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SashulF [63]
3 years ago
15

Which function has a range of {y|y<_5}?

Mathematics
1 answer:
Sveta_85 [38]3 years ago
8 0

Answer:

f(x) = -(x-4)² + 5

Step-by-step explanation:

f(x) = -(x-4)² + 5

Has a maximum vertex at (4,5)

Which means the function has a greatest value of 5 at x = 4

Therefore the range is:

y《5

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hassan and eva rode their bikes from the same starting point. Hassan rode his bike 5/6 of a mile, while eve rode hers 4/7 of a m
NARA [144]

Answer: B

Step-by-step explanation:

8 0
2 years ago
Surface Area of the pyramid
hichkok12 [17]

Answer:

C

Step-by-step explanation:

the total surface area of such a pyramid is the sum of 5 areas :

1 bottom square (8×8)

4 side triangles

the area of a triangle is

baseline × height / 2

now, we know the baseline of the 4 triangles, but what is their height (at least we know, all 4 have the same height, as the pyramid is totally regular) ?

the height of the side triangles is the slant height of the pyramid (the distance from the middle of a sideline to the top of the pyramid).

we get this by imagining a right-angled triangle inside the pyramid :

one leg is the inner height of the pyramid.

the second leg is the connection on the bottom square from the base of the inner height to the middle point of a sideline). this is half the length of a sideline.

and the baseline (Hypotenuse) is the slant height of the pyramid.

we can use Pythagoras

c² = a² + b²

with c being the Hypotenuse (side opposite of the 90° angle).

slant height² = 7² + (8/2)² = 49 + 4² = 49 + 16 = 65

slant height = sqrt(65) = 8.062257748... in

so, we get a areas

bottom square = 8×8 = 64 in²

a side triangle = 8×sqrt(65)/2 = 4×sqrt(65) =

= 32.24903099... in²

all 4 side triangles = 4×32.24903099... =

= 128.996124... in²

and we get as total surface area

64 + 128.996124... = 192.996124... in² ≈ 193.00 in²

8 0
2 years ago
Please I need this ASAP
vlabodo [156]

Answer:

Step-by-step explanation:

Where is Ac leath

8 0
3 years ago
Read 2 more answers
I need help please this is due tomorrow
Mama L [17]

A

If she always sells 110 then it can be less but we dont know if its equal or if she sold more

7 0
3 years ago
Drag a statement or reason to each box to complete this proof.
mars1129 [50]

     Statements                                                  Reason

1. -6(x-4)= 42                                        Given

2. \frac{-6(x-4)}{-6} = \frac{42}{-6}       Division property of equality

" Division property of equality states that if we divide both sides of an equation by the same nonzero number, the equation remains equal".

3. x-4 = -7                                            Simplifying

4. x-4+4 = -7+4                                  Addition property of equality

"Addition property of equality states that if the same number is added to both sides of an equation, then the equality is still true".

5. x = -3                                               Simplifying

Therefore, the solution to the equation -6(x-4)= 42 is x = -3.

6 0
3 years ago
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