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galben [10]
4 years ago
13

Double z, then raise the result to the 3rd power

Mathematics
1 answer:
crimeas [40]4 years ago
7 0

Answer:

(2z)^3 or 8z^3

Step-by-step explanation:

"double z:"  2z

"raise the result (2z) to the third power:"  (2z)^3 or 8z^3

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The vertex of this parabola is at (-2,-3). When the y-value is -2, the x-value is -5. What is the coefficient of the squared ter
ra1l [238]

Answer:

The coefficient of the squared term of the equation is 1/9.

Step-by-step explanation:

We are given that the vertex of the parabola is at (-2, -3). We also know that when the <em>y-</em>value is -2, the <em>x-</em>value is -5. Using this information we want to find the cofficient of the squared term in the parabola's equation.

Since we are given the vertex, we can use the vertex form:

\displaystyle y=a(x-h)^2+k

Where <em>a</em> is the leading coefficient and (<em>h, k</em>) is the vertex.

Since the vertex is (-2, -3), <em>h</em> = -2 and <em>k</em> = -3:

\displaystyle y=a(x-(-2))^2+(-3)

Simplify:

y=a(x+2)^2-3

We are also given that <em>y</em> = -2 when <em>x</em> = -5. Substitute:

(-2)=a(-5+2)^2-3

Solve for <em>a</em>. Simplify:

\displaystyle \begin{aligned} -2&=a(-3)^2-3\\ 1&=9a \\a&=\frac{1}{9}\end{aligned}

Therefore, our full vertex equation is:

\displaystyle y=\frac{1}{9}(x+2)^2-3

We can expand:

\displaystyle y=\frac{1}{9}(x^2+4x+4)-3

Simplify:

\displaystyle y=\frac{1}{9}x^2+\frac{4}{9}x-\frac{23}{9}

The coefficient of the squared term of the equation is 1/9.

3 0
4 years ago
8 players to 10 players
solong [7]

Answer:

"I don't understand what this means but I will take my best shot, I guess, this is my answer based on the small amount of words this question gives"

Depending on skill level either of them could win, for example if the 10 players are able to overwhelm the 8 players they will win, but if the 8 players have better players they could win, depending on their skill, even though the 10 player team has a better chance to win, the 8 player team could win.

3 0
3 years ago
For the three-part question that follows, provide your answer to each question in the given workspace.
zepelin [54]

Answer:

See below

Step-by-step explanation:

Julie wants to cut her hair 9 inches off from 16 inches

<h3>Part A </h3>

Expression

  • 16 - 9
<h3>Part B</h3>

Calculation

  • 16 - 9 = 7 inches
<h3>Part C</h3>

Explanation of steps

  • 1 - note the point 16 on the number line
  • 2 - move left by 9 points on the number line
  • 3 - note point 7 as answer
6 0
3 years ago
Read 2 more answers
Whats 5 kilometers transferred into meters
Rina8888 [55]
1 kilometer = 1000 meters
1 x 5 kilometers = 1000 x 5 meters
5 kilometers = 5000 meters
3 0
3 years ago
Which of the following represents an equation of of a line with a slope of- 1/4 and an X-intercept of 8?
sdas [7]
<span>Using the form y = mx + b, where m = the slope and b = the y intercept


The x intercept occurs when y = 0, therefore to find b:
-1/4*8 + b = 0
-2 + b = 0
b = 2
therefore our equation is
y = -1/4x + 2,

Sorry it was late

</span>
5 0
4 years ago
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