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Alexeev081 [22]
3 years ago
12

Find the equation of the axis of symmetry and the coordinates of vertex of the functions =2x^2+4x-3

Mathematics
1 answer:
SVEN [57.7K]3 years ago
8 0
Hello,

Find the equation of the axis of symmetry is like find the maximum or minimum point of this function.

f(x)=2x^2+4x-3\\\\\alpha=-\dfrac{b}{2a}=-\dfrac{4}{4}=-1\\\\

The equation of the axis of symmetry is then :   x=-1

\beta=f(\alpha)=2(-1)^2+4(-1)-3=2-4-3=-5

Coordinates of vertex :   (\alpha,\beta)=(-1;-5)
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3 0
3 years ago
joe spends $8 on lunch and $6.50 on dry cleaning. He also buys 2 shiets that cost the same amount. joe spendes a total of $52. w
ANEK [815]
X=amout the shirts cost
52=8+6.50+2x
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4 0
2 years ago
PLEASE SOLVE THIS QUICKLY
weqwewe [10]

Answer:

Step-by-step explanation:

The lady gets paid $8 per hour that the shop is opened, so multiply the pay rate ($8) by the amount of hours the shop is opened
$8 * 8 = $64

Now add the $64 onto the expense of running the shop

$64 + $240 = $304

Now take that amount away from Friday's sales

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Profit($226) = Income($530) - Expenses($304)

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6 0
1 year ago
In a circle of radius 10 cm, a sector has an area of 40 (pi) sq. cm. What is the degree measure of the arc of the sector?
Rashid [163]

Answer:

144°

Step-by-step explanation:

First, find the area of the circle, with the formula A = \pir²

Plug in 10 as the radius, and solve

A = \pir²

A = \pi(10²)

A = 100\pi

Using this, create a proportion that relates the area of the sector to the degree measure of the arc.

Let x represent the degree measure of the arc of the sector:

\frac{40\pi }{100\pi } = \frac{x}{360}

Cross multiply and solve for x:

100\pix = 14400\pi

x = 144

So, the degree measure of the sector arc is 144°

6 0
3 years ago
Read 2 more answers
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