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andreyandreev [35.5K]
3 years ago
9

How do you put (x+5)(x-3)[x-(4-i)][x-(4+i)] into standard form

Mathematics
1 answer:
pickupchik [31]3 years ago
6 0
(x+5)(x-3)[x-(4-i)][x-(4+i)]
 \\ 
(x^{2}+5x-3x-15)(x-4+i)(x-4-i)
\\
(x^{2}+5x-3x-15)(x^{2} -4x-xi-4x+16+4i+xi-4i- i^{2} )
\\
(x^{2}+5x-3x-15)( x^{2} -8x+16- i^{2})
\\
(x^{2}+5x-3x-15)( x^{2} -8x+16-(-1))
\\
(x^{2}+5x-3x-15)( x^{2} -8x+16+1)
\\
(x^{2}+5x-3x-15)( x^{2} -8x+17) 
From there just distribute and simplify.
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The distance d (in feet) that it
Marta_Voda [28]

Answer:

40 mph

Step-by-step explanation:

To find the maximum speed at which the car can travel, as the distance it requires to stop is 168 feet, we just need to use the value of d = 168 in the equation, and then find the value of s:

168 = 0.05s^2 + 2.2s

0.05s^2 + 2.2s - 168 = 0

Using Bhaskara's formula: we have:

Delta = 2.2^2 + 4*0.05*168 = 38.44

sqrt(Delta) = 6.2

s1 = (-2.2 + 6.2)/0.1 = 40 mph

s2 = (-2.2 - 6.2)/0.1 = -84 mph (a negative value does not make sense as 's' is the speed of the car)

So the maximum speed of the car is 40 mph

3 0
3 years ago
All varieties of a certain brand of cookies are $3.50. A person buys peanut butter cookies and chocolate chip cookies. A. Write
vodka [1.7K]

Answer:

A.P+C=O

A(2).P+C=$7.00

B.A (1) that expression doesnt give the amount for both sets of cookiea all together its just shown as a letter.A(2) its shows p+c as $7.00 showing thats how much for both sets of cookies instead of having a letter to represent the amount payed.

PS:hope this helped good luck !

6 0
3 years ago
Solve for x and round to nearest tenth for both please and Thankyou:)
Orlov [11]

Answer:

For the first picture, 57.14

For the second picture, 27.04

5 0
2 years ago
Donna takes classes at both Westside community college and pinewood community college. at westside , class fees are $98 per cred
Alex777 [14]

Answer:

Expression for the combined total dollar amount she paid for her class fees is  (2185 - 17 w)

Step-by-step explanation:

Let Donna  is taking w credit hours at Westside.

Total combined credit hours at two schools =  19 hours

So, the number of credit hours at Pinewood  =  19 - w

The per hour fees credit of Westside community college = $98

So, the total fees paid for w hours  = w x Fees per hour

= w ( $98)  = $(98w)

⇒The fees Donna pays at Westside community college =  $ (98 w)

The per hour fees credit of Pinewood community college = $115

So, the total fees paid for (19 -w) hours  = (19 -w) x Fees per hour

= (19 -w) ( $115)  = $(2185 - 115 w)

⇒The fees Donna pays at Pinewood community college =$(2185 - 115 w)

Hence, the total fees paid by Donna

= Fees at Westside + Fees at Pinewood

= $ (98 w)  + $(2185 - 115 w)

= $(2185 - 17 w)

Hence, expression for the combined total dollar amount she paid for her class fees is $(2185 - 17 w)

8 0
3 years ago
(8x + 31) X<br> (16x - 9)
Marysya12 [62]

Answer:

<u>128x^2+424x-279 </u>

Step-by-step explanation:

Use the distributive property to get the answer

Use this for refrence https://www.khanacademy.org/math/pre-algebra/pre-algebra-arith-prop/pre-algebra-ditributive-property/a/distributive-property-explained

Hope this Helps!

7 0
4 years ago
Read 2 more answers
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