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2 years ago

Use f(x)=-2x+5 to find x when f(x)=11

1 answer:

3 0

When it asks this question, ultimately you want to plug 11 into x because its f(x). 11=-2+5.

Then you subtract 5 on both sides because of the opposite of addition is subtraction.

6=-2x

now divide on both sides

x=-3

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Solve : 3x - 3 = 2x<br><br> if you can show workings that would be great thank you !

Diano4ka-milaya [45]

Answer:

Step-by-step explanation:

3x-3=2x

3x-2x=3

x=3

5 0

2 years ago

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Which number line represents the solution set for the inequality –1/2x ≥ 4?

satela [25.4K]

The third dot is my answer. But don't take it for granted. Try it yourself and see what you come out with!

8 0

3 years ago

A plane traveled from California and back. It took one hour longer on the way out than it did on the way back. The plane's avera

padilas [110]

Answer:

Option D is the correct answer.

Step-by-step explanation:

Let x be the one way distance and t be the time out.

Time taken for back = t-1

We have plane's average speed out was 300 mph and average speed on the way back was 350 mph.

That is

$\frac{x}{300}=t\texttt{ and }\frac{x}{350}=t-1$

Dividing both equations

$\frac{\frac{x}{300}}{\frac{x}{350}}=\frac{t}{t-1}\\\\350t-350=300t\\\\t=7\texttt{ hours}$

Time taken for back = t-1 = 7-1 = 6 hours.

Total time taken = 7 + 6 = 13 hours

Option D is the correct answer.

5 0

3 years ago

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A street light is mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away from the pole with a speed of 4 ft/s along

mina [271]

Answer:

The tip of the man shadow moves at the rate of $\frac{20}{3} ft.sec$

Step-by-step explanation:

Let's draw a figure that describes the given situation.

Let "x" be the distance between the man and the pole and "y" be distance between the pole and man's shadows tip point.

Here it forms two similar triangles.

Let's find the distance "y" using proportion.

From the figure, we can form a proportion.

$\frac{y - x}{y} = \frac{6}{15}$

Cross multiplying, we get

15(y -x) = 6y

15y - 15x = 6y

15y - 6y = 15x

9y = 15x

y = $\frac{15x}{9\\} y = \frac{5x}{3}$

We need to find rate of change of the shadow. So we need to differentiate y with respect to the time (t).

$\frac{dy}{t} = \frac{5}{3} \frac{dx}{dt}$ ----(1)

We are given $\frac{dx}{dt} = 4 ft/sec$ . Plug in the equation (1), we get

$\frac{dy}{dt} = \frac{5}{3} *4 ft/sect\\= \frac{20}{3} ft/sec$

Here the distance between the man and the pole 45 ft does not need because we asked to find the how fast the shadow of the man moves.

7 0

3 years ago

If you want to convert quarts to cups, should you multiply or divide?

bonufazy [111]

<h3>Answer: Multiply by 4</h3>

This is because 1 quart = 4 cups

So if you had say 3 quarts, then it converts to 3*4 = 12 cups.

4 0

2 years ago

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