Use f(x) = x^2 + 4x - 12

A. Does the graph of our function open upward or downward?

B. Indentify the coordinates for the vertex

C. Indentify the x-intercepts

D. indentify the y-intercepts

E. does the graph have a maximum or minimum?

Answers

Answer 1

Answer:

I imagine you aren't using calculus, so:

A: the leading term is [tex]1>0[/tex], so it opens upwards.

B. First coordinate of the vertex is [tex]-\frac b{2a}=-\frac42=-2[/tex], the second coordinate we'll find by replacing the value: [tex]f(-2)=(-2)^2+4(-2)-12 = 4-8-12=-16[/tex]

C. Quadratic formula or if you stare at the equation long enough you can rewrite the equation as  [tex]f(x) = (x+6)\times(x-2)[/tex]. At this point the x intercepts are the zeroes of the function, or -6 and 2.

D. The y-intercept is the value of the function at 0, or the constant term: -12

E. The graph has a minimum since the curve opens upwards.


Related Questions

What is the first number in the sequence?

Answers

Answer:

Step-by-step explanation:

Let "n" be the first number

n + (n + 2) + (n + 4) + (n + 6) = 36

                                4n + 12 = 36

                                       4n = 24

                                         n = 6

as "n" itself is even, it qualifies

6 + 8 + 10 + 12 = 36

Solve each inequality 3+1/2(3-x)<-7

Answers

Answer:

You can download app to help you I hope you find your answer

Which equation matches the graph?

Answers

Answer:

i think 4x+3y = -24 is answer

I need the correct answer to this problem please

Answers

∫2x+1 =2-5

Answer is ∫2x+1 = -3
This equation has no solutions

Suppose your family lives in Muntinlupa City (one of the West Valley Fault Line area) and decided to move in to the work place of your father in Teresa, Rizal which is approximately 50 km apart, if renting a van costs an initial amount of 4000php for maximum of 30km and an additional payment of 200php for every 5km, how much will your father pay in renting a van from Muntinlupa City to Teresa, Rizal? {attach only 1 picture of your table/answer}

Answers

Step-by-step explanation:

it is 50 km in total.

30 km are already covered by the initial rental amount (4000).

what is left is 50-30 = 20 km.

for these 20 km he has to pay 200 for every 5 km.

how many 5 km units are in 20 km ?

well, 20/5 = 4

so, he needs to pay additionally 200×4 = 800php.

therefore, the total cost will be

4000 + 800 = 4800php

)) The volume of a pyramid with base area B and height his Bh. Jill makes candles
shaped like pyramids to sell at a craft fair. The candles are 6 inches tall and have a base area
of 4 square inches.
1) What is the volume of one of the candles?
1) Write your answer as a whole number or decimal.
cubic inches
Submit

Answers

Answer:easy it’s 8

Step-by-step explanation:I just did that same ixl/quiz!

Hey mathematicians ! Can anyone help me with these problems please ! Will give brainly !

Answers

Answer:

answer is below

Step-by-step explanation:

ok so i kinda want u to learn so im just gonna tell you how to do them!

for the first set, what you do is put (y2-y1)/(x2-x1). for example, (16-6)/(3-18) is the slope.

for the second set, every problem is in y=mx+b form, where m is the slope. so for example in 37 the slope is 1/2

for the third set, use midpoint formula. x is (x1+x2)/2, and y is (y1+y2)/2

hope this helps!

A chi-squared curve is symmetric about 0

Answers

Answer:

The answer is false

Step-by-step explanation:

Unlike any symmetric distribution, the chi-square distribution is non-symmetric. Accordingly, this statement cannot be trusted—b.

As chi-square does not depend on all degrees of freedom, it is a non-symmetric distribution that excludes symmetric data.

Two angels in a triangle are equal and their sum is equal to the third angle in the triangle. What are the measures of each of there interior angles?

Answers

Answer:

  45°, 45°, 90°

Step-by-step explanation:

You have described an isosceles right triangle. The angle measures are ...

  45°, 45°, 90°

_____

If x is the smaller angle measure, then the total of angles is ...

  x + x + 2x = 180°

  x = 180°/4 = 45°

£4800 is divided among three brothers
A, B and C. A receives three times as much as B and C receives twice as much as B. If B receives $x, form an equation in x.​

Answers

Answer:

A: 2400

B: 600

C: 1800

Step-by-step explanation:

A= x+3x=4x

C = x+2x= 3x

4x+x+3x = 4800

8x= 4800

x= 600

share of A= 2400$

share of B= 600$

share of C= 1800$

a farmer is creating a budget for planting soybeans and whet. planting soybessns cost $200 an acre and planting wheat cost $500 per acre. he wants to spend no more than $100000 planting soybeans and wheat.

Answers

Set up a proportion, 200/500 = x/100000

can someone help me with this math problem?​

Answers

Answer:

∠ B ≅ ∠ E

Step-by-step explanation:

Since the triangles are congruent then corresponding angles are congruent

ABC ≅ DEF

The corresponding angles are B and E

Answer:

The answer is [tex]\angle B\cong \angle E[/tex]

Step-by-step explanation:

Given that

[tex]\Delta ABC \cong \Delta DE[/tex][tex]F[/tex]

Hence corresponding angles are congruent

[tex]\angle B\cong \angle E[/tex]

PLZ HELP!!! I WILL GIVE CORRECT ANSWER BRAINLIEST!!!
QUESTION: Find three consecutive integers where the sum of the first and the twice second is 35.

Answers

Answer:

11, 12, 13

Step-by-step explanation:

let's put the first number of the three as a:

a; a+1; a+2

The sum of the first and the twice second is 35 means:

a + 2(a+1) = 35

a + 2a + 2 = 35

3a = 33

a=11

now that we know a, we just need to add 1 and 2 as they are consecutive:

11, 12, 13

alguien podria ayudarme?​

Answers

Answer:

con que?

Step-by-step explanation:

Twice a number is 46 less than 4 times the number. Find the number.

Answers

Answer:

23

Step-by-step explanation:

let the number be n then twice the number is 2n and 4 times the number is 4n

Then

2n = 4n - 46 ( subtract 4n from both sides )

- 2n = - 46 ( divide both sides by - 2 )

n = 23

The number is 23

Answer:

34.5

Step-by-step explanation:

23 x 2 = 46 less than 4 times = 11.5

46 - 11.5 = 34.5

Which symbol correctly compares the two angle measures? pi/4 radians_____30°
A. <
O B. >
C. =
I don't know the answer and thats my guess :,)​

Answers

Answer:

B. [tex]\frac{\pi }{4} Rad>30^{0}[/tex]

Step-by-step explanation:

[tex]\frac{\pi }{4} Rad=(180/4)^{0} =45^{0}[/tex]

Hope this helps

x and y simplifying problem. Please explain how to do thiese. I will gove 15 points

Answers

[tex]\dfrac 56 x + \dfrac25 y - \dfrac14 x + \dfrac3{10} y[/tex]

First, combine like terms:

[tex]\left(\dfrac 56 - \dfrac14\right) x + \left(\dfrac25 + \dfrac3{10}\right)y[/tex]

Now just simplify the coefficients of x and y. We do this by converting each pair of fractions to ones with a common denominator. Then we can combine them easily.

[tex]\dfrac56 - \dfrac14 = \dfrac56\cdot\dfrac22 - \dfrac14\cdot\dfrac33 = \dfrac{5\cdot2}{6\cdot2} - \dfrac{1\cdot3}{4\cdot3} = \dfrac{10}{12} - \dfrac3{12} = \dfrac{10-3}{12} = \dfrac7{12}[/tex]

[tex]\dfrac25 + \dfrac3{10} = \dfrac25\cdot\dfrac22 + \dfrac3{10} = \dfrac{2\cdot2}{5\cdot2} + \dfrac3{10} = \dfrac4{10} + \dfrac3{10} = \dfrac{4+3}{10} = \dfrac7{10}[/tex]

So the simplified expression would be

[tex]\dfrac7{12} x + \dfrac7{10} y[/tex]

Given that in ABC, angle C is 12 less than 4 times x, angle A is 11 more than twice x, and angle B is 8 less than 3 times x. Find the m of angle
C

Answers

Answer:

  m∠C = 72°

Step-by-step explanation:

The sum of the angles in the triangle is 180°.

  A +B +C = 180°

  (2x +11)° +(3x -8)° +(4x -12)° = 180°

  9x = 189 . . . . . . . . divide by °, add 9

  x = 21 . . . . . . . . . divide by 9

Angle C is ...

  (4x -12)° = (4(21) -12)° = 72° . . . . angle C

_____

Additional comment

Angle A is 53°; angle B is 55°.

(a) The area of a rectangular parking lot is 7050 m².
If the length of the parking lot is 94 m, what is its width?

(b) The perimetel of a rectangular pool is 356 m.
If the width of the pool is 82 m, what is its length?
Length of the pool: Im

Answers

Answer:

75 m, 96 m

Step-by-step explanation:

a. Area = length x width

7050 = 94 x width

7050/94 = w

75 m is width

b. perimeter = 2L + 2W

356 = 2L + 2(82)

356 = 2L + 164

192 = 2L

96 m = L

Julie goes to the store to buy grapes. Grapes cost $1.09 per pound. Write an equation to help Julie determine the total amount, y, she will pay for a given number of pounds of grapes, x?

Answers

Answer:

y=1.09x

Step-by-step explanation:

Please look for the question in the picture.

Answers

Answer:

-12.5

Step-by-step explanation:

-7x+8+11x=-42

-7x+11x=-42-8

4x=-50

x=-12.5

Hope this helped! :)

Hey There!

Question:-

[tex] \sf \: - 7x+8+11x= - 42[/tex]

We need to find the value of x.

Solution:-

[tex]\sf \longmapsto - 7x + 8 + 11x = - 42[/tex]

Combine Like terms:-

[tex]\sf \longmapsto \: ( - 7x+11x)+(8)= - 42[/tex]

On Simplification :-

[tex]\sf \longmapsto \: 4x +8 = - 42[/tex]

Subtract 8 from both sides:-

[tex]\sf \longmapsto \: 4x+8 - 8= - 42 - 8[/tex]

On Simplification:-

[tex]\sf \longmapsto \: 4x + 0 = - 42 - 8[/tex]

Note that (-) and (-) equals to (+).

[tex]\sf \longmapsto \: 4x = - 50[/tex]

Divide both sides by 4:-

[tex]\sf \longmapsto \: \dfrac{4x}{4} = \dfrac{ - 50}{4} [/tex]

On Simplification:-

[tex]\sf \longmapsto \: \dfrac{ \cancel2x}{ \cancel2} = \dfrac{ \cancel{- 50}}{ \cancel4} [/tex]

[tex]\sf \longmapsto \: x = \dfrac{ - 25}{2} [/tex]

Or in Decimal :-

[tex]\sf \longmapsto \: x = -12.5[/tex]

______________________________________

Henceforth, the value of x is :-

[tex]\boxed{\huge \red{x = - \dfrac{25}{2}}} [/tex]

In Decimal:-

[tex] \boxed{\huge\red{ x = -12.5}}[/tex]

________________________________

Please let me know if you have any questions.

~MisterBrian

The function y = 4x + 3 describes Player A's
scores in a game of trivia, where x is the number of
questions answered correctly and y is the score. The function
represented in the table shows Player B's scores. What do
the rates of change tell you about how each player
earns points?

Answers

The rates of change of points earned by both players tell us that;

Player A gains more point than Player B does for each correct answer in this round.

We are told that x is the number of

number ofquestions answered correctly and y is the score.

Now, for player B;

For 1 correct answer, he got a score of 4

For 2 correct answers, he got a score of 5

For 3 correct answers, he got a score of 6

For 4 correct answers, he got a score of 7

This means that rate of change of Player B is;

3 points for every extra question answered correctly. .

Now, the formula for player A's points is;

y = 4x + 3

Rate of change of points here is gotten by finding the derivative. Thus;

dy/dx = 4

This means player A earns 4 points for every extra question answered correctly.

In conclusion, it mean that Player A gains more point than Player B does for each correct answer in this round.

Read more on slope intercept form of equation at; https://brainly.com/question/19249035

If you subtract 3 from twice a number,the result is 25.find the number

Answers

14

This should be right!

26.52 x 90.7 step by step

Answers

[tex]Hiya![/tex]

Sokka is here to help!!

Here's a explanation!

[tex]26.52[/tex] × [tex]90.7 = 2405.364[/tex]

[tex]OR:[/tex]

Here's a paper I wrote of your answer.

Sorry, if my picture is blurry.

Hopefully, this helps you!!

[tex]Sokka[/tex]

pls helpppppppppppppppp

Answers

Answer:

Step-by-step explanation:

I believe it’s yes

Answer:

Yes

Step-by-step explanation:

A function has only one output value for each input value.

Put the following equation of a line into slope-intercept form, simplifying all fractions. 6y+4x=-12

Answers

Step-by-step explanation:

6y +4x=-12

6y=-4x-12

y= -4/6x -12/6

y= -2/3x -2

what is the value of the expression when a=5, b=4, and c=6?
4a/2b-c

a. 2
b. 5
c. 9
d. 10

Answers

Answer:

D

Step-by-step explanation:

Pluck in the values, we have:

4.5/2.4 - 6 = 20/2 = 10

Solve for x&y using substitution but do it step by step

Answers

Answer:

x +2y = 2 ...... 1

7x + 10y = 2 ..... 2

x = 2 - 2y ..... 3

substitute 3 in 2

7(2 - 2y) + 10y = 2

14 - 14y + 10y = 2

14 - 4y = 2

- 4y = 2 - 14

- 4y = - 12

divide by - 4 on both sides

y = 3

substitute the value of y in 3

× = 2 - 2(3)

x = - 4

(x ; y )

(- 4 ; 3)

please please help!

Answers

Answer:

Option B is the correct answer

Step-by-step explanation:

Given that

[tex]\sin \theta =\frac{-1}{\sqrt{2}}[/tex]

Value of sine function is negative in third and fourth quadrant

Hence this is true for

[tex]\theta =225^{0},315^{0}[/tex]

Option B is the correct answer

Which graph shows a linear equation?

Answers

Answer:

The bottom right is a linear equation.

Step-by-step explanation:

Answer:

right side down one

Step-by-step explanation:

as you know linear means supplementary having 180 °

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