Mathematics High School

Function: y=x^2−4x−12
Factored Form: y=(x+_) (x-_)
x -Intercepts: (_,_) and (_,_) Type answers smallest to largest left to right.
Axis of Symmetry: x=
Vertex:
Domain:
Range: y≥

Answers

Answer 1

Answer:

Below in bold.

Step-by-step explanation:

y=x^2−4x−12

Factored form: y = (x - 6)(x + 2)

x-intercepts: (-2, 0) and (6, 0).

Axis of symmetry is found by converting to vertex form:

y = x^2−4x−12

y = (x - 2)^2 - 4 - 12

y = (x - 2)^2 - 16.

So axis of symmetry is x = 2.

Vertex is at (2, -16)

Domain is all Real Numbers.

Range is y ≥ -16.

Related Questions

where is the √ 125 on a number line​

Answers

Answer:

im 11  and

Step-by-step explanation:

i just need points i have -32

What is the length of Line segment G D? GD =.

Answers

The length of the line segment GD is 10.5

To get the length of the line segment GD, we will use similarity theorems of triangles to have:

ED/FD = GD/DH

Substitute the given sides to have:

6+GD/(8+14) = GD/14

6+GD/22 = GD/14

Cross multiply

22GD = 14(6+GD)

22GD = 84 + 14GD

22GD - 14GD = 84

8GD = 84

GD = 84/8

GD = 10.5

Hence the length of the line segment GD is 10.5

Learn more on similarity theorems of triangle here: https://brainly.com/question/8242716

Which ordered pair is a solution to the equation? 3x-4y=13

A, (3, 1)
B. (3, -1)
C. (-1, 3)
D. (1, 3)



Need asap (will give brainliest to the best answer*

Answers

The correct answer is B
When you put the values of x and y in the equation

3(3) - 4(-1) = 13

9 + 4 =13

13=13 (correct answer)

When you try putting the rest of the values in the equation the answer doesn’t match ,hence ,the correct answer is B.I hope I get the brainliest answer!

The population of the bacteria triples each hour. Initially, there are 20 bacteria in the lab. Find the number of bacteria at the end of 5th hour
1620
4500
4860
5000

Answers

Answer:

4860

Step-by-step explanation:

Get the product of twenty and three, then multiply that to three again, repeat this for three more times.

First person to answer CORRECTLY will get brainliest and extra points!!

Answers

Answer:

y=15

Step-by-step explanation:

[tex]\sf -(6-4x)[/tex]

Answers

Answer:

[tex] - (6 - 4x) = - 6 + 4x[/tex]

Answer:

[tex]-6+4x[/tex]

Step-by-step explanation:

[tex]-(6-4x)[/tex]

[tex]\mathrm{Distribute\:parentheses}[/tex]

[tex]=-\left(6\right)-\left(-4x\right)[/tex]

[tex]\mathrm{Apply\:minus-plus\:rules}[/tex]

[tex]-\left(-a\right)=a,\:\:\:-\left(a\right)=-a[/tex]

[tex]=-6+4x[/tex]

jerry swims 5 3/5 killometers in a 7 day period. He swims the same distance each day.What distance does he swim in a day

Answers

Answer:

0.8 km per day

Step-by-step explanation:

5 3/5 is the same as 5.6, so

5.6/7

= 0.8 km per day

which sign makes the statement true?
A.<
B. >
C. =

Answers

Answer:

-7 1/2 equals to -7.5

so

-7.5 ___ -7.75

-7.5 > -7.75

If the sum of difference of 13 and 4 divided 64 and 8 is subtracted from the result. Find that number. Mathematical equation plz.​

Answers

Answer:

13+4=17,17/64=3-8=-5

Step-by-step explanation:

this is the solution

Step-by-step explanation:

Let x be the number subtracted from 13 such that the difference is 13-x

divide that resulting difference by 11, then it becomes (13 - x) / 11

Multiply the quotient by 8 then the expression becomes ((13-x)/11)^ * 8

the product comes to 8 then ((13-x)/ 11)^ * 8=8 solve the equation divide

both sides by 8, then (13 - x) / 11 = 1 cross multiply 13 - x = 11 add -13 to both sides - 13 + 13 - x = 11 - 13, - x = - 2 . x = 2 Therefore the number is 2

kayla and Jane helped Mr.John fit kids in the auditorium. There was 603 kids,and each row can fit 31 kids. How many rows do they need to use?​

Answers

Answer:

Around 19 rows

Step-by-step explanation:603/31= 19.40 so I'm not too sure

5) find the value of x and y

Answers

Answer:

x = 45°, y= 5°

Step-by-step explanation:

x = 9y

90+2x = 180

2x = 90

x = 45

so x = 45

9y = 45

y = 5

The ratio of girls to boys in a class is 6 to 8. If there are 27 girls in the class, how many boys are there?


x = 36 boys
x = 40 boys
x = 32 boys
x = 46 boys

Answers

Answer:

36

Step-by-step explanation:

6:8

27/6 = 4.5

8 · 4.5 = 36

order 2⁹, 5.9 × 10², 9³, 5⁴, 6.81 × 10¹ from least to greatest​

Answers

Answer:

2^9=512

5.9*10^2=590

9^3=729

5^4=625

6.81*10=68.1

6.81 × 10¹, 2⁹, 5.9 × 10²,  5⁴, 9³

why is 0.384 lighter then 0.3798

Answers

Has more value to the number

| x | < 2

solve the inequality and then graph the solution

Answers

Answer:

Any number smaller than 2

Step-by-step explanation:

You would graph this by wrighting a solid, filled in circle with an arrow point toward the negative numbers, because those numbers are smaller than 2

100 points!!!!!!!!!!!!

Answers

Answer:

a)

Step-by-step explanation:

Answer: pretty sure it's d but I could be wrong

Step-by-stepStep-by-step explanation:

HELP ME GUYS PLEASE ! :)

Answers

in order:

y=6

y=16

y=26

y=31

Mr. Rossi works 20 days a month. How far does he drive in a month?

Answers

Answer:

No solution

Step-by-step explanation:

How should I kow how much he drove? I need at least one distance. Either your fooling me, or the person who gave you this question is. There is no solution.

Can someone help me :

Answers

E is the answer I am pretty sure.

A right triangle has leg lengths that are 5 meters and 6 meters, respectively. Which of the following lengths, in meters, is closest to that of the hypotenuse of the right triangle? answer

Answers

Answer:

7.8 or 8

Step-by-step explanation: To get the hypotenuse of a right triangle we must square each part.

5^2 is 25 and 6^2 is 36

Now you add the two squared parts, which equals 61. 61 squared isn't a perfectly squared. This means the answer is 7.8 or rounded to the nearest tenth the answer will be 8.


Brainliest reward need brief working out

Answers

Answer:

  1. 125 cm³; 88.8 cm³; 1650 cm³; 0.11 m³

  2. about 1.47 kg

  3. can't tell what the volume of 1 jar is

Step-by-step explanation:

The relationship between volume, mass, and density is ...

  mass = volume × density

Solving for volume, we find ...

  volume = mass ÷ density

__

(a) 50 g/(0.4 g/cm³) = 125 cm³

(b) 770 g/(8.67 g/cm³) ≈ 88.8 cm³ . . . (rounded to 3 significant figures)

(c) 4000 g/(2.42 g/cm³) ≈ 1650 cm³ . . . (rounded to 3 significant figures)

(d) 80 kg/(720 kg/m³) ≈ 0.11 m³ . . . (rounded to 2 significant figures)

_____

The volume of the cylinder is ...

  V = πr²h

  V = π(4 cm)²(15 cm) = 240π cm³ ≈ 754.0 cm³

Using the above relation, we find the mass to be ...

  mass = (754.0 cm³)(1.95 g/cm³) ≈ 1470 g = 1.47 kg

_____

We cannot tell if the volume of each jar is 360 liters, or if that is the total volume of all 6 jars. Either way, we suspect a units problem, as the jars would have to be extremely large and unusually thin relative to what we usually think of as a jar for jam (0.77 m diameter; 0.2 mm thick). The density of the jam would be roughly 10 times the density of air, if that is the volume of all 6 jars. The problem would be more sensible if the units of volume were mm³, and the given volume is that of one jar.

The mass of jam in one jar is (5400/6 -200) = 700 g. Divide that by what you think the volume of one jar is in cm³ to find the density in g/cm³. (For comparison, the density of air is about 0.0012 g/cm³.)

_____

Additional comment

We have rounded the answers to 2 or 3 significant figures. In most cases, this is more than would be justified by the number of significant figures in the given measurements. For purposes of ongoing calculations, it is useful to keep intermediate results to at least 1 more significant figure than required for the answer.

If ab =12 and a²+b²=25, then (a+b)²= ? ​

Answers

Recall that

(a + b)² = a² + 2ab + b²

Then

(a + b)² = 25 + 2•12 = 49

41 - 17=
i know it's 28 but i can't really do math

Answers

it’s 24 you can use a calculator
41 - 17 = 24
Ok done. Thank to me :>

Write a simplified polynomial expression in standard form to represent the area of the rectangle below.
X - 4
5X + 2

Answers

Step-by-step explanation:

i think is this the answer

5×-4=-20

-20+2=18


Given f(x) = 2x2 – 9x+2, g(x) = 1 – 6x, and
h(x) = x² – 4, find the following function:
=
(hof)(x)

Answers

Answer:

2×2=4

9x+2=11x

1-6x=4x

x²-4=16

=16¹⁵x

what does 2/6 - 6/12 equal in fractions pleeeeeaaaase.

Answers

2/6 - 3/6 = -1/6
Because you would divide 6/12 by 2 on each number

Answer: -1/6

You can multiply 2/6 by 2 to get 4/12 which you can subtract from 6/12.

4/12 - 6/12 = -2/12 which you can simplify further to get -1/6

When r= 1 , h=2.4 find r in terms of h

Answers

Answer:

r= 5/12 h

Step-by-step explanation:

r/h = 1/2.4

r =[tex]\frac{10}{24}[/tex]h

r=[tex]\frac{5}{12}[/tex]h

solve one step equation



x + 8 = -10

Answers

Answer:

[tex]x=-10-8 = -18[/tex]

Step-by-step explanation:

Answer:

x=-10-8=18

Step-by-step explanation:

120% of what number is 102

Answers

Answer:

122.4 i think

Step-by-step explanation:

Find the value of N the expression 24 : N = 12 : 17.
​

Answers

N=34
To solve this you figure out how they got the number 24 to be 12, in this case they divided by 2. So, to figure out what number divided by 2 equals 17, you multiply 17 by 2, which is 34.
I hope this helps, if you have any questions please feel free to ask! :)

Answer:

N = 34

Step-by-step explanation:

METHOD I

(hit and trial)

The given two ratios have to be equal.

This means, 24 : N must break down to 12 : 17 after dividing it by some common factor.

The common factor here is 2.

Since,

12 × 2 = 24

17 × 2 = 34

[tex] \boxed{\mathsf{ \underline{N \: must \: be \: 34}}}[/tex]

(after dividing the first ratio by 2(common factor) we get the second ratio. Meaning that they become equivalent as required by the question).

METHOD II

(mathematical approach)

Ratios can be written in form of fractions as:

[tex] \boxed{ \mathsf{ \frac{24}{N} = \frac{12}{17} }}[/tex]

Cross multiplying:

[tex] \implies \mathsf{24 \times 17 = 12 \times N }[/tex]

taking 12 to the denominator:

[tex] \implies \mathsf{ \frac{24 \times 17 }{12} = N }[/tex]

24 and 12 gets canceled and 2 takes up their spot

(why?

=> 24 ÷ 12 = 2)

[tex] \implies \mathsf{2 \times 17 = N } [/tex]

[tex] \implies \mathsf{2 \times 17 = N } [/tex]

[tex] \implies \mathsf{ N = 34 } [/tex]

[tex] \implies \mathsf{ N = 34} [/tex]

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