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Anastasy [175]
2 years ago
5

The graph of a function is f(x)=3√x.

Mathematics
1 answer:
suter [353]2 years ago
3 0

Answer:

F(0.75)= 3/2 sq. root 3

F(9)= 9

F(7)= 3 sq. root 7

b) x= +-1

x=+-4

x= +- 49/9

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A basketball player stands near the middle of the court and throws the ball toward the basket.
kompoz [17]

Answer:

A function to represent the height of the ball in terms of its distance from the player's hands is y=\frac{-1}{54}(x-18)^2+12

Step-by-step explanation:

General equation of parabola in vertex form y= a(x-h)^2+k

y represents the height

x represents horizontal distance

(h,k) is the coordinates of vertex of parabola

We are given that The  ball travels to a maximum height of 12 feet when it is a horizontal distance of 18 feet from the player's hands.

So,(h,k)=(18,12)

Substitute the value in equation

y=a(x-18)^2+12  ---1

The ball leaves the player's hands at a height of 6 feet above the ground and the distance at this time is 0

So, y = 6

So,6=a(0-18)^2+12

6=324a+12

-6=324a

\frac{-6}{324}=a

\frac{-1}{54}=a

Substitute the value in 1

So,y=\frac{-1}{54}(x-18)^2+12

Hence a function to represent the height of the ball in terms of its distance from the player's hands is y=\frac{-1}{54}(x-18)^2+12

8 0
4 years ago
Write the equation for a line in Slope-Intercept Form (y = mx +b) given the two points below (2,10) (3,-5)
kicyunya [14]

Given:

The two end points of a line are (2,10) and (3,-5).

To find:

The equation of the line in the slope intercept form.

Solution:

The slope intercept form of a line is

y=mx+b

Where, m is slope and b is the y-intercept.

The two end points of a line are (2,10) and (3,-5). So, the equation of the line is

y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)

y-10=\dfrac{-5-10}{3-2}(x-2)

y-10=\dfrac{-15}{1}(x-2)

y-10=-15(x-2)

On further simplification, we get

y-10=-15x+30

y=-15x+30+10

y=-15x+40

Therefore, the slope intercept form of the given line is y=-15x+40.

8 0
3 years ago
Reeeeeeeeeeeeeeeeeeeeeeeeeee help me pls brainliest
Deffense [45]

Answer:

the height of a baseball thrown into the air

Step-by-step explanation:

Bean sprouts do not decline in size in this case

The distance from home will only decline on the graph

The amount of money a student earns would increase in height on the graph

The only logical solution is the height of a baseball thrown into the air because the ball can increase in height, but it also comes down at some point, causing the graph to decrease.

4 0
3 years ago
I’ll give brainlist to whoever answers first and correctly
ale4655 [162]
The answer is c because if you do the math it’s 15/2
8 0
3 years ago
A highway curve has a radius of 118.0 m. At what angle should the road be banked so that a car traveling at 25.90 m/s has no ten
dimaraw [331]

Answer:

0.51 degrees

Step-by-step explanation:

6 0
4 years ago
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