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

Help help help math math

Answers

Answer:1 or 2/2

Step-by-step explanation:

-2 to 0 is adding 2 and 0 to 3 is also adding two so for x it will be two

For Y it is from 4 to 6 so it is also adding 2 and from 6 to 8 your also adding 2

So y will be 2

And 2/2 is 1

Which equation best matches the scenario below?

The total cost t is proportional to the number n of items purchased at a constant price of $4.

A) 4t = n
B) t = 4n
C) t = n ÷ 4
D) 4t = 4n

Answers

Answer:

Definetly t = 4n

Sam is building a fence around his circular garden with a diameter of 8 ft. How long is the fence?

Answers

Answer:

25.13ft

Step-by-step explanation:

The length of the fence will be the circumference.

[tex]C=2*pi*r=2*pi*8/2=8pi=25.13ft[/tex]

A bag contains 42 red,45 green, 20 yellow and 32 purple candies you pick one candy at random find the probability that it is green or yellow

Answers

Answer:

Probability 29%

Step-by-step explanation:

Answer:

65/139

Step-by-step explanation:

Just did this problem

A company has two large computers. The slower computer can send all the company’s email in 50 minutes. The faster computer can complete the same job in 30 minutes. If both computers are working together, how long will it take them to do the job?

Answers

Answer:

18 minutes and 45 seconds

Step-by-step explanation:

[tex]\frac{1}{50}[/tex] + [tex]\frac{1}{30}[/tex] = [tex]\frac{3+5}{150}[/tex] = [tex]\frac{4}{75}[/tex]

1 ÷ [tex]\frac{4}{75}[/tex] = [tex]\frac{75}{4}[/tex] = 18' 45''

Answer:

18.75 minutes If A and B work together

F(x)=2x^2+7 what is the value f(-2)

Answers

Answer:

f(x)=2(x+7/4)^2-49/8

Step-by-step explanation:

AWNSER DOES ANYONE KNOW the wander PLEASE I WILL GIVE BRIANLIEST

Answers

Answer:

C - qd

Step-by-step explanation:

qid means four times a day

tid means three times a day

qd means every other day (answer)

qod also means every other day (but since it's not recommended to use this notation, the answer should be qd)

Answer:

C. qd

Step-by-step explanation:

qd stands for quaque die in latin. translated to english it means every day.

Which expression is a sum of cubes?
0-24a15 +125018
-64a27 +08
O
- 3x + 6
81X4+ + By
8y40

Answers

This would be C because 27 and 1 are the only factors that can be cubed (remember, when there is no number, 1 is represented)

Answer: C

Step-by-step explanation:

5. Find cos theta if sin theta= -12/13
and tan theta > 0. (6 points)

Answers

[tex]\text{Given that,}\\\\\sin \theta = -\dfrac{12}{13}\\\\\implies \sin^2 \theta = \dfrac{144}{169}\\\\\implies 1- \cos^2 \theta = \dfrac{144}{169}\\\\\implies \cos^2 \theta = 1- \dfrac{144}{169}\\\\\implies \cos^2 \theta = \dfrac{25}{169}\\\\\implies \cos \theta = \pm \sqrt{\dfrac{25}{169}} = \pm \dfrac 5{13}\\\\\\\text{Since,}~ \tan \theta >0,\\\\\cos \theta =- \dfrac{5}{13}[/tex]

Jarad, the track star, ran the 88 yards in 10 seconds. How fast is this in miles per hour?

Answers

Answer:

0.18 i think

Step-by-step explanation:

Find the distance between the two points (1,1) and (3,-4)

Answers

[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{1}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{-4})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{(3-1)^2+(-4-1)^2}\implies d=\sqrt{2^2+(-5)^2}\implies d = \sqrt{29}[/tex]

During the last year the value of your house decreased by 20%. If the value of your house is $265,000 today, what was the value of your house last year? Round your answer to the nearest cent, if necessary.

Answers

Answer: 331,250

Step-by-step explanation: hope it helps

NO LINKS
A jaguar can run 40 miles per hour while a giraffe can run 32 per mile if they both run for 4 hours how much farther will the jaguar run? Show TWO ways to write the expression or equation and solve

Answers

Answer:

(40*4)-(32*4)=32

160-128=32

Step-by-step explanation:

Right triangles 1, 2, and 3 are given with all their angle measures and approximate side lengths. Use one of the triangles to approximate the ratio (KL)/(JL).

- 0.64
- 0.77
- 0.83
- 1.2

Answers

Answer:

[tex]\frac{KL}{JL}[/tex] = [tex]\frac{6.4}{7.7}[/tex] = 0.83

Step-by-step explanation:

The key understanding here is that ΔJKL is similar to triangle 3 based on the AA criterion (they both have a right angle and a 40° angle).

We can find [tex]\frac{KL}{JL}[/tex] by setting up a proportion statement that includes KL, JL, and the lengths of their corresponding sides in triangle 3.

We can use this proportion:

[tex]\frac{KL}{6.4}[/tex] = [tex]\frac{JL}{7.7}[/tex]

[tex]\frac{KL}{6.4}[/tex] ⇒ opposite to 40° angle

KL, JL ⇒ ΔJKL

[tex]\frac{JL}{7.7}[/tex] ⇒ adjacent to 40° angle

6.4, 7.7 ⇒ triangle 3

[Now see the attachment]

Now we can rewrite the equation to show the ratios of the side lengths within each triangle.

[tex]\frac{KL}{JL}[/tex] = [tex]\frac{6.4}{7.7}[/tex]

[tex]\frac{KL}{JL}[/tex] ⇒ ΔJKL

KL, 6.4 ⇒ adjacent to 40° angle

[tex]\frac{6.4}{7.7}[/tex] ⇒ triangle 3

JL, 7.7 ⇒ adjacent to 40° angle

Answer: it’s 0.82

Step-by-step explanation:

What is social stratification?

A. Studying a person's ancestors to learn more about his or her

status

B. Ranking people based on factors such as gender, wealth, and

occupation

C. Expecting women to be responsible for nurturing families and

caring for homes

D. Displaying expensive material objects to demonstrate one's status

Answers

Answer:

The answer is B

Step-by-step explanation

It's a system ranking people in a hierarchy

y = 3 tan(x2 + 5) [using Chain Rule]​

Answers

Answer:

6x sec2 (x2+5) the number to are in the top of x a c.

Kanica wants to earn at least $750 this week in commission. What is the minimum amount she needs to sell in order to earn $750 if she earns a 7.5% commission on everything she sells? Round your answer to the nearest dollar if necessary.

Answers

Answer:

Total earning Kanica wants to make is at least $750

The commission she gets is 7.5 % Therefore to find the sales she should make we use :

(Total earnings * 100% )/ Commission

= (100 * 750) / 7.5

=75000/7.5

= $ 10,000

The minimum amount she needs to sell in order to earn $750 if she earns a 7.5% commission on everything she sells is $10,000.

What is the percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

It is given that:

Kanica wants to earn at least $750 this week in commission.

Let x be the minimum amount she needs to sell in order to earn $750 if she earns a 7.5% commission on everything she sells.

The value of x can be found as follows:

x = 750/(7.5%)

x = (750/7.5)x100

x = $10,000

Thus, the minimum amount she needs to sell in order to earn $750 if she earns a 7.5% commission on everything she sells is $10,000.

Learn more about the percentage here:

brainly.com/question/8011401

#SPJ5

Find the perimeter of a semicircle with a radius of 9 in.
Please explain and be accurate.

Answers

Answer:

9π + 18

Step-by-step explanation:

The circumference of a circle is pi times diameter, so 9 x 2 = 18 inches, which is the diameter. That will be the flat side of the semicircle. Then the circumference of the whole circle will be 18π. To find the curved side of the semi-circle, divide this by 2, so you get 9π. Therefore the answer is 9π + 18. The rough answer to 3 decimal places is 46.274

Write an equation in point-stope form for the line through the given point with the given slope.

Answers

Answer:

y-3=6(x-8)

Step-by-step explanation:

given that the slope is 6 and the line passes through (8,3), we can use the formula y-y1=m(x-x1), where (x1, y1) is the ordered pair and m is the slope. we can plug the given values in from there. m=6, x1=8, and y1=3. hope this helps!

Pls look at photos I’ll give 30 points

Answers

you said you’d give 30 points but i only see 15 there ☹️

Expand using identities:
(i) (2x- 5y)²
(ii) (11a + 2) (11a – 2)
(iii) (7m + 3) (7m + 3)

Answers

Answer:

Step-by-step explanation:

(2x-5y)^2

(2x-5y)(2x-5y)

4x^2-10xy-10xy+25y^2

4x^2-20xy+25y^2

------------------------------

(11a+2)(11a-2)

121a^2+22a-22a-4

121a^2-4

------------------------------

(7m+3)(7m+3)

49m^2+21m+21m+9

49m^2+42m+9

7/8 = ?/48
A. 1
B. 42
C. 6
D. 13

Answers

7/8= B. 42/48

#HOPE THIS HELP

Write an equation for a rational function with:
Vertical asymptotes of x = 1 and x = 4
x intercepts at (-1,0) and (-6,0)
y intercept at (0,8)
Use y as the output variable. You may leave your answer in factored form.

Answers

Answer:

[tex]y=\frac{\frac{16}{3}(x+1)(x+6)}{(x-1)(x-4)}[/tex]

Step-by-step explanation:

Because x=1 and x=4 are the solutions to x-1=0 and x-4=0, then we have (x-1)(x-4) in the denominator.

Because (-1,0) and (-6,0) are the solutions to x+1=0 and x+6=0, then we have (x+1)(x+6) in the numerator.

Now we have [tex]y=\frac{a(x+1)(x+6)}{(x-1)(x-4)}[/tex] where we plug in (0,8) to solve for a:

[tex]y=\frac{a(x+1)(x+6)}{(x-1)(x-4)}[/tex]

[tex]8=\frac{a(0+1)(0+6)}{(0-1)(0-4)}[/tex]

[tex]8=\frac{6a}{4}[/tex]

[tex]32=6a[/tex]

[tex]\frac{32}{6}=a[/tex]

[tex]\frac{16}{3}=a[/tex]

Therefore, the equation for the rational function is [tex]y=\frac{\frac{16}{3}(x+1)(x+6)}{(x-1)(x-4)}[/tex]

the product of two factors is 4200.if one of the factors is 60.what is the other factor? ​

Answers

Answer:

Other factor is 70

Step-by-step explanation:

Let,

Other factor = x

Then,

x × 60 = 4200

x = 4200/60

x = 420/6

x = 70

Another factor is 70.

Answer:

Solution given

let two factor be a and b.

if one factor a=60, then b=?

we have

product of factor=4200

a*b=4200

60*b=4200

b=[tex]\frac{4200}{60}=70[/tex]

Step-by-step explanation:

Which statement best describes π?
A:Pi is the result of dividing a circle’s circumference by its radius.
B: Pi is the result of dividing a circle’s diameter by its circumference.
C: Pi is the result of dividing a circle’s circumference by its diameter.
D: Pi is the result of dividing a circle’s radius by its circumference.

Answers

Answer:

C.

Step-by-step explanation:

Pi = circumference / diameter.

45
899
769
459
X?
Use the exterior angle sum to find the value of x in the diagram
above.
A.72
B.105
C.108
D.435

Answers

Answer:d

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

3] If the p.d.f., of the random variable X is given by

f(x)= K/sqrt x &0 otherwise

(c) P(|X| < 3)

(d) E(2X - 2)

(e) V(3X)

Answers

Answer:

PDF for a continuous random variable is given. Use the PDF to find (a) and the CDF.

Please help me with this i am ver confused

Answers

1) the second option
2) the third option

hope this helped!

Answer:

1) 2/x³ the secound option

2)1/x²⁴ the secound option

I think

what is the hypotenuse of a right triangle with a and b related by the statement a=b-5.

Answers

Answer:

c = 5b ±sqrt(-10(b+a)+2)

Step-by-step explanation:

By using the Pythagoras theorem,

c² = a² + b²

a = b-5

b = a+5

c² = (b-5)² + (a+5)²

c² = b²-10b+25 + a²+10a+25

c² = b²-10b-10a+50

c² = b²-10(b+a)+50

c = 5b ±sqrt(-10(b+a)+2)

Find the least common denominator for these fractions.

Answers

Answer:

15

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

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