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Vesnalui [34]
3 years ago
6

150% of what length is 66 cm

Mathematics
1 answer:
svet-max [94.6K]3 years ago
6 0

let's say is "x", thus "x" is the 100%.

we know that 66 is 150%, what is "x"?


\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 66&150\\ x&100 \end{array}\implies \cfrac{66}{x}=\cfrac{150}{100}\implies \cfrac{66}{x}=\cfrac{3}{2} \\\\\\ 132=3x\implies \cfrac{132}{3}=x\implies 44=x

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The range of the function f(k) = k2 + 2k + 1 is {25, 64}. What is the function’s domain? {5, 8} {-5, -8} {3, 8} {4, 7} {4, 8}
Sergeu [11.5K]
I think the answer is {5,8}
4 0
3 years ago
13. (07.05 MC) What is the solution to the equation 5x + 2(x - 4) = 5x + x - 10? (1 point) O​
TEA [102]

Answer:

x = -2

Step-by-step explanation:

5x + 2(x - 4) = 5x + x - 10

First, we need to to multiply out the parathesis in the equation:

5x + 2(x - 4) = 5x + x - 10

5x + 2x - 8 = 5x + x - 10

Next, we can combine "like terms" to simplify the equation further:

5x + 2x - 8 = 5x + x - 10

7x - 8 = 6x - 10

Now we can isolate the variable "x" to one side:

7x - 8 = 6x - 10

x - 8 = -10

x = -2

To check our work, we can replace x with -2 in our original equation:

5x + 2(x - 4) = 5x + x - 10

5(-2) + 2 (-2 - 4) = 5(-2) + -2 - 10

-10 + 2 (-6) = -10 -2 - 10

-22 = -22

I hope this helps!

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7 0
3 years ago
DEFG is an isosceles trapezoid with bases FE and<br> GD. DE = 5x -2, and FG = 4x + 2. Find FG.
dalvyx [7]

Answer:

FG is 18 units

Step-by-step explanation:

if the trapezoid is isosceles then DE = GF so we can create this equation:

4x + 2 = 5x - 2

4x = 5x - 4

-x = -4

x = 4

FG = 4(4)+2 which is 18

4 0
3 years ago
Help please! thank you
Lorico [155]

Answer:

use a hint it usally helps me

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
The illustration below shows the graphs of fourteen functions.
Travka [436]

Due to <em>length</em> restrictions, we kindly invite to check the explanation of this question to understand the derivation of the <em>polynomic</em> expressions.

<h3>How to determine a family of cubic functions</h3>

<em>Cubic</em> functions are polynomials of grade 3. In this case, we have pairs of <em>cubic</em> functions of the following form:

y = (x - h)³ + k       (1)

y = - (x - h)³ + k     (2)

a) Where (h, k) are the coordinates of the vertex of each <em>cubic</em> function. There is a translation of (x, y) = (3, 1) between each two <em>consecutive</em> pairs of <em>cubic</em> functions. Hence, we have the following fourteen cubic functions:

  1. y = (x + 9)³ - 3
  2. y = - (x + 9)³ - 3
  3. y = (x + 6)³ - 2
  4. y = - (x + 6)³ - 2
  5. y = (x + 3)³ - 1
  6. y = - (x + 3)³ - 1
  7. y = x³
  8. y = - x³
  9. y = (x - 3)³ + 1
  10. y = - (x - 3)³ + 1
  11. y = (x - 6)³ + 2
  12. y = - (x - 6)³ + 2
  13. y = (x - 9)³ + 3
  14. y = - (x - 9)³ + 3

b) Another family of functions with a similar pattern is shown below:

  1. y = (x + 9)² - 3
  2. y = - (x + 9)² - 3
  3. y = (x + 6)² - 2
  4. y = - (x + 6)² - 2
  5. y = (x + 3)² - 1
  6. y = - (x + 3)² - 1
  7. y = x²
  8. y = - x²
  9. y = (x - 3)² + 1
  10. y = - (x - 3)² + 1
  11. y = (x - 6)² + 2
  12. y = - (x - 6)² + 2
  13. y = (x - 9)² + 3
  14. y = - (x - 9)² + 3

To learn more on cubic functions: brainly.com/question/25732149

#SPJ1

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