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4 years ago

What are the excluded values? 1.)0 and 15 2.)3 and -5 3.)-3 and 5

Mathematics

1 answer:

Alenkinab [10]4 years ago

3 0

Denominator of a rational expression cannot be 0 because if it will be 0 then the expression will be undefined. Hence, we need to exclude the values of x at which the denominator will be 0. So,

x²-2x-15=0

We can solve this equation by factoring the trinomial on the left side of the equation.

For that we need to find the two multiples of the constant term -15 so that their addition will result the coefficient of -2.

So, -15= -5*3 and -5+3=-2.

So, we can replace -2x with -5x+3x in the above equation.

x²-5x+3x-15=0

(x²-5x)+(3x-15)=0 Making the group of two terms.

x(x - 5) + 3(x - 5) =0 Taking out the common factor from each terms.

(x - 5) (x + 3) =0 Taking out the common factor (x-5) from both the terms.

So, x - 5 =0 and x + 3 =0 Set up each factor equal to 0.

So, x=5 and x=-3.

Hence, the excluded values are 3) -3 and 5.

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Work out the percentage change to 2 decimal places when a price of £8.95 is increased to £10.

kicyunya [14]

Answer:

12% increase

Step-by-step explanation:

Divide the difference between the two prices by the original price:

1.05/8.95

= 0.12

So, the percent change is 12%

6 0

3 years ago

Many doctors rely on the use of intravenous medication administration in order to achieve an immediate response of a particular

rewona [7]

The domain of the function is 0 ≤ t ≤ 3 and the greatest concentration of the medication is 2mg/L

<h3>The domain of the function</h3>

The equation of the function is given as:

$C(t) = \frac{-18t^2 + 54t}{t^2 + 7t + 10}$

Time can be 0 or greater but cannot be negative.

So, the domain of the function includes t ≥ 0

Set the function to 0 to determine the maximum value of t.

$\frac{-18t^2 + 54t}{t^2 + 7t + 10} = 0$

Cross multiply

$-18t^2 + 54t = 0$

Factor out -18t

-18t(t - 3) = 0

Divide both sides by -18t

t - 3 = 0

Add 3 to both sides

t = 3

This means that the maximum value of t is 3

Hence, the domain of the function is 0 ≤ t ≤ 3

<h3>The greatest concentration of the medication</h3>

From the graph of the function (see attachment), we have the maximum value to be;

C(t) = 2

Hence, the greatest concentration of the medication is 2mg/L

Read more about functions at:

brainly.com/question/1214333

#SPJ1

8 0

2 years ago

(1) a) 5270 cl= ? dal

Ivanshal [37]

Answer:

Check below

Step-by-step explanation:

1) These metric volume units can be easily converted by dividing or multiplying by 10 and its multiple. Like this: each step up on the ladder multiply by 10. Each step down divide by 10

$a)5270 \:cl=527\:dl\\b)kl=5.3 \times 10=530 hl\\c)58000ml=5.8 dal =(\frac{58000}{10000})\\d)0.39 dal=3.9 l\\e)7.8 dal=780 dl\\f)57.2 ml=5.72 cl$ .

2) When it comes to area, the "ladder scheme" remains valid but now we'll multiply or divide by

$10^3$

Bear in mind these useful relations:

$1litre =\frac{1}{10^3}m^{3}$

$1 cm^{3} =1 ml$

$a) 3.7 l=3700 cm^{3}\\b)29.6 dm^{3}\\29.6 dm^{3} \rightarrow 29.6\times10^{3} cm^3=29.6\times10^{3} ml = 29.6\times10^{2} cl \:or\:2960 cl\\c)8.1l=8100 cm^{3}\\d)5l=\frac{5}{10^{-3}} m^{3}\\e)5.2 cl=52ml=52 cm^{3}=52\times10^{3}=52000 \:mm^{3}\\f)375 ml=375 cm^{3}\\g) 1300 cm^{3}=1300 ml=13 dl\\h) 8.6 ml= 8.6 cm^{3}\times\: 10^{3}=8600 mm^{3}\\i) 51.8\times 10^{11} l \rightarrow 51.8\times 10^{-11}km^{3}$

6 0

3 years ago

PLEASE HELP! (WILL GIVE BRAINILEST ANSWER)

RoseWind [281]

A) we know, all the angles in a triangle is equal to 180
So, 35 + 52 + 3(x + 2) = 180
87 + 3x + 6 = 180
3x = 180 - 93
x = 87/3
x = 29

b) Now, Angle C = 3(x + 2)
C = 3(29 + 2)
C = 3(31)
C = 93

Hope this helps!

5 0

4 years ago

Gina will pay $14 for fabric at a crafting store. The tax rate is 8.5%. How much will she pay for her fabric including tax?

Gwar [14]

Answer:

$15.19

Step-by-step explanation:

8.5% = 0.085

0.085 x 14 = $1.19

1.19+14= $15.19

7 0

3 years ago