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3 years ago

8

The table shows data that were collected on a hot-air balloon. Which function f(x) best models the data?

1 answer:

slamgirl [31]3 years ago

6 0

For the answer to the question above asking the <span>function f(x) best models the data? The f(x) models are not given but to answer this question</span> just convert the given from meter to kilometer by dividing the number by 1000. this is because 1000 meters is equal to 1 kilometers. The answer is 0.1 km

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A book claims that more hockey players are born in January through March than in October through December. The following data sh

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3 years ago

Help me !! I don't know how to explain

riadik2000 [5.3K]

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3 years ago

Write the rule for the linear function. Remember a function rule is written using f(x)

Marina CMI [18]

Answer:

The rule for the linear function will be:

$f(x) = -2x+5$

Step-by-step explanation:

We know that linear function can be represented using the slope-intercept formula

y = mx+b

where m is the slope and b is the y-intercept

Given the function is linear

Taking two points from the table to determine the slope

(1, 3)

(2, 1)

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(1,\:3\right),\:\left(x_2,\:y_2\right)=\left(2,\:1\right)$

$m=\frac{1-3}{2-1}$

$m=-2$

Using the point-slope form of the line equation

$y-y_1=m\left(x-x_1\right)$

where m is the slope of the line and (x₁, y₁) is the point

substituting the values m = -2 and the point (1, 3)

$y-y_1=m\left(x-x_1\right)$

$y - 3 = -2 (x-1)$

$y-3 = -2x+2$

adding 3 to both sides

$y-3+3 = -2x+2+3$

$y = -2x+5$

or

$f(x) = -2x+5$

Therefore, the rule for the linear function will be:

$f(x) = -2x+5$

4 0

3 years ago

Carol wants to make a quilt using a scale of 1.5 inches=2 feet. Her scale drawing is 7.5 inches by 10.5 inches. What is the area

cestrela7 [59]

Answer:

140 ft

Step-by-step explanation:

7 0

3 years ago

The two lines y= 6x+15 and y= mx+4 intersect at x= -2. What is the y-coordinate of their intersection point

taurus [48]

Answer:

The y-coordinate of their intersection point is 3

That is y=3

Step-by-step explanation:

Given two lines are y=6x+15 and y=mx+4

Given that the two lines intersect at x=-2

To find the y coordinate of their intersection point :

Equating the two lines

6x+15=mx+4

6x+15-mx-4=0

6x-mx+11=0

(6-m)x+11=0

At x=-2 (6-m)x+11=0

(6-m)(-2)+11=0

(6-m)(-2)=-11

$6-m=\frac{11}{2}$

$-m=\frac{11}{2}-6$

$-m=\frac{11-12}{2}$

$-m=\frac{-1}{2}$

$m=\frac{1}{2}$

Substitute the value $m=\frac{1}{2}$ in y=mx+4 we get

$y=\frac{1}{2}x+4$

At x=-2 $y=\frac{1}{2}(-2)+4$

$=-1+4$

$=3$

Therefore y=3

Therefore the y-coordinate of their intersection point is 3

7 0

3 years ago