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ser-zykov [4K]
3 years ago
7

What’s the vertex y=-1/2(x+3)^2-1

Mathematics
2 answers:
Gemiola [76]3 years ago
8 0
Use the vertex form,
y
=
a
(
x
−
h
)
2
+
k
y
=
a
(
x
-
h
)
2
+
k
, to determine the values of
a
a
,
h
h
, and
k
k
.
a
=
−
1
2
a
=
-
1
2
h
=
−
3
h
=
-
3
k
=
−
1
k
=
-
1
Find the vertex
(
h
,
k
)
(
h
,
k
)
.
(
−
3
,
−
1
)
Lena [83]3 years ago
7 0

Answer:

vertex = (- 3, - 1 )

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

y = - \frac{1}{2} (x + 3)² - 1 ← is in vertex form

with vertex = (- 3, - 1 )

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The sale tax on an item is %6. Express the total cost, C, in terms of the price of the item, P.
skelet666 [1.2K]
<h3>Answer: C = 1.06P</h3>

==========================================================

Explanation:

The sales tax is 6% of the price P

6% of P = 0.06P

Add on the original cost P to get P+0.06P = (1+0.06)P = 1.06P

The 1.06 indicates the final after tax cost is 106% of the original price.

You can think of it like 100% + 6% = 106% = 1.06

So that's how we end up with C = 1.06P

-----------

An example using actual numbers:

Let P = $100 be the initial cost before tax

6% of P = 0.06*P = 0.06*100 = 6 dollars is the tax

100+6 = 106 is the final cost

Note how C = 1.06P = 1.06*100 = 106

5 0
3 years ago
Find the slope of the line through the points (-9, 19) and (-13, 11).
Sidana [21]

Answer:

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Step-by-step explanation:

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