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2 years ago

Which set of ordered pairs does not represent a function? Delta math

Mathematics

1 answer:

cupoosta [38]2 years ago

4 0

Answer:

The first set of ordered pairs is a function, because no two ordered pairs have the same first coordinates with different second coordinates. The second example is not a function, because it contains the ordered pairs (1,2) and (1,5). These have the same first coordinate and different second coordinates

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What is the distance between the lines y = 2x and y = 2x+5? Round your answer to the nearest tenth.

Ilia_Sergeevich [38]

The distance between both lines is 2.24 units

Step-by-step explanation:

There is no straight method to find the distance between two lines. The distance can be found out by finding a point on one line and then finding the distance of that point from the other line. The y-coordinate of point is obtained by putting any value of x in equation . The x and y combined give us the point.

Given

$y=2x\\Putting\ x=1\\y=2(1)\\y=2\\So, the\ point\ on\ y=2x\ is\ (1,2)$

We have to find the distance of this point from y=2x+5

$y=2x+5\\Subtracting\ y\ from\ both\ sides\\y-y=2x+5-y\\2x-y+5=0$

The formula for finding distance of a point (x,y) from a line is:

$d=\frac{|Ax+By+C|}{\sqrt{A^2+B^2}}$

A=2

B=-1

C=5

Putting the values in the formula

$d=\frac{|(2)(1)+(-1)(2)+5|}{\sqrt{(2)^2+(-1)^2}}\\d=\frac{|2-2+5|}{\sqrt{4+1}}\\d=\frac{|5|}{\sqrt{5}}\\d=\frac{5}{\sqrt{5}}\\d=2.236\ units$

Rounding off will give: 2.24 units

The distance between both lines is 2.24 units

Keywords: Equations of lines

Learn more about distance in lines at:

#LearnwithBrainly

7 0

2 years ago

How much money should a student place in a time deposit in a bank that pays 1.1% compounded annually so that he will have Php 20

STatiana [176]

Let us say that:<span>
P = present value
F = future value
i = interest rate
n = period

P = F / [ (1 + i ) ^n ]
P = 200000 / [ (1 + 0.011) ^6 ]
P = 187293.65

<span>Therefore the student must put up Php 187,293.65</span></span>

5 0

2 years ago

The function h ( x ) = 1 x − 1 h ( x ) = 1 x - 1 can be expressed in the form f ( g ( x ) ) f ( g ( x ) ) , where g ( x ) = ( x

Radda [10]

Answer: f(x) = 1^(x + 1)

Step-by-step explanation:

we have that h(x) = 1^x

and h(x) = f(g(x))

This mean that we are evaluating the function f(y) in the point y = g(x)

where g(x) = x - 1

then:

f(g(x) = f(x - 1) = h(x) = 1^x

then we should have that:

f(x) = 1^(x + 1)

then:

f(x - 1) = 1^(x - 1 + 1) = 1^x

4 0

3 years ago

Engineers want to design seats in commercial aircraft so that they are wide enough to fit 9090% of all males. (Accommodating 1

Molodets [167]

Answer:

Hip breadths less than or equal to 16.1 in. includes 90% of the males.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 14.5

Standard Deviation, σ = 1.2

We are given that the distribution of hip breadths is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

We have to find the value of x such that the probability is 0.10.

P(X > x)

$P( X > x) = P( z > \displaystyle\frac{x - 14.5}{1.2})=0.10$

$= 1 -P( z \leq \displaystyle\frac{x - 14.5}{1.2})=0.10$

$=P( z \leq \displaystyle\frac{x - 14.5}{1.2})=0.90$

Calculation the value from standard normal z table, we have,

$P(z < 1.282) = 0.90$

$\displaystyle\frac{x - 14.5}{1.2} = 1.282\\x = 16.0384 \approx 16.1$

Hence, hip breadth of 16.1 in. separates the smallest 90% from the largest 10%.

That is hip breaths greater than 16.1 in. lies in the larger 10%.

4 0

2 years ago

Is the relationship between 7s in 7,742 ant the 7s in 7,785 different in anyway? Explain

melisa1 [442]

The relationship between the 7's is not different in any way because the sevens are all in the same place. The sevens are in the hundreds and thousands place.

4 0

3 years ago