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3 years ago

Which of the following tables represents a function?

Mathematics

1 answer:

Karolina [17]3 years ago

6 0

Answer: the second one

Step-by-step explanation:

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A colony of flowers is pollinated by hummingbirds and sunbirds. Let H represents the number of hummingbirds and S represent the

zloy xaker [14]

Complete Question:

A colony of flowers is pollinated by hummingbirds and sunbirds. Let H represents the number of hummingbirds and S represent the number of sunbirds that must pollinate the colony so it can survive until next year.

6H+ 4S> 74

This year, 8 hummingbirds pollinated the colony. What is the least number of sun birds that must pollinate the colony to ensure that it will survive until next year?

Answer:

The least number of sun birds is 7

Solution:

Given inequality is:

6H + 4S > 74

Where,

H is the number of hummingbirds

S is the number of sunbirds

This year, 8 hummingbirds pollinated the colony

Substitute H = 8 in given inequality

6(8) + 4S > 74

48 + 4S > 74

Subtract 48 from both sides

48 + 4S - 48 > 74 - 48

4S > 26

Divide both sides by 4

S > 6.5

Hence the least number of sun birds is 7

7 0

3 years ago

Surface area of solid cuboid 8cm 6cm 2cm

strojnjashka [21]

Answer:

152 $\text{cm}^2$

Step-by-step explanation:

We know that the total surface area of a cuboid is the sum of the surface area of all six of its faces.

We also know that each opposing side has the same surface area. Thus the total surface area is equal to:

$2*(8*6+8*2+6*2)\\\\=2*(48+16+12)\\=2*76\\=152$ ( $\text{cm}^2$ )

6 0

2 years ago

What is the domain of the function represented by the graph?

dezoksy [38]

Answer: Choice C. $x \ge -3$

============================================

Explanation:

The domain is the set of all allowed x inputs.

Here we see that x = -3 is the smallest x value possible as it is from the left-most point. The graph goes on forever to the right, so there is no largest x value. Effectively infinity is the largest x value even though infinity is not a number.

We can say the domain is $-3 \le x < \infty$ which can be simplified to $-3 \le x$ or $x \ge -3$

In short: x can be -3 or larger.

8 0

3 years ago

Primitive function for: 1. f(x)=4e2x+e−x, sådan att F(0)=2

Free_Kalibri [48]

The primitive function for $f(x) = 4e^{2x} + e^{-x}$ is given by it's indefinite integral.

To calculate it, recall:

$\frac{d}{dx}e^{ax}=ae^{ax}$

$\int c f(x)dx = c\int f(x)dx$

Let's begin

$\int 4e^{2x}+e^{-x}dx \\4\int e^{2x}dx+ \int e^{-x}dx\\4\frac{e^{2x}}{2}+\frac{e^{-x}}{-1} + c\\$

$F(x) = 2e^{2x}-e^{-x} +c$

To find the costant, we just need to use the fact that $F(0)=2$

$F(0) = 2 \\4e^{0}+e^{0} + c =2\\5+c =2\\c=-3$

Therefore,

$\boxed{F(x) = 2e^{2x} - e^{-x} -3 }$

6 0

2 years ago

Ben claims that 12 is a factor of 24.how can you check whether he is correct?

Anna71 [15]

Divide the 24 by Ben's 12 .

If his 12 is a factor, then the division will come out even,
and the answer will be a whole number.

A). 6 x 4 = 24

B). 5 x 9 = 45

C). 3 x 8 = 24

D). 6 x 9 = 54

8 0

2 years ago