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3 years ago

M^2 - 4m +8 = -21 Solve the quadratic equation by completing the square

Mathematics

1 answer:

pshichka [43]3 years ago

6 0

Answer:

m^2-4m=-29

m^2-4m+4=-29+4

(m-2)^2=-25

m=2+-5i

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Let p represent any number in the interval (- 18,22). Rewrite the possible values for p in inequality notation.

Nataliya [291]

Answer:

$-18 < p < 22$

Step-by-step explanation:

We are given the following information in the question.

The open interval: (- 18,22).

Let p belong to the given interval then p represents all the values belonging to the given interval.

Open Interval: An open interval is a interval that does not include the end points.

Thus, we can write:

$-18 < p < 22$

is the required inequality form required.

That is p can take values greater than -18 and smaller than 22.

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3 years ago

A set of average city temperatures in October are normally distributed with a mean of

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2 years ago

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There are three options for fans purchasing a band's new release CD. They can purchase the CD, a premium CD bundle, or a deluxe

cluponka [151]

Answer:

The price of CD's = $15

The price of deluxe bundles = $85

The price of premium bundles. = $ 35 ....

Step-by-step explanation:

Let c represents the number of CD's

Let d represents the number of deluxe bundles

Let p represents the number of premium bundles.

Now according to the given statement:

c = $15

d = c+2p =

d = 15+2p --------equation 1

455c+87p+35d = $12,845 --------equation 2

Now substitute the value of d in equation 2 to find the value of p

455c+87p+35d = $12,845

455(15)+87p+35(15+2p) = $12,845

6825+87p+525+70p=$12,845

Now combine the like terms:

6825+157p+525 = $12,845

Now shift all the like terms to the R.H.S

157p= 12845-6825-525

157p = 5495

Divide both sides by 157

157p/157 = 5495/157

p = 35

Now substitute the value p =35 in equation 1.

d = 15+ 2p

d = 15+2(35)

d = 15+70

d = 85

Therefore we have found that,

The price of CD's = $15

The price of deluxe bundles = $85

The price of premium bundles. = $ 35 ....

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3 years ago

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Answer:

Step-by-step explanation:

you find the L.C.M

18 234 270 324

13 13 15 18

3 1 15 18

5 1 5 6

6 1 1

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1 year ago

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Answer:

Since the triangles are congruent, AB=ED so AB=14

Angles F is congruent to angle C so F=39 degrees

Step-by-step explanation:

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2 years ago

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