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tekilochka [14]
3 years ago
13

Select 3 of the below equations that represent the line that has a slope of -2 and a y-intercept of 5

Mathematics
1 answer:
aksik [14]3 years ago
8 0

Answer:

y = -2x + 5

y - 5 = -2x

2x + y = 5

Step-by-step explanation:

Hope this helps!!

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The number of leaves that fall off a tree n days after day 1 is given by the function f (n) = 3(2)".
densk [106]

Answer:

A. On the first day, 3 leaves fall.

B. D. The number of leaves that fall on a given day is 2 times the number of leaves that fell on the previous day.

Step-by-step explanation:

Given

f(n) = 3(2)^n

Solving (a) The meaning of 3.

3 represents the initial number of leaves (i.e. the first day) and this proved as follows.

On the first day, n = 0.

Substitute 0 for n in f(n) = 3(2)^n

f(0) = 3(2)^0

f(0) = 3*1

f(0) = 3

Solving (b) The meaning of 2.

2 represents the rate which leaves fall down.

In (a)

f(0) = 3

Take n = 1

Substitute 1 for n in f(n) = 3(2)^n

f(1) = 3(2)^1

f(1) = 3*2

f(1) = 6

When f(1) is divided by f(0), the result 2. So, the number of leaves doubles everyday

4 0
3 years ago
The function f(x) = (x − 4)(x − 2) is shown.What is the range of the function?
yuradex [85]

Answer:

The range is y ≥ -1

Step-by-step explanation:

∵ f(x) = (x - 4)(x - 2)

∴ f(x) = x² - 2x - 4x + 8

∴ f(x) = x² - 6x + 8 ⇒ quadratic function (ax² + bx + c) represented by

   parabola graphically

∵ a = 1 , b = -6 , c = 8

∴ x-coordinate of its vertex = -b/2a = -(-6)/2×1 = 3

∴ f(3) = (3)² - 6(3) + 8 = -1

∵ a is positive ⇒ the curve has minimum point and it's open upward

∴ the minimum point is (3 , -1)

∴ The range is y ≥ -1 ⇒ because the minimum value is -1

3 0
3 years ago
How many grams does she need to add to the snack mix to make 2 kilograms
Nutka1998 [239]

Answer: 89

Step-by-step explanation:

check on google

6 0
3 years ago
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Solve the equation and check.<br> - 14 = x + 14
guajiro [1.7K]

The answer will be -28. Hope it helps

6 0
2 years ago
To get ready for snack time, Joseph is putting together dishes of yogurt with fruit in them. He has five cups of strawberries. H
I am Lyosha [343]

Answer:

  • 20 dishes

Step-by-step explanation:

<u>Divide the total number of cups by the number required for each dish:</u>

  • 5 : 1/4 =
  • 5 * 4 =
  • 20
5 0
2 years ago
Read 2 more answers
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