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OLga [1]
3 years ago
11

Alexandra has 78 emails in her inbox. She deletes 47 emails. How many emails are left in her inbox? Draw jumps and label the num

bers line to show your thinking

Mathematics
1 answer:
luda_lava [24]3 years ago
7 0
There u go
hope that was helpful

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Complete the square to determine the minimum or maximum value of the function defined by the expression. x2 − 12x − 2
ad-work [718]

Answer:

The minimum value = -38

Step-by-step explanation:

∵ f(x) = x² - 12x - 2

∵ -12x ÷ 2 = -6x ⇒ -6 × x

∴ (x - 6)² = x² - 12x + 36

∴ Add and subtract 36 in f(x)

∴ f(x) = (x² - 12x + 36) - 36 - 2

∴ f(x) = (x - 6)² - 38 ⇒ completing square

∴ The vertex of the parabola is (6 , -38)

∵ Its minimum point because the coefficient of x² is positive

∴ The minimum value = -38

5 0
2 years ago
Which function results after applying the sequence of transformations to
Ad libitum [116K]

Answer:

The resulting function after the sequence of transformations is  f(x)=3(x+2)^5+1

Step-by-step explanation:

Given a function f(x)

  • the function a*f(x) will be a vertical stretch of factor a,  given a > 1
  • the function f(x) + b will be the translated function vertically up b units
  • the function f(x+c) will be horizontally translated function of the original by c units left

Remembering these points, we can apply the rules to x^5.

  • Strech vertically by 3 would be 3x^5
  • translate up 1 unit would be 3x^{5}+1
  • translate left 2 units would make it 3(x+2)^5+1

Hence the new function would be  3(x+2)^5+1

8 0
2 years ago
A manufacturer plans on building a better mousetrap. There is a 60% chance the mouse trap will produce a profit of $200,000 for
maksim [4K]
Expected value E(x) = 0.6(200,000) + 0.2(100,000) - 0.2(200,000) = 120,000 + 20,000 - 40,000 = 100,000

Therefore, the expected value is $100,000, so the company should build the mousetrap.
4 0
3 years ago
Read 2 more answers
A penny has a mass of 3 grams. What is the mass, in grams, of 8 pennies?
Alexxx [7]
Three grams for one penny. three times eight (pennies)=24 grams
4 0
3 years ago
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M=-2 (-3,4) how do you write it into slope intercept
Blizzard [7]

Answer:

y = -2x - 2

Plug the x- and y-values into the appropriate spaces in the slope-intercept form and see which value for b would make the equation true:

4 = -2(-3) +/- ?

4 = 6 - 2

4 = 4

I don't know if this makes sense, I'm sorry if it doesn't but the answer is correct because it goes through the point (-3,4)

3 0
3 years ago
Read 2 more answers
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