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3 years ago

Hey guys.. Please, I need your help right now. This is for tomorrow morning. ASAP

1 answer:

5 0

Remember
a^2-b^2=(a-b)(a+b)

a.
ok so look at last bit

-9x^2+1
can be rearanged into
1-9x^2
look familiar?
1^2-(3x)^2
(1-3x)(1+3x) or
(1-3x)(3x+1)
we nowhave
(3x+1)(5x-4)-(x-12)(3x+1)+(1-3x)(3x+1)
factor out (3x+1)
(3x+1)(5x-4-(x-12)+1-3x)
(3x+1)(2x-3-x+12)
(3x+1)(x+9)

b.
easy

a^2-b^2=(a-b)(a+b)
(4x+5)^2-(2x-3)^2=
(4x+5-(2x-3))(4x+5+2x-3)=
(4x+5-2x+3)(6x+2)=
(2x+8)(6x+2)
we can factor out the 2 from each
(4)(x+2)(3x+1)

a(x)=(3x+1)(x+9)
b(x)=(4)(x+2)(3x+1)

You might be interested in

F(x)=4x-3, g(x)=10-x<br> Work out gf(x)?

Sedbober [7]

Step-by-step explanation:

Given

f(x) = 4x - 3

g(x) = 10 - x

So Now

gf(x) = g( 4x - 3)

= 10 - 4x + 3

= 13 - 4x

Hope it will help :)❤

3 0

3 years ago

A rectangular lap pool with a length of 40ft and a width of 15ft is surrounded by a 5 ft wide deck. What is the area of the deck

damaskus [11]

The rectangle pool would be 600 feet

3 0

3 years ago

I think i got the answer but a second opinion would be greatly appreciated!

AlexFokin [52]

Answer:

Your answer would be B: 30 ft squared

Step-by-step explanation:

Find the area of the circle: 5.5 (radius) multiply it by itself then multiply that by 3.14 which gets you 94.985. Now find the area of the square which is 8*8 = 64. Subtract 64 from 94.985 and your answer will be 30.985. The questions asks for the approximate (estimate), so the closest one would be 30 ft squared

4 0

3 years ago

From a horizontal distance of 80 m, the angle of elevation to the top of a flagpole is 18 degree. Calculate the height of the fl

shtirl [24]

Answer:

26m

Step-by-step explanation:

The value of the opposite side (height of the flagpole) is to be determined given the angle and the value of the adjacent side(horizontal distance )

We would use tan 18 to determine the value of the missing side

tan 18 = opposite / adjacent

0.3249 = opposite / 80

0.3249 x 80 = 26m

please find attached a graphical interpretation of this question

7 0

3 years ago

If the scores per round of golfers on the PGA tour are approximately normally distributed with mean 69.3 and standard deviation

shusha [124]

Answer:

0.6069

Step-by-step explanation:

Given an approximately normal distribution:

Z = (x - mean) / standard deviation

Mean = 69.3 ; Standard deviation = 2.58

For :

P(x < 70)

Z = (70 - 69.3) / 2.58

Z = 0.7 / 2.58

Z = 0.2713

P(Z < 0.2713) = 0.6069

8 0

3 years ago