What is the range of f(x) = (3/4)^x -4?

Answer:

112 ft.

Step-by-step explanation:

This shape is a trapezoid. To find the area of a trapezoid, use the formula: [tex]\frac{b_{1} + b_{2} }{2} h[/tex]. First find base one. The shape in the middle is a square, so the top side of the trapezoid will be worth 8 ft as well. Now add the two bases 8 + 20 to get 28 and then divide by 2 to get 14. Now multiply 14 by the height (8). 14 x 8 is 112 ft.

Hope it helps and is correct!

Answer:

The function [tex]y = x[/tex] is shifted downwards by 8 units

Step-by-step explanation:

Given

[tex]y = x[/tex]

Required

Determine the transformation that gives: [tex]y = x-8[/tex]

When a function f(x) is shifted by b units, the new function g(x) is g(x) = f(x) - b

In this case:

[tex]y = x[/tex]

[tex]b = 8[/tex]

So, the new function is:

[tex]y = x - b[/tex]

Substitute 8 for b

[tex]y = x - 8[/tex]

Hence, the function is shifted 8 units downward

9514 1404 393

Answer:

  21.8 cm

Step-by-step explanation:

A useful way to write the Law of Sines relation when solving for side lengths is ...

  a/sin(A) = b/sin(B)

Then the solution for 'a' is found by multiplying by sin(A):

  a = sin(A)(b/sin(B)) = b·sin(A)/sin(B)

__

We need to know the angle A. Its value is ...

  A = 180° -75° -31.8° = 73.2°

Then the desired length is ...

  a = (22 cm)sin(73.2°)/sin(75°) ≈ (22 cm)(0.9573/0.9659)

  a ≈ 21.8 cm

_____

I like to use the longest side and largest angle in the equation when those are available. That is why I chose 75° and 22 cm.

Answer: 44 2/15

Step-by-step explanation:

Answer:

11/25

Step-by-step explanation:

Answer:

11/25

Step-by-step explanation:

44/100  →   22/50→   11/25

Answer:

Step-by-step explanation:

[tex] step - 1 : define[/tex]

[tex] \sin( {30}^{o} ) = \frac{a}{12} [/tex]

[tex] step - 2 : solve[/tex]

Answer:

1:4:1.5

Step-by-step explanation:

Answer:

90 gallons

Step-by-step explanation:

Answer:

90 gallons

Step-by-step explanation:

Answer:

4 6/15

Step-by-step explanation:

The picture will give the explanation of why I see 4 6/15

Answer:

y = -x + 1

Step-by-step explanation:

y=mx+b

m:slope= rise/run, the line goes down 1 and over 1 so it would be -1/1 which is -1

b:y-intercept: the line crosses the y-axis at 1

plug in m=-1 and b=1 into y=mx+b

y=-1x+1

y=-x+1

Answer:

Your answer is A

Step-by-step explanation:

The graph of y = f(x) will shift left 2 units.

Answer:

Step-by-step explanation:

The teacher has 7/8 pounds of clay given.

gives out 1/16 per station

7/8= 0.875 pound

7/8 / 1/16 pound= 14 maximum stations

14 stations divided by 2 classes = 7 in each room

Answer:

jayfeather friend me

Step-by-step explanation:

The inverse functions “undo” each other, You can use composition of functions to verify that 2 functions are inverses. When you compose two inverses… the result is the input value of x. 3 3 g x x = Because f(g(x)) = g(f(x)) = x, they are inverses.

Answer:

Yes, they are similar.

[tex]AB\approx 127.3947[/tex]

Step-by-step explanation:

Part 1)

Yes.

First, ∠D and ∠B are both right angles, so they are congruent.

Next, ∠DCE and ∠BCA are vertical angles. So, their measures are congruent.

Then by Angle-Angle Similarity, we acquire:

[tex]\Delta EDC\sim \Delta ABC[/tex]

Part 2)

The corresponding sides of similar triangles are proportional.

Therefore:

[tex]\displaystyle \frac{DE}{DC}=\frac{AB}{BC}[/tex]

By substitution:

[tex]\displaystyle \frac{103}{76}=\frac{AB}{94}[/tex]

Cross-multiply:

[tex]76AB=9682[/tex]

So:

[tex]AB=9682/76\approx127.3947[/tex]

Answer:

1,2,4

Step-by-step explanation:

I just took the test and got it right and its the only logical answer.

If ΔXYZ, after reflection and dilation by a scale factor of 1/2, ΔX'Y'Z' is created, the following would be true:

1. △XYZ ~ △X'Y'Z'

2. AngleXZY ≅ AngleY'Z'X'

4. XZ = 2X'Z'

Thus, if ΔXYZ, after reflection and dilation by a scale factor of 1/2, ΔX'Y'Z' is created, the following would be true:

1. △XYZ ~ △X'Y'Z'

2. AngleXZY ≅ AngleY'Z'X'

4. XZ = 2X'Z'

Learn more about dilation on:

https://brainly.com/question/10253650

f(x) = 1/x

for rational function

Answer:

Answer. 32

Step-by-step explanation:

20+4+2+6=32

Answer:

.

Step-by-step explanation:

Answer:

[tex]g(9) = \frac{2048}{3}[/tex]

Step-by-step explanation:

Given

[tex]g(x) = \frac{1}{6}(8)^{x-5}[/tex]

[tex]x = 9[/tex]

Required

Solve

Substitute 9 for x in [tex]g(x) = \frac{1}{6}(8)^{x-5}[/tex]

[tex]g(9) = \frac{1}{6}(8)^{9-5}[/tex]

[tex]g(9) = \frac{1}{6}(8)^{4}[/tex]

Remove bracket

[tex]g(9) = \frac{1}{6}* 8^4[/tex]

[tex]g(9) = \frac{1}{6}* 4096[/tex]

[tex]g(9) = \frac{1* 4096}{6}[/tex]

[tex]g(9) = \frac{4096}{6}[/tex]

Simplify fraction

[tex]g(9) = \frac{2048}{3}[/tex]

Answer:

16.21 degrees

Answer:

ANS;;;; 45 ...........................

Answer:

[tex]\frac{35}{105}[/tex]

Step-by-step explanation:

Answer:

1.7254

Step-by-step explanation:

(3.9)(0.27)+0.6724

= 1.053+0.6724

= 1.7254

hope I helped!!

Answer:

(-1,-1),(1,-4)

Step-by-step explanation:

it is the wright answer