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2 years ago

Let f(x)=3^x

1 answer:

7 0

As your -2 is directly affecting the x with addition/subtraction, it is a translation horizontally. To find direction, change the sign, from negative to positive, making it go right. This means it will be translated 2 units to the right, fitting the first statement. For your +5, it is not directly affecting the x, making it a translation vertically. As it's positive, it goes up, making it a translation 5 units up, fitting statement 4. This makes your correct statements 1 and 4.

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A sailboat sails for 1/6 of an hour and travels 2 1/2 miles. What is it's rate in miles per hour?

Evgen [1.6K]

Answer:

The sail boat travels 2.5 miles in (1/6) of an hour so that would be

2.5 miles / (1/6) hours =

2.5 * 6 = 15 miles per hour

Step-by-step explanation:

3 0

2 years ago

Verify which of the following are identities.

-Dominant- [34]

Answer:

Only the second equation is an identity

Step-by-step explanation:

$8 \frac{\tan^2(\theta)}{\sec(\theta)} \csc^2(\theta)=8 \csc(\theta)$

Note that

$\tan^2(\theta)\csc^2(\theta)=\sec^2(\theta)$

You can confirm it:

$\frac{\sin^2(\theta)}{\cos^2(\theta)}\cdot \frac{1}{\sin^2(\theta)}= \frac{1}{cos^2(\theta)}= \sec^2(\theta)$

Therefore

$8 \frac{\sec^2(\theta)}{\sec(\theta)} =8 \csc(\theta)$

$8 \frac{\sec(\theta)}{1} =8 \csc(\theta)$

$8\sec(\theta)=8\csc(\theta)$

<h2>It is not an Identity</h2>

Let's the second one

$13 \frac{\tan^2(\theta)}{\sec(\theta)} \csc^2(\theta)=13\sec(\theta)$

In this case, we already performed the calculations, so it is true. It is an Identity.

3 0

2 years ago

the sum of three numbers is twenty. the second number is four times the first and the sum of the first and third is eight. what

8090 [49]

Let's call the three numbers x, y, and z.

The numbers are 3, 12, and 5.
x + y + z = 20
y = 4x
x + z = 8
We can rewrite the first equation because y is 4x, so
x + 4x + z = 20
5x + z = 20
And now we can use simultaneous equation rules to solve

5x + z = 20
x + z = 8

5x + z = 20
5x + 5z = 40
(subtract)
-4z + -20
÷ -4
z = 5

x + z = 8
x + 5 = 8
x = 3

y = 4x
y = 4 × 3
y = 12

I hope this helps!

4 0

3 years ago

r = 13.1 km., d = ? , C = ? a. d = 26.2 km, C = 82.31 km c. d = 6.55 km, C = 82.31 km b. d = 26.2 km, C = 41.15 km d. d = 6.55 k

DENIUS [597]

Answer is a. d = 26.2 km, C = 82.31 km

D = 2r = 2 x 13.1 = 26.2
C = 2pi r = 2 x 3.14159265359 x 13.1
C = 82.31

7 0

3 years ago

Bernice bought 3/1/2 pound of apples and 5/2/3 pounds of oranges and 11/12 pounds of bananas what was the total weight of fruit

torisob [31]

10 1/12

3 1/2 + 5 2/3 + 11/12 = 10 1/12

4 0

3 years ago

Read 2 more answers