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Helen [10]
2 years ago
8

Solve the equation 9b2 + 30b + 25 = 0.

Mathematics
1 answer:
jeka57 [31]2 years ago
5 0
Factor the equation into...
(3b+5)(3b+5)=0
Each factor 3b+5=0 so 3b=-5 so b=-5/3

Check:
9(-5/3)^2+30(-5/3)+25=
9(25/9)-50+25=
25-50+25=0
It checks,

So answer is A.-5/3
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If the adjacent is 8, the opposite is 15, and the hypotenuse is 17. Express sin H as a fraction in simplest terms.
Serggg [28]

Answer:

\frac{15}{17}

Step-by-step explanation:

Have a nice day

5 0
3 years ago
In a 5% sale, the price of a phone is reduced by £19.4 Find the original price of the phone
gulaghasi [49]

Answer:

The original price of the phone is £388.

Step-by-step explanation:

Since 5% of the price of the phone is reduced, you can simply multiply the reduced number which is £19.4 by 20.  Your final answer should be £388 when you put it on a calculator or do it on a piece of paper.

4 0
3 years ago
Truck tire life is normally distributed with a mean of 60,000 miles and a standard deviation of 4,000 miles. what is the probabi
olasank [31]
To solve for the P(54,000≤x≤66000) we proceed as follows:
z-score=(x-μ)/σ
μ-60000
σ-4000
thus:
when x=66,000
z-score=(66000-60000)/4000=1.5
P(z≤1.5)=0.9332
when x=54000
z=(54000-60000)/4000
z=-1.5
P(z≤-1.5)=0.0668
thus
 P(54,000≤x≤66000) 
=P(z≤1.5)-P(z≤-1.5)
=0.9332-0.0668
=0.8664

Answer: 0.8664
8 0
3 years ago
Determine if (-1,9) and (-2,6) are solutions to the system of equations: x + y = 8 x2 + y = 10 A) Both are solutions B) Neither
Dahasolnce [82]

Answer:

D) Only (-1,9) is a solution.

Step-by-step explanation:

x+y =8

x^2 + y = 10

Lets check the first point (-1,9)

Put in x =-1 y =9

x+y =8

-1+9 = 8

8 =8

This works

x^2 + y = 10

(-1)^2 +9 =10

1+9 = 10

10 = 10

This works

Lets check the second point (-2,6)

Put in x =-2 y =6

x+y =8

-2+6 = 8

4=8

This  does not work

We can stop now.  (-2,6) cannot be a solution

7 0
3 years ago
Maggie's brother is 4 years younger than three times her age. The sum of their ages is 16.
bearhunter [10]

Answer:

Maggie is 5 years old

Step-by-step explanation:

3M-4+M=16

add 4 to both sides

4M=20

Divide both sides by 4

20/4 = 5

M/Maggie is 5

7 0
3 years ago
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