$(\sqrt{7})^{6x}=49^{x-6} \\
(7^\frac{1}{2})^{6x}=(7^2)^{x-6} \\
7^{\frac{1}{2} \times 6x}=7^{2(x-6)} \\
7^{3x}=7^{2x-12} \\
3x=2x-12 \\
3x-2x=-12 \\
x=-12$

8 0

2 years ago

Let f(x)=8x+8 find and simply f(x+1)

shusha [124]

Answer:

Step-by-step explanation:

f(x) = 8x + 8

f(x+1) = 8(x+1) + 8

= 8x + 8 + 8

= 8x + 16

8 0

2 years ago

Read 2 more answers

What number is six and four hundredths larger than two and five tenths?

Nostrana [21]

Answer:

eight and thirty-seven fiftyths

Step-by-step explanation:

6 and 4/100 + 2 and 5/10

6 and 1/25 + 2 and 1/2

156 / 25 + 5 / 2

312 / 50 + 125 / 50

437 / 50

400 / 50 = 8

8 and 37 / 50

7 0

2 years ago

Find the equations of the tangents to the curve x=9t2+3, y=6t3+3 that pass through the point (12,9).

Xelga [282]

Answer:

The equation will be " $y=x-3$ ".

Step-by-step explanation:

Given:

Points (12, 9) = (x, y)

⇒ $x=9t^2+3$

then,

$\frac{dy}{dt}=18t$

or,

⇒ $y=6t^3+3$

then,

$\frac{dy}{dt}=18t^2$

⇒ $\frac{dy}{dx}=\frac{18t^2}{18t}$

$=t$

By using the point slope form.

The equation of tangent will be:

⇒ $y-9=1(x-12)$

$y-9=x-12$

$y=x-12+9$

$y=x-3$

4 0

3 years ago