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3 years ago

Use the functions h(x) = 2x − 5 and t(x) = 6x + 4 to complete the function operations listed below.

1 answer:

6 0

For this case we have the following functions:
h (x) = 2x - 5
t (x) = 6x + 4

Part A: (h + t) (x)
(h + t) (x) = h (x) + t (x)
(h + t) (x) = (2x - 5) + (6x + 4)
(h + t) (x) = 8x - 1

Part B: (h ⋅ t) (x)
(h ⋅ t) (x) = h (x) * t (x)
(h ⋅ t) (x) = (2x - 5) * (6x + 4)
(h ⋅ t) (x) = 12x ^ 2 + 8x - 30x - 20
(h ⋅ t) (x) = 12x ^ 2 - 22x - 20

Part C: h [t (x)]
h [t (x)] = 2 (6x + 4) - 5
h [t (x)] = 12x + 8 - 5
h [t (x)] = 12x + 3

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Find the value of x?

jekas [21]

Hello!
The left triangle have two same side length so the two bottom angles are the same which is (180-56)/2=62
See the left triangle bottom right angle and the right triangle bigger angle have the sum of 180 degree so the bigger angle=180-62=118
The right triangle also have two same sides so they also have same angle degree so x=(180-118)/2=31
Have a great day!

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3 years ago

What is the measure of o

Helga [31]

Answer:

Step-by-step explanation:

We need the formula for arc length (in radians) to solve this problem. The formula is:

$s=r \theta$

Where

s is the arc length

r is the radius of the circle

$\theta$ is the intercepted angle

In this diagram, we can see that $\theta$ is beign intercepted by the big arc with measure 20 cm. So arc length, s, is 20

Also, if we look, we see that the radius is 5 cm, so r = 5

Now, we substitute into formula and find $\theta$ :

$s=r\theta\\20=5\theta\\\theta=\frac{20}{5}\\\theta=4$

This is given in radians, so $\theta$ is 4 radians

D is the correct answer choice.

6 0

2 years ago

Write the expression below as the product of two factors.<br><br>m · 6+ k · 6

Murrr4er [49]

Answer:

I think that it is 6(m times 1 + k times 6)

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

from a window 20 feet above the ground, the angle of elevation to the top of another building is 35 degrees. The distance betwee

NISA [10]

Answer:

56.4 ft

Step-by-step explanation:

The tangent of the angle relates the opposite side (height above the window) to the adjacent side (distance between buildings) in the right triangle that models this geometry.

Tan = Opposite/Adjacent

tan(35°) = (height above window)/(distance between buildings)

height above window = (52 ft)tan(35°) ≈ 36.4 ft

Added to the window height of 20 ft, the height of the other building is ...

20 ft + 36.4 ft = 56.4 ft

5 0

3 years ago

What to the tenth power can get you 300

OLEGan [10]

Answer:

1.7689 (rounded to 4 decimal places)

Step-by-step explanation:

Let the number we are seeking be "x", thus we can write the equation as:

$x^{10}=300$

Since we have raised "x" to the "10th power", to get "x" back again, we need to take 10th root. Same goes for right side, we take 10th root of 300. We will get our answer. The process shown below:

$x^{10}=300\\\sqrt[10]{x^{10}} =\sqrt[10]{300} \\x=\sqrt[10]{300} \\x=1.7689$

hence, 1.7689 raised to 10th power will give us 300

5 0

3 years ago