4^(x-1) + 4^x + 4^(x+1)= 21

Answers

Answer 1

Answer:

Answer: x = 1

Step-by-step explanation:

isolate the variable by dividing both sides by factors that don't contain the variable.

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Given f(x) = –5x + 1, what is f(–2)?A.
3/5

B.
-9

C.
11

D.
1

Answers

-5(-2)+1 10+1=11 Your answer is C

Solve the following equation for x: 1,000(x – 2) = 75,000 A. 7 B. 770 C. 7,700 D. 77

Answers

1,000(x - 2) = 75,000 |divide both sides by 1,000

x - 2 = 75 |add 2 to both sides

x = 77

Kaitlin paid $16.60 for 33.2 centimeters of wire.Find the unit price in dollars per centimeter.
If necessary, round your answer to the nearest cent.

Answers

Answer:

Step-by-step explanation:

$0.50 per centimeters i think

Final answer:

To find the unit price, you divide the total price by the total quantity. The unit price of the wire is approximately $0.50 per centimeter, after rounding to the nearest cent.

Explanation:

To find the unit price, we need to divide the total price by the total quantity. In this case, Kaitlin paid $16.60 for 33.2 centimeters of wire. So, we need to divide 16.60 (in dollars) by 33.2 (in centimeters).

The calculation is:
16.60 ÷ 33.2 = 0.5

So, the unit price of the wire is approximately $0.50 per centimeter. Please note that we have rounded the final answer to the nearest cent, as requested.

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PLEASE HELP!!!The points A, B, C, and D are plotted on a line, consecutively. AB = BC = CD = 6 cm. Find the distance between M and N, which are the midpoints of segments AB and CD , respectively. Fill in the blanks of the Statement/Reason solution.

Answers

The distance between $M$ and $N$ , which are the midpoints of segments $AB$ and $CD$ is $12cm$ .

What is segment?

Segment is a part of a line that is bounded by two distinct end points, and contains every point on the line that is between its endpoints.

What is line?

Line is defined as a straight $1D$ figure having no thickness and extending infinitely in both directions.

We have,

$AB=BC=CD=6cm$ ,

And, $M$ and $N$ are the midpoints of segments $AB$ and $CD$ .

According to question,

$AB=BC=CD=6cm$ ,

So,

Total length of line is $18cm$ .

As $M$ and $N$ are midpoints of and $AB$ and $CD$ ,

So,

$MN=18-(AM+BN)$

$MN=18-6$

$MN=12cm$

Hence, we can say that the distance between $M$ and $N$ , which are the midpoints of segments $AB$ and $CD$ is $12cm$ .

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Answer:

12 inches

Step-by-step explanation:

Graph the equation. y-4=1/4(x-1)²

Answers

y-4=1/4*(x-1)²
y=1/4(x-1)²+4
the parabola y=1/4x2 with vertex at the point (1;4),the branches up,x=1 is the axis of symmetry intersects the axis of the OY at the point (0;4 1/4)

y - 4 = ¹/₄(x - 1)²
y - 4 = ¹/₄(x - 1)(x - 1)
y - 4 = ¹/₄(x² - x - x + 1)
y - 4 = ¹/₄(x² - 2x + 1)
y - 4 = ¹/₄(x²) - ¹/₄(2x) + ¹/₄(1)
y - 4 = ¹/₄x² - ¹/₂x + ¹/₄
+ 4    + 4
   y = ¹/₄x² - ¹/₂x + 4¹/₄
¹/₄x² - ¹/₄x + 4¹/₄ = 0
x = -(-¹/₄) +/- √(-¹/₄)² - 4(¹/₄)(4¹/₄))
   2(¹/₄)
x = ¹/₄ +/- √(¹/₁₆ - 4¹/₄)
¹/₂
x = ¹/₄ +/- √(4³/₁₆)
   ¹/₂
x = ¹/₄ +/- 2.046
   ¹/₂
x = ¹/₂ + 4.092
x = ¹/₂ + 4.092 x = ¹/₂ - 4.092
x = 4.592 x = 3.592

A carpenter uses 9 1/2 ft of cedar wood for every 12 1/3 ft of redwood for a construction project. If the carpenter uses 4 3/4 ft of cedar, how much redwood does he need