MATHEMATICS HIGH SCHOOL

The sum of 3 consecutive integers is 144, find the integers.

Answers

Answer 1

Answer:

Our three consecutive integers can be represented as

X → first integer

X + 1 → second integer

X + 2 → third integer

If the sum of our three consecutive integers is 144, our equation will read...

X + X + 1 + X + 2 = 144

Now, we can simplify on the left. Once we simplify, our equation will now read

3x + 3 = 144

-3 -3 ← subtract 3 from both sides

3x = 141 ← divide both sides by 3

X = 47

X → first integer 47

X + 1 → second integer 48

X + 2 → third integer 49

Therefore, the 3 consecutive integers are 47, 48, and 49.

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A student playing a computer chess game gets 5 points every time he wins a round. The computer gets 3 points every time it wins a round. They play 64 rounds and end with a tied score. How many rounds did the computer win?

Answers

I am sorry but i don't know, But the student won 32 times. I did the math on paper and then on my calculator. I am really sorry i couldn't help you. 'ω' Hope you do good on this question and again sorry i could not help you.

Graph the function f(x) = x4 − 7x3 + 12x2 + 4x − 12 using graphing technology and identify for which values of x the graph is increasing.

Answers

we have

$f(x) = x^(4) - 7x^(3) + 12x^(2) + 4x - 12$

The options of the question are

A. X:-3 to x:-2

B.x:-2 to x:-1

C. X:1 to x:2

D. X:2 to x:3

Using a graph tool

see the attached figure

The graph is increasing in the interval (-0.15,2) and the interval (3.4, ∞)

The graph is decreasing in the interval (-∞, -0.15) and the interval (2,3.4)

therefore

the interval (1,2) is included in the interval (-0.15,2)

the answer is the option

C. X:1 to x:2

Answer:

Value of x is increasing between $-0.147<x<2$ and $x>3.397$

Step-by-step explanation:

Given : Function $f(x)=x^4-7x^3+12x^2+4x-12$

To find : For which values of x the graph is increasing.

Solution :

We have plot the graph of the given function $f(x)=x^4-7x^3+12x^2+4x-12$

The graph is attached below.

We see that the value of x is increasing from the interval

A- $(-0.147,-12.306)$ to $(2,4)$

B- $(3.397)$ to $(\infty)$

Which means x value is increasing between

$-0.147<x<2$ and $x>3.397$

Expand (2x-3y+3)^2

PLEASE HELP!!

Answers

Answer:

Step-by-step explanation:

(x+ y + z)² = x² +y² + z² + 2xy +2yz + 2zx

Here, x = 2x ; y = -3y & z = 3

(2x - 3y + 3)² = (2x)² + (-3y)² + 3² + 2(2x)(-3y) + 2(-3y)3 + 2*3*(2x)

= 4x² + 9y² + 9 - 12xy - 18y + 12x

Answer:

4x² + 9y² + 12x - 18y - 12xy + 9

Step-by-step explanation:

Given

(2x - 3y + 3)² = (2x - 3y + 3)(2x - 3y + 3)

Each term in the second factor is multiplied by each term in the first factor, that is

2x(2x - 3y + 3) - 3y(2x - 3y + 3) + 3(2x - 3y + 3)

Distribute the 3 parenthesis

= 4x² - 6xy + 6x - 6xy + 9y² - 9y + 6x - 9y + 9 ← collect like terms

= 4x² + 9y² + 12x - 18y - 12xy + 9

Is 0.21 less or greater than half

Answers

0.21 is less than half because a half is 0.5.

So 0.21 is less than 0.5 because the tenths place is less than 5 which makes 0.21 smaller than a half

less than half because .5 is half of one

.5 = .50

compare the 2. that's what I do.

.50

.21

forget the decimal. and pretend that 100 = 1

Hope this helped

What's the product of these binomials (x-9) (x+2)

Answers

Answer:

$(x-9)*(x+2)=x^2 - 7x -18$

Step-by-step explanation:

Let's find the solution, but first we need to understand the following:

multiplication of binomials establish that:

$(a-b)*(c+d)=(a*c) + (a*d) + ((-b)*(c)) + ((-b)*(d))$

now, because your binomials are (x-9) and (x+2), using the above we obtain:

$(x-9)*(x+2)=(x*x) + (x*2) + ((-9)*x) + ((-9)*2)$

which can be simplified as:

$(x-9)*(x+2)=x^2 + 2x - 9x -18$

giving the solution:

$(x-9)*(x+2)=x^2 - 7x -18$

Answer:

$x^(2)$ -7x-18

Step-by-step explanation:

For every penny Sam puts into his bank, Tara puts 4 pennies into her bank. If Sam puts 10 pennies into his bank, how many pennies does Tara put into her bank? Answer options with 4 options

Answers

Answer: If Tara puts 4 pennies in for every one Sam does then after he puts in 10 she would of put 40.

She put in 40 pennies. Hope this helps ;)

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