MATHEMATICS HIGH SCHOOL

24 less than 3 times the number itself is equals to a number.what is the number?​

Answers

Answer 1
Answer:

The number is 12.

What is algebraic expression?

A number, a variable, or a mix of numbers, variables, and operation symbols make up an expression. Two expressions joined by an equal sign form an equation. Word illustration: The product of 8 and 3. Word illustration: The product of 8 and 3 is 11

Given

let number be x.

3x-24 = x

3x-x = 24

2x=24

x = 12

to learn more about algebraic expression refer to:

brainly.com/question/4344214

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Answer 2
Answer: The answer is 24 x 3 = 72

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Half of a number is equal to 8 more than the number.

Answers

Set the number as x. So, 
.5x=x+8
Put all of the x's on one side of the equation.
.5x=-8
Divide by .5 on each side,
x=-16
Hope this helps.

What is the axis of symmetry of the function f(x) = –(x + 9)(x – 21)?The axis of symmetry is x =

Answers

f ( x ) =  - ( x + 9 ) ( x - 21 ) =
= - ( x² - 21 x + 9 x - 189 ) =
= - x² + 21 x - 9 x + 189 =
= - x² + 12 x + 189
This is a quadratic function and its axis of symmetry is:
x = - b / 2a,  where: a = - 1 and b = 12
x = - 12 / 2·(-1) = - 12 / (- 2) = 6
Answer: x = 6

The axis of symmetry is x = 6

Further explanation

Discriminant of quadratic equation ( ax² + bx + c = 0 ) could be calculated by using :

D = b² - 4 a c

From the value of Discriminant , we know how many solutions the equation has by condition :

D < 0 → No Real Roots

D = 0 → One Real Root

D > 0 → Two Real Roots

Let us now tackle the problem!

An axis of symmetry of quadratic equation y = ax² + bx + c is :

\large {\boxed {x = (-b)/(2a) } }

Given:

f(x) = - (x + 9)(x - 21)

f(x) = - (x^2 - 21x + 9x - 189)

f(x) = - (x^2 - 12x - 189)

f(x) = -x^2 + 12x + 189

The axis of symmetry is

x = (-b)/(2a)

x = (-12)/(2(-1))

x = (-12)/(-2)

\large {\boxed {x = 6} }

Learn more

Answer details

Grade: High School

Subject: Mathematics

Chapter: Quadratic Equations

Keywords: Quadratic , Equation , Discriminant , Real , Number , Axis , Symmetry , Function

Solve by addition ANSWER NOW

Answers

-3x + y = 3
3x + 2y = -12
-----------------add
        3y = - 9
         y = -9/3
         y = -3

3x + 2y = -12
3x + 2(-3) = -12
3x - 6 = -12
3x = -12 + 6
3x = - 6
x = -6/3
x = -2

solution is (-2,-3)

Becky lives 5 5/8 miles from school. Steve lives 1 5/9 times as far from the school as Becky. How far does Steve live from the school?

Answers

Steve lives 1 5/9 as far as Becky so how far he lives should be 1 5/9(5 5/8) which is equal to 8.75 or 8 3/4 (I used a calculator but if you were to do this by hand it would be much easier to turn your mixed numbers into improper fractions)

What is the KE of a 1 kg ball traveling at 30 meters per second?

Answers

KE = 1/2 mass times speed-squared KE = 1/2 (1) (900) = 450 joules

The Pythagorean theorem can be used to find a missing length of any triangle. True False

Answers

False it can only be used with triangles that have a right angle

Answer:

false

Step-by-step explanation:
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