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3 years ago

Rational equations help.

Mathematics

1 answer:

omeli [17]3 years ago

8 0

Answer: first option

Step-by-step explanation:

Direct variation equation has the following form:

$y=kx$

Where "k" is the constant of variation.

In direct variation when the variable "x" increases, the variable "y" increases by the same factor and when the variable "x" decreases, the variable "y" decreases by the same factor.

Inverse variation equation has the form:

$y=\frac{k}{x}$

Where "k" is the constant of variation.

In inverse variation when the variable "x" increases, the variable "y" decreases by the same factor and when and when the variable "x" decreases, the variable "y" increases by the same factor.

Given the equation:

$r=\frac{l}{pt}$

You can observe that "r" varies directly with "l" and inversely with "p" and "t"

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I need help or I will faill this

kari74 [83]

Answer:

-4x2 + 3x - 225

———————————————

Step-by-step explanation:

Step 1 :

Simplify —

Equation at the end of step 1 :

(x - (— • x2)) - 75

Step 2 :

Equation at the end of step 2 :

4x2

(x - ———) - 75

Step 3 :

Rewriting the whole as an Equivalent Fraction :

3.1 Subtracting a fraction from a whole

Rewrite the whole as a fraction using 3 as the denominator :

x x • 3

x = — = —————

1 3

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

3.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

x • 3 - (4x2) 3x - 4x2

————————————— = ————————

3 3

Equation at the end of step 3 :

(3x - 4x2)

—————————— - 75

Step 4 :

Rewriting the whole as an Equivalent Fraction :

4.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 3 as the denominator :

75 75 • 3

75 = —— = ——————

1 3

Step 5 :

Pulling out like terms :

5.1 Pull out like factors :

3x - 4x2 = -x • (4x - 3)

Adding fractions that have a common denominator :

5.2 Adding up the two equivalent fractions

-x • (4x-3) - (75 • 3) -4x2 + 3x - 225

—————————————————————— = ———————————————

3 3

Step 6 :

Pulling out like terms :

6.1 Pull out like factors :

-4x2 + 3x - 225 = -1 • (4x2 - 3x + 225)

Trying to factor by splitting the middle term

6.2 Factoring 4x2 - 3x + 225

The first term is, 4x2 its coefficient is 4 .

The middle term is, -3x its coefficient is -3 .

The last term, "the constant", is +225

Step-1 : Multiply the coefficient of the first term by the constant 4 • 225 = 900

Step-2 : Find two factors of 900 whose sum equals the coefficient of the middle term, which is -3 .

-900 + -1 = -901

-450 + -2 = -452

-300 + -3 = -303

-225 + -4 = -229

-180 + -5 = -185

-150 + -6 = -156

For tidiness, printing of 48 lines which failed to find two such factors, was suppressed

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Final result :

-4x2 + 3x - 225

———————————————

7 0

3 years ago

Find the difference in length between a walking stick and a bumblebee PLS HELP HURRY

Tanya [424]

Difference between the lengths of walking stick and lengths of bumble bee is $3\frac{4}{8}$ inch.

Solution:

Given data represents the length of the insects.

Length of the walking stick = 4 in

Length of the bumble bee = $\frac{5}{8}$ in

Difference between their length

$$=4-\frac{5}{8}$

$$=\frac{4}{1} -\frac{5}{8}$

To make the denominator same, multiply and divide the first term by 8.

$$=\frac{32}{8} -\frac{5}{8}$

$$=\frac{32-5}{8}$

$$=\frac{27}{8}$

Now, change improper fraction into mixed fraction, we get

$$=3\frac{4}{8}$

Difference between the lengths of walking stick and lengths of bumble bee is $3\frac{4}{8}$ inch.

5 0

3 years ago

Jade has a budget of $200

stealth61 [152]

And? It’s there a full question?

8 0

3 years ago

Plzzz help for brianly

Temka [501]

Answer:

Add up the area of all the sides

Step-by-step explanation:

Surface area is the shell of a 3d shape, not the volume so you add the outside of the shape.

Hope this helps! :)

4 0

3 years ago

A. Is this mapping diagram a function? Why or why not?

nikitadnepr [17]

Answer:

40--C A ---is not[figure it out in your own words,your teacher might suspect something] and B---times 40

Step-by-step explanation:

b--40+40=80 80+40=120 and 120+40=160 A=subtract 40 from all the other answers such as 40-160=120 40-120=80 and 40-80=40

5 0

3 years ago