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3 years ago

7

Guys i need help with this ... please

1 answer:

Kisachek [45]3 years ago

5 0

They r irrational lol

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Solve the following system of equations by substitution. Show all steps.

Alinara [238K]

Answer:

Given system of equations:

$\begin{cases}f(x)=-x^2+2x+3\\g(x)=-2x+3\end{cases}$

To solve by substitution, equate the equations and solve for x:

$\begin{aligned}f(x) & = g(x)\\\implies -x^2+2x+3 & = -2x+3\\-x^2+4x & = 0\\x^2-4x & = 0\\x(x-4) & = 0\\\implies x & = 0\\\implies x-4 & = 0 \implies x=4\end{aligned}$

Therefore, the x-values of the solution are $x = 0$ and $x = 4$ .

To find the y-values of the solution, substitute the found values of x into the functions:

$f(0)=-(0)^2+2(0)+3=3$

$g(0)=-2(0)+3=3$

$f(4)=-(4)^2+2(4)+3=-5$

$g(4)=-2(4)+3=-5$

Therefore, the solutions to the given system of equations are:

$(0, 3)$ and $(4, -5)$

4 0

2 years ago

If the area of a triangular prism is 300 and the height is 3 what is the area of the base?

evablogger [386]

The volume of any prism is given by
.. V = Bh . . . . B is the area of the base, h is the height

You have
.. 300 = B*3
.. 300/3 = B = 100

The area of the base is 100 square units.

4 0

4 years ago

Employer pays $22 for two hours. Unless she charge for five hours?

Anton [14]

$55 for 5 hours, first I divided 22 by 2 and got 11 so then I multiplied 11 times 5 to get 55. Hope this helps :)

5 0

4 years ago

Please help me thanks :)

Paraphin [41]

Answer:

17

Step-by-step explanatio

4 0

3 years ago

I don't understand how to answer this

IgorLugansk [536]

Answer:

$\large\boxe{D)\ \dfrac{1}{2}\pi\ feet}$

Step-by-step explanation:

Step 1:

Calculate the circumference of both circles.

The formula of a circumference:of a circle with radius r:

$C=2\pi r$

The circle R:

$C_R=2\pi\left(\dfrac{2}{3}\right)=\dfrac{4\pi}{3}\ ft$

The circle S:

$C_S=2\pi\left(\dfrac{3}{4}\right)=\dfrac{3\pi}{2}\ ft$

The length of the intercepted arc for circle R is

$l=\dfrac{4\pi}{9}\ ft$

Step 2:

Calculate what the part of the circumference of the circle R is the intercepted arc:

$\dfrac{4\pi}{9}:\dfrac{4\pi}{3}=\dfrac{4\pi}{9}\cdot\dfrac{3}{4\pi}=\dfrac{1}{3}$

The same length of the circumference of the circle S is searched for the length of the intercepted arc for circle S.

Step 3:

Calculate the length of the intercepted arc for circle S:

$\dfrac{1}{3}\cdot\dfrac{3\pi}{2}=\dfrac{1}{2}\pi\ ft$

4 0

3 years ago