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kozerog [31]
3 years ago
14

A line's y-intercept is 3, and its slope is 1.

Mathematics
1 answer:
8090 [49]3 years ago
3 0

Answer:

Standard form for straight line

y = m x + b

If x = 0 then y = b = 3

y = m x + 3

Since m is the slope the requested equation is y = x + 3

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A circle with a shaded sector has a circumference of 12 pi millimeters. What is the area of the shaded sector? Express the answe
valentinak56 [21]

Answer:

The answer is C. 8 mm

Step-by-step explanation:

For me, i was able to divide the 80 by 12 and get 6.667 thus i was able to round up and conclude the answer in the answer choices

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3 years ago
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At the craft store, Kim bought a bag of marbles. In the bag there were 20 blue marbles and 30 green marbles. What percent of the
Nesterboy [21]

Answer:

60%

Step-by-step explanation:

percent of green marbles = (total number of green marbles / total number of marbles in the bag) x 100

total number of marbles in the bag = 30 + 20 = 50

30 / 50 x 100 = 60%

6 0
2 years ago
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which is a shrink of an exponential growth function? a. f(x) = 1/3(3)^x b. f(x) = 3(3)^x c. f(x) = 1/3(1/3)^x d. f(x) = 3(1/3)^x
Gnesinka [82]

Answer: option a.

f(x)=\frac{1}{3} (3)^x


Explanation:


A <em>shrink</em> of a function is a <em>shrink</em> on the vertical direction. It means that for a certain value of x, the new function will have a lower value, in the intervals where the function is positive, or a higher value, in those intervals where the function is negative. This is, the image of the new function is shortened in the vertical direction.


That is the reason behind the rule:

  • given f(x), the graph of the function a×f(x), when a > 1, represents a vertical stretch of f(x),
  • given f(x), the graph of the function a×f(x), when a < 1, represents a vertical shrink of f(x).

So, we just must apply the rule: to find a shrink of an exponential growth function, multiply the original function by a scale factor less than 1.


Since it <em>is a shrink of</em> <em>an exponential growth function</em>, the base must be greater than 1. Among the options, the functions that meet that conditon are a and b:


a. f(x)=\frac{1}{3} (3)^x \\ \\ b.f(x) = 3(3)^x


Now, following the rule it is the function with the fraction (1/3) in front of the exponential part which represents a <em>shrink of an exponential function</em>.

8 0
3 years ago
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Number sequence 3 6 4 8 6 12 10
Jobisdone [24]
The sequence is times 2 minus 2
3 x 2 = 6 - 2 = 4 
10 x 2 = 20
20 - 2 = 18
4 0
3 years ago
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The domain of this function is {–2, 3}. What is the minimum value in the range of this function? F(x) = -2x + 5
LenKa [72]

Answer:

-1

Step-by-step explanation:

Range are the output functions f(x) for input functions x

Since the minimum input functions is -2, we are to find the output that gives the lowest value

Given

F(x) = -2x + 5

Whn x = -2

F(-2) = 2(-2)+5

F(-2) = -4+5

F(-2) = 1

When x = 3

F(3) = -2(3)+5

F(3) = -6+5

F(3) = -1

This shows that the minimum value function is -1

3 0
3 years ago
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