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lutik1710 [3]
3 years ago
12

Write the equation of the function of a parabola with vertex at (–1,–2) and a point (1,–6) that lies on the curve.

Mathematics
1 answer:
Olenka [21]3 years ago
4 0

Answer:

f(x) = -(x + 1)² - 2

Step-by-step explanation:

f(x) = a(x - h)² + k

-6 = a(1 - -1)² + -2

-6 = a(4) -2

-4 = 4a

a = -1

f(x) = -(x + 1)² - 2

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Mr. Li and Ms. Brown both sell used cars. Mr. Li sells a car for $9950 and earns $447.75 commission. Ms. Brown sells a car for $
bazaltina [42]

Answer:

Mr. Li

Step-by-step explanation:

$447.75 is 4.5% of $9,950 - Mr. Li earns a 4.5% commission

$453.20 is 4.4% of $10300 - Ms. Brown earns a 4.4% commission

4 0
3 years ago
A plane owned by Fiji Link ATR72 has three engines—a central engine and an engine on each
Licemer1 [7]
P(centre engine and left fail) = 0.004 x 0.007 = 0.000028
P(centre engine and right fail) = 0.004 x 0.007 = 0.000028
P(all three engines fail) = 0.004 x 0.007 x 0.007 = 0.000000196

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3 0
3 years ago
PLEASE HELP! 25 PTS!!
zubka84 [21]

Answer:

Solution given:

f(x)=\frac{x-16}{x^2+6x-40}

g(x)=\frac{1}{x+10}

now

f(x)+g(x)=\frac{x-16}{x^2+6x-40}+\frac{1}{x+10}....(1)

now

factoring x²+6x-40

we get

x²+10x-4x-40

x(x+10)-4(x+10)

(x+10)(x-4)

now substituting in equation 1 ,we get

f(x)+g(x)=\frac{x-16}{(x+10)(x-4)}+\frac{1}{x+10}

taking l.c.m

=\frac{(x-16)+(x-4)}{(x-10)(x-4)}

=now

opening bracket

\frac{x-16+x-4}{x²-10x-4x+40}

=\frac{2x-20}{x²+6x-40}

So

answer is :

B. \bold b\frac{2x-20}{x^2+6x-40}

6 0
3 years ago
Point A is located at (−1,−5). The midpoint of line segment AB is point C(2,3). ​ What are the coordinates of point B ?
tamaranim1 [39]

For a segment AB, the coordinates of the middle point C are:

xc=(xa+xb)/2,

yc=(ya+yb)/2.

Now, you know points A and C. Thus we get:

xb=2×xc-xa

yb=2×yc-ya

With numerical values:

xb=2×2-(-1)=4+1=5

yb=2×3-(-5)=6+5=11

Answer: B(5, 11)

7 0
3 years ago
Is this statistical question? Explain<br> What is the shoe size of seventh-grade students?
mel-nik [20]
I think it is a statistical question
6 0
3 years ago
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