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1 year ago

I need help with this question please. Just fo first question ignore wording below. Only apart of a homework practice

Mathematics

1 answer:

Roman55 [17]1 year ago

3 0

Given the function:

f(x) = x³ + 3x² - 4x + 5

The graph of the function is (taken f:

According to the graph above, the maximum and minimum are 18.13 and 3.87, respectively

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Match the real-world problem to its constant of proportionality.

irakobra [83]

Answer:

a. $18.36 for 3 pizzas : k = 6.12

b. $4.17 for 3 pounds of bananas . k = 1.39

c. $16.48 for 4 pounds of potatoes . k = 4.12

d. 2 cups of flour to make 24 cookie . k = 12

Step-by-step explanation:

PROPORTIONALITY:

Two quantities x and y are said to proportional to each other

if for x ∝ y , x = y k.

Here, k is called the PROPORTIONALITY CONSTANT.

⇒ $x \propto y \implies k = \frac{x}{y}$

Now, for the given quantities:

a. $18.36 for 3 pizzas [box]

Here, $k = \frac{x}{y} = \frac{18.36}{3} = 6.12$

So, the proportionality constant is 6.12.

b. $4.17 for 3 pounds of bananas [box]

Here, $k = \frac{x}{y} = \frac{4.17}{3} = 1.39$

So, the proportionality constant is 1.39.

c. $16.48 for 4 pounds of potatoes [box]

Here, $k = \frac{x}{y} = \frac{16.48}{4} = 4.12$

So, the proportionality constant is 4.12.

d. 2 cups of flour to make 24 cookies

Here, $k = \frac{x}{y} = \frac{24}{2} = 12$

So, the proportionality constant is 12.

7 0

3 years ago

Last week, labron jogged for 2 1/4 miles. This week , he plants to jog 2 times as far as last week. How many miles does Lebron P

Shtirlitz [24]

Answer:

4.5 miles

Step-by-step explanation:

2 times as far as last week

last week was 2.25 miles

2* 2.25 = 4.5 miles

7 0

3 years ago

Read 2 more answers

Sam traveled 3/4 of a journey by bus. He jogged 1/2 of the remaining distance and walked the rest of the way. If he walked 800 f

Troyanec [42]

Let x = total distance he covered
3x/4 by bus
1/2 . x/4 = x/8 by jogging
the remaining distance = x/8 by walking
thus x/8 = 800ft
x = 8 . 800 = 6400ft

3 0

3 years ago

Willie and anjali each improved their yards by planting daylilies and ivy. They bought their supplies from the same store. Willi

Fiesta28 [93]

Answer:the cost of one day lily = $9 and cost of one pot of ivy = $2

Step-by-step explanation:

Step 1

let day lilies be rep as d

and ivy be represented as i

So that The expression for what Willie spent on 12 day lilies and 4 pots of ivy = $116 be

12 d+ 4i = 116 ---- equation 1

and for Anjali spending $60 on 6 day lilies and 3 pots of ivy be

6d+ 3i = $60------ equation 2

Step 2 --- Solving

12 d+ 4i = 116 ---- equation 1

6d+ 3i = $60------ equation 2

Multiply equation 2 by (2) and subtracting equation 1 from it

12d+ 6i= 120

--12 d+ 4i = 116

2 i= 4

i = 4/2 = 2

TO find d, putting the value of i = 2 in equation 1 and solving

12d+ 4(2) = 116

12d= 116-8

12d= 108

d= 108/12= 9

Therefore the cost of one day lily = $9 and cost of one pot of ivy = $2

5 0

3 years ago

Colin Sarah and Gordon share some sweets in the ratio 2:5:3 calling gets 26 sweets how many sweets are there at altogether toget

nikitadnepr [17]

Answer:

Collin: 26, Sarah: 65, Gordon: 39, so 130 altogether

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers