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4 years ago

Mr. Richards had 6000 pounds of topsoil delivered to his house how many tons is in 6000 pounds

2 answers:

8 0

Hello!

2000lbs = 1 ton

So if we have 6000lbs then we can just multiply it by the pound to ton ration;

6000lbs*(1 ton/2000lbs) = 3 tons

we can see the units work out because pounds divides out and leaves us with the unit tons.

Hope this helps! Any questions please ask! Thank you kindly!

Lina20 [59]4 years ago

4 0

Since 1 ton is equivalent to 2000pounds, 6000 pounds would be 3 tons.

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A $20, 000 brand new car depreciate its value every year following the pattern, $16,000, $12,800, $10,240. How much will the car

seropon [69]

Answer:

Step-by-step explanation:

Use the info given in the exponential equation to find the value of b, the rate of decay.

$v(t)=a(b)^t$ where v(t) is the value of the car after a certain number of years, t, have gone by, a is the initial value, and b is the rate of decay. We have everything we need but b:

a = 20000

v(t) = 16000 after t = 1 year:

$16000=20000(b)^1$ so

b = .8 Taken in context, this means that the car depreciates 20% each year. Now we can solve the problem being asked of us, which is to find the value of the car after t = 5 years:

$v(t)=20000(.8)^5$ which simplifies down a bit to

v(t) = 20000(.32768) so

v(t) = 6553.60, choice C.

7 0

3 years ago

find the area of the isocele triangle formed by the points of intersection of parabolas y=-x^2+9 and y=2x^2-3 and the origin

leonid [27]

Answer:

$10\ \text{sq. units}$

Step-by-step explanation:

The parabola's are

$y=-x^2+9$

$y=2x^2-3$

$-x^2+9=2x^2-3\\\Rightarrow 12=3x^2\\\Rightarrow \\\Rightarrow x=\sqrt{\dfrac{12}{3}}\\\Rightarrow x=\pm 2$

$y=-x^2+9=-(2)^2+9\\\Rightarrow y=5$

$y=-(-2)^2+9=5$

So, the points at which the parabola's intersect each other is $(2,5)$ and $(-2,5)$

The three points of the triangle are $(2,5)$ , $(-2,5)$ and $(0,0)$

Area of a triangle is given by

$A=\dfrac{1}{2}[x_1(y_2-y_3) + x_2(y_3-y_1) + x_3(y_1-y_2)]\\\Rightarrow A=\dfrac{1}{2}[2(5-0)+(-2)(0-5)+0(5-5)]\\\Rightarrow A=10\ \text{sq. units}$

Area of the triangle formed is $10\ \text{sq. units}$ .

3 0

3 years ago

If f(x) = x² + 1 for what x value is f(x) = 2?

MaRussiya [10]

Answer:

x = ±1

Step-by-step explanation:

Step 1: Define variables

f(x) = x² + 1

f(x) = 2

Step 2: Substitute

2 = x² + 1

Step 3: Solve for <em>x</em>

0 = x² - 1

0 = (x - 1)(x + 1)

x - 1 = 0

x = 1

x + 1 = 0

x = -1

∴ x = ±1

6 0

3 years ago

What is the factored form of the function f(x)=x^3+8x^2+5x−50?

Inga [223]

Answer:

the factors of f(x)=x^3+8x^2+5x-50 are (x-2)(x+5)(x+5)

Step-by-step explanation:

We need to factorise the function $f(x)=x^3+8x^2+5x-50$

If a number is a factor of this function than it must be completely divisible by last co-efficient. Our last co-efficient is -50

Checking few numbers:

$f(1)=(1)^{3}+8(1)^2+5(1)-50\\f(1)=1+8+5-50\\f(1)=-32\\Now \ putting \ x= 2 \\f(2)=(2)^{3}+8(2)^2+5(2)-50\\f(2)=8+8(4)+10-50\\f(2)=8+32+10-50\\f(2)=0$