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Leno4ka [110]
3 years ago
9

Identify the vertex for (x-3)2 – 1.

Mathematics
2 answers:
Natasha_Volkova [10]3 years ago
7 0

Answer: Last Option

(3, -1)

Step-by-step explanation:

We have the following quadratic function:

f(x) =(x-3)^2 - 1

By definition for a quadratic function in the form:

f (x) = a (x-h) ^ 2 + k

the vertex of the function is always the point (h, k)

Note that for this case the values of h, a, and k are:

a = 1\\h = 3\\k = -1

Therefore the vertex of the function f(x) =(x-3)^2 - 1 is the point

(3, -1)

nalin [4]3 years ago
3 0

Answer:

D.  (3, -1).

Step-by-step explanation:

The vertex for ( x - a)^2 + b  is (a, b).

Comparing (x - 3)^2 - 1 with this we get:

a = 3 and b = -1.

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the height of a desk is 11 inches shorter than the height of a chair. Write and solve an equation to find the height of the desk
Nostrana [21]

d=c-11

Step-by-step explanation:

d is desk

c is chair

The height of the d (desk) is always going to be 11 inches shorter than the chair. So subtract 11 from c (chair) and you will find d  (desk).

If the chair is 13 inches....

d=13-11

d=2

If the chair is 32

d=32-11

d=21

This equation will work with numerous numbers to find the size of the desk. If you want you can find the height of the chair as well!

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3 years ago
Need help!! totally confused‼️
Lemur [1.5K]

Answer:

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Step-by-step explanation:

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3 years ago
Lucy is tiling her bathroom. She buys white and blue tiles in the ratio 13:2.Blue tiles cost £2.80 while white tiles cost £2.35.
krok68 [10]

Answer:

* Lucy spent £289.2 on tiles *

Step-by-step explanation:

We know that the tiles are present in a 13 to 2 ratio ( 13 : 2 ) so if there are 16 blue tiles that she buys, the number of red tiles bought should be represented the following -

\frac{13}{2} = \frac{x}{16} ... now this is only assuming that the 13 : 2 ratio is meant by white : blue tiles. Let's solve through cross - multiplication,

13 * 16 = 2x,

208 = 2x,

x = 104 white tiles

So if there are 104 white tiles, and 16 blue tiles, we can determine the total amount Lucy spent on tiles by associating the cost to the type of tile,

£2.80 * 16 = £44.8,

£2.35 * 104 = £244.4,

Total Amount Lucy Spent on Tiles = £44.8 + £244.4 = £289.2

8 0
3 years ago
Scientists were studying bears by catching, tagging, and releasing 24 bears. A month later, the scientists come back and catch 4
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26. 24 plus the two untagged.
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4 years ago
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garri49 [273]

Answer:

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