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3 years ago

The table given are for the linear functions f(x) and g(x) what is the input value for which f(x) = g(x) is true ?

Mathematics

2 answers:

Nataly [62]3 years ago

8 0

Answer: The tables given are for the linear functions f(x) and g(x). What is the input value for which f(x) = g(x) is true?

x=-1

Molodets [167]3 years ago

4 0

Do you have trouble comparing the values in one table to those in the other?

f(x) = 3 for all values of x, so you only need to find the entry in the g(x) table where g(x) = 3. The corresponding x-value is
.. x = -1

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The Scatter plot below shows the linear trend of the number of golf carts a company sold the month of February and a line of bes

Andrei [34K]

Answer:

Part A) $y=-5.625x+90$

Part B) see the explanation

Step-by-step explanation:

Part A) Write a function that models the number of golf carts sold as a function of the number of days in the month of February

Let

x ----> the number of days

y ----> the number of golf carts sold

we know that

The linear equation in slope intercept form is equal to

$y=mx+b$

where

m is the slope or unit rate

b is the y-intercept or initial value

In this problem

The y-intercept is the point (0,90)

$b=90$

Find the slope m

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

take two points from the graph

(0,90) and (16,0)

substitute the values in the formula

$m=\frac{0-90}{16-0}$

$m=\frac{-90}{16}$

simplify

$m=-\frac{45}{8}$ ---> is negative because is a decreasing function

therefore

The linear equation is equal to

$y=-\frac{45}{8}x+90$

Part B) What is the meaning of the slope as a rate of change for this line of best fit

The slope is $m=-\frac{45}{8}\ golf\ carts\ sold/days$

That means ----> every 8 days 45 less cars are sold

4 0

3 years ago

Antonio orders an iPhone case off of Amazon for $27. He has to pay an additional 3% for shipping and handling. How much will his

Wewaii [24]

Answer:

We conclude that total cost/bill will be: $27.81

Step-by-step explanation:

Given

The cost of an iPhone case = $27

Additional expense = 3% = 3/100 = 0.03

To determine

Total bill = ?

The expense amount can be calculated by multiplying the cost of an iPhone case by the additional expense

i.e.

Expense Amount = cost of an iPhone case × additional expense

= 27 × 0.03

= $0.81

The total cost is calculated by adding the expense amount and the original cost of an iPhone case.

i.e.

Total cost/bill = Expense Amount + cost of an iPhone case

= $0.81 + $27

= $27.81

Therefore, we conclude that total cost/bill will be: $27.81

6 0

3 years ago

A box is 90 cm long. Which of these is closest to the length of this box in feet?

aliya0001 [1]

Answer:

D. 2.96

Step-by-step explanation:

1 foot is 30.48 cm

8 0

4 years ago

if a computers hard drive is 640000000 bytes in size. if each kilobyte is 1024 bytes. how many kilobytes are in the computers pr

Tomtit [17]

625,000 kilobytes might be it

3 0

4 years ago

Christina plotted the shape of her garden on graph paper. she estimates that she will get about 15 carrots from each square unit

LekaFEV [45]

the shape of christina’s garden is a rectangle and trapezoid. The rectangle has a dimensions of 4 units by 2 units. The trapezoid upper base is 8 units and the lower base is 4 units and the height is 2 units

Area of the garden = area rectangle + area trapezoid

A = (LW) + 0.5( base1 + base2)(h)

A = ( 4 x 2) + 0.5 ( 8 + 4) (2)

A = 20 sq units

Number of carrots = 20 sq units x 15 carrots/ sq units

<span>= 300 carrots</span>

7 0

3 years ago

Read 2 more answers