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3 years ago

It’s almost time for Prom! You want to book a limo and are trying to figure out how much it will cost. The limo company charges

a flat rate of $200 plus $350 for each hour of use.
Write an equation that represents the total cost, y, of renting a limo for x hours.

Mathematics

1 answer:

Sati [7]3 years ago

7 0

$y = (200 + 350) \times x = 550 \times x$

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Replace ∗ with a monomial so that the derived equality will be an identity: (15y + ∗)2 = 225y2+12x3y+0.16x6

kobusy [5.1K]

Answer:

∗ = 0.4x³

Step-by-step explanation:

(15y + ∗)² = 225y²+12x³y+0.16x⁶

Note:

225y² = 15y * 15y = (15y)²

12x³y = 2 * 15y * 0.4x³

0.16x⁶ = 0.4x³ * 0.4x³ = (0.4x³)²

So, by factoring the right hand side:

225y²+12x³y+0.16x⁶ = (15y + 0.4x³)²

By comparing the left hand side with (15y + 0.4x³)²

So, ∗ should be replaced with the monomial 0.4x³

6 0

3 years ago

Which is the additive inverse of the complex number -8+3i?

lawyer [7]

The additive inverse of a complex z is a complex number $-z,$ so that

$\mathsf{z+(-z)=-z+z=0+0i=0}$

Finding $-z:$

$\mathsf{z=-8+3i}\\\\\\ \mathsf{z+(-z)=0+0i}\\\\\ \mathsf{-8+3i+(-z)=0+0i}\\\\ \mathsf{-z=0+0i+8-3i}\\\\ \mathsf{-z=(0+8)+(0i-3i)}\\\\ \boxed{\begin{array}{c}\mathsf{-z=8-3i} \end{array}}\qquad\checkmark$

If you're having problems understanding this answer, try seeing it through your browser: brainly.com/question/2159647

I hope this helps.

Tags: complex number additive inverse opposite algebra

3 0

3 years ago

jenny is comparing the cost of two packages of socks. one package has 8 pairs for $12. Another package has 3 for $6. Are the rat

Ainat [17]

In order to solve this we need to make on part of both statements equal.

Since 12 is divisible by 6 lets do that.

Multiply everything in the second package by 2.

It then becomes 6 pairs for $12.

So now have have 6 or 8 pairs for $12.

You are getting a different amount for the same price therefore they are not proportional.

5 0

3 years ago

Lines/and n intersect, as shown below.

Inessa05 [86]

Answer:

.................. ........

5 0

3 years ago

13x-11 +18x15+ 4x+1=180°

BARSIC [14]

Answer:

x = - 80/17, or x = - 4 $\frac{12}{17}$

Step-by-step explanation:

13x-11 +18×15+ 4x+1=180°

<=> (13x + 4x) + (18×15+ 1 - 11)=180°

<=> 17x + 260 =180

<=> 17x = 180 - 260

<=> 17x = - 80

<=> x = - 80/17

<=> x = - 4 $\frac{12}{17}$

6 0

3 years ago