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4 years ago

Please help ASAP!!! Will give Brain list:)

Mathematics

1 answer:

Ludmilka [50]4 years ago

8 0

Answer:

a. Constant of proportionality, k = 1/45

b. hours/miles

c. t = d/45

Step-by-step explanation:

From the table given, we see that time (hours) increases as distance (miles) increases. We say that time, t varies directly as distance, d

And it is written mathematically as

t α d

t = kd..... (1)

to use the constant of proportionality, k to write a unit rate for the data in the table.

From equation (1), we make k subject of formula

k = t/d

t is in hours and d is in miles, so we can write that

k = hours/miles.

hours/miles is the unit rate for the data

when t = 2, d = 90.

We substitute these values for t = 2, d = 90 into the equation labelled (1)

t = kd

2 = k90

We divide both sides of the equation by the coefficient of k

2/90 = 90k/90

k = 1/45

k = 1/45 is the constant of proportionality.

We then substitute this value of k = 1/45 into equation (1)

t = kd

t = d/45

t = d/45 is the equation to represent the relationship between time t and distance d

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3 years ago

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3 years ago

Answer the precalculus question from khan academy pls! I will give brainliest and 5 stars. 30 points.

rosijanka [135]

The value of f(h(2)) =2 and h(f(16))= 14

<h3>What is function?</h3>

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input . Mapping or transformation is used to denote a function in math. These functions are usually denoted by letters . The domain is defined as the set of all the values that the function can input while it can be defined. The range is all the values that come out as the output of the function involved.

given:

f(x)= √x-1 , h(x)= x² + 5

Now,

f(h(2))= f( (2)² +5 )

=f(4+5)

=f(9)

=√9-1

= 3-1

h(f(16)) = h( √16-1)

=h( 4-1)

=h(3)

=3² + 5

=9+5

=14

Learn more about function here:

brainly.com/question/12431044

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2 years ago

Which function represents g(x), a reflection of f(x) = 1/2(3)^x across the y-axis

aleksley [76]

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There's only 1 answer left and that is
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3 years ago

Which pair of lines is parallel? A. y=4x+1 and y+4=5 B. y=-2+x and 2y-2x=-2 C. y=1/4x + 2 and y-2=1/2x D. y=1/5x+1 and 5y+x= 10

sdas [7]

Answer:

B. y=-2+x and 2y-2x=-2

Step-by-step explanation:

Two lines are parallel if they have the same slope.

The equation 0of a line is tipically written as y=mx + b, where 'm' represents the slope and 'b' the y-intercept.

Let's evaluate each of the options:

A. y=4x+1 and y+4x=5

Writing the equations in the slope-intercept form, we get:

y=4x+1 → m=4

y=5-4x → m=-4

Given that they have different slopes, they are not parallel.

B. y=-2+x and 2y-2x=-2

Writing the equations in the slope-intercept form, we get:

y=-2+x → m=1

y=-1 + x → m=1

Given that the equations have the same slope, they are parallel.

C. y=1/4x + 2 and y-2=1/2x

Writing the equations in the slope-intercept form, we get:

y=1/4x + 2 → m=1/4

y=1/2x+2 → m=1/2

Given that they have different slopes, they are not parallel.

D. y=1/5x+1 and 5y+x= 10

Writing the equations in the slope-intercept form, we get:

y=1/5x+1 → m=1/5

5y+x= 10 → y=2 - 1/5x → m=-1/5

Given that they have different slopes, they are not parallel.

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3 years ago