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topjm [15]
4 years ago
12

Evaluate the following expression. 1/5^-2 Evaluate 6^-3

Mathematics
2 answers:
Marizza181 [45]4 years ago
7 0
1/5^-2 = 5^2 so this equals

 = 25
melisa1 [442]4 years ago
6 0
( \frac{1}{5}) ^{-2}  =  ( \frac{5}{1} )^{2}  =  5^{2}  = 25 \\  \\  6^{-3} = ( \frac{6}{1} )^{-3} =  ( \frac{1}{6} )^{3} =  \frac{ 1^{3} }{ 6^{3} } =  \frac{1}{216}
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Plsss need help!!! will give brainliest !!!
Vesna [10]

Answer:

The relationship between the graphs of the two functions is "They are reflections of each other across the y-axis" ⇒ B

Step-by-step explanation:

  • If the function f(x) reflected across the x-axis, then the new  function g(x) = - f(x), which means the signs of the y-coordinates of the points on f(x) are opposite in g(x)
  • If the function f(x) reflected across the y-axis, then the new  function g(x) = f(-x), which means the signs of the x-coordinates of the points on f(x) are opposite in g(x)

∵ The points on f(x) are (-2, -31), (-1, 0), (1, 2), (2, 33)

∵ The points on g(x) are (2, 3), (1, 0), (-1, 2), (-2, 33)

∵ All x-coordinates on f(x) multiplied by -1 to get the x-coordinates of g(x)

→ By using the 2nd rule above

∴ g(x) is the image of f(x) after reflection across the y-axis

∴ The relationship between the graphs of the two functions is

    "They are reflections of each other across the y-axis"

7 0
3 years ago
Find the vertex of the parabola whose equation is y = x2 + 8x + 12.
lara31 [8.8K]
We will transform the equation to the vertex form:
y = x² + 8 x + 12 = x² + 8 x + 16 - 16 + 12 =
= ( x + 4 )² - 4
Vertex form is: y = a ( x - k )² + h
Vertex coordinates are: ( - 4, - 4 ).
8 0
3 years ago
Read 2 more answers
Tammy and Leslie are best friends, and
photoshop1234 [79]

Tammy was taller at age 9, as she was 3.68 inches taller than Leslie.

<h3><u>Equations</u> </h3>

Given that Tammy can model her height using the equation, y = 2.2x + 35.5, where y represents her height at x years of age, while Leslie measured 50 inches at age 9, to determine who was taller at that age one must perform the following calculation:

  • Leslie = 50
  • Tammy = 2.2 x 9 + 35.5 = 18.18 + 35.5 = 53.68

Therefore, Tammy was taller at age 9, as she was 3.68 inches taller than Leslie.

Learn more about equations in brainly.com/question/10413253

#SPJ1

7 0
3 years ago
Please help braineist
beks73 [17]

Answer:

44

Step-by-step explanation:

5x8=40+4=44

5 0
3 years ago
Last week, Tina worked 7 hours on Monday, 9 hours on Tuesday, 9 hours on Wednesday, 10 hours on Thursday, 7 hours on Friday, and
ANEK [815]

Answer:

$2,928

Step-by-step explanation:

Using the equation below, note that for days in which she worked more than 8 hours, we will be multiplying the number hours worked over 8 hours by 91.5.

61 × 1.5=91.5

Let x equal hours less than or equal to 8.

Let y equal the number of hours worked over 8 hours.

Let t equal gross earnings.

Start with an equation:

61x+91.5y=t

Monday:

61(7)=427

Tuesday:

61(8)+91.5(1) = 579.5

Wednesday:

61(8)+91.5(1) = 579.5

Thursday:

61(8)+91.5(2) = 671

Friday:

61(7)=427

Saturday:

61(4)=244

Now, total the gross earnings of each day.

427+579.5+579.5+671+427+244

Solve.

2928

4 0
4 years ago
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