Help....................

Which of the following will result in a rational answer? multiplying pi by a fraction, adding the square root of a non perfect s

katen-ka-za [31]

Multiplying a fraction by a repeating decimal since a fraction is rational and a repeating decimal is rational (repeating numbers will always be rational). Rational number time rational number=rational Pi is an irrational number since the numbers are not repeating (3.1415926535 no repeating numbers as opposed to 0.3333333333333333333 or 0.1919191919)

8 0

4 years ago

Which graph represents the function f(x) = x– 4?

Mazyrski [523]

The graph doesn’t represent it

8 0

3 years ago

Read 2 more answers

Pls someone help, ill give ya brainliest :D

iris [78.8K]

Answer:

Part A) The x-intercepts are the points (-2.5,0) and (0.5,0)

Part B) The vertex is a minimum and the coordinates are (-1,-9)

Part C) see the explanation

Step-by-step explanation:

we have

$f(x)=4x^{2}+8x-5$

Part A: What are the x-intercepts of the graph of f(x)?

we know that

The x-intercepts are the values of x when the value of the function f(x) is equal to zero

so

For f(x)=0

$4x^{2}+8x-5=0$

Solve the quadratic equation

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$4x^{2}+8x-5=0$

so

$a=4\\b=8\\c=-5$

substitute in the formula

$x=\frac{-8(+/-)\sqrt{8^{2}-4(4)(-5)}} {2(4)}$

$x=\frac{-8(+/-)\sqrt{144}} {8}$

$x=\frac{-8(+/-)12} {8}$

$x_1=\frac{-8(+)12} {8}=0.5$

$x_2=\frac{-8(-)12} {8}=-2.5$

therefore

The x-intercepts are the points (-2.5,0) and (0.5,0)

Part B: Is the vertex of the graph of f(x) going to be a maximum or minimum? What are the coordinates of the vertex?

we know that

The quadratic equation represent a vertical parabola open upward (because the leading coefficient is positive)

therefore

The vertex represent a minimum

$f(x)=4x^{2}+8x-5$

Convert to vertex form

Factor 4

$f(x)=4(x^{2}+2x)-5$

Complete the square

$f(x)=4(x^{2}+2x+1)-5-4$

$f(x)=4(x^{2}+2x+1)-9$

Rewrite as perfect squares

$f(x)=4(x+1)^{2}-9$ ----> equation in vertex form

The vertex is the point (-1,-9)

Part C: What are the steps you would use to graph f(x)?

To graph f(x)

I need

1) The direction of the graph (Is a vertical parabola open upward)

2) The coordinates of the vertex (-1,-9) ( in this case is a minimum)

3) The x-intercepts (-2.5,0) and (0.5,0)

4) The y-intercept

The y-intercept is the value of f(x) when the value of x is equal to zero

so

For x=0

$f(0)=4(0)^{2}+8(0)-5\\f(0)=-5$

The y-intercept is the point (0,-5)

Plot the points and draw the parabola

see the attached figure to better understand the problem

8 0

4 years ago

URGENT!!! PLEASE HELP!!!

tankabanditka [31]

Answer: 6.5

Step-by-step explanation:

Since all squares are rhombi, and diagonals of a rhombus intersect at right angles, this means that

$13x+5.5=90\\\\13x=84.5\\\\x=6.5$

8 0

2 years ago

(10pts) Ivan bought three games and paid $65 for all three. The second game was 50% more expensive than the first one. The price

lutik1710 [3]

We are required to find the price of the first game

The price of the first game is $20

Given:

let

price of the first game = x

price of the second game = x + 50% of x

= x + 0.5x

= 1.5x

Price of the third game = 50% of 1.5x

= 0.5 × 1.5x

= 0.75x

Total cost of game = $65

<em>Total cost of game = price of the first game + price of the second game + Price of the third game</em>

65 = x + 1.5x + 0.75x

65 = 3.25x

divide both sides by 3.25

x = 65 ÷ 3.25

x = 20

Therefore, the price of the first game is $20