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sergiy2304 [10]
3 years ago
6

Factor the expression. 9b2 – 25

Mathematics
2 answers:
rewona [7]3 years ago
5 0

Answer: (3b + 5)(3b - 5)

Because both terms, 9b² and 25, are perfect squares, you can factor by taking the square roots of both terms.

The square root of 9b² is 3b (3b × 3b = 9b²).

The square root of 25 is 5 (5 × 5 = 25).

9b² - 25 has a negative, so the factored expression would be

(3b + 5)(3b - 5). The signs (+ and -) alternate in this case because the  expression, 9b² - 25, has no middle term.

You can check your work by using FOIL. See the attachment below.

F irst

O utside

I nside

L ast

Aleks [24]3 years ago
4 0

Answer:

(3b + 5)(3b - 5)

Step-by-step explanation:

(3b + 5)(3b - 5)

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Find the slope of the line y = 5x + 4.
avanturin [10]

Answer:

x=1/5y+−4/5

Step-by-step explanation:

Let's solve for x.

y=5x+4

Step 1: Flip the equation.

5x+4=y

Step 2: Add -4 to both sides.

5x+4+−4=y+−4/5x=y−4

Step 3: Divide both sides by 5.

5x/5=y−4/5x=1'5y+−4'5

Answer:

x=1/5y+−4/5

( I hope this was helpful) >;D

6 0
3 years ago
You are on a limited budget and planning a four day camping trip to a national park. bus fare is 75 dollars each way and the rid
Schach [20]

Considering that you are planning the trip with limited budget and only for 4 days (=96h) you must value both time and money when doing it.

If you use the bus you spend $75 + $75=$150 and 12h + 12h = 24h. This means you spend $150 to enjoy 96h - 24h = 72h of actually camping. This means you pay $150/72h = $2,08 per hour of actual camping.

On the other hand if you choose the plane you spend $150 + $ 150 = $300 and 1,5h + 1,5h = 3h. This means you spend $300 to enjoy 96h - 3h = 93h. This means you pay $300/93h = $3,22 per hour of actual camping.

Considering all that, taking the bus his the most cost-effective option (and the cheaper one also).

6 0
3 years ago
A housekeeper had 4/5 of a spray bottle of a cleaning solution. He used 1/8 of the solution in a day.How much of the bottle did
valina [46]

Answer:

0.1

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Make r the subject of x= e + r/d
neonofarm [45]

Step-by-step explanation:

X=e+r/d

swap both sides

e+r/d=x

subtract e from both sides

e-e+r/d=x-e

r/d=x-e

multiply d to both sides

d×r/d=x-e×d

r=x-e×d

7 0
3 years ago
A human hair is approximately 40 microns (um) wide. If 1 um is equal to 10
Natasha2012 [34]

Answer:

D 40,000nm

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Therefore in 40 microns there are:

40um * 10^3 nm/um = 40 * 10^3 nm = 40,000 nm

5 0
2 years ago
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