 36

~Subtract 6 to both sides

n + 6 - 6 = 36 - 6

~Simplify

n = 30

Best of Luck!

The coach of a college basketball team records the resting pulse rates of the team's players. A confidence interval for the mean resting pulse rate of all collegians based on these data is of little use because __________.
A) the sample size is small, so the margin of error will be large.
B) the members of the basketball team can't be considered a random sample from the entire collegiate population.
C) many of the students on the team may refuse to respond.
D) the coach has sampled the entire population so there is no need for inference.

Answers

Answer:

B) the members of the basketball team can't be considered a random sample from the entire collegiate population.

Step-by-step explanation:

The coach is trying to estimate a parameter of a population (the mean resting pulse rates of alla collegians) from a sample statistic (the mean resting pulse of the basketball team's players).

The confidence interval for the parameter is of little use as the sample of team players is not representative of the population of collegians. The sample can not be considered random. Then, the estimation of the parameter will be biased.

90 is 50% of what number? 180 120 45

Answers

So the right answer is 180

Look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

50%=0.5

Y x 0.5 = 90

We undo the equation and divide instead of multiply

90 / 0.5 = 180

Double check by changing Y with 180

180 x 0.5 = 90

180 is the answer

Hope this helps

Step-by-step explanation:

Fill in the boxes. 300 000 cm =____ m=____km

Answers

Answer:3000m and 3km

Step-by-step explanation:

To convert from cm to m,divide by 100 and from m to km,divide by 1000

The graph shows the relationship between the number of concert tickets
purchased and the total cost for the tickets. Write an equation for this
relationship.

Answers

Answer:

Step-by-step explanation:

y = 20x

what is the mean absolute deviation of 10, 5, 7, 10, 19, 32, 25?​

Answers

Answer:

8.4897959183673

Step-by-step explanation:

Which expression can be used to find the surface area of the following rectangular prism?


Choose 1 answer:


A

10+10+6+6


(Choice B)

B

10+6


(Choice C)

C

15+15+10+10+6


(Choice D)

D

15+15+10+10+6+6

Answers

Answer:

The answer is D.

Step-by-step explanation:

Given that the formula of surface area of rectangular prism is S.A = 2(length×width) + 2(length×height) + 2(width×height). Then substitute the values into the formula :

Let length = 5,

Let width = 3,

Let height = 2,

[tex]s.a = 2(5 \times 3) + 2(5 \times 2) + 2(3 \times 2)[/tex]

[tex]s.a = 2(15) + 2(10) + 2(6)[/tex]

[tex]s.a = 15 + 15 + 10 + 10 + 6 + 6[/tex]

Answer:

The answer is D

Step-by-step explanation:

what symbol makes this comparison true? 200 mL O 2 L <>​

Answers

Answer:

For the first case converting ml to L we got:

[tex] 200mL *\frac{1L}{1000 mL}= 0.2 L[/tex]

And we see that 0.2 L is lower than 2 L so then:

[tex] 200 mL < 2L[/tex]

And in the other way if we convert L to mL we got:

[tex] 2L *\frac{1000mL}{1L} = 2000 mL[/tex]

And we see that [/tex] 200mL < 2000 mL[/tex]

So then the answer would be <

Step-by-step explanation:

For this case we can solve this problem converting ml to L or converting L to ml.

For the first case converting ml to L we got:

[tex] 200mL *\frac{1L}{1000 mL}= 0.2 L[/tex]

And we see that 0.2 L is lower than 2 L so then:

[tex] 200 mL < 2L[/tex]

And in the other way if we convert L to mL we got:

[tex] 2L *\frac{1000mL}{1L} = 2000 mL[/tex]

And we see that [/tex] 200mL < 2000 mL[/tex]

So then the answer would be <

Please help with number four I give brainliest thank you!

Answers

Answer:

Step-by-step explanation:

A

Answer:

D.

Step-by-step explanation:

A statistical question can answered by collecting data and having various answers. The other options refer to a specific person/thing and give only one piece of data while the last option refers to many teachers and many pieces of data.

Hope this helps!!! PLZ MARK BRAINLIEST!!!

What is equalivant to 5+4z+13

Answers

Answer:

[tex] = 4z + 18[/tex]

Step-by-step explanation:

[tex]5 + 4z + 13 \\ = 4z + 18[/tex]

find an equation equivalent to r = 10 sin in rectangular coordinates

Answers

Answer:

x²+(y-5)²=25

Step-by-step explanation:

To convert polar into rectagular

[tex]->r=\sqrt{x^2+y^2} =>r^2=x^2+y^2\\[/tex]

also, y=rsin θ => sin θ=y/r

r= 10sinθ

r=[tex]\frac{10y}{r}[/tex] => r²=10y

therefore, x²+y²-10y=0

By completing the squares on y²-10y gives

x²+(y-5)²=25

which is the equation of the circle.

This is the Cartesian equation of a circle with center  ( 0, 5)    

and radius,  r=5  

what is the quotinent

Answers

Answer:

[tex]\dfrac{3(y-5)}{2}[/tex]

Step-by-step explanation:

[tex]\dfrac{2y^2-6y-20}{4y+12}\div \dfrac{y^2+5y+6}{3y^2+18y+27}=\\\\\dfrac{2(y-5)(y+2)}{4(y+3)}\cdot \dfrac{3(y+3)^2}{(y+3)(y+2)}=\\\\\dfrac{6(y-5)(y+2)(y+3)(y+3)}{4(y+2)(y+3)(y+3)}=\\\\\dfrac{3(y-5)}{2}[/tex]

Hope this helps!

What’s the correct answer for this?

Answers

Answer:

C. y=1/2 x + 5

Step-by-step explanation:

In the attached file


3. If a ladder is x feet long, how high up a wall can it safely reach?

Answers

Answer:

xsin∅

Step-by-step explanation:

If the ladder is x foot long, and it can safely make a maximum angle ∅  with the floor, then, the maximum height it can reach will be xsin∅

Answer:

Following the 4 to 1 ratio ladder rule

Step-by-step explanation:

set the base 1 foot out from the wall for every 4 feet it reaches up.

Mr.McNeil bought two magazines for 7.45 and one book for 14.95. If the sales tax is 6% , what is the total cost of Mr.McNeil’s purchase?

Answers

Answer:

total cost = $22.4 + $1.12 = $23.52

Step-by-step explanation:

Mr McNeil bought 2 magazines for $7.45 and 1 book for $14.95 . The sales tax is 6% . The total cost of Mr McNeil can be calculated as follows.

He bought 2 magazines for $7.45  .This means the sum of the prize of the 2 magazine he bought is $7.45 and the prize for the single book he bought is $14.95.  The total cost of the items he bought excluding the sales tax is the sum of the whole items he bought.

total cost excluding sales tax = $7.45 + 14.95 = $22.4

The sales tax is 5% which can be calculated as follows

5/100 × 22.4 = 112/100 = $1.12

The total cost of Mr McNeil purchase including his sales tax is

total cost = $22.4 + $1.12 = $23.52

The Tennessean, an online newspaper located in Nashville, Tennessee, conducts a daily poll to obtain reader opinions on a variety of current issues. In a recent poll, 762 readers responded to the following question:
"If a constitutional amendment to ban a state income tax is placed on the ballot in Tennessee, would you want it to pass?" Possible responses were Yes, No, or Not Sure. Determine:
a. What was the sample size for this poll?
b. Are the data categorical or quantitative?
c. Would it make more sense to use averages or percentages as a summary of the data for this question?
d. Of the respondents, 67% said Yes, they would want it to pass. How many individuals provided this response?

Answers

Answer:

(a) The sample size for this poll is, n = 762.

(b) The data is categorical.

(c) It would make more sense to use percentages as a summary of the data for this question.

(d) Approximately 511 individuals provided the response "Yes".

Step-by-step explanation:

(a)

It is provided that in a recent poll, 762 readers responded to the following question:

"If a constitutional amendment to ban a state income tax is placed on the ballot in Tennessee, would you want it to pass?"

The possible responses were Yes, No, or Not Sure.

So, the sample size for this poll is, n = 762.

(b)

The outcomes of the poll are:

1: Yes

2: No

3: Not Sure

The data is categorical.

Categorical data can take labels such as, Gender (M/F), indicators (0/1) and so on.

(c)

Averages can be computed only for quantitative variable.

So, it would make more sense to use percentages as a summary of the data for this question.

That is, the percentage of people saying Yes, No and Not sure.

(d)

The percentage of people saying Yes is, 67%.

Compute the number of people saying Yes as follows:

[tex]n(\text{Yes})=P(\text{Yes})\times n[/tex]

         [tex]=0.67\times 762\\=510.54\\\approx 511[/tex]

Thus, approximately 511 individuals provided the response "Yes".

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