MATHEMATICS HIGH SCHOOL

How to solve parabola

Answers

Answer 1

Answer:

standard form: ax^2+bx+c

vertex form: a(x-h)^2+k

Answer 2

Answer: i hate parabolas. i can't remember the equation. sorry.

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An exponent shows how many times the base number is multiplied by itself. a. True b. False
The graph below shows the value of Edna's profits f(t), in dollars, after t months:graph of quadratic function f of t having x intercepts at 6, 0 and 18, 0 and vertex at 12, negative 36 What is the closest approximate average rate of change for Edna's profits from the 12th month to the 18th month? (A)5.92 dollars per month (B) 3.75 dollars per month (C) Five dollars per month (D) Nine dollars per month
The temperature is 8 degrees F. As a cold front moves in, the temperature drops 6 degrees F per hour. What is the temperature at the end of 3 hours
Divide. (4x^3+2x+1)÷(x+1)4x^2−4x+6+5/x+1 4x^2−4x+6−5/x+1 4x^2+4x−6−5/x+1 4x^2+4x+6−5/x+1

Aaron gives an estimate of 2 for the quotient in a division problem his teacher says his estimate is reasonable if the divisor is 4 which number could be the dividend in Aaron's problem help pleaseeee

Answers

B because it's the closest to 8

Solve this system of linear equations. Separatethe x- and y-values with a comma.
8x = -46 - 2y
7x = -59 + 2y

Answers

Answer:

x = -7, y =5

Step-by-step explanation:

8x = -46 - 2y

7x = -59 + 2y

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

Add the two equations together to eliminate y

8x = -46 - 2y

7x = -59 + 2y

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

15x =-105

Divide each side by 15

15x/15 = -105/15

x =-7

Now solve for y

7x = -59+2y

7(-7) = -59+2y

-49 = -59+2y

Add 59 to each isde

-49+59 = 2y

10 = 2y

Divide each side by 2

10/2 = 2y/2

5 =y

Answer:

(-7,5)

Step-by-step explanation:

8x = -46 - 2y

2y = -46 - 8x

7x = -59 + 2y

7x = -59 - 46 - 8x

15x = -105

x = -7

2y = -46 - 8(-7) = 10

y = 5

Choose all the numbers that 84 is divisible by.2
3
4
5
6
9
10

Answers

The number 84 is divisible by 2,3,4 and 6.

What is division?

One of the four fundamental arithmetic operations, or how numbers are combined to create new numbers, is division.

The numbers which divide 84 completely are:-

2 ⇒ 84 ÷ 2=24

3 ⇒ 84 ÷ 3=28

4 ⇒ 84 ÷ 4=21

6 ⇒ 84 ÷ 6=13

Hence, the numbers are 2,3,4 and 6.

To know more about division follow

brainly.com/question/4721701

#SPJ2

2↪84:2=24
3↪84:3=28
4↪84:4=21
6↪84:6=13

Which of the following functions best represents the graph? A. f(x) = x3 + 2x2 − 4x − 8

B. f(x) = x3 + 4x2 − x − 4

C. f(x) = x3 + x2 − 9x − 9

D. f(x) = x3 + 3x2 − 3x − 9

Answers

Answer:

Option: C is the correct answer.

$f(x)=x^3+x^2-9x-9$

Step-by-step explanation:

Clearly from the graph we could see that:

3 and -3 are zeros of the function f(x).

since the graph crosses these two points on the x-axis.

i.e. when x=3 or -3 ⇒ f(x)=0

Now when we put x=3 in each of the equation we see that:

$f(x)=x^3+2x^2-4x-8$

when x=3

$f(x)=3^3+2* 3^2-4* 3-8\n\nf(x)=27+18-12-8\n\nf(x)=25\neq0$

Hence, option A is incorrect.

$f(x)=x^3+4x^2-x-4$

when x=3

$f(x)=27+36-3-4\n\nf(x)=56\neq0$

Hence, option B is incorrect.

$f(x)=x^3+3x^2-3x-9$

when x=3

$f(x)=27+27-9-9\n\nf(x)=36\neq0$

Hence, option D is incorrect.

Hence all the three options are discarded.

Hence, option C is the correct answer.

The function best represents the graph is:

$f(x)=x^3+x^2-9x-9$

Hello there!
the answer would be A

Hope this helps! :)
~Zain

Find the volume of the square based pyramid.

Answers

A = 1/3 * s^2 * h where s is a side of the base and h is the height.

Finding the height of the pyramid:

$\left((6)/(2) \right )^(\!\!2)+h^(2)=8^(2)\n \n \n 3^(2)+h^(2)=8^(2)\n \n h^(2)=8^(2)-3^(2)\n \n h^(2)=64-9\n \n h^(2)=55\n \n h=√(55)\mathrm{~m}$

Finding the base area:

$S=6^(2)\n \n S=36\mathrm{~m^(2)}$

Formula for the volume of the pyramid:

$V=(S\cdot h)/(3)\n \n \n V=(36\cdot √(55))/(3)\n \n \n V=(\diagup\!\!\!\! 3\cdot 12\cdot √(55))/(\diagup\!\!\!\! 3)\n \n \n \boxed{\begin{array}{c} V=12√(55)\mathrm{~m^(3)} \end{array}}$

For what value of x is the rational expression below equal to zero 20+2x/5-x

Answers

$(20+2x)/(5-x)=0;\ \ \ \ D:x\neq5\n\n(20+2x)/(5-x)=0\iff20+2x=0\n\n2x=-20\ \ \ \ /:2\n\nx=-10\in D$

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