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3 years ago

Write a function using function notation to describe each situation. Find a reasonable domain and range for each function.

Mathematics

1 answer:

sergejj [24]3 years ago

5 0

F(t)= 7.00 x t + 55 A reasonable domain is (0,1,2,3). The range is ($55,$62,$69,$76)

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Please help, show all work, asappp

VikaD [51]

QUESTION 1

We want to find the slope through the points (12,-18), (11,12).

We use the slope formula,

$m = \frac{y_2-y_1} {x _2-x_1}$

We substitute the points to get,

$m = \frac{12 - - 18}{11 - 12}$

$m = \frac{30}{ - 1} = - 30$

The slope is -30.

QUESTION 2.

We want to find the slope through the points (-18, -20), (-18, -15).

We use the slope formula again to obtain,

$m = \frac{ - 15 - - 20}{ - 18 - - 18}$

We simplify to get;

$m = \frac{5}{0}$

Division by zero means the slope is not defined.

QUESTION 3

The given equation is 4x + y = 5.

At x-intercept, y=0.

We put y=0 into the equation to get,

$4x + 0 = 5$

$4x = 5$

$x = \frac{5}{4}$

The x-intercept is

$( \frac{5}{4} , 0)$

To find the y-intercept,we substitute x=0 into the equation to get,

$4(0) + y = 5$

$y = 5$

The y-intercept is (0,5)

QUESTION 4.

The given equation is

$y = 5x - 4$

To find the y-intercept put x=0 into the equation.

$y = 5(0) - 4$

$y = - 4$

(0,-4)

To find the x-intercept, put y=0,

$0 = 5x - 4$

$4 = 5x$

$\frac{4}{5} = x$

$( \frac{4}{5} ,0)$

QUESTION 5

To find the equation of a line given the slope m, and a point

$(x_1,y_1)$

we use the formula,

$y-y_1=m(x-x_1)$

The given line has slope zero and passes through

(3,4)

The equation is

$y - 4 = 0(x - 3)$

$y - 4 = 0$

$y = 4$

Question 6

The given equation is

$x = 1$

This is the equation of a line that is parallel to the y-axis.

The slope of all lines parallel to the x-axis is undefined.

The slope of x=1 is not defined.

7 0

4 years ago

USE FOR MASTERY Number of attempts allowed: 1 Write two rational numbers a/b and c/d, where a, b, c, and d are the digits 2, 3,

iogann1982 [59]

Answer:

We want to craft:

a/b and c/d

where a, b, c and d can be 2, 3, 4 and 5.

Such that the distance in the number line between these two numbers is maximized.

Then we want one number to be really small, and the other to be really large.

Remember two things:

for numbers like a/b.

if a is smaller than b, then a/b is smaller than 1.

Now, if a is larger than b, then a/b is larger than 1.

And two things,

1/10 = 0.1

10/1 = 10

So when the numerator is larger, the distance displaced in the number line is larger.

Then we want to have:

a number where the numerator is the largest option and the denominator is the smallest option:

a/b = 5/2

And the two remaining options in such way that the numerator is smaller than the denominator:

c/d = 3/4.

The distance between these two numbers is:

D = 5/2 - 3/4 = 10/4 - 3/4 = 7/4.

5 0

3 years ago

Find the partial products then add 108 x73 _____

jarptica [38.1K]

Answer:

7,884

Step-by-step explanation:

6 0

3 years ago

The length of a rectangle is 3 more than twice the width. Determine the dimensions that will give a total area of 27.

andrey2020 [161]

9 because 27 divided by 3 is 9

5 0

3 years ago

The product of two integers is 84. If one integer is (-12), find the other.

Papessa [141]

Answer:

-7

Step-by-step explanation:

-12x = 84

/-12 /-12

x = -7

8 0

3 years ago

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