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3 years ago

Manuel bought a car for 65% of the original price of $7200. what did he pay for the car?

Mathematics

1 answer:

LekaFEV [45]3 years ago

8 0

a good ahhhhhhhss deal!

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A) y=2(4)^x growth or decay y-intercept:

tatiyna

It's growth and the y-intercept is (0,2). ;)

5 0

2 years ago

Please help solve this system of equations

stepan [7]

Make a substitution:

$\begin{cases}u=2x+y\\v=2x-y\end{cases}$

Then the system becomes

$\begin{cases}\dfrac{2\sqrt[3]{u}}{u-v}+\dfrac{2\sqrt[3]{u}}{u+v}=\dfrac{81}{182}\\\\\dfrac{2\sqrt[3]{v}}{u-v}-\dfrac{2\sqrt[3]{v}}{u+v}=\dfrac1{182}\end{cases}$

Simplifying the equations gives

$\begin{cases}\dfrac{4\sqrt[3]{u^4}}{u^2-v^2}=\dfrac{81}{182}\\\\\dfrac{4\sqrt[3]{v^4}}{u^2-v^2}=\dfrac1{182}\end{cases}$

which is to say,

$\dfrac{4\sqrt[3]{u^4}}{u^2-v^2}=\dfrac{81\times4\sqrt[3]{v^4}}{u^2-v^2}$

$\implies\sqrt[3]{\left(\dfrac uv\right)^4}=81$

$\implies\dfrac uv=\pm27$

$\implies u=\pm27v$

Substituting this into the new system gives

$\dfrac{4\sqrt[3]{v^4}}{(\pm27v)^2-v^2}=\dfrac1{182}\implies\dfrac1{v^2}=1\implies v=\pm1$

$\implies u=\pm27$

Then

$\begin{cases}x=\dfrac{u+v}4\\\\y=\dfrac{u-v}2}\end{cases}\implies x=\pm7,y=\pm13$

(meaning two solutions are (7, 13) and (-7, -13))

8 0

2 years ago

Find all the zeros of the quadratic function. y=x²-11x+18

maria [59]

Y= (X-9)(x+2)
X=9
X=-2

8 0

2 years ago

Perfume is sold in two different sizes of bottle the 80ml bottle is priced at £55

Elan Coil [88]

Answer:

gkdbdndjdbdndvdbshdhvdcdhdhdhgdvdvdvvdvd d. d d d dvsjdb dhdhdb

Step-by-step explanation:

NMhdvdeheohberCNNe

3 0

2 years ago

Urgent!

Varvara68 [4.7K]

Answer:

See explanation

Step-by-step explanation:

From the graph,

After 1 hour passed, 2 inches of show fell
After 5 hours passed, 10 inches of snow fell
And so on

This means, that points (1,2), (5,10) lie on the graph. This graph passes through the origin, so its equation is

$y=kx,$

where k is the slope

Find k:

$2=k\cdot 1\\ \\k=2,$

so the equation is $y=2x$ and the slope is k = 2.

The slope means how many inches of snow fell in 1 hour.

In 1 hour, 2 inches of snow fell.

8 0

2 years ago