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3 years ago

Which relation is a function?

Mathematics

2 answers:

Inessa [10]3 years ago

6 0

To be a function, a graphed equation must pass the vertical line test, i.e. a vertical line must not pass through more than one point on the graph, or the equation must not have more than one y-value for each x-value. All but the lower-left graph fail this test, and are therefore not functions.

Serjik [45]3 years ago

4 0

The answer is the parabola so the one that literally looks like a "U".

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The length of a rectangle is 5 metres less than twice the breadth. If the perimeter is 50 meters,find the length and breadth

MAXImum [283]

As per the given question, it is stated that the length of a rectangle is 5 m less than twice the breadth.

Assumption : Let us assume the length as "l" and width as "b". So,

$\twoheadrightarrow \quad\sf{ Length =2(Width)-5}$

$\twoheadrightarrow \quad\sf{ \ell=(2b-5) \; m}$

Also, we are given that the perimeter of the rectangle is 50 m. Basically, we need to apply here the formula of perimeter of rectangle which will act as a linear equation here.

$\\ \twoheadrightarrow \quad\sf{ Perimeter_{(Rectangle)} = 2(\ell +b) } \\$

l denotes length
b denotes breadth

$\\ \twoheadrightarrow \quad\sf{50= 2(2b-5+b)} \\$

$\\ \twoheadrightarrow \quad\sf{50= 2(3b-5)} \\$

$\\ \twoheadrightarrow \quad\sf{50= 6b - 10} \\$

$\\ \twoheadrightarrow \quad\sf{50+10= 6b} \\$

$\\ \twoheadrightarrow \quad\sf{60= 6b} \\$

$\\ \twoheadrightarrow \quad\sf{\cancel{\dfrac{60}{6}}=b} \\$

$\\ \twoheadrightarrow \quad\underline{\bf{10\; m = Width }} \\$

Now, finding the length. According to the question,

$\twoheadrightarrow \quad\sf{ \ell=(2b-5) \; m}$

$\twoheadrightarrow \quad\sf{ \ell=2(10)-5\; m}$

$\twoheadrightarrow \quad\sf{ \ell=20-5\; m}$

$\\ \twoheadrightarrow \quad\underline{\bf{15\; m = Length }} \\$

Therefore, length and breadth of the rectangle is 15 m and 10 m. 

7 0

3 years ago

Write the equation of the line in the slope-intercept form. M=4/5, y-intercept (0,1)

netineya [11]

Answer:

y=4/5x+1

Step-by-step explanation:

y=mx+b

m is the slope
b is the y-intercept

m= 4/5

b= 1 (0,1) y-value

Equation:

y=4/5x+1

8 0

3 years ago

123.5652 to the nearest thousand

ycow [4]

Answer:

Hi there!

The correct answer will be: 123.565

Step-by-step explanation:

Any time they ask you to round to the nearest thousand, it means there will be three digits behind the decimal

3 0

3 years ago

Read 2 more answers

The distance between two cities is 145 miles. A truck can cover this distance in 2.5 hours. The speed of a car is 1.5 times fast

iren2701 [21]

The truck can cover 145 miles in 2.5 hours, so the speed of the truck is
145÷2.5=58 miles per hour
the car's speed is 1.5 times faster: 58×1.5=87 miles per hour
suppose in x hours they will meet:
distance covered by truck in x hour: 58x
distance covered by car in x hour: 87x
total distance: 145 miles
58x+87x=145
x=1

8 0

3 years ago

Can someone help me with this?!

cupoosta [38]

Sub in the numbers
2(5)^2 - 4(5) + 5
=50 - 20 + 5
=30 + 5
=35

5 0

2 years ago