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3 years ago

What is the yintercept of the graph of the equation y = 2(4*)?

Mathematics

1 answer:

uranmaximum [27]3 years ago

6 0

Answer:

$\boxed {\boxed {\sf C. \ (0,2)}}$

Step-by-step explanation:

The y-intercept of a graph occurs when the function cross the y or vertical axis. This is also where x is equal to 0.

Therefore, we can substitute 0 in for x and solve for y.

$y= 2(4^x)$

$y= 2(4^0)$

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.

Solve the exponent. Any number raised to the power of 0 is equal to 1.

$y= 2(1)$

Multiply.

$y=2$

The y-intercept is 2. So, when x=0, y=2.

Coordinate points are written as (x, y). The y-intercept is <u>(0,2).</u>

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2 years ago

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3 years ago

The midpoint of the coordinates (3, 15) and (20,8) is -

Nat2105 [25]

Answer:

The midpoint of the given coordinates is $(\frac{23}{2},\frac{23}{2})\ or\ (11.5,11.5)$ .

Step-by-step explanation:

We have given two coordinates (3,15) and (20,8).

Let we have given a line segment PQ whose P coordinate is (3,15) and Q coordinate is (20,8).

We have to find out the mid point M(x,y) of the line segment PQ.

Solution,

By the mid point formula of coordinates, which is;

$(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

On substituting the given values, we get;

$M(x,y)=(\frac{3+20}{2}, \frac{15+8}{2})\\\\M(x,y)=(\frac{23}{2},\frac{23}{2})$

We can also say that $M(x,y)=(11.5,11.5)$

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3 years ago