f(x) = x^2 + 4x-12
(a) What are the x-intercepts?
(b) What is the y-intercept?
(c) What is the maximum or minimum value?

Answers

Answer 1

Answer:

a) x-intercepts at -6 and 2

b) y-intercept at -12

c) minimum at (-2, -16)

Step-by-step explanation:


Related Questions

Does any one know the answer to this thank you

Answers

Answer:

The First choice

Step-by-step explanation:

A yogurt company claims that it prints a free yogurt coupon under a randomly selected 20% of its lids. A loyal customer purchases 85 yogurt cups, and records whether each was a winner. After consuming all 85 cups, he is disappointed to see that only 12 (14.1%) of his yogurt cups contained coupon codes. He performs a 99% confidence interval for the proportion of yogurt cups containing coupon codes, obtaining (0.044, 0.238). What conclusion can the customer draw about the yogurt company’s claim?

Answers

Answer:

The customer can conclude that the company's claim is correct

Step-by-step explanation:

The percentage of lids that has a free yogurt coupon = 20%

The number of cups a loyal customer purchases = 85 yogurt cups

The number of cups that contained a coupon = 12 (14.1%)

The confidence interval performed = 99% confidence interval for the proportion of yogurt cups containing coupon codes

The interval obtained = (0.044, 0.238)

Therefore, the range of proportion within which the true proportion exists is 0.044 < [tex]\hat p[/tex] < 0.238

The range of percentage within which the true percentage exist is therefore;

0.044 × 100 = 4.4%  < [tex]\hat p[/tex] × 100 < 0.238 × 100 = 23.8%

Given that the possible true percentage of lids that has a coupon is between 4.4% and 23.8% at 99% confidence level, the customer can conclude that only 12 of his yogurt cup contained coupon by chance and that the company's claim is correct.

Answer:

A, the company’s claim may be justified because 0.2 is in the confidence interval.

Step-by-step explanation:

A science quiz has eight multiple choice questions with five choices for each. Find the total number of ways to answer the questions

Answers

Answer: 390625

The quiz has 5 choices for each question, so there are 5 ^ 8   ways to answer the quiz questions.

In other words, you can calculate the possible numbers of answers = 5x5x5x5x5x5x5x5 = 390625

what is the equation of the line that passes through the point (-6,-6) and has a slope of 2/3?

Answers

Answer:

-6=2/3*-6

Step-by-step explanation:

y=mx+b

slope = m b=y intercept

Plz help I’ll mark brainliest:$

Answers

(1) x = -2 y = -8

(2) x = -1 y = -4

(3) x = 0 y = 0

(4) x = 1 y = 4

(5) x = 2 y = 8

Those are the answers for what y is so now i think you have to plug it in to the right side of the chart

______________________________________________________________

multiply
12 times 1/3?

Answers

Answer:

4

Step-by-step explanation:

12(1/3)

so it is just 12/3 which is 4

Hope that helps :)

4
12 / 3 = 4
1.333 x 12 = 4

Solve for X triangle. ​

Answers

Answer:

x= 12.942

Law of sines :)

if 7 is 100 % how much is 2 in %

Answers

28.571429% that is 2

hope this helped

Answer:

50% Is the answer

F(X)= 6Xt3
F(7)= what does it mean

Answers

If you are trying to figure out what F(7) means then it just means that you are supposed to trade the “x” in the equation above it for “7”

Ben wants to buy a new car stereo and he has already saved some money. He used this inequality to represent the amount he still has to save to be able to buy the stereo, where a represents the amount still left to save.


a + 212 greater-than-or-equal-to 365


If Ben saves $15 a week for the next 10 weeks, will he be able to buy the stereo and why?

Answers

Answer:

Since Ben would have $362, he won't be able to buy the stereo as he needs to have an amount greater than or equal to 365.

Step-by-step explanation:

First, you need to determine the amount that Ben would have after saving $15 for the next 10 weeks:

$15*10=$150

Now, the inequality indicates that the amount left to save plus 212 should be greater than or equal to 365, so you have to add up 212 plus the amount Ben will save in the next 10 weeks to be able to determine if he would be able to buy the stereo:

150+$212=$362

Since Ben would have $362, he won't be able to buy the stereo as he needs to have an amount greater than or equal to 365.

PLEASE SHOW YOUR WORK!!! WILL MARK BRAINLIEST!!!
On a youth soccer team 3 out of 12 team members have played in previous years. Based on this information, if 180 kids are in the youth soccer league, then how many could be expected to have played the year before?

Answers

Answer:

45

Step-by-step explanation:

3 out of 12 is 1/4, or 0.25, so if you divide 180 by 4, then using the same logic, you can expect 45 kids to have played last year.

3 = 1/4 OR .25 of 12, 12 divided by 4 = 3

180 divided by 4 = 45

Answer:

yes its 45 i did the test and i got an 100

Step-by-step explanation:

heres proof

PLEASE MARK BRAINLIEST!!!!!!

find the value of a and b. ​

Answers

Answer:

2a°+2a°=180°[opposite angle of cyclic quadrilateralis 180°]

4a°=180

a=180°/4

a=45°

4b+2b=180°[similarly]

6b=180°

b=180°/6

b=30

It's been found that there is a 15% chance (3 out of 20) that you can
win a particular game. How many "wins” would you have if you
played 80 times?

Answers

Heyy ummm im tired I’ll answer this later

HELPPPP
What is the name of the figure?

Answers

Im assuming a hexagon pyramid/cone???

Bc when you look at a square triangle its only called that becoause of its base??

Answer:

it's hexagon cone

someone said that so yeah

A person places $4630 in an investment account earning an annual rate of 5.7%,
compounded continuously. Using the formula V = Pert, where Vis the value of the
account in t years, P is the principal initially invested, e is the base of a natural
logarithm, and r is the rate of interest, determine the amount of money, to the nearest
cent, in the account after 9 years.

Answers

Answer:

75.935

Step-by-step explanation:

If V = Pe^rt and we are given P (the principle investment) =4630 ,

a rate of 5.7 % which as a decimal = 0.057 (% divided by 100 = decimal)

we can substitute this information in and get V=4630 e^(.057t).

then it says what will it be in 9 years? so we put 9 in for "t" and get

v = 4630 e^(0.057 * 9) simplify using a calculator and we will get our answer.

Find the axis of symmetry and the vertex of the graph (Desmos)

Answers

Answer:

The axis of symmetry is x=3, the vertex of the graph is (3,-2)

Step-by-step explanation:

[tex]f(x)=(x^{2} -6x+9)-9+7[/tex]

[tex]=(x-3)^{2} -2[/tex]

The dot plots below show the test scores of some mathematics students and some science students:

Based on visual inspection of the dot plots, which group of students appears to have the larger average score?

The mathematics students
The science students
Both groups are similar.
Not enough information is available to draw a conclusion.

Answers

Answer:

Science students

Step-by-step explanation:

Jo records the number of text messages she receives each day she uses this information to draw this bar chart write 3 mistakes she has made

Answers

Answer:

X axis labels aren't evenly spaces

Y axis has no origin

Missing label

Step-by-step explanation:

Scale of a graph is important when displaying numerical data on a plot.

Based on the bar chart given, it could be seen that the x axis which is labeled days of the week is not adequately spaced. Data on both axis should he a recognizable.

2.)

Taking a look at the graph, it has no origin, the numbering of the vertical axis, number of text messages should start from 0

3.) Also, the x and y axis aren't labeled Hence charts should be well labeled to include x - axis and y-axis.

Answer:

X axis labels aren't evenly spaces

Missing label

there us no scale written starting at 0

Step-by-step explanation:

this will give u 3/3

Mhanifa please help im almost done :)

Answers

Answer:

19)

9/4 = (r - 10)/r9r = 4(r - 10)9r = 4r - 405r = -40r = -8

20)

(x + 6)/x = 10/710x = 7(x + 6)10x = 7x + 423x = 42x = 14

21)

(n - 9)/(n + 5) = 7/47(n + 5) = 4(n - 9)7n + 35 = 4n - 363n = -71n = -71/3

22)

6/(b + 9) = 4/(b + 5)6(b + 5) = 4(b + 9)6b + 30 = 4b + 362b = 6b = 3

23)

8/3 = (v - 9)/(7v + 4)8(7v + 4) = 3(v - 9)56v + 32 = 3v - 2753v = - 59v = -59/53

24)

8/(5x - 4) = 6/(x + 5)8(x + 5) = 6(5x - 4)8x + 40 = 30x - 2422x = 64x = 64/22x = 32/11

Let c represent how much it costs for one person to go to a baseball game. How can we represent the total cost for 6 people to go to the game? A. 6c B. c – 6 C. D. c + 6

Answers

Answer:

6c for the total

Find all the missing elements
Round to the nearest tenth.

Answers

Answer:

B = 48.7°

C = 61.3°

b = 12

Step-by-step explanation:

Given:

A = 70°

a = 15

c = 14

Required:

B, C, and b

Solution:

✔️Using the law of sines, let's find C:

Sin C/c = Sin A/a

Plug in the values

Sin C/14 = Sin 70/15

Cross multiply

Sin C × 15 = Sin 70 × 14

Divide both sides by 15

Sin C = (Sin 70 × 14)/15

Sin C = 0.8770

C = Sin^{-1}(0.8770)

C = 61.282566° = 61.3° (nearest tenth)

✔️Find B:

B = 180 - (70 + 61.3) (sum of triangle)

B = 48.7°

✔️Find b using the law of sines:

b/sinB = a/sinA

Plug in the values

b/sin 48.7 = 15/sin 70

Cross multiply

b*sin 70 = 15*sin 48.7

Divide both sides by sin 48.7

b = (15*sin 48.7)/sin 70

b = 11.9921789

b = 12.0 (nearest tenth)

The side of a square has the length (x-2), while a rectangle has a length of (x-3) and a width of (x+4). If the area of the rectangle is twice the area of the square, what is the sum of the possible values of x? I CAN'T ACCESS A FILE SO PLEASE JUST LOOK AT THE PICTURE YOURSELF, AND THEN TELL ME. THANKS!

Answers

Answer:

Sum = 4 + 5 = 9

Step-by-step explanation:

Equation

2*(x - 2)(x-2) = (x - 3)(x + 4)

Solution

2*(x^2 - 4x + 4) = x^2 + 4x - 3x - 12

2x^2 - 8x + 8  = x^2 +x - 12                     Subtract the right side from the left

x^2 - 9x + 20 = 0

(x - 4)(x - 5) = 0

The possible values for x are

x - 4 = 0

x = 4

x - 5 = 0

x = 5

Check

(4 - 2)^2 = (4) = 4

(x - 3)(x + 4) = (4 - 3)(8) = 8

This checks

(5 - 2)^2 = 3^2 = 9

(5 - 3)(5 + 4) = 2 * 9 = 18

Given the coordinates for the function below, which of the following are coordinates for its inverse?

Answers

Th Answer A because the answer B numbers on the stat is wrong the answer should be 650 subtracted by the miles traveled and the answer should match what you subtract

The inverse of the given function is represented by Data Table B.

What is a Function?

A function is a law that relates a dependent and an independent variable.

The Inverse of the function is determined by interchanging the values of a and y in an f(x,y) function and then express the equation of y in terms of x.

Th table of the function is

Miles to go             Miles Travelled

0                                       0

100                                  310

200                                  450

340                                   550

650                                   650

The inverse of this data table will be

 Miles Travelled             Miles to go

650                                        650

340                                        550  

200                                       450

100                                        310

0                                             0

This is represented by Data Table B.

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Plzzz help me!!!!!!!!

Answers

w(2-3)+8w
=2w-3w+8w
=-w+8w
=7w.
Hope it will help you!

1. The values, x in a sample of 15 are summarized as follows
Σ(x-c) = 72,Σ(x-c)2 = 499.6
where c is a constant. Given that the sample mean is 104.8.
(a) Find the value of constant c.
(b) Find the variance of x.​

Answers

Answer:

(a) 100

(b) 10.27

Step-by-step explanation:

We are given  

No of elements = 15  

Σ(x-c) = 72,Σ(x-c)^2 = 499.6

,where c is a constant

and the sample mean is 104.8.

(a)  lets take into account Σ(x-c) = 72

this means that we have the sum of the 15 elements of x and each element of x is subtracted by the constant c

so the equation becomes Σxi -15c = 72, ............(1)

where xi means the sum of the elements of x from 1 to 15.

we are given the mean as 104.8

this means that Σxi/15 = 104.8

Σxi = 15*104.8 = 1572 .............(2)

substituting (2) in (1)

we get  

1572 - 15c = 72  

15c = 1500  

c = 100

(b) We will use the property that variance does not change when a constant value is added or subtracted to the elements. This we can observe in the given equation that c is a constant that has the value of 100.

so the variance is  

σ^2 = Σ(x-c)^2/15  - (Σ(x-c)/15 )^2

      = 499.6/15  - (72/15)^2

      = 33.31 - 23.04

   σ^2   = 10.27

Therefore the variance of the given problem is 10.27.

How many odd three-digit numbers have three digits different?

Answers

Answer:

320 odd three.

Step-by-step explanation:

9 but we cannot place the digits that are used in the two other digits and we can place only 7 digits. However, the result is not correct, because there are 320 odd three-digits numbers with different digits.

Please Help!
Factor the following trinomial
[tex]9x^2-24x+16[/tex]
Please show work

Answers

=> 9x² - 24x + 16

Split the middle term(term with x) in such a manner so that the product of those parts is equal to the product of term with x² and constant. Here, those parts are 12 & 12 as 12*12 = 9*16.

=> 9x² - 24x + 16

=> 9x² - (12 + 12)x + 16

=> 9x² - 12x - 12x + 16

=> 3x(3x - 4) - 4(3x - 4)

=> (3x - 4)(3x - 4)

Method 2

=> 9x² - 24x + 16

=> (3x)² - 2(3x*4) + 4²

=> (3x - 4)²

=> (3x - 4)(3x - 4)

Method 3

In case if you can't find the factors of the middle term.

Say f(x) = 0, find the zeroes using quadratic formula. Zeroes of this eqⁿ are [-(-24) ± √24²-4(9)(16)] / 2(9) = 4/3 & 4/3

Therefore, f(x) = (x - 4/3)(x - 4/3) = (3x - 4)(3x - 4)/9

Ignore the numeric constant.

f(x) = (3x - 4)(3x - 4)

Picture is included please help​

Answers

Answer:

B cannot be factored into a perfect square

PLEASE ANSWER FAST!
Complete the square. Fill in the number that makes the polynomial a perfect square quadratic. m² - 16m + c. Find the value of c.

Answers

Step-by-step explanation:

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Which pair of equations below is a result of constructing the altitude, h, in triangle ABC?

Answers

Answer:

the answer is A:

sinA=h/c

sinC=h/a

Step-by-step explanation:

edge 2020

The pair of equations is sinA=h/a cosC=h/a

What is trigonometry?

Trigonometry is the branch of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms.

When a altitude is drawn from the base of the triangle

we can write

sinA=height/ a where a, is the side length of AB

also,cos C=height/a where a, is the side length of AB

Therefore,The pair of equations is where a, is the side length of AB

Learn more about trigonometry,

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