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3 years ago

11

ASSIGNMENT: Show that the correct solution to the following system of equations is (-2, 0). Upload a photo of your work or neatl

y draw it in the box.
y = 2x + 4
y = x + 2

1 answer:

ki77a [65]3 years ago

5 0

Answer:

Step-by-step explanation:

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Please help if right I will give BRAINLIEST and 25 points

Allushta [10]

The total area is 448 in^2. Each triangle is 56 in^2 and each parallelogram is 140 in^2

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3 years ago

A boat that sold for $12,500 had a sales tax of $562.50. How much is the tax on a boat that sells for $9,550?

Degger [83]

Answer:

$429.75

Step-by-step explanation:

First, find the tax rate on the sale of the boat: Let r represent that rate. Then,

$12,500r = $562.50. Solving for r, we get r = $562.50 / $12,500 = 0.045

The tax rate is 0.045, or 4.5%.

Applying this tax rate to a boat selling for $9,550:

0.045($9,550) = $429.75. This is the amount of tax on the 2nd boat.

7 0

3 years ago

Simplify each of the following:<br> 2<br> 1. (3+4i ) + ( 19 - 5i)

ira [324]

I hope this helps you

(3+19)+(4i-5i)

22-i

6 0

4 years ago

A fastball is hit straight up over home plate. The ball's height, h (in feet), from the ground is modeled by ℎ = −16푡 ଶ+103푡+5 w

Liono4ka [1.6K]

Question:

A fastball is hit straight up over home plate. The ball's height, h (in feet), from the ground is modeled by h(t)=-16t^2+80t+5, where t is measured in seconds. Write an equation to determine how long it will take for the ball to reach the ground.

Answer:

$t = 5.0625$

Step-by-step explanation:

Given

$h(t)=-16t^2+80t+5$

Required

Find t when the ball hits the ground

This implies that h(t) = 0

So, we have:

$0=-16t^2+80t+5$

Reorder

$-16t^2+80t+5 = 0$

Using quadratic formula, we have:

$t = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}$

Where

$a = -16$ $b =80$ $c = 5$

So, we have:

$t = \frac{-80\±\sqrt{80^2 - 4*-16*5}}{2*-16}$

$t = \frac{-80\±\sqrt{6400 +320}}{-32}$

$t = \frac{-80\±\sqrt{6720}}{-32}$

$t = \frac{-80\±82.0}{-32}$

This gives:

$t = \frac{-80+82.0}{-32}$ or $t = \frac{-80-82.0}{-32}$

$t = \frac{2}{-32}$ or $t = \frac{-162}{-32}$

$t = -\frac{2}{32}$ or $t = \frac{162}{32}$

But time can not be negative.

So, we have:

$t = \frac{162}{32}$

$t = 5.0625$

<em>Hence, time to hit the ground is 5.0625 seconds</em>

3 0

3 years ago

What value of x is in the solution set of 2(3x-1) ≥4x-6

astra-53 [7]

Answer:

$\large\boxed{x\geq-2\to x\in[-2,\ \infty)}$

Step-by-step explanation:

$2(3x-1)\geq4x-6\qquad\text{use distributive property}\ a(b-c)=ab-ac\\\\(2)(3x)-(2)(1)\geq4x-6\\\\6x-2\geq4x-6\qquad\text{add 2 to both sides}\\\\6x\geq4x-4\qquad\text{subtract 4x from both sides}\\\\2x\geq-4\qquad\text{divide both sides by 2}\\\\x\geq-2$

4 0

3 years ago