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Brut [27]
3 years ago
7

Which function has a range of {y|y ≤ 5}?

Mathematics
2 answers:
Sliva [168]3 years ago
4 0

Answer:

f(x)=-(x-4)^2+5

Step-by-step explanation:

Desmos graphing calculator is a very good help for these type of graphing calculations.

Radda [10]3 years ago
3 0
Range is ouput
testing limints
basically see the vertices
y=a(x-h)^2+k
(h,k) is vertex

also, when a is negative, graph opens down
when a is positive, graph opens up


y<u><</u>5
k musbe 5

eliminate last 2

since less than, must open down
negative a
second one

f(x)=-(x-4)^2+5 is ansre
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On a number line, a number, b, is located the same distance from 0 as another number, a, but in the opposite direction. The numb
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b

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3 years ago
What is the solution of the system equations y =-3x +8 y = -5x -2
Talja [164]

Answer:

Since both equations are equal to y, we can set them equal to each other.

y =-3x +8

y = -5x -2

-3x +8 = -5x -2

Solve for x.To do this, we need to get x by itself. First, move all the numbers to one side of the equation, and all the variables to the other.

-3x +8 = -5x -2

Add 5x to both sides

-3x+5x +8=-5x+5x -2

2x+8=-2

Subtract 8 from both sides

2x+8-8 = -2-8

2x=-10

Now, all the numbers are on one side, with the variables on the other. x is not by itself, it is being multiplied by 2. To undo this, divide both sides by 2

2x/2= -10/2

x= -5

Now, to find y, substitute -5 in for x in one of the equations.

y = -5x -2

y= -5(-5) -2

y=25-2

y=23

Put the solution into (x,y)

<u><em>The solution is (-5, 23)</em></u>

8 0
3 years ago
Four friends participated in a free throw contest. Sean made twice as many
Wittaler [7]

Answer;

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Sorry I cannot give proper explanation because of typo issues.

Hope that can help.

4 0
2 years ago
How wide is a rectangular table with a length of 2/3 yard yard and an area of 1/2 square yard?
mylen [45]
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5 0
3 years ago
1. A plane is flying at an altitude of 13000 feet. The angle of depression from the plane to a control tower is 20 degrees. The
Mariulka [41]

Answer:

see explanation

Step-by-step explanation:

There is a right triangle formed between the height above the tower to the plane, the horizontal and the line from the tower to the plane.

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The angle between the plane and the tower is 20° , angle of depression.

Using the tangent ratio in the right triangle formed, with the adjacent side being the horizontal ( hor ) distance, then

tan20° = \frac{opposite}{adjacent} = \frac{12850}{hor} ( multiply both sides by hor)

hor × tan20° = 12850 ( divide both sides by tan20° )

hor = \frac{12850}{tan20} ≈ 35305 ft ( to the nearest foot )

(2)

Arianna is 60 + 5 = 65 ft above the ground ( to her eye level )

Using the right triangle formed with legs 65 and 37  and angle of depression x, then

tanx° = \frac{opposite}{adjacent} = \frac{37}{65} , thus

x = tan^{-1} (\frac{37}{65} ) ≈ 30° ( to the nearest degree )

4 0
3 years ago
Read 2 more answers
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