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3 years ago

How do I complete the square?

Mathematics

1 answer:

zhannawk [14.2K]3 years ago

6 0

You have to set them all equal to 0 and then factor it out.

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Y is inversely proportional to x.

Inessa [10]

Answer:

1. $xy = 63$

2. $y = 3$

Step-by-step explanation:

Given

Variation: inverse Proportion

y = 7, x = 9

Required

- Write an equation connecting y and x

- Find y when x = 21

Given that thee variation is inversely proportional;

This implies that

$y\ \alpha\ \frac{1}{x}$

Convert variation to equation

$y\ = \frac{k}{x}$ ----------- Equation 1

Where k is the constant of variation

Substitute 7 for y and 9 for x in equation 1

$7 = \frac{k}{9}$

Multiply both sides by 9

$9 * 7 = 9 * \frac{k}{9}$

$63 = k$

Substitute 63 for k in equation 1

$y = \frac{63}{x}$

Multiply both sides by x

$x * y = \frac{63}{x} * x$

$xy = 63$

Hence, the equation connecting x and y is $xy = 63$

Solving for when x = 21

Substitute 21 for x in the above equation

$21 * y = 63$

Divide both sides by 21

$\frac{21 * y}{21} = \frac{63}{21}$

$y = 3$

4 0

3 years ago

By what percent will the fraction change if its numerator is increased by 25% and its denominator is increased by 20%

givi [52]

Answer: 4.7%

Step-by-step explanation:

3 0

3 years ago

Which expression can be used to check the answer to 56 divided by (negative 14) = n?

allochka39001 [22]

D because n= -14 and were dividing 56

3 0

2 years ago

Which statement best describes the graph of this polynomial function f(x)=x^4+x^3-2x^2

jenyasd209 [6]

Answer:

See below description.

Step-by-step explanation:

The function $f(x) = x^4+x^3-2x^2$ has the following characteristics:

Factors: $x^2(x+2)(x-1)$
Zeros/roots: x=0, x=-2, amd x=1
Positive leading coefficient
Graph starts up, curves down through -2 on the x-axis and back up to 0 where it touches and curves down and back up again again. It comes down back through 1 and crosses.
Its graph s the shape of a W.
It has minimum values at -2.83 and -0.397

3 0

2 years ago

Can someone help me?It's urgent and thank you!

lidiya [134]

Answer:

y = square root x2 - 5

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers