In order to use the elimination method, you have to create variables that have the same coefficient—then you can eliminate them. Multiply the top equation by 5. Next add the equations, and solve for y. Substitute y = 10 into one of the original equations to find x.

8 0

3 years ago

If m varies directly with x 2 , and m = 10 when x = −4, find the value of m when x = 3

mestny [16]

If it is directly proportional, then:

m = kx
10 = k x -4
k = -2.5

m = 3 x -2.5
m= 7.5

Hope I helped!

7 0

3 years ago

For problems a - d, write the function in the form LaTeX: y=ab^x. y = a b x . a) LaTeX: y=3\sqrt{4^{2x}} y = 3 4 2 x b) LaTeX: y

elixir [45]

Step-by-step explanation:

To write the equation in LaTeX in form y = ab^x or $ab^x$ for y = abx .........(1)

(a) LaTeX: y=3\sqrt{4^{2x}} y = 3 4 2 x can be written in mathematical form as

$y=3\sqrt{4^{2x}}$ ; y = 342x

on comparing with equation (1) we get a =3 and b =4

⇒y = 34^x or $34^x$

(b) LaTeX: y=\frac{\sqrt[3]{5^{3x}}}{2} y = 5 3 x 3 2 can be written in mathematical form as

$y=\frac{\sqrt[3]{5^{3x}}}{2}$ ; y = 342x

on comparing with equation (1) we get a =0.5 and b =5

⇒y = $\frac{1}{2}5^x$

(c)LaTeX: y=8^{x+2} y = 8 x + 2 can be written in mathematical form as

$y=8^{x+2}$

on comparing with equation (1) we get a =64 and b =8

y = $64 . 8^x$

(d)LaTeX: y=\frac{3^{2x+1}}{\sqrt{3^{2x}}} can be written in mathematical form as

$y=\frac{3^{2x+1}}{\sqrt{3^{2x}}}$ = $3^{x+1}$ = $3 . 3^x$

on comparing with equation (1) we get a =3 and b =3

y = $3 . 3^x$

7 0

3 years ago

I need info on Albert Einstein

Valentin [98]

Born on March 14, 1879 in Ulm, Württemberg, Germany, Albert Einstein grew up in a secular Jewish family. ... Einstein had one sister, Maja, born two years after him.Einstein attended elementary school at the Luitpold Gymnasium in Munich.

4 0

3 years ago

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