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krok68 [10]
3 years ago
9

The only solution of the equation x2 + bx + 16 = 0 is x = 4. What is the value of b?

Mathematics
2 answers:
denis23 [38]3 years ago
4 0

Answer:

88

Step-by-step explanation:

x2+bx+16=0

4x2+16x4+16=0

8+64+16=0

72+16=0

88

Jlenok [28]3 years ago
4 0

Answer:

guys the answer is c.. on EDG at least trust me i just did it

Step-by-step explanation:

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Prove that an = 4^n + 2(-1)^nis the solution to
olga nikolaevna [1]

Answer:

See proof below

Step-by-step explanation:

We have to verify that if we substitute a_n=4^n+2(-1)^n in the equation a_n=3a_{n-1}+4a_{n-2} the equality is true.

Let's substitute first in the right hand side:

3a_{n-1}+4a_{n-2}=3(4^{n-1}+2(-1)^{n-1})+4(4^{n-2}+2(-1)^{n-2})

Now we use the distributive laws. Also, note that (-1)^{n-1}=\frac{1}{-1}(-1)^n=(-1)(-1)^{n} (this also works when the power is n-2).

=3(4^{n-1})+6(-1)^{n-1}+4(4^{n-2})+8(-1)^{n-2}

=3(4^{n-1})+(-1)(6)(-1)^{n}+4^{n-1}+(-1)^2(8)(-1)^{n}

=4(4^{n-1})-6(-1)^{n}+8(-1)^{n}=4^n+2(-1)^n=a_n

then the sequence solves the recurrence relation.

4 0
3 years ago
giá tiền cước của một hãng taxi được tính như sau :giá mở đến 1km đầu là 12000 đồng ; 10500 đồng/km cho 20 km tiếp theo và 99000
dolphi86 [110]

<em>Answer:</em>

<em>Ông sáu sẽ mất 4281000 đồng</em>

8 0
3 years ago
It costs more to produce defective items - since they must be scrapped or reworked - than it does to produce non-defective items
Shtirlitz [24]

Answer:

1,082

Step-by-step explanation:

The sample size n in Simple Random Sampling is given by

\bf n=\frac{z^2s^2}{e^2}

where  

z = 1.645 is the critical value for a 90% confidence level (*)

s = 2 is the estimated population standard deviation

e = 0.1 mm points is the margin of error

so  

\bf n=\frac{z^2s^2}{e^2}=\frac{(1.645)^2(2)^2}{(0.1)^2}=1,082.22\approx 1,083

rounded up to the nearest integer.

So the manufacturer should test 1,083 parts.

---------------------------------------------------------------------------------------

(*)This is a point z such that the area under the Normal curve N(0,1) outside the interval [-z, z] equals 10% = 0.1

It can be obtained in Excel with

NORMINV(1-0.05,0,1)

and in OpenOffice Calc with

NORMINV(1-0.05;0;1)

5 0
3 years ago
Let f(x)=x2+2x+3 . What is the average rate of change for the quadratic function from x=−2 to x = 5? Enter your answer in the bo
Crazy boy [7]

Answer:

Hello I just took the test and the answer is 5!

5 0
3 years ago
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If you were to spin a spinner at right what would be the probability of landing on green or purple
AURORKA [14]

depending on how many green and purple there are, lets say 4, and there are 10 other colors, it would be 4/10 so its 40%

5 0
3 years ago
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