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3 years ago

Give a verbal description of the following absolute value function f(x) = 3 | x - 5 | + 4

Mathematics

1 answer:

lisov135 [29]3 years ago

7 0

Answer:

It is the distance of x from zero. Examples:The absolute value

of 5 is 5.

The absolute value of -10 is 10.

(Complex numbers) The absolute value of 4 + 3 is 5.

Step-by-step explanation:

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A team of scientist surveying a forest found that there were four oak trees for every 10 pine trees. If they counted 24 more pin

Ipatiy [6.2K]

Answer:

There are 16 Oak tree in the forest.

Step-by-step explanation:

Given: There are 4 Oak tree on every 10 pine trees.

There are total 24 more pine tree than Oak tree.

Using the ratio of trees to find the number of trees.

Lets assume there are total number of Oak tree be "x".

∴ Total number of Pine trees will be $"x+24"$

We know the ratio of Oak to Pine tree is 4:10 or $\frac{4}{10}$

⇒ $\frac{x}{x+24} = \frac{4}{10}$

Multiplying both side by $x+24$

⇒ $x= \frac{4(x+24)}{10}$

Using distributive property of multiplication, distributing 4 with x and 24.

⇒ $x= \frac{4x+96}{10}$

Multiplying both side by 10

⇒ $10x= 4x+96$

subtracting both side by 4x

⇒ $6x= 96$

dividing both side by 6

⇒ $x= \frac{96}{6}$

∴ $x= 16$

Hence, There are 16 Oak trees in the forest.

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3 years ago

Jacob has $38 to spend on a field trip to the state museum. He spends $12 on admission to the museum. In the souvenir store he f

netineya [11]

Answer:

the cap and the pic EACH cost $13

Step-by-step explanation:

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3 years ago

HELPPPP ORDER THE NUMBERS FROM LEAST TO GREATEST <br> -3.5, √20, negative √19, 4.9, 3/2

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Answer:

$\sqrt{-19} , -3.5, 3/2, \sqrt{20} , 4.9$

Negative numbers go first, the greater the number, the smaller the number.

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2 years ago

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Which of the binomials below is a factor of this trinominal x^2-10x-39

Ksenya-84 [330]

Answer:

Step-by-step explanation:

To factorise the quadratic

Consider the factors of the constant term (- 39) which sum to give the coefficient of the x- term (- 10)

The factors are - 13 and + 3, since

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x² - 10x - 39 = (x - 13)(x + 3) ← in factored form

x - 13 is a factor → C

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3 years ago

Debra pumped 2 gallons of water into her pool each minute for 10 minutes. Whag was ths total change in the amount of water in th

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20 gallons of water in the pool

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