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3 years ago

Darius solved the equation 5 ⋅ d = 15 . his work is shown.

Mathematics

1 answer:

Dafna11 [192]3 years ago

8 0

Answer:

He multiplied both sides by 5.

He should have divided instead.

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Use the graph below to answer the question that follows:

Alborosie

Answer:

Step-by-step explanation:

x 1 = π , x 2 = 3 π/ 2

y 1 = - 1, y 2 = 2

The Rate of change = ( y 2 - y 1) / ( x 2 - x 1 )=

= [2 -( -1 )] : ( 3 π /2 - π ) = 3 : π/2 = 6 / π <em>≈ 1.91 </em>

8 0

2 years ago

One root of a third degree polynomial function f(x) is -5 + 2i. Which statement describes the number and nature of all

Sauron [17]

Answer:

f(x) has two imaginary roots and one real root.

Step-by-step explanation:

Complex roots:

I a complex number $a + bi$ is a root of a polynomial, it's conjugate $a - bi$ is also a root.

One root of a third degree polynomial function f(x) is -5 + 2i.

This means that -5 - 2i is another root of the polynomial, and thus, 2 of the roots are complex.

Third degree, so it has three roots, which means that the third root is real(not possible to have a complex root without it's conjugate), and thus, the correct answer is:

f(x) has two imaginary roots and one real root.

7 0

3 years ago

Write an equation for the problem and then solve.

AVprozaik [17]

Answer:

first rectangle: 18 by 9
second rectangle 21 by 6
x = 9

Step-by-step explanation:

The perimeter in each case is double the sum of the side dimensions. Since the perimeters are equal, the sum of side dimensions will be equal:

2x +x = (x +12) +(x -3)

3x = 2x +9 . . . . . . . . collect terms

x = 9 . . . . . . . . . . . . . subtract 2x

Given this value of x, the dimensions of the first rectangle are ...

{2x, x} = {2·9, 9} = {18, 9}

And the dimensions of the second rectangle are ...

{x+12, x-3} = {9+12, 9-3} = {21, 6}

8 0

4 years ago

A large bottle of Dragon Breath mouthwash costs $5.00 before tax and $5.30 after tax. What is the percentage of the tax?

stellarik [79]

Pretty sure it's a 6% sales tax.

7 0

3 years ago

Read 2 more answers

A man is in a boat 2 miles from the nearest point on the coast. He is to go to point Q, located 3 miles down the coast and 1 mil

mafiozo [28]

Answer:

The answer is "0.45385".

Step-by-step explanation:

The time is taken to reach the coast $= \frac{\sqrt{(2^2 + x^2)}}{4}$

The time is taken to reach Q after reaching the coast $= \frac{\sqrt{(1 + (3-x)^2)}}{4}$

Total time, $T= \frac{\sqrt{(1 + (3-x)^2)}}{4}+ \frac{\sqrt{(1 + (3-x)^2)}}{4}$

This has to be minimum,

$\to \frac{dt}{dx} = 0$

$\to \frac{\sqrt{(2^2 + x^2)}}{2} + \frac{\sqrt{1 + (3-x)^2}}{3}\\\\ \frac{x}{4}\sqrt{(4+x^2)} + \frac{(x-3)}{(4\sqrt{(x^2-6x+10)}} = 0\\\\\frac{x^2}{16} \times (4+x^2) = \frac{(x-3)^2}{16 \times (x^2-6x+10)}\\\\x^2(4+x^2) = \frac{(x-3)^2}{(x^2-6x+10)}\\\\4x^2+x^4 = \frac{ x^2+9-6x}{(x^2-6x+10)}\\\\ 4x^2+x^4(x^2-6x+10) = x^2+9-6x\\\\4x^4-24x^3+40x^2+x^6-6x^5+10x^4= x^2+9-6x\\\\x^6-6x^5+ 14x^4-24x^3+39x^2+6x-9=0\\\\$

x=0.45385

6 0

3 years ago