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2 years ago

Which explains whether or not the values in the table represent a direct variation?

Mathematics

1 answer:

Assoli18 [71]2 years ago

4 0

Answer:

This function represents a direct variation because it passes through the origin and has a constant rate

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The graph of the function showing the path of a soccer ball thrown by a goalie in a video game, f(x) = –0.05x2 + 2.5x + 5.2, is

Tju [1.3M]

Answer:

The correct option is 4.

Step-by-step explanation:

The given function is

$f(x)=-0.05x^2+2.5x+5.2$

Where f(x) is height of the ball and x is the distance.

It is a polynomial function with degree 2. All polynomial functions are defined for all real numbers, therefore the mathematical domain of the function is all real numbers.

$-\infty$

Factorize the given function.

$f(x)=-0.05(x^2-50x-104)$

$f(x)=-0.05(x^2-52x+2x-104)$

$f(x)=-0.05(x(x-52)+2(x-52))$

$f(x) = -0.05 (x - 52) (x + 2)$

Put f(x)=0 to find the x intercepts.

$0 = -0.05 (x - 52) (x + 2)$

Equate each factor equal to 0.

$x=52,-2$

Therefore at x=52 and -2, the graph of f(x) intersects x-axis. Before x=-2 and after x=52 the values of f(x) is negative. Height cannot be negative, therefore reasonable domain is lie between -2 to 52.

Distance cannot be negative, therefore the reasonable domain must be positive.

$0\leq x\leq 52$

Therefore the reasonable domain is $0\leq x\leq 52$ and option 4 is correct.

6 0

2 years ago

Porfavooor ayudaaaaaa

Kruka [31]

Answer:

iqkiqiqiqiqiqkiqiigg

6 0

3 years ago

Solve the quadratic equation below for the exact values of x. 4x² - 5 = 75

vfiekz [6]

Answer:

x = ±2√5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Terms/Coefficients
Multiple Roots

Step-by-step explanation:

Step 1: Define

Identify

4x² - 5 = 75

Step 2: Solve for x

[Addition Property of Equality] Add 5 on both sides: 4x² = 80
[Division Property of Equality] Divide 4 on both sides: x² = 20
[Equality Property] Square root both sides: x = ±2√5

8 0

2 years ago

Read 2 more answers

At a restaurant grand opening, a giant sandwich that was 352 centimeters long was divided equally among 22 people. Clyde got one

snow_lady [41]

Answer:

8 cm

Step-by-step explanation:

You neglected to include any equations

Here is one way to solve:

length of each piece

352/22 = 16

Half a piece

16/2 = 8

Choice C

352/22/2 = l

5 0

3 years ago

Number 17 (the circled one)

olga nikolaevna [1]

It would take 15 hours.

3 0

3 years ago