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4 years ago

A polynomial function can be written as (x - 2)(x - 3)(x + 5). What are the x-intercepts of the

Mathematics

1 answer:

Evgesh-ka [11]4 years ago

4 0

Answer:

a) : (2,0), (3,0), (-5,0)

Step-by-step explanation:

(x - 2)(x - 3)(x + 5)=0 (y=0)

x-2=0, x-3=0, x+5=0

x=2, x=3, x=-5

x-intercepts: (2,0), (3,0), (-5,0)

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A drink is made by mixing 650 ml of water with 150 ml of fruit juice.

Luda [366]

<h2>○=> <u>Correct answer</u> :</h2>

$\boxed{\color{hotpink}\tt18.75\%}$ of the drink is fruit juice

<h3>○=> <u>Steps to derive correct answer</u> :</h3>

Quantity of water in a drink = 650 ml

Quantity of fruit juice in a drink = 150 ml

Total quantity of both items in the drink :

$=\tt 650 + 150$

$\color{plum}=\tt 800 \: ml$

Thus, the total quantity of both items in the drink = 800 ml

Let the percentage of of fruit juice in the drink be x%.

Which means :

$= \tt\frac{x}{100} \times 800 = 150$

$= \tt \frac{x \times 800}{100} = 150$

$=\tt \frac{800x}{100} = 150$

$=\tt 8x = 150$

$=\tt x = \frac{150}{8}$

$\hookrightarrow\color{plum} \bold{x = 18.75\%}$

Then, the percentage of water in the drink :

$= \tt100 - 18.75$

$\color{plum}= \tt81.25\%$

Thus, the percentage of water in the drink = 81.25%

<h3>○=> <u>Therefore</u> :</h3>

▪︎Percentage of fruit juice in the drink = 18.75%

▪︎Percentage of water in the drink = 81.75%

8 0

3 years ago

Read 2 more answers

Rob is saving to buy a new MP3 player. For every $15 he earns babysitting, he saves $9. On Saturday, Rob earned $60 babysitting.

alexandr402 [8]

$60 ÷ $15 = 4
$9 × 4 = $36
he saved $36 when he earned $60

8 0

3 years ago

Two more than the product of a number and 6 is equal to 5.

8090 [49]

Answer:

b = 1/2

Step-by-step explanation:

6x + 2 = 5

6x = 3

x = 1/2

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3 years ago

Is 16/24 equivalent to 2/3<br><br>is 10/16 equivalent to ⅔

Blizzard [7]

Answer:

Yes for the first, no for the second

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3 years ago

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If f(x) = 7x-5 and g(x)=2x-4, find f/g

Sergio039 [100]

Answer:

7x - 5 7x - 5

(f/g) = ----------------- = ----------------

2x - 4 2(x - 2)

Step-by-step explanation:

Given f(x) = 7x-5 and g(x)=2x-4, we form the quotient f/g as follows:

7x - 5 7x - 5

(f/g) = ----------------- = ----------------

2x - 4 2(x - 2)

Note that this is not defined for x - 2, due to division by zero.

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3 years ago