( a + b ) ^ { - 1 } \cdot ( a ^ { - 1 } + b ^ {

Look at the following graph of the given equation. Determine whether the equation is a function. Explain why or why not.

Vadim26 [7]

The equation $y=2x+2$ is a function

Explanation:

Given that the graph contains the coordinates $(-1,0)$ , $(0,2)$ , $(1,4)$ and $(2,6)$

We need to determine whether the equation $y=2x+2$ is a function.

To determine the equation is a function, let us substitute the coordinates in the equation and check whether it satisfies the equation.

Let us substitute the coordinate $(-1,0)$ in the equation $y=2x+2$

Thus, we have,

$0=2(-1)+2$

$0=-2+2$

$0=0$

Thus, the coordinate $(-1,0)$ satisfies the equation $y=2x+2$

Substituting the coordinate $(0,2)$ in the equation, we have,

$2=2(0)+2$

$2=2$

Thus, the coordinate $(0,2)$ satisfies the equation $y=2x+2$

Substituting the coordinate $(1,4)$ in the equation $y=2x+2$

$4=2(1)+2$

$4=4$

Thus, the coordinate $(1,4)$ satisfies the equation $y=2x+2$

Substituting the coordinate $(2,6)$ in the equation, we get,

$6=2(2)+2$

$6=6$

Thus, the coordinate $(2,6)$ satisfies the equation $y=2x+2$

Hence, the coordinates $(-1,0)$ , $(0,2)$ , $(1,4)$ and $(2,6)$ satisfies the equation $y=2x+2$

Thus, the equation $y=2x+2$ is a function.

6 0

4 years ago

An electronic product contains 48 integrated circuits. The probability that any integrated circuit is defective is 0.01, and the

BigorU [14]

Answer:

0.6173 = 61.73% probability that the product operates.

Step-by-step explanation:

For each integrated circuit, there are only two possible outcomes. Either they are defective, or they are not. The integrated circuits are independent. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

An electronic product contains 48 integrated circuits.

This means that $n = 48$

The probability that any integrated circuit is defective is 0.01.

This means that $p = 0.01$

The product operates only if there are no defective integrated circuits. What is the probability that the product operates?

This is P(X = 0). So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{48,0}.(0.01)^{0}.(0.99)^{48} = 0.6173$

0.6173 = 61.73% probability that the product operates.

5 0

3 years ago

A line segment is defined by which of the following statements?

kaheart [24]

The only given option that correctly defines a line segment is;

Option C; All points between and including two given points.

In geometry in mathematics, a line segment is defined as a part of a line that is bounded by two distinct end points.

Now, let us look at the options;

Option A; This is not correct because a line segment must have 2 distinct endpoints

Option B; This is not correct because a line segment is a part of a line and not a set of points.

Option C; This is correct because it tallies with our definition of line segment.

Option D; This is not correct because a line segment does not extend infinitely.

Read more at; brainly.com/question/18089782

7 0

3 years ago

2 Points

lidiya [134]

"An angle that forms a linear pair with one of the interior angle the triangle" is the best definition of an exterior angle of a triangle.

Option: C

Explanation:

When to the sum of the inward angles opposite outer angle of a triangle the sum of the inward angles opposite is equivalent thus understood as exterior angle of a triangle.

The Triangle outer angle theorem for more about is if at each vertex the equivalent angle is drawn, the outer angles always add up to 360°. In reality, this is valid for any convex polygon, not just triangles.

In the most easiest pattern , since any angle of triangle equivalent is 60′, the outer angle would be 120′. Therefore all exterior angles sum is:

120 + 120 + 120 = 360°.

4 0

3 years ago

Juans class has 10 girls and 15 boys.The ratio of girls to boys in Steven’s class is the same as the ratio of girls to juans cla

DaniilM [7]

J=15b/10g

S=21b/g w/ the ratio 3/2 (15/10=3/2)

1) Form an equation (21/g=3/2).

2) Since you are trying to find the denominator, multiply 3/2 so that the numerators are the same (3×7=21 2×7=14).

3) The answer will be whatever the denominator is at the end.

The answer is there are 14 girls in Steven's class.

4 0

4 years ago

( a + b ) ^ { - 1 } \cdot ( a ^ { - 1 } + b ^ { - 1 } )​

( a + b ) ^ { - 1 } \cdot ( a ^ { - 1 } + b ^ { - 1 } )