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3 years ago

PLZ HELP ASAP!! MARKING BRAINIEST!! Plot the axis of symmetry and the vertex for this function: h(x) = (x − 5)2 − 7.

Mathematics

1 answer:

jeka943 years ago

8 0

Answer:

see below

Step-by-step explanation:

h(x) = (x − 5)^2 − 7

This is in vertex form

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

where ( h,k) is the vertex and x=h is the axis of symmetry

( 5,-7) is the vertex and x=5 is the axis of symmetry

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A 60 by 80-foot rectangular walk in a park surrounds a flower bed. If the walk is of uniform width and its area is equal to the

alekssr [168]

Answer: 17.14 ft

Step-by-step explanation:

The area of the flower bed is 60 ft x 80 ft = 4800 ft²

The perimeter of the sidewalk that surrounds the flower bed is:

2(60 ft) + 2(80 ft)
= 120 ft + 160 ft
= 280 ft

The area of the sidewalk is:

perimeter x width
= 280w

area of sidewalk = area of flower bed

280w = 4800

$\text{w}=\dfrac{4800}{280}$

$=\dfrac{120}{7}$

≈ 17.14

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3 years ago

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tigry1 [53]

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FALSE
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3 years ago

Jamie has 79 popsicles. Vincent has seven times as many as Jamie. How many popsicles do they have all together?

maxonik [38]

(79 x 7) + 79 = 632

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3 years ago

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3 years ago

The random variable X~(30,2^2) Find p(X<33) Find p(X>26)

Ostrovityanka [42]

Answer:

i) P(X<33) = 0.9232

ii) P(X>26) = 0.001

Step-by-step explanation:

Step(i):-

Given that the mean of the Population = 30

Given that the standard deviation of the Population = 4

Let 'X' be the Normal distribution

Step(ii):-

Given that the random variable X = 33

$Z = \frac{x-mean}{S.D}$

$Z = \frac{33-30}{2} = 1.5$ >0

P(X<33) = P( Z<1.5)

= 1- P(Z>1.5)

= 1 - ( 0.5 - A(1.5))

= 0.5 + 0.4232

P(X<33) = 0.9232

Step(iii) :-

Given that the random variable X = 26

$Z = \frac{x-mean}{S.D}$

$Z = \frac{33-26}{2} = 3.5$ >0

P(X>26) = P( Z>3.5)

= 0.5 - A(3.5)

= 0.5 - 0.4990

= 0.001

P(X>26) = 0.001

5 0

3 years ago