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2 years ago

Which functions have an additive rate of change of 3? Select two options.

Mathematics

1 answer:

Aleonysh [2.5K]2 years ago

6 0

Answer:

The functions have an additive rate of change of 3 is 1/3

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3. if kx² + 2x + k = -kx have equal roots, find the values of k.<br>

crimeas [40]

Answer:

k = - $\frac{2}{3}$ , k = 2

Step-by-step explanation:

Using the discriminant Δ = b² - 4ac

The condition for equal roots is b² - 4ac = 0

Given

kx² + 2x + k = - kx ( add kx to both sides )

kx² + 2x + kx + k = 0 , that is

kx² + (2 + k)x + k = 0 ← in standard form

with a = k, b = 2 + k and c = k , thus

(2 + k)² - 4k² = 0 ← expand and simplify left side

4 + 4k + k² - 4k² = 0

- 3k² + 4k + 4 = 0 ( multiply through by - 1 )

3k² - 4k - 4 = 0 ← in standard form

(3k + 2)(k - 2) = 0 ← in factored form

Equate each factor to zero and solve for k

3k + 2 = 0 ⇒ 3k = - 2 ⇒ k = - $\frac{2}{3}$

k - 2 = 0 ⇒ k = 2

5 0

3 years ago

What is an statistics

Vlad [161]

Hello There!

Statistics is a tool used to help people process, summarize, analyze and interpret data for making better decisions.

It helps us with future events if we know what has happened in past.

Helps us make better decisions.

The better we know about the future of an outcome, the more possibility we have to work around it.

7 0

2 years ago

A school is preparing a trip for 400 students. The company who is providing the transportation has 10 buses of 50 seats each and

Naya [18.7K]

<h2>The number of small buses used = 5</h2><h2>The number of big buses used = 4</h2>

Step-by-step explanation:

Let us assume the total number of small buses needed = x

The capacity of 1 small bus = 40

So, the capacity of x buses = 40(x) = 40 x

Let us assume the total number of big buses needed = y

The capacity of 1 big bus = 50

So, the capacity of y buses = 50(y) = 50 y

Also, the total students travelling = 400

So, the number of students traveling by (Small bus + Big bus) = 400

⇒ 40 x + 50 y = 400 ..... (1)

Also, the total number of drivers available = 9

⇒ x + y = 9 ..... (2)

Also, x ≤ 8, y ≤ 10

Now, solving both equations, we get:

40 x + 50 y = 400 ..... (1)

x + y = 9 ⇒ y = (9-x) put in (1)

40 x + 50 y = 400 ⇒ 40 x + 50 (9-x) = 400

or, 40 x + 450 - 50 x = 400

or, - 10 x =- 50

or, x = 5 ⇒ y = (9-x) = 9- 5 = 4

Hence the number of small buses used = 5

The number of big buses used = 4

8 0

3 years ago

100 point will mark brainliest to first answer only

dimaraw [331]

Answer: no yes

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

4x + 15 - 3x + 10<br> simpllify the expression<br> pleas give answer and how to do it

dexar [7]

Answer:

x + 25

Step-by-step explanation:

First, group terms that are similar:

4x - 3x + 15 + 10

Next subtract the similar terms:

4x - 3x = 1x

Simplify 1x:

1x = x

Add the other numbers:

15 + 10 = 25

Final product:

x + 25

8 0

2 years ago