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3 years ago

What is the solution to the equation 9^(x + 2) = 27?

Mathematics

2 answers:

lakkis [162]3 years ago

8 0

The answer to this problem is x= -0.5

saw5 [17]3 years ago

6 0

I’m with the first person I think it’s -0.5

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Which equation is not a linear function? Select each correct function.

tino4ka555 [31]

$\text{The point-slope form of a linear function:}$

$y = mx + b$

$y=xy+2\qquad\text{subtract xy from both sides}\\\\y-xy=2\qquad\text{distributive}\\\\(1-x)y=2\qquad\text{divide both sides by (1 - x)}\\\\y=\dfrac{2}{1-x}\to\text{nonlinear}\\---------------------------\\y=x+2y\qquad\text{subtract 2y from both sides}\\\\-y=x\qquad\text{change the signs}\\\\y=-x\to\text{linear}\\-----------------------------\\y=-x-2y\qquad\text{add 2y to both sides}\\\\3y=-x\qquad\text{divide both sides by 3}\\\\y=-\dfrac{1}{3}x\to\text{linear}\\-----------------------------$

$y=x-y+2\qquad\text{add y to both sides}\\\\2y=x+2\qquad\text{divide both sides by 2}\\\\y=\dfrac{1}{2}x+1\to\text{linear}\\----------------------------\\y=x^2-2+2y\qquad\text{subtract 2y from both sides}\\\\-y=x^2-2\qquad\text{change the signs}\\\\y=-x^2+2\to\text{nonlinear}\\----------------------------\\y=-y+2-2x\qquad\text{add y to both sides}\\\\2y=2-2x\qquad\text{divide both sides by 2}\\\\y=-x+1\to\text{linear}$

7 0

4 years ago

If a 10-pound sack of potatoes costs $6.55, how much would 1 pound cost? Round your answer to the nearest cent.

Black_prince [1.1K]

$\begin{array}{ccc}10\ lb&-&\$6.55\\\\1\ lb&-&\$ x\end{array}\ \ \ |cross\ multiply\\\\\\\\10\cdot x=1\cdot6.55\\\\10x=6.55\ \ \ \ |divide\ both\ sides\ by\ 10\\\\x=\frac{6.55}{10}\\\\x=0.65\underline{5}\approx\boxed{\$0.66}\\$

If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up (+1).

3 0

3 years ago

Leon reads 10 pages in only 1/3 hours What is the unit rate for the pages per hour? For hours per page?

elixir [45]

Answer:

The unit rate is 30 pages per hour.

The unit rate is 1/30 hour per page

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Hello there!

Usimov [2.4K]

firstly chain rule is dy/dx = dy/du * du/dx

a) y = 5u² + u - 1 hence dy/du = 10u +1

u = 3x +1 hence du/dx = 3

so dy/dx = 3(10u +1) {sub in u and expand}

b) y= u^-2 hence dy/du = -2u^-3

u=2x+3 hence du/dx = 2

so dy/dx= 2(-2u^-3) {sub in u}

8 0

3 years ago

Of the 250 cows in a herd, 34% are brown. What is the number of cows that are brown? *

Leona [35]

Answer:

Step-by-step explanation:

250 x 34%

250 x 34/100

25 x 34/10

5 x 34/2

5 x 7

7 0

3 years ago