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3 years ago

Solve the quadratic function by completing the square. What are the missing pieces in the steps?

Mathematics

1 answer:

taurus [48]3 years ago

8 0

Answer:

Step-by-step explanation:

The solutions are x=\frac{1+\sqrt{7}}{2} and x=\frac{1-\sqrt{7}}{2}

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(01.02 HC)

Phoenix [80]

By applying radical, power and rational properties we have the following results after simplifying expressions:

$x^{\frac{3}{4} }$
x
$x^{\frac{11}{10} }$
x

<h3>How to reduce radical and rational expressions into a single power expression with rational exponent</h3>

In this question we need to simplify four given expressions by using the following radical and power properties:

$\sqrt[n]{x} = x^{\frac{1}{n} }$ (1)
$x^{m+n} = x^{m}\cdot x^{n}$ (2)
$x^{m-n} = \frac{x^{m}}{x^{n}}$ (3)
$(x^{m})^{n} = x^{m\cdot n}$ (4)

Now we proceed to simplify each of the four expressions:

$\sqrt[4]{x^{3}} = x^{3/4}$
$\frac{1}{x^{-1}} = (x^{-1})^{-1} = x$
$\sqrt[10]{x^{5}\cdot x^{4}\cdot x^{2}} = \sqrt[10]{x^{11}} = x^{\frac{11}{10} }$
$x^{\frac{1}{3} }\cdot x^{\frac{1}{3} }\cdot x^{\frac{1}{3} } = x$

To learn more on power functions: brainly.com/question/18719083

#SPJ1

3 0

3 years ago

Sue saves $5 a week. The equation m=3.50w models the amount of money, m, Bill has saved after w weeks. At the end of 36 weeks, h

ch4aika [34]

Sue has saved $54 more than Bill

Step-by-step explanation:

Given

Sue saves $5 a week. so after 36 weeks he will have

= 36 * 5

= $180

Bill's saving is modeled by

m = 3.5w where w is the number of weeks

After 36 weeks,

$m = 3.5 * 36\\=126$

The difference between savings of Bill and Sue

$= 180-126\\=54$

Hence,

Sue has saved $54 more than Bill

Keywords: Equations, variables

Learn more about linear equations at:

#LearnwithBrainly

3 0

3 years ago

9. Find the volume of the sphere if the radius is 12.4 in. Round to the nearest tenth.

d1i1m1o1n [39]

Answer:

V=7982.4 in

Step-by-step explanation:

V=4/3pi*r^3

V=4/3pi*12.4^3

V=4/3pi*1906.62

V=7626.48/3pi

V=2542.16pi

V=2542.16*3.14

V=7982.4

6 0

3 years ago

The odds against rolling a number greater than 2 are

Nat2105 [25]

Is that a dice your talking about?

3 0

3 years ago

Indicate in standard form the equation of the line through the given points. K(6, 4), L(-6, 4)

azamat

y=4

the values of x changes while the y doesn't so it's y=4

7 0

4 years ago

Read 2 more answers