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pantera1 [17]
3 years ago
13

The graph of function f is shown. Function g is represented by the table. Which statement correctly compares the two functions?

Mathematics
1 answer:
Dafna1 [17]3 years ago
7 0

Answer:

Option (A)

Step-by-step explanation:

Graph of function 'f' represents,

x - intercept of the function 'f' → (1, 0)

y - intercept of the function → (0, 6)

As x-approaches ∞, value of the function approaches (-2)

Points in the given table is for the another function 'g'

x - intercept of the function 'g' → (1, 0) [For x - intercept, y = 0]

y - intercept of the function 'g' → (0, 3) [For y - intercept, x = 0]

As x approaches ∞, value of function 'g' approaches (-1).

Therefore, x - intercepts of both the functions are same but end behavior are different when x → ∞.

Option (A) will be the answer.

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Question down below thanks
lara [203]

Answer:

-x + 1 > 3, and 4x + 6 < -2

Step-by-step explanation:

The inequality reads x < -2, so the arrow follows any values that are less than -2. So we need to simplify each inequality in the following options to see which match x < -2.

-4x+3> -5 simplifies to x < 2 so it's wrong

-2x + 4 > -4 simplifies to x < 4 so it's wrong

-x + 1 > 3 simplifies to x < -2, so it's right

2x + 5 < -3 simplifies to x < -4, so it's wrong

4x+ 6 < -2 simplifies to x < -2, so it's right

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3 years ago
Does anyone know how to do this?
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3 years ago
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How many lines are determined by two points?<br>A. 2<br>B. infinite<br>C. 1<br>D. 0​
sukhopar [10]
Only one line can pass through 2 points.
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2 years ago
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g A popular theory is that presidential candidates have an advantage if they are taller than their main opponents. Listed are he
stira [4]

Answer:

Step-by-step explanation:

Corresponding heights of presidents and height of their main opponents form matched pairs.

The data for the test are the differences between the heights.

μd = the​ president's height minus their main​ opponent's height.

President's height. main opp diff

191. 166. 25

180. 179. 1

180. 168. 12

182. 183. - 1

197. 194. 3

180. 186. - 6

Sample mean, xd

= (25 + 1 + 12 - 1 + 3 + 6)/6 = 5.67

xd = 5.67

Standard deviation = √(summation(x - mean)²/n

n = 6

Summation(x - mean)² = (25 - 5.67)^2 + (1 - 5.67)^2 + (12 - 5.67)^2+ (- 1 - 5.67)^2 + (3 - 5.67)^2 + (- 6 - 5.67)^2 = 623.3334

Standard deviation = √(623.3334/6 sd = 10.19

For the null hypothesis

H0: μd ≥ 0

For the alternative hypothesis

H1: μd < 0

The distribution is a students t. Therefore, degree of freedom, df = n - 1 = 6 - 1 = 5

The formula for determining the test statistic is

t = (xd - μd)/(sd/√n)

t = (5.67 - 0)/(10.19/√6)

t = 1.36

We would determine the probability value by using the t test calculator.

p = 0.12

Since alpha, 0.05 < than the p value, 0.12, then we would fail to reject the null hypothesis.

Therefore, at 5% significance level, we can conclude that for the population of heights for presidents and their main​ opponents, the differences have a mean greater than 0 cm.

5 0
3 years ago
Andrea conducts a science experiment and observes that the height of a plant depends on the amount of sunlight it receives. The
Nezavi [6.7K]

ANSWER

As given in question

plant’s height = 37 centimeters

it grows at a rate of 0.004 centimeter per hour of sunlight

Andrea conducts a science experiment and observes that the height of a plant depends on the amount of sunlight it receives.

the number of hours of sunlight = s

Than the equation become in the form

f(s) = 0.004s + 37

this equation shows the  height of the plant .

Hence proved

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3 years ago
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