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murzikaleks [220]
3 years ago
8

What is the range of the function y=x^2-5 where 0<x<10

Mathematics
1 answer:
abruzzese [7]3 years ago
3 0
The range is the bounds on y. If 0<x<10, since this is a function that increases as x increases, the maximum y value will be by x=10 and the minimum will be by x=0.

Plugging these values of x into the function gives y=(10)^2-5=100-5=95 and y=0-5=-5

However, since x can't actually equal 0 and 10, y cannot be exactly equal to - 5 and 95. Therefore, the range is -5<y<95
You might be interested in
The two angles of an obtuse triangle are 230 and 470. Find the third obtuse angle
Julli [10]

Answer:

the third obtuse angle is 110°.

Step-by-step explanation:

From the question, the 0s at the back of the given angles are meant to be degrees (°), since the sum of angles in a triangle cannot exceed 180°.

Hence, The question would be:

The two angles of an obtuse triangle are 23° and 47°. Find the third obtuse angle .

Step-by-step explanation:

In a triangle, there are three (3) angles which sum up to 180°.

Two of the angles are given which are 23° and 47°. Now, to determine the third angle which is an obtuse angle.

(NOTE: An obtuse angle is a type of angle that is greater than 90° but less than 180°).

Let the third obtuse angle be x

Then , we can write that

23° + 47° + x = 180° (Sum of angles in a triangle)

Then,

70° + x = 180°

x = 180° - 70°

x = 110°

Hence, the third obtuse angle is 110°.

4 0
3 years ago
If y varies directly as x, and y = 10 when x = 9, find y when x = 1/9
Vinvika [58]

Answer:

10/81

Step-by-step explanation:

let,

y=kx

y=10 when x=9

so,

10=k×9

or, k=10/9

when x=1/9

y=kx

or, y=(10/9)×(1/9)

or, y=10/81

5 0
3 years ago
(y + 5)(y – 9) = 0<br> need help asap!!
OLEGan [10]
Set each equation equal to zero. 

y + 5 = 0

Subtract 5 from both sides. 
y = 0 - 5
y = - 5

y - 9 = 0

Add 9 to both sides
y = 0 + 9
y = 9

y = - 5, 9
4 0
3 years ago
5(y+4)=6y need help in this math is for my son
Stolb23 [73]

Answer:

y =20

Step-by-step explanation:

5(y+4)=6y

Distribute

5y +20 = 6y

Subtract 5y from each side

5y-5y+20=6y-5y

20 =y

7 0
3 years ago
Read 2 more answers
What is the answer for number 8?
vfiekz [6]
<h2>527.52</h2>

Step-by-step explanation:

radius (r) = 6

height (h) = 8

total surface area = 2π×r×h + 2πr²

= (2×3.14×6×8) + (2×3.14×6×6)

= (301 44) + (226.08)

= 527.52

<h2>FOLLOW ME</h2>
3 0
3 years ago
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