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2 years ago

The equation 4x + 2 has a domain of {0,3,6), what is the range

Mathematics

1 answer:

ser-zykov [4K]2 years ago

3 0

<h3><u>Explanation</u></h3>

Domain and Range

Domain is basically an input while Range is an output. Domain is the set of all x-values while Range is the set of y-values.

$\large \boxed {domain} = > \large \boxed{range}$

From input to output. That means from if we substitute domain in the equation, we would get range.

Substitute x = 0,3 and 6 in the equation.

$f(x) = 4x + 2 \\ f(0) = 4(0) + 2 = 0 + 2 = 2 \\ f(3) = 4(3) + 2 = 12 + 2 = 14 \\ f(6) = 4(6) + 2 = 24 + 2 = 26$

We input the value of x that are given and we get the value of f(x) which is the output at the specified domain.

<h3><u>Answer</u></h3>

Range

$\large \boxed{2, 14, 26}$

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3 years ago

2. Rainey graphed a function with exponential growth and an initial value of 15. Which of the following could represent the equa

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Exponential equation are functions defined by $y =ab^x$

The equation that could represent Rainey graph must take the form $y =15b^x$

<h3>How to determine the equation</h3>

An exponential equation is represented as:

$y =ab^x$

Where:

a represents the initial value
b represents the rate

The initial value (a) is 15.

So, the equation becomes

$y =15b^x$

The graph is not given;

So, the equation cannot be determined.

Assume that the rate is 2.

Then the function would be: $y =15(2)^x$

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brainly.com/question/11464095

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2 years ago

The table shows the relationship between the number of minutes Rodney spends practicing playing the piano p, and the number of m

vagabundo [1.1K]

<u>Answer-</u>

The equation that describes the pattern is,

$\boxed{\boxed{y=2{x}+30}}$

<u>Solution-</u>

P = Number of minutes Rodney spends practicing playing the piano

G = Number of minutes Rodney spends practicing playing the guitar

Taking P on x axis and G on y axis, the points are,

$(0,30),(15,60),(30,90),(45,120)$

Taking first two points i.e $(0,30),(15,60)$ , the line equation will be,

$\Rightarrow \dfrac{y-y_1}{y_2-y_1}=\dfrac{x-x_1}{x_2-x_1}$

$\Rightarrow \dfrac{y-30}{60-30}=\dfrac{x-0}{15-0}$

$\Rightarrow \dfrac{y-30}{30}=\dfrac{x}{15}$

$\Rightarrow 15(y-30)=30{x}$

$\Rightarrow y-30=2{x}$

$\Rightarrow y=2{x}+30$

Putting the other two points i.e $(30,90),(45,120)$ in the equation, they also satisfy the equation. That means they are also on the same line $y=2{x}+30$ .

From the result, it is evident that P and G are linearly related.

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3 years ago

Shawna drove set 264 miles in 5.5 hours at that rate how far can she drive in seven hours

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3 years ago

What two numbers add to make 36 with one of the numbers being exactly twice the other?

11111nata11111 [884]

Answer:

12 and 24

Step-by-step explanation:

2 numbers, x in this case, with one being twice the other, one of them will be 2x, equals 36. Your equation would look like this: 2x+x=36. Simplify it to get 3x=36, divide the 3 and you get 12. 12 will be your small number then multiply by 2 to get your large one, 24.

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3 years ago