1.
Identify the minimum value of the function y = 3x^2 − 12x + 10.

A. −2

B. 10

C. 46

D. 2

Answers

Answer 1

Answer:

-2

Step-by-step explanation:

Answer 2

Answer:

A

Step-by-step explanation:

The minimum value is the y- coordinate of the vertex

Given a parabola in standard form

y = ax² + bx + c ( a ≠ 0 )

Then the x- coordinate of the vertex is

x = - [tex]\frac{b}{2a}[/tex]

y = 3x² - 12x + 10 ← is in standard form

with a = 3 and b = - 12 , then

x = - [tex]\frac{-12}{6}[/tex] = 2

Substitute x = 2 into the function for corresponding y- coordinate

y = 3(2)² - 12(2) + 10 = 3(4) - 24 + 10 = 12 - 24 + 10 = - 2

Then minimum value of the function is - 2


Related Questions

another word for collinear

Answers

Answer: words like straight, symmetrical, aligned.

5 The Young family is replacing their central air-conditioning with a high- efficiency unit that costs $11798. The family is offered a 48-month loan without interest. If the family is not able to pay back the full amount in 48 months, they will be charged 8% interest on the purchase amount. How much money in total will the young family pay if they take longer than 48 months? (Think: 48 months is 4 years.)​

Answers

Answer:

12742.84$

Step-by-step explanation:

11798 (the price) + 11796 x 0.08 (8% interest)=12742.84

Find the circumference and the area of a circle with diameter 6 yd.
Use the value 3.14 for T, and do not round your answers. Be sure to include the correct units in your answers.

Answers

Answer:

area = 28.27433

Circumference = 18.84956

Step-by-step explanation:

I hope that this helps!!

If the supplies on shelf A are normally $7 each and the supplies on shelf B are normally $6 each, how much will you save on each package plan from part a? Buying the first package will save $ and buying the second package will save $​

Answers

Pretty sure you’ll save 1 dollar for b and and lose one dollar for a

Write the word sentence as an inequality.

A number b
multiplied by −5
is at most −34
.

Answers

Answer:

-5b <= -34

Step-by-step explanation:

The inequality phrase, "at most" is same as "less than or equal to". So the algebraic inequality would be -5b <= -34. To solve for b, divide both sides by -5 and make sure to switch the inequality symbol to >= when dividing or multiplying inequalities by a negative number. So b >= 34 / 5.

The equation of line l is y=2/3x+5. The equation of line m is y=3/2x−1. What is the relationship between the two lines?

Answers

Answer:

If there is not a typo and you aren't missing a minus sign on the slopes, l and m are simmetrical relative to the line [tex]y=x+\frac{13}5[/tex]

If there is a typo nad one of the slopes is negative, they're perpendicular.

Step-by-step explanation:

The product of the slope is 1 -unless you forgot a minus sign somewhere.

In general, two lines of the form [tex]y=kx ; y= \frac1k x[/tex] are simmetrical relative to [tex]y=x[/tex]. Alas, the intercepts are different, but it's easy to spot by drawing them that they would be simmetrical to the parallel to [tex]y=x[/tex] passing through their intersection, by translation. Let's find that point

[tex]\frac23x +5 = \frac32x-1\\4x+30 =9x-6 \rightarrow 5x=36 \rightarrow x= \frac{36}5\\y=\frac 23(\frac{36}5)+5 = \frac{24}5 + \frac{25}5 = \frac{49}5[/tex] Their simmetry line - which is also their angular bisector! - is [tex]y=x+\frac{13}5[/tex]

A box of cereal states that there are 96 calories in a
3
4​-cup serving. What is the unit rate for calories per​ cup? How many calories are there in 3 cups of the​ cereal?

Answers

Answer: 96

Step-by-step explanation:

96/3 = 32 per cup  32 x 3 = 96

How to figure out the absolute value.

Answers

Answer:

absolute value is the same number just positive and cha never be negative.

Suppose that $1,000 is invested at an annual interest rate of 8%, compounded quarterly. Find the
the total amount in the account after 10 years if no withdrawals are made.

Answers

12416162526252662352662727272

What is Part 1 and Part 2? I think I have these correct.

Answers

Step-by-step explanation:

part 1. Alternate Exterior angle

part 2. 110°

HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE

Simplify the following.
can someone pls help 25+ Points And BRAINLIEST.
I know the answer so give step by step explanation.​

Answers

Answer:

(2f-17h)/24k

Step-by-step explanation:

We can make the common denominator for 3k and 8k in the form of 24k, so we get (multiply the first fraction by 8 and the second one by 3 to get 24k on each denominator) (8f-32h)/3k-(6f-15h)/24k. Now we can just subtract the numerators :

8f-32h-6f+15h (sign gets flipped on 6f and 15h), so we get

(2f-17h)/24k

Tyesha found that the z-statistic was 2. 1 and that the critical z-values were -1. 96 and 1. 96. Which of the following is a valid conclusion based on these results? One can reject the null hypothesis. One can reject the alternate hypothesis. One can accept the null hypothesis. One cannot accept or reject the null hypothesis.

Answers

The option that represents a valid conclusion based on the given results is;

One can reject the null hypothesis.

We are told that the z-statistic was 2.1.

We are also told that the critical z-values were -1.96 and 1.96.

We see that the z-value is greater than the critical z-values.

Now, in hypothesis testing, when the z-value is greater than the critical z-values, then we reject the null hypothesis.

In conclusion, we will reject the null hypothesis.

Read more about hypothesis testing at; https://brainly.com/question/15980493

BOWLING A bowling alley charges a flat fee to rent shoes. There is an additional fee for each game played. The function y=2.5x+3
represents the cost y of bowling x games. Interpret the parameters of the function.

Answers

The answer is x= -1.2

The cost of a cycle is ICRS $-3500. If the exchange rate of Indian currency is IC Re1= NC Rs 1.60, find the cost of cycle in Nepali Currency​

Answers

Answer: $35

Explanation: if you times it by -100 it should be $35

PLS HELP!!!!!!! I AM GIVING BRAINLIEST!!!!!

Select the correct images.
Select the parent function and its graph.

Answers

Answer:

The answer in image one is f(x)=2x     Left

The answer in image two is f(x)=x       Center

the answer in image three where right       Right

Answer:

The answer is f(x) = x. Its the second graph.

Step-by-step explanation:

please help me out for a brainlist

Answers

Answer:

22.50

Step-by-step explanation:

2.50x6=15+7.50=22.50

Answer:

$22.50

Step-by-step explanation:

well we know we have 7.50 in the beginning then we add 2.50 x 6 to make the equation 7.50+ ( 2.50 X 6) which equals 22.50

The triangle and the rectangle below have the same area.
6 cm
wcm
6 cm
5cm
Calculate the value of w.
Show your working.

I thought it was 10 as triangle do base x height divided by 2

Answers

Answer:

look at the photo...........................

What is the solution to the system of equations?
y = 2x + 3
y = -x +8

Answers

Answer:

x= 5/3

Step-by-step explanation:

You would set the equations equal to each other, so 2x + 3 = -x + 8. Then, you would add the x to the 2x making it 3x. That makes your equation 3x + 3 = 8. Then you subtract the 3 making the equation 3x = 5 and then you would divide the 3 making your answer 5/3.


Can someone please solve question 8

Answers

I’m unsure if this is it: 22.4.3592 is there options?

Answer:

22.84

Step-by-step explanation:

Katie's favorite deli has a salad bar where she can make her own salad. She has to pay $1 for the container and $3 per pound for the salad.
Write an equation that shows how the total cost, y, depends on weight of the salad in pounds, x.
Do not include dollar signs in the equation

Answers

Answer:

y = 3x + 1

Step-by-step explanation:

Answer: y = 3x + 1

Step-by-step explanation:

Following the y = mx + b theory, we can find the equation (see attached image) by plugging in two points of the hypothetical graph.

For one pound of salad, Katie will pay $4 ($3 for the salad, $1 for the container). Thus, the first point will be (1,4). For two pounds, Katie will pay $7. Thus, the second point will be (2,7).

Knowing that m (slope) = [tex]\frac{y_{2}-y_{1}}{x_{2}-{x_1}}[/tex], we can get the equation m = [tex]\frac{7-4}{2-1}[/tex], thus telling us that m = [tex]\frac{3}{1}[/tex], or 3. Plug in 3 for m, and you get y = 3x + b.

To solve for b, lets' use the second point (2,7). Plug in the coordinates and you get 7 = 3(2) + b, or 7 = 6 + b. Subtract 6 from both sides and you get b = 1.

Plug in 1 for b and you end up with y = 3x + 1

im literally on my last braincell please help omg

an arithmetic sequence is given
-18, -13, -8, -3...
write an explicit formula for the nth term

Answers

Answer:

its going up by 5 every time

Step-by-step explanation:i think that would help i dont know if it was obvious

There are 600 performers in a dance recital. The ratio of men to women is 4:6 many men performers were in the dance recital?

Answers

Answer:

240

Step-by-step explanation:

From the question, we are informed that there were 600 performers in a dance recital and that the ratio of men to women is 4:6.

Fraction of men at the recital = 4/10

Fraction of women at the recital = 6/10

The number of men performers that were in the dance recital will be:

= 4/10 × 600

= 240 men

Answer: 240 men

Step-by-step explanation:

From the question, we are informed that there were 600 performers in a dance recital and that the ratio of men to women is 4:6.

Fraction of men at the recital = 4/10

Fraction of women at the recital = 6/10

The number of men performers that were in the dance recital will be:

= 4/10 × 600

= 240 men

Hope it helps

Maribel will borrow $6250 at 13.5% APR. She chooses to pay it back in 2 years.

What will her monthly payment be? Use the table.

Use the rate table to figure out the monthly payments per one hundred dollars.

Answers

At a rate of 13.5% the interest per $100 is $ 4.778 per month.

Therefore, for two years the payment will be

$4.778 × 24 = $114.672 per $ 100

Therefore, the interest for a principal $6250 for two years;

(6250/100) × 114.672

= $7167

The monthly payment would therefore be

7167/24

= $298.625

≈$298.63

Angie and her friends are heading to the Glacier Heights snow park. They plan to purchase the Glacier group package, which costs $76 for 8 people. That's $2 less per person than the normal cost for an individual. What is the normal cost for an individual?

Answers

Answer

The normal cost would be $11.50

Number Explanation

1) 76 ÷ 8 = 9.5

2) 9.5 + 2 = 11.5 or 11.50

Word Explanation

First, I divided the total cost 76 by the number of people 8, to find out how much it costs per person. I got 9.5! Next, I added 2 to 9.5 because in the problem it said this is $2 less than the normal cost per person. I got 11.5! That was my answer.

Jayla made 36 sugar cookies for the class party. Before you got to class the teachers ate 9 cookies, and then your classmates ate 1/3 of the remaining cookies. How many cookies are left for you to eat?

Answers

Answer:

9 cookies are left

Step-by-step explanation:

36 - 9 = 27

27 · 1/3 = 9

Kylie went into a grocery store and bought 5 apples and 4 bananas, costing a total of $10.50. Lily went into the same grocery store and bought 10 apples and 5 bananas, costing a total of $16.50. Determine the price of each apple (x) and the price of each banana (y). Remember, write it as money, with the whole and the decimal to the hundredths place!

Answers

Answer:

Apples $0.90 / Bananas $1.50

Step-by-step explanation:

So The equations would look like this

5x + 4y = 10.5

10x + 5y = 16.5

Solving for x, we get 2.1 - 4/5y

Substitute x

10(2.1 -4/5y) +5y = 16.5

Solving for y, we get 3/2 or 1.5

Substitute y

x = 2.1 -4/5(3/2)

x = 9/10

Now check the equations with the answers

5(9/10) + 4(3/2) = 10.5  ->  21/2 = 21/2

10(9/10) + 5(3/2) = 16.5  ->  33/2 = 33/2

Which means apples cost $0.90 and bananas cost $1.50

Jin schedules 496 hours for a project. He plans to work 8 hours each day. How many days will it take to complete the project?​

Answers

Answer:

62 days

Step-by-step explanation:

496/8 = 62

496/8=62

Hope this helps!

PLEASSEE HELP:Dits for khan
What is the constant of proportionality in the equation
y
=
1
2
x
y=
2
1

xy, equals, start fraction, 1, divided by, 2, end fraction, x?

Answers

The constant of proportionality in the equation  y=1/2x

is 1/2

The direct proportionality between x and y is established by :

y α x

α = proportionality symbol

y = kx - - - (1)

Where;

y and x are the variables

k = proportionality constant

Comparing (1) with the equation given : y=1/2x    y=kx

The value of k aligns with 1/2 in the given equation.

Therefore, the constant of proportionality, k in the equation is 1/2

Answer:

yo yo yo! here to help :) answer is 1/2

Solve:

2/5 + 4/10 = ?

BRAINLIEST AND POINTS IF U ANSWER GOOD PLS ANSWERR

A 6/10

B 6/15

C 2/15

D 8/10

Answers

Answer:

Option D is correct.

Step-by-step explanation:

2/5 + 4/10

=> 2/5 + 2/5

=> 4/5

4/5 = 8/10

Therefore, Option D is correct.

Hoped this helped.

Solve (x – 3)2 = 49. Select the values of x. –46 -4 10 52

Answers

Answer: x = 55/2

Step-by-step explanation: (x)(2) (-3)(2) = 49                                                       2x-6+6 = 49+6                                                                                                               2x/2 = 55/2                                                                                                                   x = 55/2

I know that my answer isn't a choice for one of the values of x but that's the result that I got when I solved (x–3)2 = 49.

Other Questions
solve pls brainliest What new weather would you like to invent? Consider the functions f(x) and g(x). The function f(x)=2x-5 and g(x)= -f(x+1)+3. Describe the three transformations that are performed on f(x) to create g(x).A. 1.2.3.B. Sketch a graph of g(x): A rubber ball is dropped from a height of 5 feet and bounces to 1/3 of its height after each fall. If it continues to bounce until it comes to rest, find the total distance in feet it travels. Read this excerpt from a passage. Social media is a tool, and like any other tool it can be used properly or misused. Here are a few questions to ask yourself to see if you could be in danger of letting social media control you. Are you afraid to stop checking your social networking sites because you might miss out on something amazing? Do you find yourself planning your next social media post before you have even done something worth posting? Are you competitive or insecure about how many "likes" you get on your posts? Do you stay up late into the night scrolling through your news feedseven causing you to miss sleep? If after answering yes to several of these you feel that you might have a social media addiction, there are ways to break free from it.What is the intended purpose of this section of the passage?To highlight the negative effects of social media habit.To inform the reader of the ways to break free from a social media addiction.To make the reader feel guilty about using social media.To help the reader discover if he or she has a social media addiction. PLEASE HELPPP28. Look at the Illustration of Marie above, Compose a complete sentence inFrench indicating that Marie is wearing a skirt and a blouse. Use the verb mettre.no There are many isotopes of the element technetium (TC).What do the nuclei of different technetium isotopes have in common?[ 12.) Samuel is 30.75 inches tall. His younger brother, Spencer, is 6 inches shorter. How tall is Spencer? I want heeeeeellppppppp....Please give me the answers!! What can you infer about Capulet from the following line? (5 points)CAPULETHa! let me see her: out, alas! she's cold:Her blood is settled, and her joints are stiff;Life and these lips have long been separated:Death lies on her like an untimely frostUpon the sweetest flower of all the field.He feels angry with Lady Capulet for arguing with Juliet.He is most irritated that there will be no wedding.He does not care that his daughter has just passed away.He has checked closely to see that his daughter is dead. the triangles are similar, Write a similarity statement for the triangles PLZ HELP Which words from the passage help to create a dark or grim tone? who wrote the screenplay for sense and sensibility What are the similarities and differences between living on Earth versus living in space? find 5 points for each section Have you seen an example of pathos used in social media advertising? How did it use pathos to persuade the audience? Explain in full sentences. Write the corresponding future form (ir a + infinitive) for the verbs in parenthesis. Mi to (caminar) por el parque maana.Yo (hablar) con mi madre esta tarde.Juan, Luz y yo (comprar) los libros para la clase de espaol.T (preparar) el desayuno maana.Luis y Mara (estudiar) en la bibliotecaVosotros (esperar) en la cafetera.Yo no (discutir) contigo!Ellos (viajar) a Panam.El juego de basquetbol (ser) por la noche.Qu (hacer) usted maana? what does John dewey say about learning experince The ____ is the fleshy side part if the face A. Cheek B. Chin C. Jaw pocket folders are $0.39 each at the store. If Carolyn paid $7.02, how many did she buy? I need help? I think I know the answer but I don't want to get it wrong so can someone plz help me figure this out? Plzz and thxs :)